Metrics for erf(x / t) / x

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.3s (63.3%)

Memory

61.3MiB live, 678.8MiB allocated

Samples

678.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 464.0ms

ival-<=: 188.0ms (40.5% of total)

ival-div: 141.0ms (30.4% of total)

ival-erf: 90.0ms (19.4% of total)

ival-and: 23.0ms (5% of total)

exact: 18.0ms (3.9% of total)

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

Bogosity

explain123.0ms (6.1%)

Memory

-106.4MiB live, 82.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 x t)`
-	-	`(/.f64 (erf.f64 (/.f64 x t)) x)`
-	-	`t`
-	-	`(erf.f64 (/.f64 x t))`
-	-	`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

28.0ms

512×

valid

Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 8.0ms (59.7% of total)

ival-erf: 5.0ms (37.3% of total)

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

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

preprocess29.0ms (1.4%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	37	36
2	73	32
3	183	32
4	419	32
5	651	32
6	729	32
7	852	32
8	911	32
9	922	32
0	5	6
0	8	6
0	8	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (erf.f64 (/.f64 x t)) x)

Outputs
(/.f64 (erf.f64 (/.f64 x t)) x)

Symmetry

(abs x)

(negabs t)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (erf.f64 (/.f64 x t)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify2.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 x t)
cost-diff	0	(erf.f64 (/.f64 x t))
cost-diff	0	(/.f64 (erf.f64 (/.f64 x t)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
0	8	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (erf.f64 (/.f64 x t)) x)
(erf.f64 (/.f64 x t))
(/.f64 x t)
x
t

Outputs
(/.f64 (erf.f64 (/.f64 x t)) x)
(erf.f64 (/.f64 x t))
(/.f64 x t)
x
t

localize17.0ms (0.9%)

Memory

5.9MiB live, 5.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x t)
accuracy	0.08984375	(/.f64 (erf.f64 (/.f64 x t)) x)
accuracy	0.12890625	(erf.f64 (/.f64 x t))

Samples

13.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 4.0ms (64.2% of total)

ival-erf: 2.0ms (32.1% of total)

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

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

series6.0ms (0.3%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 (erf.f64 (/.f64 x t)) x)
(erf.f64 (/.f64 x t))
(/.f64 x t)

Outputs
(/ (erf (/ x t)) x)
(erf (/ x t))
(/ x t)

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (erf (/ x t)) x) (erf (/ x t)) (/ x t))
1.0ms	t	@	inf	((/ (erf (/ x t)) x) (erf (/ x t)) (/ x t))
1.0ms	x	@	inf	((/ (erf (/ x t)) x) (erf (/ x t)) (/ x t))
1.0ms	x	@	0	((/ (erf (/ x t)) x) (erf (/ x t)) (/ x t))
1.0ms	t	@	-inf	((/ (erf (/ x t)) x) (erf (/ x t)) (/ x t))

simplify2.0ms (0.1%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	5	13

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 3

Calls

Call 1

Inputs
(/ (erf (/ x t)) x)
(erf (/ x t))
(/ x t)

Outputs
(/ (erf (/ x t)) x)
(/.f64 (erf.f64 (/.f64 x t)) x)
(erf (/ x t))
(erf.f64 (/.f64 x t))
(/ x t)
(/.f64 x t)

rewrite76.0ms (3.7%)

Memory

22.1MiB live, 22.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	22	13
2	84	13
3	392	13
4	2164	13
0	9324	13

Stop Event

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

Counts

3 → 227

Calls

Call 1

Inputs
(/.f64 (erf.f64 (/.f64 x t)) x)
(erf.f64 (/.f64 x t))
(/.f64 x t)

