Metrics for (1/sin(x))-(1/tan(x)) + (1-cos(x)) + ((exp(x)-2)+exp(-x))

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	24.2%	75.8%	0%	0%	0%	0
0%	0%	24.2%	75.8%	0%	0%	0%	1
50%	12.1%	12.1%	75.8%	0%	0%	0%	2
75%	18.2%	6.1%	75.8%	0%	0%	0%	3
87.5%	21.2%	3%	75.8%	0%	0%	0%	4
93.8%	22.7%	1.5%	75.8%	0%	0%	0%	5
96.9%	23.5%	0.8%	75.8%	0%	0%	0%	6
98.4%	23.9%	0.4%	75.8%	0%	0%	0%	7
99.2%	24.1%	0.2%	75.8%	0%	0%	0%	8
99.6%	24.2%	0.1%	75.8%	0%	0%	0%	9
99.8%	24.2%	0%	75.8%	0%	0%	0%	10
99.9%	24.2%	0%	75.8%	0%	0%	0%	11
100%	24.2%	0%	75.8%	0%	0%	0%	12

Compiler

Compiled 31 to 23 computations (25.8% saved)

sample16.0s (79.5%)

Memory

343.5MiB live, 4 111.5MiB allocated

Samples

14.7s	8 254×	1	valid
11.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 14.1s

ival-tan: 4.4s (31.3% of total)

ival-sin: 3.0s (21.6% of total)

ival-cos: 2.3s (16.3% of total)

ival-exp: 1.9s (13.6% of total)

adjust: 908.0ms (6.4% of total)

ival-sub: 526.0ms (3.7% of total)

ival-div: 498.0ms (3.5% of total)

ival-add: 330.0ms (2.3% of total)

ival-<=: 66.0ms (0.5% of total)

ival-neg: 47.0ms (0.3% of total)

exact: 29.0ms (0.2% of total)

ival-and: 16.0ms (0.1% of total)

ival-assert: 3.0ms (0% of total)

Bogosity

explain1.3s (6.6%)

Memory

-84.0MiB live, 481.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
116	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
116	-	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))`
0	-	-	`(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))`
0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	-	-	`(cos.f64 x)`
0	-	-	`(sin.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`
0	-	-	`(/.f64 #s(literal 1 binary64) (sin.f64 x))`
0	-	-	`(tan.f64 x)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	cancellation	255	0
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	19	0
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	19	0
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	nan-rescue	1	0
↳	`(/.f64 #s(literal 1 binary64) (sin.f64 x))`	overflow	1
↳	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	237
3	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

872.0ms

512×

valid

Compiler

Compiled 199 to 55 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 832.0ms

ival-tan: 297.0ms (35.7% of total)

ival-exp: 197.0ms (23.7% of total)

ival-sin: 149.0ms (17.9% of total)

ival-cos: 107.0ms (12.9% of total)

adjust: 27.0ms (3.2% of total)

ival-div: 21.0ms (2.5% of total)

ival-sub: 15.0ms (1.8% of total)

ival-add: 13.0ms (1.6% of total)

ival-neg: 3.0ms (0.4% of total)

ival-assert: 1.0ms (0.1% of total)

ival-true: 1.0ms (0.1% of total)

exact: 1.0ms (0.1% of total)

preprocess212.0ms (1.1%)

Memory

42.9MiB live, 42.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	60	49
2	214	46
3	1079	42
4	4951	42
5	6656	42
6	7557	42
0	17	23
0	31	23
1	57	23
2	150	23
3	675	21
4	3307	21
5	5314	21
6	6575	21
7	7528	21
0	8029	19

Stop Event

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

Calls

Call 1

Inputs

(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))

Outputs

(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))

(-.f64 (+.f64 (+.f64 (-.f64 (expm1.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 23 to 17 computations (26.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.7%	(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))

Status

Accuracy

Program

▶

5.7%

(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify198.0ms (1%)

Memory

-38.9MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 x))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
cost-diff	0	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff	4	(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	86
0	31	86
1	57	86
2	150	86
3	675	84
4	3307	84
5	5314	84
6	6575	84
7	7528	84
0	8029	82

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (+.f64 (-.f64 (expm1.f64 x) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
#s(literal 1 binary64)
(sin.f64 x)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize352.0ms (1.8%)

Memory

35.5MiB live, 35.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
accuracy	26.776630456970185	(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy	26.7950314996045	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
accuracy	60.34542538257204	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

