Metrics for acos(((x + y + z)

analyze143.0ms (2.9%)

Memory

4.9MiB live, 29.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.5%	87.5%	0%	0%	0%	0
0%	0%	12.5%	87.5%	0%	0%	0%	1
0%	0%	12.5%	87.5%	0%	0%	0%	2
25%	3.1%	9.3%	87.5%	0%	0%	0%	3
50%	6.2%	6.2%	87.5%	0%	0%	0%	4
50%	6.2%	6.2%	87.5%	0%	0%	0%	5
59.4%	7.4%	5.1%	87.5%	0%	0%	0%	6
64.1%	8%	4.5%	87.5%	0%	0%	0%	7
68%	8.5%	4%	87.5%	0%	0%	0%	8
74.6%	9.3%	3.2%	87.5%	0%	0%	0%	9
78.7%	9.8%	2.7%	87.5%	0%	0%	0%	10
81.9%	10.2%	2.3%	87.5%	0%	0%	0%	11
85.9%	10.7%	1.8%	87.5%	0%	0%	0%	12

Compiler

Compiled 34 to 23 computations (32.4% saved)

sample1.1s (22.1%)

Memory

24.3MiB live, 383.9MiB allocated

Samples

742.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 505.0ms

ival-acos: 150.0ms (29.7% of total)

ival-<=: 115.0ms (22.8% of total)

ival-add: 89.0ms (17.6% of total)

ival-div: 61.0ms (12.1% of total)

ival-sub: 39.0ms (7.7% of total)

ival-and: 33.0ms (6.5% of total)

exact: 15.0ms (3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess412.0ms (8.4%)

Memory

0.6MiB live, 34.3MiB allocated

Algorithm

2×	egg-herbie

Rules

2 736×	`accelerator-lowering-fma.f32`
2 736×	`accelerator-lowering-fma.f64`
1 522×	`sub-neg`
1 332×	`div-sub`
672×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	105
1	115	103
2	249	103
3	573	103
4	1451	103
5	2681	103
6	4188	103
7	5087	103
8	5325	103
9	5359	103
10	5360	103
11	5360	103
12	5360	103
13	5360	103
14	5373	103
15	5373	103
16	5377	103
0	10	10
1	25	10
2	50	10
3	94	10
4	127	10
5	178	10
6	331	10
7	828	10
8	1582	10
9	2261	10
10	2639	10
11	2675	10
12	2675	10
0	2675	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(acos (/ (- (+ (+ x y) z) 1) 2))

Outputs
(acos (/ (- (+ (+ x y) z) 1) 2))
(acos.f64 (fma.f64 (+.f64 (+.f64 x y) z) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))

Call 2

Inputs
(acos (/ (- (+ (+ x y) z) 1) 2))
(acos (/ (- (+ (+ (neg x) y) z) 1) 2))
(acos (/ (- (+ (+ x (neg y)) z) 1) 2))
(acos (/ (- (+ (+ x y) (neg z)) 1) 2))
(neg (acos (/ (- (+ (+ (neg x) y) z) 1) 2)))
(neg (acos (/ (- (+ (+ x (neg y)) z) 1) 2)))
(neg (acos (/ (- (+ (+ x y) (neg z)) 1) 2)))
(acos (/ (- (+ (+ y x) z) 1) 2))
(acos (/ (- (+ (+ z y) x) 1) 2))
(acos (/ (- (+ (+ x z) y) 1) 2))

Outputs
(acos (/ (- (+ (+ x y) z) 1) 2))
(acos (* (+ y (+ x (+ z -1))) 1/2))
(acos (/ (- (+ (+ (neg x) y) z) 1) 2))
(acos (+ (* (+ y (- z x)) 1/2) -1/2))
(acos (/ (- (+ (+ x (neg y)) z) 1) 2))
(acos (* (+ x (+ z (- -1 y))) 1/2))
(acos (/ (- (+ (+ x y) (neg z)) 1) 2))
(acos (* (+ x (+ -1 (- y z))) 1/2))
(neg (acos (/ (- (+ (+ (neg x) y) z) 1) 2)))
(neg (acos (+ (* (+ y (- z x)) 1/2) -1/2)))
(neg (acos (/ (- (+ (+ x (neg y)) z) 1) 2)))
(neg (acos (* (+ x (+ z (- -1 y))) 1/2)))
(neg (acos (/ (- (+ (+ x y) (neg z)) 1) 2)))
(neg (acos (* (+ x (+ -1 (- y z))) 1/2)))
(acos (/ (- (+ (+ y x) z) 1) 2))
(acos (* (+ y (+ x (+ z -1))) 1/2))
(acos (/ (- (+ (+ z y) x) 1) 2))
(acos (* (+ y (+ x (+ z -1))) 1/2))
(acos (/ (- (+ (+ x z) y) 1) 2))
(acos (* (+ y (+ x (+ z -1))) 1/2))

Symmetry

(sort x y z)

explain112.0ms (2.3%)

Memory

-28.0MiB live, 50.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
-	-	`(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
-	-	`z`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 (+.f64 x y) z)`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 108 to 44 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-acos: 10.0ms (45.3% of total)

ival-add: 5.0ms (22.7% of total)

ival-div: 4.0ms (18.1% of total)

ival-sub: 2.0ms (9.1% of total)

exact: 1.0ms (4.5% of total)

ival-true: 1.0ms (4.5% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify130.0ms (2.7%)

Memory

1.9MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (+.f64 x y) z)
✓	cost-diff	0	(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))
✓	cost-diff	0	(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	cost-diff	512	(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

2 736×	`accelerator-lowering-fma.f32`
2 736×	`accelerator-lowering-fma.f64`
672×	`-lowering-.f32`
672×	`-lowering-.f64`
624×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	25	39
2	50	39
3	94	39
4	127	39
5	178	39
6	331	39
7	828	39
8	1582	39
9	2261	39
10	2639	39
11	2675	39
12	2675	39
0	2675	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(acos (/ (- (+ (+ x y) z) 1) 2))
(/ (- (+ (+ x y) z) 1) 2)
(- (+ (+ x y) z) 1)
(+ (+ x y) z)
(+ x y)
x
y
z
1
2

Outputs
(acos (/ (- (+ (+ x y) z) 1) 2))
(acos.f64 (fma.f64 (+.f64 (+.f64 x y) z) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/ (- (+ (+ x y) z) 1) 2)
(fma.f64 (+.f64 (+.f64 x y) z) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (+ (+ x y) z) 1)
(+.f64 z (+.f64 y (+.f64 x #s(literal -1 binary64))))
(+ (+ x y) z)
(+.f64 (+.f64 x y) z)
(+ x y)
(+.f64 x y)
x
y
z
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)

localize32.0ms (0.7%)

Memory

-4.8MiB live, 10.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 x y) z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 41 to 12 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-acos: 5.0ms (43.5% of total)

ival-add: 3.0ms (26.1% of total)

ival-div: 2.0ms (17.4% of total)

ival-sub: 1.0ms (8.7% of total)

exact: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#<alt (/ (- (+ (+ x y) z) 1) 2)>
#<alt (acos (/ (- (+ (+ x y) z) 1) 2))>
#<alt (- (+ (+ x y) z) 1)>
#<alt (+ (+ x y) z)>
#<alt (+ x y)>