Outputs
(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -2 binary64))) x)
(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) x) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) x) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64))) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64))) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -2 binary64)))
(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (erf.f64 (/.f64 x t)) x))) (sqrt.f64 (/.f64 (erf.f64 (/.f64 x t)) x)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64))) (/.f64 x (erf.f64 (/.f64 x t))))
(*.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(.f64 (.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (erf.f64 (/.f64 x t)) x)))
(.f64 (neg.f64 (.f64 x (erf.f64 (/.f64 x t)))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (erf.f64 (/.f64 x t)) x)) (neg.f64 (sqrt.f64 (/.f64 (erf.f64 (/.f64 x t)) x))))
(*.f64 (sqrt.f64 (/.f64 (erf.f64 (/.f64 x t)) x)) (sqrt.f64 (/.f64 (erf.f64 (/.f64 x t)) x)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (erf.f64 (/.f64 x t))))
(.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (erf.f64 (/.f64 x t)) x)))
(.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (erf.f64 (/.f64 x t)))))
(.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal -1 binary64))
(*.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (erf.f64 (/.f64 x t)) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))
(*.f64 #s(literal 1 binary64) (/.f64 (erf.f64 (/.f64 x t)) x))
(*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (erf.f64 (/.f64 x t)) x))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (erf.f64 (/.f64 x t)))))
(pow.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (erf.f64 (/.f64 x t)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (erf.f64 (/.f64 x t))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))) (erf.f64 (/.f64 x t)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)))) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) x)) (erf.f64 (/.f64 x t)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) x)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)))) (/.f64 (erf.f64 (/.f64 x t)) x))
(/.f64 (neg.f64 (.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (erf.f64 (/.f64 x t)) x)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (erf.f64 (/.f64 x t))))) (.f64 x x))
(/.f64 (*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) x) (erf.f64 (/.f64 x t)))
(/.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) x) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64))) (erf.f64 (/.f64 x t)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64))) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64))) (/.f64 (erf.f64 (/.f64 x t)) x))
(/.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (erf.f64 (/.f64 x t)) x))
(/.f64 (neg.f64 (.f64 x (erf.f64 (/.f64 x t)))) (.f64 x x))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (*.f64 (erf.f64 (/.f64 x t)) x))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (neg.f64 (*.f64 x (erf.f64 (/.f64 x t)))))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (*.f64 x (erf.f64 (/.f64 x t))))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (neg.f64 (*.f64 (erf.f64 (/.f64 x t)) x)))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) (neg.f64 (*.f64 x (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) (neg.f64 (*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) x)))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) (*.f64 x (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) (*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) x))
(/.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x (erf.f64 (/.f64 x t))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (erf.f64 (/.f64 x t)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (erf.f64 (/.f64 x t)) x) (.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (erf.f64 (/.f64 x t))) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64))) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (erf.f64 (/.f64 x t)) (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (erf.f64 (/.f64 x t)) x) (neg.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (erf.f64 (/.f64 x t)) x) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) x) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (erf.f64 (/.f64 x t)) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (erf.f64 (/.f64 x t))))
(/.f64 (erf.f64 (/.f64 x t)) x)
(/.f64 x (neg.f64 (/.f64 x (/.f64 (erf.f64 (/.f64 x t)) x))))
(/.f64 x (/.f64 x (/.f64 (erf.f64 (/.f64 x t)) x)))
(neg.f64 (/.f64 (erf.f64 (/.f64 x t)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (erf.f64 (/.f64 x t)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))) (/.f64 (erf.f64 (/.f64 x t)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (erf.f64 (/.f64 x t)) x))) (/.f64 (erf.f64 (/.f64 x t)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (erf.f64 (/.f64 x t)))) (/.f64 (erf.f64 (/.f64 x t)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64))) (/.f64 (erf.f64 (/.f64 x t)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 2 binary64)) (/.f64 (erf.f64 (/.f64 x t)) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (erf.f64 (/.f64 x t))) (.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (erf.f64 (/.f64 x t)) x))
(exp.f64 (fma.f64 (log.f64 (/.f64 x (erf.f64 (/.f64 x t)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 x (erf.f64 (/.f64 x t)))) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (erf.f64 (/.f64 x t)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (erf.f64 (/.f64 x t)) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (erf.f64 (/.f64 x t)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (erf.f64 (/.f64 x t)) x)))
(+.f64 #s(literal 0 binary64) (/.f64 (erf.f64 (/.f64 x t)) x))
(*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 1/2 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (erf.f64 (/.f64 x t)))
(*.f64 #s(literal 1 binary64) (erf.f64 (/.f64 x t)))
(*.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64))
(*.f64 (erf.f64 (/.f64 x t)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (erf.f64 (/.f64 x t)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)))) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 4 binary64)))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (-.f64 (erf.f64 (/.f64 x t)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (erf.f64 (/.f64 x t)))
(/.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)))
(/.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64))
(/.f64 (erf.f64 (/.f64 x t)) #s(literal 1 binary64))
(erf.f64 (/.f64 x t))
(neg.f64 (erf.f64 (/.f64 x t)))
(fma.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 1/2 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 3 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (erf.f64 (/.f64 x t)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (erf.f64 (/.f64 x t)) #s(literal 0 binary64))
(fma.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (erf.f64 (/.f64 x t)) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (erf.f64 (/.f64 x t)))
(exp.f64 (*.f64 (log.f64 (erf.f64 (/.f64 x t))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (erf.f64 (/.f64 x t))))
(+.f64 #s(literal 0 binary64) (erf.f64 (/.f64 x t)))
(+.f64 (erf.f64 (/.f64 x t)) #s(literal 0 binary64))
(.f64 (.f64 x (pow.f64 t #s(literal -2 binary64))) t)
(.f64 (.f64 x (pow.f64 t #s(literal -3 binary64))) (*.f64 t t))
(.f64 (/.f64 (.f64 x x) t) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) t) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 x (pow.f64 t #s(literal -1/2 binary64))) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x t))) (sqrt.f64 (/.f64 x t)))
(*.f64 (neg.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64))) (/.f64 t x))
(*.f64 (pow.f64 (/.f64 x t) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)) #s(literal 0 binary64))))
(.f64 (.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(.f64 (.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (pow.f64 t #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) t)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) t)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (neg.f64 (.f64 t x)) (pow.f64 t #s(literal -2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) t)))
(.f64 (pow.f64 t #s(literal -1/2 binary64)) (.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (sqrt.f64 (/.f64 x t)) (neg.f64 (sqrt.f64 (/.f64 x t))))
(*.f64 (sqrt.f64 (/.f64 x t)) (sqrt.f64 (/.f64 x t)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 t x)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x t)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) t)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 x x))))
(*.f64 (/.f64 x t) #s(literal -1 binary64))
(*.f64 (/.f64 x t) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x t))
(*.f64 (pow.f64 t #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x t))
(.f64 t (/.f64 #s(literal 1 binary64) (.f64 t (/.f64 t x))))
(*.f64 x (pow.f64 t #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 t x)))
(pow.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x t)) #s(literal 2 binary64))
(pow.f64 (/.f64 x t) #s(literal 1 binary64))
(pow.f64 (/.f64 t x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) t)) x)
(/.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) t)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)))) (/.f64 x t))
(/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))
(/.f64 (neg.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) (.f64 x x))) x)
(/.f64 (neg.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) t))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 x (pow.f64 t #s(literal -2 binary64))) (pow.f64 t #s(literal -1 binary64)))
(/.f64 (*.f64 x (pow.f64 t #s(literal -3 binary64))) (pow.f64 t #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 x x) t) x)
(/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) t) (*.f64 x x))
(/.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) (.f64 x x)) x)
(/.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x x))
(/.f64 (neg.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64))) (/.f64 x t))
(/.f64 (pow.f64 (/.f64 x t) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (/.f64 x t) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (/.f64 x t) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) t)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (.f64 t x)) (.f64 t t))
(/.f64 (.f64 x x) (.f64 x t))
(/.f64 (.f64 x x) (neg.f64 (.f64 x t)))
(/.f64 (.f64 x x) (neg.f64 (.f64 t x)))
(/.f64 (.f64 x x) (.f64 t x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (.f64 (.f64 x x) t)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (.f64 t (.f64 x x))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 t (.f64 x x)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) t))
(/.f64 (/.f64 x t) #s(literal -1 binary64))
(/.f64 (/.f64 x t) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 t x))
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 x x) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x t) (neg.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (/.f64 t x)) t))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t x) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (pow.f64 t #s(literal -1 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 x t) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x t) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) t) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t (.f64 x x)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 t x))
(/.f64 t (neg.f64 (*.f64 t (/.f64 t x))))
(/.f64 t (*.f64 t (/.f64 t x)))
(/.f64 x t)
(neg.f64 (/.f64 x t))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t (/.f64 t x))) (/.f64 x t))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t x)) (/.f64 x t))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 x t))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 t (.f64 x x))) (/.f64 x t))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 t x) (.f64 t t)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 x t) #s(literal 2 binary64)) (/.f64 x t)))
(-.f64 #s(literal 0 binary64) (/.f64 x t))
(exp.f64 (fma.f64 (log.f64 (/.f64 t x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 t x)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 t x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x t))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x t)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 x t)))
(+.f64 #s(literal 0 binary64) (/.f64 x t))