334.0ms

256×

valid

Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-tan: 113.0ms (35.8% of total)

ival-sin: 71.0ms (22.5% of total)

ival-cos: 52.0ms (16.5% of total)

ival-exp: 40.0ms (12.7% of total)

adjust: 14.0ms (4.4% of total)

ival-div: 10.0ms (3.2% of total)

ival-sub: 7.0ms (2.2% of total)

ival-add: 6.0ms (1.9% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

6 → 30

Calls

Call 1

Inputs
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Outputs
(* 1/2 x)
(* x (+ 1/2 (* 3/2 x)))
(* x (+ 1/2 (* x (+ 3/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 3/2 (* x (+ 1/24 (* 1/24 x)))))))
(* x (+ 1/2 (* 1/2 x)))
(* x (+ 1/2 (* x (+ 1/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/2 (* x (+ 1/24 (* -1/24 x)))))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- (+ (exp x) (+ (exp (neg x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(- (+ 1 (/ 1 (sin x))) (+ (cos x) (/ (cos x) (sin x))))
(- (/ 1 (sin x)) (/ (cos x) (sin x)))
(/ 1 (sin x))
(- (+ (exp x) (exp (neg x))) 2)
(- 1 (cos x))
(- (+ (exp x) (+ (exp (* -1 x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (+ (- (exp x) 2) (exp (neg x))) (- 1 (cos x)))
2.0ms	x	@	-inf	((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (+ (- (exp x) 2) (exp (neg x))) (- 1 (cos x)))
2.0ms	x	@	0	((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (+ (- (exp x) 2) (exp (neg x))) (- 1 (cos x)))

Time

Variable

Point

Expression

2.0ms

inf

((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (+ (- (exp x) 2) (exp (neg x))) (- 1 (cos x)))

2.0ms

-inf

((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (+ (- (exp x) 2) (exp (neg x))) (- 1 (cos x)))

2.0ms

((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (- (/ 1 (sin x)) (/ 1 (tan x))) (/ 1 (sin x)) (+ (- (exp x) 2) (exp (neg x))) (- 1 (cos x)))

simplify176.0ms (0.9%)

Memory

-38.3MiB live, 38.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	365
1	421	365
2	1071	359
3	2736	359
4	5162	359
5	6410	356
6	7778	356
0	8058	313

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 3/2 x)))
(* x (+ 1/2 (* x (+ 3/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 3/2 (* x (+ 1/24 (* 1/24 x)))))))
(* x (+ 1/2 (* 1/2 x)))
(* x (+ 1/2 (* x (+ 1/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/2 (* x (+ 1/24 (* -1/24 x)))))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- (+ (exp x) (+ (exp (neg x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(- (+ 1 (/ 1 (sin x))) (+ (cos x) (/ (cos x) (sin x))))
(- (/ 1 (sin x)) (/ (cos x) (sin x)))
(/ 1 (sin x))
(- (+ (exp x) (exp (neg x))) 2)
(- 1 (cos x))
(- (+ (exp x) (+ (exp (* -1 x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(- (+ (exp x) (exp (* -1 x))) 2)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 3/2 x)))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 3/2 (* 1/24 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 3/2 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 3/2 (* x (+ 1/24 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/24 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 1/2 (* 1/24 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 1/2 (* x (+ 1/24 (* -1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(- (+ (exp x) (+ (exp (neg x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(-.f64 (expm1.f64 x) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (cos.f64 x)) (exp.f64 (neg.f64 x))))
(- (+ 1 (/ 1 (sin x))) (+ (cos x) (/ (cos x) (sin x))))
(-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (cos.f64 x)))
(- (/ 1 (sin x)) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- (+ (exp x) (+ (exp (* -1 x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(-.f64 (expm1.f64 x) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (cos.f64 x)) (exp.f64 (neg.f64 x))))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))

rewrite494.0ms (2.5%)

Memory

-132.1MiB live, 67.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
0	31	62
1	151	62
2	1767	62
0	8519	60

Stop Event

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

Counts

6 → 368

Calls

Call 1

Inputs
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (+.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x))) (pow.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))))) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))))) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) (exp.f64 x)) (+.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) (exp.f64 x)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) (exp.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (+.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (+.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (+.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (+.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))) (fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (+.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (+.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))) (*.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (+.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (+.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) #s(literal 2 binary64)) (fma.f64 (-.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (-.f64 (cos.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (-.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x))) (-.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x))) (*.f64 (exp.f64 x) (-.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (expm1.f64 (neg.f64 (log.f64 (tan.f64 x))))) (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (fma.f64 (-.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (-.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 (tan.f64 x)))) (cos.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))))
(-.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))

eval46.0ms (0.2%)