Outputs
#<alt (* 1/2 (- (+ y z) 1))>
#<alt (+ (* 1/2 x) (* 1/2 (- (+ y z) 1)))>
#<alt (+ (* 1/2 x) (* 1/2 (- (+ y z) 1)))>
#<alt (+ (* 1/2 x) (* 1/2 (- (+ y z) 1)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2)))>
#<alt (* 1/2 (- (+ x z) 1))>
#<alt (+ (* 1/2 y) (* 1/2 (- (+ x z) 1)))>
#<alt (+ (* 1/2 y) (* 1/2 (- (+ x z) 1)))>
#<alt (+ (* 1/2 y) (* 1/2 (- (+ x z) 1)))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2)))>
#<alt (* 1/2 (- (+ x y) 1))>
#<alt (+ (* 1/2 z) (* 1/2 (- (+ x y) 1)))>
#<alt (+ (* 1/2 z) (* 1/2 (- (+ x y) 1)))>
#<alt (+ (* 1/2 z) (* 1/2 (- (+ x y) 1)))>
#<alt (* 1/2 z)>
#<alt (* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z))))>
#<alt (* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z))))>
#<alt (* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z))))>
#<alt (* 1/2 z)>
#<alt (* -1 (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2)))>
#<alt (* -1 (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2)))>
#<alt (* -1 (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))>
#<alt (acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))>
#<alt (acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))>
#<alt (acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))>
#<alt (acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))>
#<alt (acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))>
#<alt (acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))>
#<alt (acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))>
#<alt (acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))>
#<alt (acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))>
#<alt (- (+ y z) 1)>
#<alt (- (+ x (+ y z)) 1)>
#<alt (- (+ x (+ y z)) 1)>
#<alt (- (+ x (+ y z)) 1)>
#<alt x>
#<alt (* x (- (+ 1 (+ (/ y x) (/ z x))) (/ 1 x)))>
#<alt (* x (- (+ 1 (+ (/ y x) (/ z x))) (/ 1 x)))>
#<alt (* x (- (+ 1 (+ (/ y x) (/ z x))) (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y z) 1) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y z) 1) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y z) 1) x)) 1)))>
#<alt (- (+ x z) 1)>
#<alt (- (+ x (+ y z)) 1)>
#<alt (- (+ x (+ y z)) 1)>
#<alt (- (+ x (+ y z)) 1)>
#<alt y>
#<alt (* y (- (+ 1 (+ (/ x y) (/ z y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (+ (/ x y) (/ z y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (+ (/ x y) (/ z y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (+ x z) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (+ x z) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (+ x z) 1) y)) 1)))>
#<alt (- (+ x y) 1)>
#<alt (- (+ x (+ y z)) 1)>
#<alt (- (+ x (+ y z)) 1)>
#<alt (- (+ x (+ y z)) 1)>
#<alt z>
#<alt (* z (- (+ 1 (+ (/ x z) (/ y z))) (/ 1 z)))>
#<alt (* z (- (+ 1 (+ (/ x z) (/ y z))) (/ 1 z)))>
#<alt (* z (- (+ 1 (+ (/ x z) (/ y z))) (/ 1 z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (- (+ x y) 1) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ x y) 1) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ x y) 1) z)) 1)))>
#<alt (+ y z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ y z))>
#<alt (+ x (+ y z))>
#<alt x>
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))>
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))>
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ y z))>
#<alt (+ x (+ y z))>
#<alt y>
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))>
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))>
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))>
#<alt (+ x y)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ y z))>
#<alt (+ x (+ y z))>
#<alt z>
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))>
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))>
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/ (- (+ (+ x y) z) 1) 2)
0.0ms	x	@	inf	(/ (- (+ (+ x y) z) 1) 2)
0.0ms	x	@	-inf	(/ (- (+ (+ x y) z) 1) 2)
0.0ms	y	@	inf	(/ (- (+ (+ x y) z) 1) 2)
0.0ms	z	@	inf	(/ (- (+ (+ x y) z) 1) 2)

rewrite332.0ms (6.8%)

Memory

2.0MiB live, 149.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 612×	`accelerator-lowering-fma.f32`
6 612×	`accelerator-lowering-fma.f64`
5 178×	`-lowering-.f32`
5 178×	`-lowering-.f64`
3 934×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	73	34
2	633	34
0	8453	32

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 457

Calls

Call 1

Inputs
(/ (- (+ (+ x y) z) 1) 2)
(acos (/ (- (+ (+ x y) z) 1) 2))
(- (+ (+ x y) z) 1)
(+ (+ x y) z)
(+ x y)

Outputs
(+.f64 (*.f64 (+.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x (+.f64 y z)) #s(literal 1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 y z))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 y z) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 z #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 #s(literal 1/2 binary64) (+.f64 z #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 z #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(+.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 x y) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 y z))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 (+.f64 x (+.f64 y z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (+.f64 (+.f64 y z) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 (+.f64 x (+.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)))
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(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))))
(.f64 (.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))

simplify235.0ms (4.8%)

Memory

-1.3MiB live, 97.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 898×	`accelerator-lowering-fma.f32`
7 898×	`accelerator-lowering-fma.f64`
3 012×	`-lowering-.f32`
3 012×	`-lowering-.f64`
1 994×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1062
1	371	1062
2	1057	1062
3	3567	1062
0	8444	996

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 1/2 (- (+ y z) 1))
(+ (* 1/2 x) (* 1/2 (- (+ y z) 1)))
(+ (* 1/2 x) (* 1/2 (- (+ y z) 1)))
(+ (* 1/2 x) (* 1/2 (- (+ y z) 1)))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x))))
(* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x))))
(* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2)))
(* 1/2 (- (+ x z) 1))
(+ (* 1/2 y) (* 1/2 (- (+ x z) 1)))
(+ (* 1/2 y) (* 1/2 (- (+ x z) 1)))
(+ (* 1/2 y) (* 1/2 (- (+ x z) 1)))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y))))
(* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y))))
(* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2)))
(* 1/2 (- (+ x y) 1))
(+ (* 1/2 z) (* 1/2 (- (+ x y) 1)))
(+ (* 1/2 z) (* 1/2 (- (+ x y) 1)))
(+ (* 1/2 z) (* 1/2 (- (+ x y) 1)))
(* 1/2 z)
(* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z))))
(* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z))))
(* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z))))
(* 1/2 z)
(* -1 (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2)))
(* -1 (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2)))
(* -1 (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))
(acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))
(acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))
(acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))
(- (+ y z) 1)
(- (+ x (+ y z)) 1)
(- (+ x (+ y z)) 1)
(- (+ x (+ y z)) 1)
x
(* x (- (+ 1 (+ (/ y x) (/ z x))) (/ 1 x)))
(* x (- (+ 1 (+ (/ y x) (/ z x))) (/ 1 x)))
(* x (- (+ 1 (+ (/ y x) (/ z x))) (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (- (+ y z) 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y z) 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y z) 1) x)) 1)))
(- (+ x z) 1)
(- (+ x (+ y z)) 1)
(- (+ x (+ y z)) 1)
(- (+ x (+ y z)) 1)
y
(* y (- (+ 1 (+ (/ x y) (/ z y))) (/ 1 y)))
(* y (- (+ 1 (+ (/ x y) (/ z y))) (/ 1 y)))
(* y (- (+ 1 (+ (/ x y) (/ z y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (+ x z) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ x z) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ x z) 1) y)) 1)))
(- (+ x y) 1)
(- (+ x (+ y z)) 1)
(- (+ x (+ y z)) 1)
(- (+ x (+ y z)) 1)
z
(* z (- (+ 1 (+ (/ x z) (/ y z))) (/ 1 z)))
(* z (- (+ 1 (+ (/ x z) (/ y z))) (/ 1 z)))
(* z (- (+ 1 (+ (/ x z) (/ y z))) (/ 1 z)))
z
(* -1 (* z (- (* -1 (/ (- (+ x y) 1) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (+ x y) 1) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (+ x y) 1) z)) 1)))
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(* 1/2 (- (+ y z) 1))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64))
(+ (* 1/2 x) (* 1/2 (- (+ y z) 1)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(+ (* 1/2 x) (* 1/2 (- (+ y z) 1)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(+ (* 1/2 x) (* 1/2 (- (+ y z) 1)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* -1 (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* -1 (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* 1/2 (- (+ x z) 1))
(fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64))
(+ (* 1/2 y) (* 1/2 (- (+ x z) 1)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(+ (* 1/2 y) (* 1/2 (- (+ x z) 1)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(+ (* 1/2 y) (* 1/2 (- (+ x z) 1)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* 1/2 (- (+ x y) 1))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y x) #s(literal -1/2 binary64))
(+ (* 1/2 z) (* 1/2 (- (+ x y) 1)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(+ (* 1/2 z) (* 1/2 (- (+ x y) 1)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(+ (* 1/2 z) (* 1/2 (- (+ x y) 1)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* -1 (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* -1 (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(* -1 (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ y z) (+ 1 (* -1 x)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(acos (* 1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal -1/2 binary64)))
(- (+ y z) 1)
(+.f64 y (+.f64 z #s(literal -1 binary64)))
(- (+ x (+ y z)) 1)
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(- (+ x (+ y z)) 1)
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(- (+ x (+ y z)) 1)
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
x
(* x (- (+ 1 (+ (/ y x) (/ z x))) (/ 1 x)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* x (- (+ 1 (+ (/ y x) (/ z x))) (/ 1 x)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* x (- (+ 1 (+ (/ y x) (/ z x))) (/ 1 x)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (- (+ y z) 1) x)) 1)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- (+ y z) 1) x)) 1)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ (- (+ y z) 1) x)) 1)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(- (+ x z) 1)
(+.f64 z (+.f64 x #s(literal -1 binary64)))
(- (+ x (+ y z)) 1)
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(- (+ x (+ y z)) 1)
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(- (+ x (+ y z)) 1)
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
y
(* y (- (+ 1 (+ (/ x y) (/ z y))) (/ 1 y)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* y (- (+ 1 (+ (/ x y) (/ z y))) (/ 1 y)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* y (- (+ 1 (+ (/ x y) (/ z y))) (/ 1 y)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
y
(* -1 (* y (- (* -1 (/ (- (+ x z) 1) y)) 1)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ (- (+ x z) 1) y)) 1)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ (- (+ x z) 1) y)) 1)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(- (+ x y) 1)
(+.f64 y (+.f64 x #s(literal -1 binary64)))
(- (+ x (+ y z)) 1)
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(- (+ x (+ y z)) 1)
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(- (+ x (+ y z)) 1)
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
z
(* z (- (+ 1 (+ (/ x z) (/ y z))) (/ 1 z)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* z (- (+ 1 (+ (/ x z) (/ y z))) (/ 1 z)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* z (- (+ 1 (+ (/ x z) (/ y z))) (/ 1 z)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
z
(* -1 (* z (- (* -1 (/ (- (+ x y) 1) z)) 1)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* -1 (* z (- (* -1 (/ (- (+ x y) 1) z)) 1)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(* -1 (* z (- (* -1 (/ (- (+ x y) 1) z)) 1)))
(+.f64 (+.f64 y z) (+.f64 x #s(literal -1 binary64)))
(+ y z)
(+.f64 y z)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ y z))
(+.f64 y (+.f64 z x))
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 y (+.f64 z x))
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 y (+.f64 z x))
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 y (+.f64 z x))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 y (+.f64 z x))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 y (+.f64 z x))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 y (+.f64 z x))
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ y z))
(+.f64 y (+.f64 z x))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 y (+.f64 z x))
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 y (+.f64 z x))
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 y (+.f64 z x))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 y (+.f64 z x))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 y (+.f64 z x))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 y (+.f64 z x))
(+ x y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ y z))
(+.f64 y (+.f64 z x))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 y (+.f64 z x))
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 y (+.f64 z x))
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 y (+.f64 z x))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 y (+.f64 z x))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 y (+.f64 z x))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 y (+.f64 z x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