eval27.0ms (1.3%)

Memory: 21.5MiB live, 21.5MiB allocated
Compiler: Compiled 2 878 to 648 computations (77.5% saved)

prune12.0ms (0.6%)

Memory

13.7MiB live, 13.7MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	216	14	230
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	216	15	231

Accuracy

100.0%

Counts

231 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64))) x)
	99.2%	(/.f64 (*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))
	99.5%	(/.f64 (neg.f64 (neg.f64 (.f64 x (erf.f64 (/.f64 x t))))) (.f64 x x))
	99.7%	(/.f64 (erf.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) t))) x)
▶	99.7%	(/.f64 (erf.f64 (/.f64 (.f64 x x) (.f64 x t))) x)
▶	99.7%	(/.f64 (erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))) x)
✓	99.8%	(/.f64 (erf.f64 (/.f64 x t)) x)
▶	99.7%	(/.f64 (erf.f64 (/.f64 t (*.f64 t (/.f64 t x)))) x)
	99.7%	(/.f64 (erf.f64 (/.f64 #s(literal 1 binary64) (/.f64 t x))) x)
	99.7%	(/.f64 (erf.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x t)))) x)
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (erf.f64 (/.f64 x t))))
▶	99.7%	(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))
	99.4%	(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -2 binary64))) x)
▶	99.3%	(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
	99.5%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (erf.f64 (/.f64 x t)) x))))