Memory: 35.0MiB live, 35.0MiB allocated
Compiler: Compiled 19 257 to 1 601 computations (91.7% saved)

prune8.0ms (0%)

Memory

14.2MiB live, 14.2MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	394	2	396
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	395	2	397

Accuracy

100.0%

Counts

397 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))
▶	99.5%	#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

Status

Accuracy

Program

▶

100.0%

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))

▶

99.5%

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 57 to 42 computations (26.3% saved)

simplify181.0ms (0.9%)

Memory

-74.2MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	75
0	28	75
1	58	75
2	157	75
3	687	71
4	3313	71
5	5325	71
6	6600	71
7	7553	71
8	7918	71
0	8029	67

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64))
#s(literal 3/2 binary64)
x
#s(literal 1/2 binary64)

Outputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64))
#s(literal 3/2 binary64)
x
#s(literal 1/2 binary64)

localize354.0ms (1.8%)

Memory

34.2MiB live, 34.2MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.34973483408084055	#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

Samples

338.0ms

256×

valid

Compiler

Compiled 68 to 25 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

ival-tan: 113.0ms (35% of total)

ival-sin: 70.0ms (21.7% of total)

ival-cos: 52.0ms (16.1% of total)

ival-exp: 40.0ms (12.4% of total)

adjust: 15.0ms (4.7% of total)

ival-div: 10.0ms (3.1% of total)

ival-add: 8.0ms (2.5% of total)

ival-sub: 7.0ms (2.2% of total)

ival-mult: 4.0ms (1.2% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series5.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

5 → 12

Calls

Call 1

Inputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64))

Outputs
(* 1/2 x)
(* x (+ 1/2 (* 3/2 x)))
(* x (+ 1/2 (* x (+ 3/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 3/2 (* x (+ 1/24 (* 1/24 x)))))))
1/2
(+ 1/2 (* 3/2 x))
(- (+ (exp x) (+ (exp (neg x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 (* 1/2 (/ 1 x))))
(* 3/2 x)
(* x (+ 3/2 (* 1/2 (/ 1 x))))
(- (+ (exp x) (+ (exp (* -1 x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* 1/2 x) (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* (+ (* 3/2 x) 1/2) x) (+ (* 3/2 x) 1/2))
2.0ms	x	@	inf	((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* 1/2 x) (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* (+ (* 3/2 x) 1/2) x) (+ (* 3/2 x) 1/2))
1.0ms	x	@	0	((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* 1/2 x) (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* (+ (* 3/2 x) 1/2) x) (+ (* 3/2 x) 1/2))

Time

Variable

Point

Expression

2.0ms

-inf

((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* 1/2 x) (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* (+ (* 3/2 x) 1/2) x) (+ (* 3/2 x) 1/2))

2.0ms

inf

((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* 1/2 x) (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* (+ (* 3/2 x) 1/2) x) (+ (* 3/2 x) 1/2))

1.0ms

((+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* 1/2 x) (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (* (+ (* 3/2 x) 1/2) x) (+ (* 3/2 x) 1/2))

simplify147.0ms (0.7%)

Memory

-37.8MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	106
1	137	106
2	293	106
3	706	106
4	1887	106
5	4392	106
0	8101	93

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 3/2 x)))
(* x (+ 1/2 (* x (+ 3/2 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 3/2 (* x (+ 1/24 (* 1/24 x)))))))
1/2
(+ 1/2 (* 3/2 x))
(- (+ (exp x) (+ (exp (neg x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(* 3/2 (pow x 2))
(* (pow x 2) (+ 3/2 (* 1/2 (/ 1 x))))
(* 3/2 x)
(* x (+ 3/2 (* 1/2 (/ 1 x))))
(- (+ (exp x) (+ (exp (* -1 x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 3/2 x)))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 3/2 (* 1/24 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 3/2 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 3/2 (* x (+ 1/24 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/24 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64))
(- (+ (exp x) (+ (exp (neg x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(fma.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (+.f64 (expm1.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))
(* 3/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/2 binary64))
(* (pow x 2) (+ 3/2 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64))
(- (+ (exp x) (+ (exp (* -1 x)) (/ 1 (sin x)))) (+ 1 (+ (cos x) (/ (cos x) (sin x)))))
(fma.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) (+.f64 (expm1.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))))

rewrite156.0ms (0.8%)