eval74.0ms (1.5%)

Memory: 5.1MiB live, 57.6MiB allocated
Compiler: Compiled 14 500 to 2 095 computations (85.6% saved)

prune63.0ms (1.3%)

Memory

-4.9MiB live, 62.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	618	7	625
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	619	7	626

Accuracy

100.0%

Counts

626 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
▶	99.7%	(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))
▶	97.6%	(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))
	100.0%	(acos.f64 (/.f64 (fma.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (+.f64 x y)) #s(literal 2 binary64)))
▶	100.0%	(acos.f64 (/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
	100.0%	(acos.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
▶	20.4%	(acos.f64 (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 230 to 148 computations (35.7% saved)

simplify260.0ms (5.3%)

Memory

1.7MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(acos.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	128	(*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64))
✓	cost-diff	0	(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64))
✓	cost-diff	0	(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(acos.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(+.f64 x (+.f64 y z))
✓	cost-diff	0	(fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64))
✓	cost-diff	0	(acos.f64 (/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
✓	cost-diff	1728	(/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)))

Rules

8 224×	`accelerator-lowering-fma.f32`
8 224×	`accelerator-lowering-fma.f64`
4 066×	`+-lowering-+.f64`
4 066×	`+-lowering-+.f32`
2 930×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	187
1	68	187
2	212	163
3	775	159
4	4126	159
5	4872	159
0	8134	150

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(acos (/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2)))
(/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2))
(+ (* (+ x (+ y z)) (+ x (+ y z))) -1)
(+ x (+ y z))
x
(+ y z)
y
z
-1
(+ (* (+ x (+ y z)) 2) 2)
2
(acos (* 1/2 x))
(* 1/2 x)
1/2
x
(acos (+ (* 1/2 (+ y z)) -1/2))
(+ (* 1/2 (+ y z)) -1/2)
1/2
(+ y z)
y
z
-1/2
(acos (+ (* 1/2 (+ z x)) -1/2))
(+ (* 1/2 (+ z x)) -1/2)
1/2
(+ z x)
z
x
-1/2
(- (PI) (acos (* (+ (+ x (+ y z)) -1) -1/2)))
(PI)
(acos (* (+ (+ x (+ y z)) -1) -1/2))
(* (+ (+ x (+ y z)) -1) -1/2)
(+ (+ x (+ y z)) -1)
(+ x (+ y z))
x
(+ y z)
y
z
-1
-1/2

Outputs
(acos (/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2)))
(acos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) (+.f64 y z)))))
(/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2))
(*.f64 #s(literal 1/2 binary64) (-.f64 x (-.f64 #s(literal 1 binary64) (+.f64 y z))))
(+ (* (+ x (+ y z)) (+ x (+ y z))) -1)
(fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64))
(+ x (+ y z))
(+.f64 x (+.f64 y z))
x
(+ y z)
(+.f64 y z)
y
z
-1
#s(literal -1 binary64)
(+ (* (+ x (+ y z)) 2) 2)
(fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(acos (* 1/2 x))
(acos.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(acos (+ (* 1/2 (+ y z)) -1/2))
(acos.f64 (fma.f64 (+.f64 y z) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(+ (* 1/2 (+ y z)) -1/2)
(fma.f64 (+.f64 y z) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ y z)
(+.f64 y z)
y
z
-1/2
#s(literal -1/2 binary64)
(acos (+ (* 1/2 (+ z x)) -1/2))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x z) #s(literal -1/2 binary64)))
(+ (* 1/2 (+ z x)) -1/2)
(fma.f64 #s(literal 1/2 binary64) (+.f64 x z) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ z x)
(+.f64 x z)
z
x
-1/2
#s(literal -1/2 binary64)
(- (PI) (acos (* (+ (+ x (+ y z)) -1) -1/2)))
(-.f64 (PI.f64) (acos.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(PI)
(PI.f64)
(acos (* (+ (+ x (+ y z)) -1) -1/2))
(acos.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* (+ (+ x (+ y z)) -1) -1/2)
(fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ (+ x (+ y z)) -1)
(-.f64 x (-.f64 #s(literal 1 binary64) (+.f64 y z)))
(+ x (+ y z))
(+.f64 x (+.f64 y z))
x
(+ y z)
(+.f64 y z)
y
z
-1
#s(literal -1 binary64)
-1/2
#s(literal -1/2 binary64)

localize97.0ms (2%)

Memory

-0.2MiB live, 38.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(+.f64 x (+.f64 y z))
✓	accuracy	100.0%	(acos.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	98.6%	(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(acos.f64 (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(+.f64 x (+.f64 y z))
✓	accuracy	100.0%	(acos.f64 (/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)))

Samples

61.0ms

256×

valid

Compiler

Compiled 179 to 31 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-acos: 18.0ms (43.1% of total)

ival-mult: 10.0ms (24% of total)

ival-add: 9.0ms (21.6% of total)

ival-div: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

ival-sub: 1.0ms (2.4% of total)

ival-pi: 1.0ms (2.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory

2.6MiB live, 9.8MiB allocated

Counts

16 → 420

Calls

Call 1

Inputs
#<alt (/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2))>
#<alt (acos (/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2)))>
#<alt (+ (* (+ x (+ y z)) (+ x (+ y z))) -1)>
#<alt (+ x (+ y z))>
#<alt (acos (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (acos (+ (* 1/2 (+ y z)) -1/2))>
#<alt (+ (* 1/2 (+ y z)) -1/2)>
#<alt (+ y z)>
#<alt (acos (+ (* 1/2 (+ z x)) -1/2))>
#<alt (+ (* 1/2 (+ z x)) -1/2)>
#<alt (+ z x)>
#<alt (* (+ (+ x (+ y z)) -1) -1/2)>
#<alt (- (PI) (acos (* (+ (+ x (+ y z)) -1) -1/2)))>
#<alt (PI)>
#<alt (acos (* (+ (+ x (+ y z)) -1) -1/2))>