Compiler

Compiled 312 to 239 computations (23.4% saved)

simplify112.0ms (5.5%)

Memory

-68.8MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x t)
cost-diff	0	(erf.f64 (/.f64 x t))
cost-diff	0	(*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64)))
cost-diff	6	(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
cost-diff	0	(*.f64 t (/.f64 t x))
cost-diff	0	(erf.f64 (/.f64 t (*.f64 t (/.f64 t x))))
cost-diff	0	(/.f64 (erf.f64 (/.f64 t (*.f64 t (/.f64 t x)))) x)
cost-diff	4	(/.f64 t (*.f64 t (/.f64 t x)))
cost-diff	0	(erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t)))
cost-diff	0	(/.f64 (erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))) x)
cost-diff	2	(neg.f64 (neg.f64 (*.f64 t x)))
cost-diff	4	(/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))
cost-diff	0	(*.f64 x x)
cost-diff	0	(erf.f64 (/.f64 (.f64 x x) (.f64 x t)))
cost-diff	0	(/.f64 (erf.f64 (/.f64 (.f64 x x) (.f64 x t))) x)
cost-diff	4	(/.f64 (.f64 x x) (.f64 x t))
cost-diff	0	(/.f64 x t)
cost-diff	0	(erf.f64 (/.f64 x t))
cost-diff	0	(pow.f64 x #s(literal -1 binary64))
cost-diff	2	(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	173
0	52	131
1	89	131
2	196	121
3	536	121
4	2403	121
5	5104	121
6	6474	121
7	7903	121
0	8011	121

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(erf.f64 (/.f64 x t))
(/.f64 x t)
t
(/.f64 (erf.f64 (/.f64 (.f64 x x) (.f64 x t))) x)
(erf.f64 (/.f64 (.f64 x x) (.f64 x t)))
(/.f64 (.f64 x x) (.f64 x t))
(*.f64 x x)
x
(*.f64 x t)
t
(/.f64 (erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))) x)
(erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t)))
(/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))
(neg.f64 (neg.f64 (*.f64 t x)))
(neg.f64 (*.f64 t x))
(*.f64 t x)
t
x
(*.f64 t t)
(/.f64 (erf.f64 (/.f64 t (*.f64 t (/.f64 t x)))) x)
(erf.f64 (/.f64 t (*.f64 t (/.f64 t x))))
(/.f64 t (*.f64 t (/.f64 t x)))
t
(*.f64 t (/.f64 t x))
(/.f64 t x)
x
(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
(*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64)))
(erf.f64 (/.f64 x t))
(/.f64 x t)
x
t
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x x)

Outputs
(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))
(/.f64 (erf.f64 (/.f64 x t)) x)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(erf.f64 (/.f64 x t))
(/.f64 x t)
t
(/.f64 (erf.f64 (/.f64 (.f64 x x) (.f64 x t))) x)
(/.f64 (erf.f64 (/.f64 x t)) x)
(erf.f64 (/.f64 (.f64 x x) (.f64 x t)))
(erf.f64 (/.f64 x t))
(/.f64 (.f64 x x) (.f64 x t))
(/.f64 x t)
(*.f64 x x)
x
(*.f64 x t)
(*.f64 t x)
t
(/.f64 (erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))) x)
(/.f64 (erf.f64 (/.f64 x t)) x)
(erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t)))
(erf.f64 (/.f64 x t))
(/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))
(/.f64 x t)
(neg.f64 (neg.f64 (*.f64 t x)))
(*.f64 t x)
(neg.f64 (*.f64 t x))
(*.f64 (neg.f64 x) t)
(*.f64 t x)
t
x
(*.f64 t t)
(/.f64 (erf.f64 (/.f64 t (*.f64 t (/.f64 t x)))) x)
(/.f64 (erf.f64 (/.f64 x t)) x)
(erf.f64 (/.f64 t (*.f64 t (/.f64 t x))))
(erf.f64 (/.f64 x t))
(/.f64 t (*.f64 t (/.f64 t x)))
(/.f64 x t)
t
(*.f64 t (/.f64 t x))
(*.f64 (/.f64 t x) t)
(/.f64 t x)
x
(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
(/.f64 (erf.f64 (/.f64 x t)) x)
(*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (erf.f64 (/.f64 x t)))
(erf.f64 (/.f64 x t))
(/.f64 x t)
x
t
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x x)

localize79.0ms (3.9%)