Memory

47.6MiB live, 47.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	70
0	28	70
1	166	70
2	1908	70
0	8421	68

Stop Event

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

Counts

5 → 53

Calls

Call 1

Inputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64))

Outputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) x) (.f64 (.f64 #s(literal 3/2 binary64) x) x) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 3/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 3/2 binary64) x)) (.f64 x (.f64 #s(literal 3/2 binary64) x)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (.f64 #s(literal 3/2 binary64) x)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) x) (.f64 (.f64 #s(literal 3/2 binary64) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 3/2 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 3/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 x (.f64 #s(literal 3/2 binary64) x)) (.f64 x (.f64 #s(literal 3/2 binary64) x))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 #s(literal 3/2 binary64) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 3/4 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 9/4 binary64) (.f64 x x) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 3/4 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 3/4 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 9/4 binary64) (.f64 x x) #s(literal -1/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 3/4 binary64)))))
(fma.f64 (.f64 #s(literal 3/2 binary64) x) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 3/2 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal 3/2 binary64) x)))
(fma.f64 x (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 3/2 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x (.f64 #s(literal 3/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 3/2 binary64) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 #s(literal 3/2 binary64) x)))
(.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 3/4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 3/4 binary64)))) (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 3/4 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 3/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 3/4 binary64))))))
(/.f64 (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 3/4 binary64)))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 3/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 3/4 binary64)))) (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 9/4 binary64) (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 3/4 binary64)))) (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 3/2 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/2 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/2 binary64) x #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))

eval7.0ms (0%)

Memory: 6.0MiB live, 6.0MiB allocated
Compiler: Compiled 2 448 to 269 computations (89% saved)

prune4.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	60	3	63

Accuracy

100.0%

Counts

63 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

100.0%

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (fma.f64 (*.f64 #s(literal 3/2 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)))

✓

100.0%

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))

✓

99.5%

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 201 to 108 computations (46.3% saved)

regimes3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (fma.f64 (.f64 #s(literal 3/2 binary64) x) x (.f64 #s(literal 1/2 binary64) x)))
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))

Outputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (fma.f64 (.f64 #s(literal 3/2 binary64) x) x (.f64 #s(literal 1/2 binary64) x)))

Calls

2 calls:

1.0ms

(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes3.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))

Outputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))

Calls

2 calls:

1.0ms

(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))

1.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes23.0ms (0.1%)

Memory

-77.0MiB live, 2.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

Outputs
#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

Calls

2 calls:

21.0ms

1.0ms

(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 24 to 18 computations (25% saved)

simplify64.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	89
1	52	89
2	147	89
3	685	89
4	3533	89
5	5655	89
6	7638	89

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (fma.f64 (*.f64 #s(literal 3/2 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)))

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

Outputs

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (fma.f64 (*.f64 #s(literal 3/2 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)))

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 1/2 binary64)) x))

#s(approx (+ (+ (- (/ 1 (sin x)) (/ 1 (tan x))) (- 1 (cos x))) (+ (- (exp x) 2) (exp (neg x)))) (*.f64 #s(literal 1/2 binary64) x))

soundness322.0ms (1.6%)

Memory

3.9MiB live, 3.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	70
0	28	70
1	166	70
2	1908	70
0	8421	68
0	134	365
1	421	365
2	1071	359
3	2736	359
4	5162	359
5	6410	356
6	7778	356
0	8058	313

Stop Event

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

Compiler

Compiled 134 to 62 computations (53.7% saved)

preprocess22.0ms (0.1%)

Memory: 15.2MiB live, 15.2MiB allocated
Compiler: Compiled 224 to 88 computations (60.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0%)

sample16.0s (79.5%)

explain1.3s (6.6%)

preprocess212.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify198.0ms (1%)

localize352.0ms (1.8%)

series6.0ms (0%)

simplify176.0ms (0.9%)

rewrite494.0ms (2.5%)

eval46.0ms (0.2%)

prune8.0ms (0%)

simplify181.0ms (0.9%)

localize354.0ms (1.8%)

series5.0ms (0%)

simplify147.0ms (0.7%)

rewrite156.0ms (0.8%)

eval7.0ms (0%)

prune4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes23.0ms (0.1%)

simplify64.0ms (0.3%)

soundness322.0ms (1.6%)

preprocess22.0ms (0.1%)

end0.0ms (0%)

Profiling