Outputs
#<alt (/ (- (pow (+ y z) 2) 1) (+ 2 (* 2 (+ y z))))>
#<alt (- (+ (* x (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (* 2 (/ z (+ 2 (* 2 (+ y z)))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2))))) (/ (pow (+ y z) 2) (+ 2 (* 2 (+ y z))))) (/ 1 (+ 2 (* 2 (+ y z)))))>
#<alt (- (+ (* x (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (+ (* 2 (/ z (+ 2 (* 2 (+ y z))))) (* x (- (/ 1 (+ 2 (* 2 (+ y z)))) (* 2 (/ (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (* 2 (/ z (+ 2 (* 2 (+ y z)))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2)))) (+ 2 (* 2 (+ y z))))))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2))))) (/ (pow (+ y z) 2) (+ 2 (* 2 (+ y z))))) (/ 1 (+ 2 (* 2 (+ y z)))))>
#<alt (- (+ (* x (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (+ (* 2 (/ z (+ 2 (* 2 (+ y z))))) (* x (- (+ (* -2 (/ (* x (- (/ 1 (+ 2 (* 2 (+ y z)))) (* 2 (/ (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (* 2 (/ z (+ 2 (* 2 (+ y z)))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2)))) (+ 2 (* 2 (+ y z))))))) (+ 2 (* 2 (+ y z))))) (/ 1 (+ 2 (* 2 (+ y z))))) (* 2 (/ (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (* 2 (/ z (+ 2 (* 2 (+ y z)))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2)))) (+ 2 (* 2 (+ y z))))))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2))))) (/ (pow (+ y z) 2) (+ 2 (* 2 (+ y z))))) (/ 1 (+ 2 (* 2 (+ y z)))))>
#<alt (* 1/2 x)>
#<alt (* x (- (+ 1/2 (* 1/2 (/ (+ (* 2 y) (* 2 z)) x))) (* 1/4 (/ (+ 2 (* 2 (+ y z))) x))))>
#<alt (* x (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 y) (* 2 z)) x)) (* 1/2 (/ (- (pow (+ y z) 2) 1) (pow x 2))))) (+ (* 1/4 (/ (+ 2 (* 2 (+ y z))) x)) (* 1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (+ (* 2 y) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ y z)))))) (pow x 2))))))>
#<alt (* x (- (+ 1/2 (+ (* -1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (- (pow (+ y z) 2) 1)) (* 1/2 (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (+ (* 2 y) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ y z))))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* 2 y) (* 2 z)) x)) (* 1/2 (/ (- (pow (+ y z) 2) 1) (pow x 2)))))) (+ (* 1/4 (/ (+ 2 (* 2 (+ y z))) x)) (* 1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (+ (* 2 y) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ y z)))))) (pow x 2))))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y z) (* 1/4 (+ 2 (* 2 (+ y z))))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (+ z (* -1 (/ (- (* -1/2 (- (pow (+ y z) 2) 1)) (* -1/2 (* (+ 2 (* 2 (+ y z))) (- (+ y z) (* 1/4 (+ 2 (* 2 (+ y z)))))))) x)))) (* 1/4 (+ 2 (* 2 (+ y z))))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ y (+ z (* -1 (/ (- (+ (* -1/2 (- (pow (+ y z) 2) 1)) (* -1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* -1/2 (- (pow (+ y z) 2) 1)) (* -1/2 (* (+ 2 (* 2 (+ y z))) (- (+ y z) (* 1/4 (+ 2 (* 2 (+ y z))))))))) x))) (* -1/2 (* (+ 2 (* 2 (+ y z))) (- (+ y z) (* 1/4 (+ 2 (* 2 (+ y z)))))))) x)))) (* 1/4 (+ 2 (* 2 (+ y z))))) x)) 1/2)))>
#<alt (/ (- (pow (+ x z) 2) 1) (+ 2 (* 2 (+ x z))))>
#<alt (- (+ (* y (- (+ (* 2 (/ x (+ 2 (* 2 (+ x z))))) (* 2 (/ z (+ 2 (* 2 (+ x z)))))) (* 2 (/ (- (pow (+ x z) 2) 1) (pow (+ 2 (* 2 (+ x z))) 2))))) (/ (pow (+ x z) 2) (+ 2 (* 2 (+ x z))))) (/ 1 (+ 2 (* 2 (+ x z)))))>
#<alt (- (+ (* y (- (+ (* 2 (/ x (+ 2 (* 2 (+ x z))))) (+ (* 2 (/ z (+ 2 (* 2 (+ x z))))) (* y (- (/ 1 (+ 2 (* 2 (+ x z)))) (* 2 (/ (- (+ (* 2 (/ x (+ 2 (* 2 (+ x z))))) (* 2 (/ z (+ 2 (* 2 (+ x z)))))) (* 2 (/ (- (pow (+ x z) 2) 1) (pow (+ 2 (* 2 (+ x z))) 2)))) (+ 2 (* 2 (+ x z))))))))) (* 2 (/ (- (pow (+ x z) 2) 1) (pow (+ 2 (* 2 (+ x z))) 2))))) (/ (pow (+ x z) 2) (+ 2 (* 2 (+ x z))))) (/ 1 (+ 2 (* 2 (+ x z)))))>
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#<alt (* x (- (+ 1/2 (* 1/2 (/ z x))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ 1/2 (* 1/2 (/ z x))) (* 1/2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 z) 1/2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 z) 1/2) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 z) 1/2) x)) 1/2)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1/2 (- (+ y z) 1))>
#<alt (+ (* -1/2 x) (* -1/2 (- (+ y z) 1)))>
#<alt (+ (* -1/2 x) (* -1/2 (- (+ y z) 1)))>
#<alt (+ (* -1/2 x) (* -1/2 (- (+ y z) 1)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2))>
#<alt (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2))>
#<alt (* x (- (* -1/2 (/ (- (+ y z) 1) x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ (- (+ y z) 1) x)))))>
#<alt (* -1/2 (- (+ x z) 1))>
#<alt (+ (* -1/2 y) (* -1/2 (- (+ x z) 1)))>
#<alt (+ (* -1/2 y) (* -1/2 (- (+ x z) 1)))>
#<alt (+ (* -1/2 y) (* -1/2 (- (+ x z) 1)))>
#<alt (* -1/2 y)>
#<alt (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2))>
#<alt (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2))>
#<alt (* y (- (* -1/2 (/ (- (+ x z) 1) y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y)))))>
#<alt (* -1 (* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y)))))>
#<alt (* -1 (* y (+ 1/2 (* 1/2 (/ (- (+ x z) 1) y)))))>
#<alt (* -1/2 (- (+ x y) 1))>
#<alt (+ (* -1/2 z) (* -1/2 (- (+ x y) 1)))>
#<alt (+ (* -1/2 z) (* -1/2 (- (+ x y) 1)))>
#<alt (+ (* -1/2 z) (* -1/2 (- (+ x y) 1)))>
#<alt (* -1/2 z)>
#<alt (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2))>
#<alt (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2))>
#<alt (* z (- (* -1/2 (/ (- (+ x y) 1) z)) 1/2))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/2 (/ (- (+ x y) 1) z)))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ y z) (+ 1 (* -1 x))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ y z) (+ 1 (* -1 x))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ y z) (+ 1 (* -1 x))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ y z) (+ 1 (* -1 x))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x z) (+ 1 (* -1 y))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x z) (+ 1 (* -1 y))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x z) (+ 1 (* -1 y))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x z) (+ 1 (* -1 y))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x (+ y z)) 1))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x y) (+ 1 (* -1 z))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x y) (+ 1 (* -1 z))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x y) (+ 1 (* -1 z))))))>
#<alt (- (PI) (acos (* -1/2 (- (+ x y) (+ 1 (* -1 z))))))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ y z) (+ 1 (* -1 x)))))>
#<alt (acos (* -1/2 (- (+ y z) (+ 1 (* -1 x)))))>
#<alt (acos (* -1/2 (- (+ y z) (+ 1 (* -1 x)))))>
#<alt (acos (* -1/2 (- (+ y z) (+ 1 (* -1 x)))))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x z) (+ 1 (* -1 y)))))>
#<alt (acos (* -1/2 (- (+ x z) (+ 1 (* -1 y)))))>
#<alt (acos (* -1/2 (- (+ x z) (+ 1 (* -1 y)))))>
#<alt (acos (* -1/2 (- (+ x z) (+ 1 (* -1 y)))))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x (+ y z)) 1)))>
#<alt (acos (* -1/2 (- (+ x y) (+ 1 (* -1 z)))))>
#<alt (acos (* -1/2 (- (+ x y) (+ 1 (* -1 z)))))>
#<alt (acos (* -1/2 (- (+ x y) (+ 1 (* -1 z)))))>
#<alt (acos (* -1/2 (- (+ x y) (+ 1 (* -1 z)))))>