Memory

32.9MiB live, 32.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.12890625	(erf.f64 (/.f64 x t))
accuracy	0.15625	(*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64)))
accuracy	0.34603500976844204	(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
accuracy	0.08984375	(/.f64 (erf.f64 (/.f64 t (*.f64 t (/.f64 t x)))) x)
accuracy	0.12890625	(erf.f64 (/.f64 t (*.f64 t (/.f64 t x))))
accuracy	0.2265625	(*.f64 t (/.f64 t x))
accuracy	0.3125	(/.f64 t (*.f64 t (/.f64 t x)))
accuracy	0.0	(neg.f64 (neg.f64 (*.f64 t x)))
accuracy	0.08984375	(/.f64 (erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))) x)
accuracy	0.12890625	(erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t)))
accuracy	0.36623002930532605	(/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))
accuracy	0.0	(*.f64 x t)
accuracy	0.08984375	(/.f64 (erf.f64 (/.f64 (.f64 x x) (.f64 x t))) x)
accuracy	0.12890625	(erf.f64 (/.f64 (.f64 x x) (.f64 x t)))
accuracy	0.359375	(/.f64 (.f64 x x) (.f64 x t))
accuracy	0.0	(pow.f64 x #s(literal -1 binary64))
accuracy	0.0	(/.f64 x t)
accuracy	0.12890625	(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))
accuracy	0.12890625	(erf.f64 (/.f64 x t))

Samples

59.0ms

256×

valid

Compiler

Compiled 175 to 30 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 13.0ms (31.5% of total)

ival-mult: 12.0ms (29.1% of total)

ival-erf: 7.0ms (17% of total)

ival-pow: 6.0ms (14.6% of total)

ival-neg: 2.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.7%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

19 → 8

Calls

Call 1

Inputs
(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))
(pow.f64 x #s(literal -1 binary64))
(erf.f64 (/.f64 x t))
(/.f64 x t)
(/.f64 (.f64 x x) (.f64 x t))
(/.f64 (erf.f64 (/.f64 (.f64 x x) (.f64 x t))) x)
(erf.f64 (/.f64 (.f64 x x) (.f64 x t)))
(*.f64 x x)
(/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))
(neg.f64 (neg.f64 (*.f64 t x)))
(/.f64 (erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))) x)
(erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t)))
(/.f64 t (*.f64 t (/.f64 t x)))
(/.f64 (erf.f64 (/.f64 t (*.f64 t (/.f64 t x)))) x)
(erf.f64 (/.f64 t (*.f64 t (/.f64 t x))))
(*.f64 t (/.f64 t x))
(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
(*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 x t)