Calls

105 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(* (+ (+ x (+ y z)) -1) -1/2)
2.0ms	z	@	inf	(/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2))
1.0ms	x	@	0	(/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2))
1.0ms	z	@	0	(acos (* (+ (+ x (+ y z)) -1) -1/2))
1.0ms	z	@	0	(/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2))

rewrite334.0ms (6.8%)

Memory

7.5MiB live, 148.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 378×	`-lowering-.f32`
4 378×	`-lowering-.f64`
3 948×	`accelerator-lowering-fma.f32`
3 948×	`accelerator-lowering-fma.f64`
3 894×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	136
1	204	106
2	1874	106
0	8549	100

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 549

Calls

Call 1

Inputs
(/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2))
(acos (/ (+ (* (+ x (+ y z)) (+ x (+ y z))) -1) (+ (* (+ x (+ y z)) 2) 2)))
(+ (* (+ x (+ y z)) (+ x (+ y z))) -1)
(+ x (+ y z))
(acos (* 1/2 x))
(* 1/2 x)
(acos (+ (* 1/2 (+ y z)) -1/2))
(+ (* 1/2 (+ y z)) -1/2)
(+ y z)
(acos (+ (* 1/2 (+ z x)) -1/2))
(+ (* 1/2 (+ z x)) -1/2)
(+ z x)
(* (+ (+ x (+ y z)) -1) -1/2)
(- (PI) (acos (* (+ (+ x (+ y z)) -1) -1/2)))
(PI)
(acos (* (+ (+ x (+ y z)) -1) -1/2))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (*.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal 1 binary64))) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal 1 binary64))) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) (.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (+.f64 (+.f64 x (+.f64 y z)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
(neg.f64 (/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(neg.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal 1 binary64)) (.f64 (+.f64 x (+.f64 y z)) (*.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal 1 binary64))))
(/.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal 1 binary64)) (.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)))) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal 1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal -1 binary64))) (neg.f64 (.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal 1 binary64)) (.f64 (+.f64 x (+.f64 y z)) (*.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)))) (-.f64 (fma.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal 1 binary64)) (.f64 (+.f64 x (+.f64 y z)) (*.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (*.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z))) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)))) #s(literal 1 binary64)) (.f64 (+.f64 x (+.f64 y z)) (.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)))) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (asin.f64 (.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))

simplify392.0ms (8%)

Memory

0.6MiB live, 176.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 656×	`accelerator-lowering-fma.f32`
9 656×	`accelerator-lowering-fma.f64`
5 206×	`-lowering-.f32`
5 206×	`-lowering-.f64`
4 250×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	647	6233
1	2021	5969
2	6757	5921
0	8124	5452

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ (- (pow (+ y z) 2) 1) (+ 2 (* 2 (+ y z))))
(- (+ (* x (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (* 2 (/ z (+ 2 (* 2 (+ y z)))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2))))) (/ (pow (+ y z) 2) (+ 2 (* 2 (+ y z))))) (/ 1 (+ 2 (* 2 (+ y z)))))
(- (+ (* x (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (+ (* 2 (/ z (+ 2 (* 2 (+ y z))))) (* x (- (/ 1 (+ 2 (* 2 (+ y z)))) (* 2 (/ (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (* 2 (/ z (+ 2 (* 2 (+ y z)))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2)))) (+ 2 (* 2 (+ y z))))))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2))))) (/ (pow (+ y z) 2) (+ 2 (* 2 (+ y z))))) (/ 1 (+ 2 (* 2 (+ y z)))))
(- (+ (* x (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (+ (* 2 (/ z (+ 2 (* 2 (+ y z))))) (* x (- (+ (* -2 (/ (* x (- (/ 1 (+ 2 (* 2 (+ y z)))) (* 2 (/ (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (* 2 (/ z (+ 2 (* 2 (+ y z)))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2)))) (+ 2 (* 2 (+ y z))))))) (+ 2 (* 2 (+ y z))))) (/ 1 (+ 2 (* 2 (+ y z))))) (* 2 (/ (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (* 2 (/ z (+ 2 (* 2 (+ y z)))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2)))) (+ 2 (* 2 (+ y z))))))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2))))) (/ (pow (+ y z) 2) (+ 2 (* 2 (+ y z))))) (/ 1 (+ 2 (* 2 (+ y z)))))
(* 1/2 x)
(* x (- (+ 1/2 (* 1/2 (/ (+ (* 2 y) (* 2 z)) x))) (* 1/4 (/ (+ 2 (* 2 (+ y z))) x))))
(* x (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 y) (* 2 z)) x)) (* 1/2 (/ (- (pow (+ y z) 2) 1) (pow x 2))))) (+ (* 1/4 (/ (+ 2 (* 2 (+ y z))) x)) (* 1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (+ (* 2 y) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ y z)))))) (pow x 2))))))
(* x (- (+ 1/2 (+ (* -1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (- (pow (+ y z) 2) 1)) (* 1/2 (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (+ (* 2 y) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ y z))))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* 2 y) (* 2 z)) x)) (* 1/2 (/ (- (pow (+ y z) 2) 1) (pow x 2)))))) (+ (* 1/4 (/ (+ 2 (* 2 (+ y z))) x)) (* 1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (+ (* 2 y) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ y z)))))) (pow x 2))))))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (- (+ y z) (* 1/4 (+ 2 (* 2 (+ y z))))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (+ y (+ z (* -1 (/ (- (* -1/2 (- (pow (+ y z) 2) 1)) (* -1/2 (* (+ 2 (* 2 (+ y z))) (- (+ y z) (* 1/4 (+ 2 (* 2 (+ y z)))))))) x)))) (* 1/4 (+ 2 (* 2 (+ y z))))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (+ y (+ z (* -1 (/ (- (+ (* -1/2 (- (pow (+ y z) 2) 1)) (* -1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* -1/2 (- (pow (+ y z) 2) 1)) (* -1/2 (* (+ 2 (* 2 (+ y z))) (- (+ y z) (* 1/4 (+ 2 (* 2 (+ y z))))))))) x))) (* -1/2 (* (+ 2 (* 2 (+ y z))) (- (+ y z) (* 1/4 (+ 2 (* 2 (+ y z)))))))) x)))) (* 1/4 (+ 2 (* 2 (+ y z))))) x)) 1/2)))
(/ (- (pow (+ x z) 2) 1) (+ 2 (* 2 (+ x z))))
(- (+ (* y (- (+ (* 2 (/ x (+ 2 (* 2 (+ x z))))) (* 2 (/ z (+ 2 (* 2 (+ x z)))))) (* 2 (/ (- (pow (+ x z) 2) 1) (pow (+ 2 (* 2 (+ x z))) 2))))) (/ (pow (+ x z) 2) (+ 2 (* 2 (+ x z))))) (/ 1 (+ 2 (* 2 (+ x z)))))
(- (+ (* y (- (+ (* 2 (/ x (+ 2 (* 2 (+ x z))))) (+ (* 2 (/ z (+ 2 (* 2 (+ x z))))) (* y (- (/ 1 (+ 2 (* 2 (+ x z)))) (* 2 (/ (- (+ (* 2 (/ x (+ 2 (* 2 (+ x z))))) (* 2 (/ z (+ 2 (* 2 (+ x z)))))) (* 2 (/ (- (pow (+ x z) 2) 1) (pow (+ 2 (* 2 (+ x z))) 2)))) (+ 2 (* 2 (+ x z))))))))) (* 2 (/ (- (pow (+ x z) 2) 1) (pow (+ 2 (* 2 (+ x z))) 2))))) (/ (pow (+ x z) 2) (+ 2 (* 2 (+ x z))))) (/ 1 (+ 2 (* 2 (+ x z)))))
(- (+ (* y (- (+ (* 2 (/ x (+ 2 (* 2 (+ x z))))) (+ (* 2 (/ z (+ 2 (* 2 (+ x z))))) (* y (- (+ (* -2 (/ (* y (- (/ 1 (+ 2 (* 2 (+ x z)))) (* 2 (/ (- (+ (* 2 (/ x (+ 2 (* 2 (+ x z))))) (* 2 (/ z (+ 2 (* 2 (+ x z)))))) (* 2 (/ (- (pow (+ x z) 2) 1) (pow (+ 2 (* 2 (+ x z))) 2)))) (+ 2 (* 2 (+ x z))))))) (+ 2 (* 2 (+ x z))))) (/ 1 (+ 2 (* 2 (+ x z))))) (* 2 (/ (- (+ (* 2 (/ x (+ 2 (* 2 (+ x z))))) (* 2 (/ z (+ 2 (* 2 (+ x z)))))) (* 2 (/ (- (pow (+ x z) 2) 1) (pow (+ 2 (* 2 (+ x z))) 2)))) (+ 2 (* 2 (+ x z))))))))) (* 2 (/ (- (pow (+ x z) 2) 1) (pow (+ 2 (* 2 (+ x z))) 2))))) (/ (pow (+ x z) 2) (+ 2 (* 2 (+ x z))))) (/ 1 (+ 2 (* 2 (+ x z)))))
(* 1/2 y)
(* y (- (+ 1/2 (* 1/2 (/ (+ (* 2 x) (* 2 z)) y))) (* 1/4 (/ (+ 2 (* 2 (+ x z))) y))))
(* y (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 x) (* 2 z)) y)) (* 1/2 (/ (- (pow (+ x z) 2) 1) (pow y 2))))) (+ (* 1/4 (/ (+ 2 (* 2 (+ x z))) y)) (* 1/2 (/ (* (+ 2 (* 2 (+ x z))) (- (* 1/2 (+ (* 2 x) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ x z)))))) (pow y 2))))))
(* y (- (+ 1/2 (+ (* -1/2 (/ (* (+ 2 (* 2 (+ x z))) (- (* 1/2 (- (pow (+ x z) 2) 1)) (* 1/2 (* (+ 2 (* 2 (+ x z))) (- (* 1/2 (+ (* 2 x) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ x z))))))))) (pow y 3))) (+ (* 1/2 (/ (+ (* 2 x) (* 2 z)) y)) (* 1/2 (/ (- (pow (+ x z) 2) 1) (pow y 2)))))) (+ (* 1/4 (/ (+ 2 (* 2 (+ x z))) y)) (* 1/2 (/ (* (+ 2 (* 2 (+ x z))) (- (* 1/2 (+ (* 2 x) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ x z)))))) (pow y 2))))))
(* 1/2 y)
(* -1 (* y (- (* -1 (/ (- (+ x z) (* 1/4 (+ 2 (* 2 (+ x z))))) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (- (+ x (+ z (* -1 (/ (- (* -1/2 (- (pow (+ x z) 2) 1)) (* -1/2 (* (+ 2 (* 2 (+ x z))) (- (+ x z) (* 1/4 (+ 2 (* 2 (+ x z)))))))) y)))) (* 1/4 (+ 2 (* 2 (+ x z))))) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (- (+ x (+ z (* -1 (/ (- (+ (* -1/2 (- (pow (+ x z) 2) 1)) (* -1/2 (/ (* (+ 2 (* 2 (+ x z))) (- (* -1/2 (- (pow (+ x z) 2) 1)) (* -1/2 (* (+ 2 (* 2 (+ x z))) (- (+ x z) (* 1/4 (+ 2 (* 2 (+ x z))))))))) y))) (* -1/2 (* (+ 2 (* 2 (+ x z))) (- (+ x z) (* 1/4 (+ 2 (* 2 (+ x z)))))))) y)))) (* 1/4 (+ 2 (* 2 (+ x z))))) y)) 1/2)))
(/ (- (pow (+ x y) 2) 1) (+ 2 (* 2 (+ x y))))
(- (+ (* z (- (+ (* 2 (/ x (+ 2 (* 2 (+ x y))))) (* 2 (/ y (+ 2 (* 2 (+ x y)))))) (* 2 (/ (- (pow (+ x y) 2) 1) (pow (+ 2 (* 2 (+ x y))) 2))))) (/ (pow (+ x y) 2) (+ 2 (* 2 (+ x y))))) (/ 1 (+ 2 (* 2 (+ x y)))))
(- (+ (* z (- (+ (* 2 (/ x (+ 2 (* 2 (+ x y))))) (+ (* 2 (/ y (+ 2 (* 2 (+ x y))))) (* z (- (/ 1 (+ 2 (* 2 (+ x y)))) (* 2 (/ (- (+ (* 2 (/ x (+ 2 (* 2 (+ x y))))) (* 2 (/ y (+ 2 (* 2 (+ x y)))))) (* 2 (/ (- (pow (+ x y) 2) 1) (pow (+ 2 (* 2 (+ x y))) 2)))) (+ 2 (* 2 (+ x y))))))))) (* 2 (/ (- (pow (+ x y) 2) 1) (pow (+ 2 (* 2 (+ x y))) 2))))) (/ (pow (+ x y) 2) (+ 2 (* 2 (+ x y))))) (/ 1 (+ 2 (* 2 (+ x y)))))
(- (+ (* z (- (+ (* 2 (/ x (+ 2 (* 2 (+ x y))))) (+ (* 2 (/ y (+ 2 (* 2 (+ x y))))) (* z (- (+ (* -2 (/ (* z (- (/ 1 (+ 2 (* 2 (+ x y)))) (* 2 (/ (- (+ (* 2 (/ x (+ 2 (* 2 (+ x y))))) (* 2 (/ y (+ 2 (* 2 (+ x y)))))) (* 2 (/ (- (pow (+ x y) 2) 1) (pow (+ 2 (* 2 (+ x y))) 2)))) (+ 2 (* 2 (+ x y))))))) (+ 2 (* 2 (+ x y))))) (/ 1 (+ 2 (* 2 (+ x y))))) (* 2 (/ (- (+ (* 2 (/ x (+ 2 (* 2 (+ x y))))) (* 2 (/ y (+ 2 (* 2 (+ x y)))))) (* 2 (/ (- (pow (+ x y) 2) 1) (pow (+ 2 (* 2 (+ x y))) 2)))) (+ 2 (* 2 (+ x y))))))))) (* 2 (/ (- (pow (+ x y) 2) 1) (pow (+ 2 (* 2 (+ x y))) 2))))) (/ (pow (+ x y) 2) (+ 2 (* 2 (+ x y))))) (/ 1 (+ 2 (* 2 (+ x y)))))
(* 1/2 z)
(* z (- (+ 1/2 (* 1/2 (/ (+ (* 2 x) (* 2 y)) z))) (* 1/4 (/ (+ 2 (* 2 (+ x y))) z))))
(* z (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 x) (* 2 y)) z)) (* 1/2 (/ (- (pow (+ x y) 2) 1) (pow z 2))))) (+ (* 1/4 (/ (+ 2 (* 2 (+ x y))) z)) (* 1/2 (/ (* (+ 2 (* 2 (+ x y))) (- (* 1/2 (+ (* 2 x) (* 2 y))) (* 1/4 (+ 2 (* 2 (+ x y)))))) (pow z 2))))))