Outputs
(/ (erf (/ x t)) x)
(/ 1 x)
(erf (/ x t))
(/ x t)
(pow x 2)
(* t x)
(/ (pow t 2) x)
(/ (erf (/ x t)) (pow x 3))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	t	@	0	((* (pow x -1) (erf (/ x t))) (pow x -1) (erf (/ x t)) (/ x t) (/ (* x x) (* x t)) (/ (erf (/ (* x x) (* x t))) x) (erf (/ (* x x) (* x t))) (* x x) (/ (neg (neg (* t x))) (* t t)) (neg (neg (* t x))) (/ (erf (/ (neg (neg (* t x))) (* t t))) x) (erf (/ (neg (neg (* t x))) (* t t))) (/ t (* t (/ t x))) (/ (erf (/ t (* t (/ t x)))) x) (erf (/ t (* t (/ t x)))) (* t (/ t x)) (* (* (erf (/ x t)) (pow x -3)) (* x x)) (* (erf (/ x t)) (pow x -3)) (* x t))
3.0ms	x	@	-inf	((* (pow x -1) (erf (/ x t))) (pow x -1) (erf (/ x t)) (/ x t) (/ (* x x) (* x t)) (/ (erf (/ (* x x) (* x t))) x) (erf (/ (* x x) (* x t))) (* x x) (/ (neg (neg (* t x))) (* t t)) (neg (neg (* t x))) (/ (erf (/ (neg (neg (* t x))) (* t t))) x) (erf (/ (neg (neg (* t x))) (* t t))) (/ t (* t (/ t x))) (/ (erf (/ t (* t (/ t x)))) x) (erf (/ t (* t (/ t x)))) (* t (/ t x)) (* (* (erf (/ x t)) (pow x -3)) (* x x)) (* (erf (/ x t)) (pow x -3)) (* x t))
2.0ms	x	@	0	((* (pow x -1) (erf (/ x t))) (pow x -1) (erf (/ x t)) (/ x t) (/ (* x x) (* x t)) (/ (erf (/ (* x x) (* x t))) x) (erf (/ (* x x) (* x t))) (* x x) (/ (neg (neg (* t x))) (* t t)) (neg (neg (* t x))) (/ (erf (/ (neg (neg (* t x))) (* t t))) x) (erf (/ (neg (neg (* t x))) (* t t))) (/ t (* t (/ t x))) (/ (erf (/ t (* t (/ t x)))) x) (erf (/ t (* t (/ t x)))) (* t (/ t x)) (* (* (erf (/ x t)) (pow x -3)) (* x x)) (* (erf (/ x t)) (pow x -3)) (* x t))
2.0ms	t	@	-inf	((* (pow x -1) (erf (/ x t))) (pow x -1) (erf (/ x t)) (/ x t) (/ (* x x) (* x t)) (/ (erf (/ (* x x) (* x t))) x) (erf (/ (* x x) (* x t))) (* x x) (/ (neg (neg (* t x))) (* t t)) (neg (neg (* t x))) (/ (erf (/ (neg (neg (* t x))) (* t t))) x) (erf (/ (neg (neg (* t x))) (* t t))) (/ t (* t (/ t x))) (/ (erf (/ t (* t (/ t x)))) x) (erf (/ t (* t (/ t x)))) (* t (/ t x)) (* (* (erf (/ x t)) (pow x -3)) (* x x)) (* (erf (/ x t)) (pow x -3)) (* x t))
2.0ms	x	@	inf	((* (pow x -1) (erf (/ x t))) (pow x -1) (erf (/ x t)) (/ x t) (/ (* x x) (* x t)) (/ (erf (/ (* x x) (* x t))) x) (erf (/ (* x x) (* x t))) (* x x) (/ (neg (neg (* t x))) (* t t)) (neg (neg (* t x))) (/ (erf (/ (neg (neg (* t x))) (* t t))) x) (erf (/ (neg (neg (* t x))) (* t t))) (/ t (* t (/ t x))) (/ (erf (/ t (* t (/ t x)))) x) (erf (/ t (* t (/ t x)))) (* t (/ t x)) (* (* (erf (/ x t)) (pow x -3)) (* x x)) (* (erf (/ x t)) (pow x -3)) (* x t))

simplify3.0ms (0.2%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	22	35
2	28	35
3	30	35
0	30	35

Stop Event

1×	iter limit
1×	saturated

Counts

8 → 8

Calls

Call 1

Inputs
(/ (erf (/ x t)) x)
(/ 1 x)
(erf (/ x t))
(/ x t)
(pow x 2)
(* t x)
(/ (pow t 2) x)
(/ (erf (/ x t)) (pow x 3))

Outputs
(/ (erf (/ x t)) x)
(/.f64 (erf.f64 (/.f64 x t)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(erf (/ x t))
(erf.f64 (/.f64 x t))
(/ x t)
(/.f64 x t)
(pow x 2)
(*.f64 x x)
(* t x)
(*.f64 t x)
(/ (pow t 2) x)
(/.f64 (*.f64 t t) x)
(/ (erf (/ x t)) (pow x 3))
(/.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal 3 binary64)))

rewrite93.0ms (4.6%)

Memory

24.8MiB live, 24.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	135
0	52	93
1	153	83
2	651	83
0	4344	83

Stop Event

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

Counts

19 → 1 244

Calls

Call 1

Inputs
(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))
(pow.f64 x #s(literal -1 binary64))
(erf.f64 (/.f64 x t))
(/.f64 x t)
(/.f64 (.f64 x x) (.f64 x t))
(/.f64 (erf.f64 (/.f64 (.f64 x x) (.f64 x t))) x)
(erf.f64 (/.f64 (.f64 x x) (.f64 x t)))
(*.f64 x x)
(/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))
(neg.f64 (neg.f64 (*.f64 t x)))
(/.f64 (erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))) x)
(erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t)))
(/.f64 t (*.f64 t (/.f64 t x)))
(/.f64 (erf.f64 (/.f64 t (*.f64 t (/.f64 t x)))) x)
(erf.f64 (/.f64 t (*.f64 t (/.f64 t x))))
(*.f64 t (/.f64 t x))
(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
(*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 x t)