(* z (- (+ 1/2 (+ (* -1/2 (/ (* (+ 2 (* 2 (+ x y))) (- (* 1/2 (- (pow (+ x y) 2) 1)) (* 1/2 (* (+ 2 (* 2 (+ x y))) (- (* 1/2 (+ (* 2 x) (* 2 y))) (* 1/4 (+ 2 (* 2 (+ x y))))))))) (pow z 3))) (+ (* 1/2 (/ (+ (* 2 x) (* 2 y)) z)) (* 1/2 (/ (- (pow (+ x y) 2) 1) (pow z 2)))))) (+ (* 1/4 (/ (+ 2 (* 2 (+ x y))) z)) (* 1/2 (/ (* (+ 2 (* 2 (+ x y))) (- (* 1/2 (+ (* 2 x) (* 2 y))) (* 1/4 (+ 2 (* 2 (+ x y)))))) (pow z 2))))))
(* 1/2 z)
(* -1 (* z (- (* -1 (/ (- (+ x y) (* 1/4 (+ 2 (* 2 (+ x y))))) z)) 1/2)))
(* -1 (* z (- (* -1 (/ (- (+ x (+ y (* -1 (/ (- (* -1/2 (- (pow (+ x y) 2) 1)) (* -1/2 (* (+ 2 (* 2 (+ x y))) (- (+ x y) (* 1/4 (+ 2 (* 2 (+ x y)))))))) z)))) (* 1/4 (+ 2 (* 2 (+ x y))))) z)) 1/2)))
(* -1 (* z (- (* -1 (/ (- (+ x (+ y (* -1 (/ (- (+ (* -1/2 (- (pow (+ x y) 2) 1)) (* -1/2 (/ (* (+ 2 (* 2 (+ x y))) (- (* -1/2 (- (pow (+ x y) 2) 1)) (* -1/2 (* (+ 2 (* 2 (+ x y))) (- (+ x y) (* 1/4 (+ 2 (* 2 (+ x y))))))))) z))) (* -1/2 (* (+ 2 (* 2 (+ x y))) (- (+ x y) (* 1/4 (+ 2 (* 2 (+ x y)))))))) z)))) (* 1/4 (+ 2 (* 2 (+ x y))))) z)) 1/2)))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (- (+ y z) (* -1 x)) 2) 1) (+ 2 (* 2 (- (+ y z) (* -1 x))))))
(acos (/ (- (pow (- (+ y z) (* -1 x)) 2) 1) (+ 2 (* 2 (- (+ y z) (* -1 x))))))
(acos (/ (- (pow (- (+ y z) (* -1 x)) 2) 1) (+ 2 (* 2 (- (+ y z) (* -1 x))))))
(acos (/ (- (pow (- (+ y z) (* -1 x)) 2) 1) (+ 2 (* 2 (- (+ y z) (* -1 x))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (- (+ x z) (* -1 y)) 2) 1) (+ 2 (* 2 (- (+ x z) (* -1 y))))))
(acos (/ (- (pow (- (+ x z) (* -1 y)) 2) 1) (+ 2 (* 2 (- (+ x z) (* -1 y))))))
(acos (/ (- (pow (- (+ x z) (* -1 y)) 2) 1) (+ 2 (* 2 (- (+ x z) (* -1 y))))))
(acos (/ (- (pow (- (+ x z) (* -1 y)) 2) 1) (+ 2 (* 2 (- (+ x z) (* -1 y))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (+ x (+ y z)) 2) 1) (+ 2 (* 2 (+ x (+ y z))))))
(acos (/ (- (pow (- (+ x y) (* -1 z)) 2) 1) (+ 2 (* 2 (- (+ x y) (* -1 z))))))
(acos (/ (- (pow (- (+ x y) (* -1 z)) 2) 1) (+ 2 (* 2 (- (+ x y) (* -1 z))))))
(acos (/ (- (pow (- (+ x y) (* -1 z)) 2) 1) (+ 2 (* 2 (- (+ x y) (* -1 z))))))
(acos (/ (- (pow (- (+ x y) (* -1 z)) 2) 1) (+ 2 (* 2 (- (+ x y) (* -1 z))))))
(- (pow (+ y z) 2) 1)
(- (+ (* x (+ (* 2 y) (* 2 z))) (pow (+ y z) 2)) 1)
(- (+ (* x (+ x (+ (* 2 y) (* 2 z)))) (pow (+ y z) 2)) 1)
(- (+ (* x (+ x (+ (* 2 y) (* 2 z)))) (pow (+ y z) 2)) 1)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (* 2 (/ z x)))))
(* (pow x 2) (- (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ z x)) (/ (pow (+ y z) 2) (pow x 2))))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ z x)) (/ (pow (+ y z) 2) (pow x 2))))) (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (+ y z) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (+ y z)) (* -1 (/ (- (pow (+ y z) 2) 1) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (+ y z)) (* -1 (/ (- (pow (+ y z) 2) 1) x))) x))))
(- (pow (+ x z) 2) 1)
(- (+ (* y (+ (* 2 x) (* 2 z))) (pow (+ x z) 2)) 1)
(- (+ (* y (+ y (+ (* 2 x) (* 2 z)))) (pow (+ x z) 2)) 1)
(- (+ (* y (+ y (+ (* 2 x) (* 2 z)))) (pow (+ x z) 2)) 1)
(pow y 2)
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (* 2 (/ z y)))))
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ z y)) (/ (pow (+ x z) 2) (pow y 2))))) (/ 1 (pow y 2))))
(* (pow y 2) (- (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ z y)) (/ (pow (+ x z) 2) (pow y 2))))) (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ (+ x z) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 (+ x z)) (* -1 (/ (- (pow (+ x z) 2) 1) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 (+ x z)) (* -1 (/ (- (pow (+ x z) 2) 1) y))) y))))
(- (pow (+ x y) 2) 1)
(- (+ (* z (+ (* 2 x) (* 2 y))) (pow (+ x y) 2)) 1)
(- (+ (* z (+ z (+ (* 2 x) (* 2 y)))) (pow (+ x y) 2)) 1)
(- (+ (* z (+ z (+ (* 2 x) (* 2 y)))) (pow (+ x y) 2)) 1)
(pow z 2)
(* (pow z 2) (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* (pow z 2) (- (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ (pow (+ x y) 2) (pow z 2))))) (/ 1 (pow z 2))))
(* (pow z 2) (- (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ (pow (+ x y) 2) (pow z 2))))) (/ 1 (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (* 2 (/ (+ x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (+ x y)) (* -1 (/ (- (pow (+ x y) 2) 1) z))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (+ x y)) (* -1 (/ (- (pow (+ x y) 2) 1) z))) z))))
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(acos (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(acos (- (* 1/2 (+ y z)) 1/2))
(acos (- (* 1/2 (+ y z)) 1/2))
(acos (- (* 1/2 (+ y z)) 1/2))
(acos (- (* 1/2 (+ y z)) 1/2))
(acos (- (* 1/2 (+ y z)) 1/2))
(acos (- (* 1/2 (+ y z)) 1/2))
(acos (- (* 1/2 (+ y z)) 1/2))
(acos (- (* 1/2 (+ y z)) 1/2))
(acos (- (* 1/2 (- z (* -1 y))) 1/2))
(acos (- (* 1/2 (- z (* -1 y))) 1/2))
(acos (- (* 1/2 (- z (* -1 y))) 1/2))
(acos (- (* 1/2 (- z (* -1 y))) 1/2))
(acos (- (* 1/2 (+ y z)) 1/2))
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Outputs
(/ (- (pow (+ y z) 2) 1) (+ 2 (* 2 (+ y z))))
(/.f64 (fma.f64 (+.f64 y z) (+.f64 y z) #s(literal -1 binary64)) (fma.f64 (+.f64 y z) #s(literal 2 binary64) #s(literal 2 binary64)))
(- (+ (* x (- (+ (* 2 (/ y (+ 2 (* 2 (+ y z))))) (* 2 (/ z (+ 2 (* 2 (+ y z)))))) (* 2 (/ (- (pow (+ y z) 2) 1) (pow (+ 2 (* 2 (+ y z))) 2))))) (/ (pow (+ y z) 2) (+ 2 (* 2 (+ y z))))) (/ 1 (+ 2 (* 2 (+ y z)))))
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(* 1/2 x)
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(* x (- (+ 1/2 (+ (* -1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (- (pow (+ y z) 2) 1)) (* 1/2 (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (+ (* 2 y) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ y z))))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* 2 y) (* 2 z)) x)) (* 1/2 (/ (- (pow (+ y z) 2) 1) (pow x 2)))))) (+ (* 1/4 (/ (+ 2 (* 2 (+ y z))) x)) (* 1/2 (/ (* (+ 2 (* 2 (+ y z))) (- (* 1/2 (+ (* 2 y) (* 2 z))) (* 1/4 (+ 2 (* 2 (+ y z)))))) (pow x 2))))))
(.f64 x (-.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) z)) (/.f64 (-.f64 (.f64 (fma.f64 (+.f64 y z) (+.f64 y z) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 y (+.f64 z (fma.f64 #s(literal -1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))) (+.f64 (+.f64 y z) #s(literal 1 binary64)))) (.f64 x (.f64 x x))) (+.f64 (/.f64 (+.f64 y z) x) (fma.f64 (fma.f64 (+.f64 y z) (+.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (+.f64 (+.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 y (+.f64 z (fma.f64 #s(literal -1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 (+.f64 y z) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))))
(* 1/2 x)
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(* -1 (* x (- (* -1 (/ (- (+ y z) (* 1/4 (+ 2 (* 2 (+ y z))))) x)) 1/2)))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (+.f64 z (fma.f64 #s(literal -1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))) x)) (neg.f64 x))
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(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x z) (+ 1 (* -1 y)))))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x (+ y z)) 1)))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))
(acos (* -1/2 (- (+ x y) (+ 1 (* -1 z)))))
(acos.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (+.f64 z x)) #s(literal 1/2 binary64)))

eval166.0ms (3.4%)

Memory: 4.2MiB live, 124.2MiB allocated
Compiler: Compiled 36 582 to 3 281 computations (91% saved)

prune120.0ms (2.5%)

Memory

-3.3MiB live, 108.3MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 388	6	1 394
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	1 392	9	1 401

Accuracy

100.0%

Counts

1 401 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	96.0%	(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64))))
	97.4%	(acos.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
	97.9%	(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
✓	99.7%	(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))
✓	97.6%	(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))
	99.8%	(acos.f64 (/.f64 (fma.f64 (+.f64 z x) (+.f64 z x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 z x) #s(literal 2 binary64))))
	97.4%	(acos.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) z))))
✓	20.4%	(acos.f64 (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 280 to 151 computations (46.1% saved)

regimes26.0ms (0.5%)

Memory

-5.0MiB live, 18.5MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))
(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(acos.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) z))))
(acos.f64 (/.f64 (fma.f64 (+.f64 z x) (+.f64 z x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 z x) #s(literal 2 binary64))))
(acos.f64 (/.f64 (fma.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (+.f64 x y)) #s(literal 2 binary64)))
(acos.f64 (/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (fma.f64 (+.f64 x (+.f64 y z)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(acos.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))

Outputs
(acos.f64 (/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))

Calls

8 calls:

3.0ms	x
3.0ms	(+.f64 x y)
3.0ms	y
3.0ms	z
3.0ms	(+.f64 (+.f64 x y) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
100.0%	1	`(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))`
100.0%	1	`(+.f64 (+.f64 x y) z)`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes23.0ms (0.5%)

Memory

-5.1MiB live, 16.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))
(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(acos.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) z))))
(acos.f64 (/.f64 (fma.f64 (+.f64 z x) (+.f64 z x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 z x) #s(literal 2 binary64))))
(acos.f64 (/.f64 (fma.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (+.f64 x y)) #s(literal 2 binary64)))

Outputs
(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))

Calls

8 calls:

3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	z
3.0ms	(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
100.0%	1	`(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))`
100.0%	1	`(+.f64 (+.f64 x y) z)`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes17.0ms (0.3%)

Memory

-1.3MiB live, 14.4MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))
(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (+.f64 (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))

Outputs
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))

Calls

8 calls:

2.0ms	x
2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	(+.f64 (+.f64 x y) z)
2.0ms	z

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
99.7%	1	`(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.7%	1	`(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))`
99.7%	1	`(+.f64 (+.f64 x y) z)`
99.7%	1	`(+.f64 x y)`

Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes13.0ms (0.3%)

Memory

4.2MiB live, 12.6MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))

Outputs
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64)))

Calls

8 calls:

2.0ms	x
2.0ms	(+.f64 x y)
2.0ms	(+.f64 (+.f64 x y) z)
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
99.9%	2	`x`
97.9%	1	`y`
99.9%	2	`z`
99.9%	2	`(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
99.9%	2	`(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))`
99.9%	2	`(+.f64 (+.f64 x y) z)`
99.9%	2	`(+.f64 x y)`

Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes10.0ms (0.2%)

Memory

-5.6MiB live, 10.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))

Outputs
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64)))

Calls

7 calls:

2.0ms	(+.f64 (+.f64 x y) z)
2.0ms	z
1.0ms	(+.f64 x y)
1.0ms	x
1.0ms	(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.6%	2	`z`
99.7%	2	`x`
99.7%	2	`(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
99.7%	2	`(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.7%	2	`(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))`
99.7%	2	`(+.f64 (+.f64 x y) z)`
99.7%	2	`(+.f64 x y)`

Compiler

Compiled 57 to 41 computations (28.1% saved)

regimes10.0ms (0.2%)

Memory

3.4MiB live, 11.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))

Outputs
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))

Calls

8 calls:

1.0ms	x
1.0ms	(+.f64 x y)
1.0ms	z
1.0ms	(+.f64 (+.f64 x y) z)
1.0ms	y

Results

Accuracy	Segments	Branch
97.9%	1	`y`
97.9%	1	`z`
97.9%	1	`x`
97.9%	1	`(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
97.9%	1	`(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
97.9%	1	`(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))`
97.9%	1	`(+.f64 (+.f64 x y) z)`
97.9%	1	`(+.f64 x y)`

Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes8.0ms (0.2%)

Memory

2.6MiB live, 10.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))

Outputs
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))

Calls

8 calls:

1.0ms	(+.f64 (+.f64 x y) z)
1.0ms	(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms	y
1.0ms	(+.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
20.4%	1	`x`
20.4%	1	`y`
20.4%	1	`z`
20.4%	1	`(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))`
20.4%	1	`(/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64))`
20.4%	1	`(-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64))`
20.4%	1	`(+.f64 (+.f64 x y) z)`
20.4%	1	`(+.f64 x y)`

Compiler

Compiled 61 to 44 computations (27.9% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.397792515709824e-15	-1.546199576688426e-16

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.397792515709824e-15	-1.546199576688426e-16

Compiler

Compiled 16 to 16 computations (0% saved)

simplify10.0ms (0.2%)

Memory

-3.4MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`mul-1-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	82
1	45	82
2	48	82
3	52	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acos.f64 (/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) (acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) (acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (acos.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))

Outputs
(acos.f64 (/.f64 (fma.f64 (+.f64 x (+.f64 y z)) (+.f64 x (+.f64 y z)) #s(literal -1 binary64)) (fma.f64 (+.f64 x (+.f64 y z)) #s(literal 2 binary64) #s(literal 2 binary64))))
(acos.f64 (/.f64 (-.f64 (+.f64 (+.f64 x y) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(acos.f64 (/.f64 (+.f64 (+.f64 z (+.f64 x y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 z x) #s(literal -1/2 binary64)))
(acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x z) #s(literal -1/2 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) (acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (acos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 y z) #s(literal -1/2 binary64))))
(if (<=.f64 (+.f64 x y) #s(literal -2535301200456459/633825300114114700748351602688 binary64)) (acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (acos.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(acos.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(acos.f64 (*.f64 #s(literal 1/2 binary64) x))
(acos.f64 (*.f64 x #s(literal 1/2 binary64)))

soundness710.0ms (14.5%)

Memory

-1.6MiB live, 14.1MiB allocated

Rules

9 656×	`accelerator-lowering-fma.f32`
9 656×	`accelerator-lowering-fma.f64`
7 898×	`accelerator-lowering-fma.f32`
7 898×	`accelerator-lowering-fma.f64`
6 612×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1062
1	371	1062
2	1057	1062
3	3567	1062
0	8444	996
0	647	6233
1	2021	5969
2	6757	5921
0	8124	5452
0	10	34
1	73	34
2	633	34
0	8453	32

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 209 to 126 computations (39.7% saved)

preprocess49.0ms (1%)

Memory: 3.1MiB live, 42.2MiB allocated
Remove: (sort x y z)
Compiler: Compiled 396 to 174 computations (56.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

acos(((x + y + z) - 1)/2)

analyze143.0ms (2.9%)

sample1.1s (22.1%)

preprocess412.0ms (8.4%)

explain112.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify130.0ms (2.7%)

localize32.0ms (0.7%)

series7.0ms (0.1%)

rewrite332.0ms (6.8%)

simplify235.0ms (4.8%)

eval74.0ms (1.5%)

prune63.0ms (1.3%)

simplify260.0ms (5.3%)

localize97.0ms (2%)

series27.0ms (0.5%)

rewrite334.0ms (6.8%)

simplify392.0ms (8%)

eval166.0ms (3.4%)

prune120.0ms (2.5%)

regimes26.0ms (0.5%)

regimes23.0ms (0.5%)

regimes17.0ms (0.3%)

regimes13.0ms (0.3%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

soundness710.0ms (14.5%)

preprocess49.0ms (1%)

end0.0ms (0%)

Profiling