Outputs
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (erf.f64 (/.f64 x t))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (erf.f64 (/.f64 x t)) (.f64 x x)) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (erf.f64 (/.f64 x t)))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (erf.f64 (/.f64 x t)) (.f64 x x))) (pow.f64 x #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (erf.f64 (/.f64 x t)))) x)
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (erf.f64 (/.f64 x t)))) (.f64 x x))
(.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (erf.f64 (/.f64 x t)))) (pow.f64 x #s(literal -3/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (erf.f64 (/.f64 x t))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 (erf.f64 (/.f64 x t)) (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (erf.f64 (/.f64 (neg.f64 x) t))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x (erf.f64 (/.f64 x t))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (erf.f64 (/.f64 x t))) #s(literal -1/2 binary64)))
(.f64 (.f64 (erf.f64 (/.f64 x t)) x) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (erf.f64 (/.f64 x t))))
(.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (erf.f64 (/.f64 x t))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (erf.f64 (/.f64 x t))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (erf.f64 (/.f64 x t)) (*.f64 x x)) (pow.f64 x #s(literal -3 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (erf.f64 (/.f64 x t)))))
(.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (erf.f64 (/.f64 x t)) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (erf.f64 (/.f64 (neg.f64 x) t)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (erf.f64 (/.f64 x t))) x)
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (erf.f64 (/.f64 x t))))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (erf.f64 (/.f64 x t))) (.f64 x x)))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 (erf.f64 (/.f64 x t)) (.f64 x x))))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (erf.f64 (/.f64 x t))))
(*.f64 (erf.f64 (/.f64 (neg.f64 x) t)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (erf.f64 (/.f64 x t)) x))
(.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) (erf.f64 (/.f64 x t))) (*.f64 x x))
(.f64 (pow.f64 x #s(literal -3 binary64)) (.f64 (erf.f64 (/.f64 x t)) (*.f64 x x)))
(*.f64 (/.f64 (erf.f64 (/.f64 x t)) x) #s(literal 1 binary64))
(*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal -3 binary64)) (erf.f64 (/.f64 x t))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))
(*.f64 #s(literal -1 binary64) (/.f64 (erf.f64 (/.f64 x t)) (neg.f64 x)))
(.f64 x (.f64 (pow.f64 x #s(literal -2 binary64)) (erf.f64 (/.f64 x t))))
(pow.f64 (/.f64 x (erf.f64 (/.f64 x t))) #s(literal -1 binary64))
(/.f64 (/.f64 (erf.f64 (/.f64 (neg.f64 x) t)) #s(literal -1 binary64)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (erf.f64 (/.f64 (neg.f64 x) t))) (neg.f64 x))
(/.f64 (*.f64 (erf.f64 (/.f64 (neg.f64 x) t)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (erf.f64 (/.f64 (neg.f64 x) t)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (erf.f64 (/.f64 x t))))
(/.f64 (erf.f64 (/.f64 x t)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (erf.f64 (/.f64 x t))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (erf.f64 (/.f64 x t)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (erf.f64 (/.f64 x t)) (neg.f64 x))))
(neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 (neg.f64 x) t))))
(neg.f64 (/.f64 (erf.f64 (/.f64 x t)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (erf.f64 (/.f64 x t)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (erf.f64 (/.f64 x t)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (erf.f64 (/.f64 x t)))) #s(literal -1 binary64)))
(.f64 (/.f64 t (pow.f64 (.f64 t x) #s(literal 3 binary64))) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))
(.f64 (/.f64 t (neg.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64)))) (*.f64 (neg.f64 t) x))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) x)
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) t) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) t))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 x #s(literal -3/4 binary64)) (.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal -3/2 binary64)) (.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) x) t))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -3 binary64)) (.f64 x x))
(.f64 (.f64 (/.f64 t x) t) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (/.f64 t x) (pow.f64 t #s(literal -1 binary64)))
(.f64 (.f64 t t) (/.f64 (pow.f64 (*.f64 t x) #s(literal -1 binary64)) t))
(.f64 (.f64 t x) (/.f64 (pow.f64 x #s(literal -2 binary64)) t))
(.f64 (.f64 x x) (pow.f64 x #s(literal -3 binary64)))
(.f64 t (pow.f64 (.f64 t x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(.f64 x (/.f64 (.f64 t (pow.f64 x #s(literal -2 binary64))) t))
(*.f64 x (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 t) x) (neg.f64 t))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 (neg.f64 t) x) t) (.f64 (neg.f64 t) t))
(/.f64 (neg.f64 t) (*.f64 (neg.f64 t) x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 t) t) (.f64 t (*.f64 (neg.f64 t) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (.f64 (/.f64 t x) t) (.f64 t t))
(/.f64 (/.f64 t x) t)
(/.f64 (.f64 t t) (.f64 t (*.f64 t x)))
(/.f64 (.f64 t x) (.f64 t (*.f64 x x)))
(/.f64 (.f64 (neg.f64 t) x) (.f64 t (*.f64 (neg.f64 x) x)))
(/.f64 t (*.f64 t x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal -3 binary64))))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(*.f64 #s(literal 1 binary64) (erf.f64 (/.f64 x t)))
(*.f64 (erf.f64 (/.f64 x t)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (erf.f64 (/.f64 (neg.f64 x) t)))
(erf.f64 (/.f64 x t))
(neg.f64 (*.f64 #s(literal 1 binary64) (erf.f64 (/.f64 (neg.f64 x) t))))
(neg.f64 (*.f64 (erf.f64 (/.f64 (neg.f64 x) t)) #s(literal 1 binary64)))
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eval83.0ms (4.1%)

Memory: -15.2MiB live, 62.1MiB allocated
Compiler: Compiled 10 452 to 2 035 computations (80.5% saved)

prune15.0ms (0.7%)

Memory

-51.4MiB live, 28.5MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	646	6	652
Fresh	5	4	9
Picked	2	3	5
Done	0	1	1
Total	653	14	667

Accuracy

100.0%

Counts

667 → 14

Alt Table

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Status	Accuracy	Program
	99.5%	(/.f64 (neg.f64 (neg.f64 (.f64 x (erf.f64 (/.f64 x t))))) (.f64 x x))
✓	99.7%	(/.f64 (erf.f64 (/.f64 (.f64 x x) (.f64 x t))) x)
	99.7%	(/.f64 (erf.f64 (/.f64 (.f64 x t) (.f64 t t))) x)
✓	99.8%	(/.f64 (erf.f64 (/.f64 x t)) x)
✓	99.7%	(/.f64 (erf.f64 (/.f64 t (*.f64 t (/.f64 t x)))) x)
	99.7%	(/.f64 (erf.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x t)))) x)
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (erf.f64 (/.f64 x t))))
	99.7%	(.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 x))))
	99.3%	(.f64 (/.f64 (.f64 t t) (.f64 t (.f64 t x))) (erf.f64 (/.f64 x t)))
	99.5%	(.f64 (/.f64 x (.f64 x x)) (erf.f64 (/.f64 x t)))
	99.4%	(.f64 (/.f64 t (.f64 t x)) (erf.f64 (/.f64 x t)))
	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) (erf.f64 (/.f64 x t)))
✓	99.3%	(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
	99.5%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (erf.f64 (/.f64 x t)) x))))

Compiler

Compiled 367 to 187 computations (49% saved)

regimes14.0ms (0.7%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total -0.8b remaining (-571.8%)

Threshold costs -0.8b (-571.8%)

Counts

21 → 1

Calls

Call 1

Inputs
(/.f64 (erf.f64 (/.f64 x t)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (erf.f64 (/.f64 x t)))
(.f64 (/.f64 t (.f64 t x)) (erf.f64 (/.f64 x t)))
(.f64 (/.f64 x (.f64 x x)) (erf.f64 (/.f64 x t)))
(/.f64 (erf.f64 (/.f64 (.f64 x t) (.f64 t t))) x)
(/.f64 (erf.f64 (/.f64 (.f64 x x) (.f64 x t))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (erf.f64 (/.f64 x t))))
(/.f64 (erf.f64 (/.f64 #s(literal 1 binary64) (/.f64 t x))) x)
(/.f64 (erf.f64 (/.f64 (neg.f64 (neg.f64 (.f64 t x))) (.f64 t t))) x)
(/.f64 (neg.f64 (neg.f64 (.f64 x (erf.f64 (/.f64 x t))))) (.f64 x x))
(/.f64 (erf.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x t)))) x)
(/.f64 (erf.f64 (/.f64 t (*.f64 t (/.f64 t x)))) x)
(.f64 (/.f64 (.f64 t t) (.f64 t (.f64 t x))) (erf.f64 (/.f64 x t)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (erf.f64 (/.f64 x t)) x))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (/.f64 x t)))
(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -2 binary64))) x)
(.f64 (pow.f64 x #s(literal -1 binary64)) (erf.f64 (.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 x))))
(.f64 (.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -3 binary64))) (*.f64 x x))
(/.f64 (erf.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) t))) x)
(/.f64 (*.f64 (erf.f64 (/.f64 x t)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (erf.f64 (/.f64 x t)) #s(literal 2 binary64)) (pow.f64 (erf.f64 (/.f64 x t)) #s(literal -1 binary64))) x)

Outputs
(/.f64 (erf.f64 (/.f64 x t)) x)

Calls

3 calls:

5.0ms	t
4.0ms	(/.f64 (erf.f64 (/.f64 x t)) x)
4.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`t`
99.8%	1	`(/.f64 (erf.f64 (/.f64 x t)) x)`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify10.0ms (0.5%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (erf.f64 (/.f64 x t)) x)

Outputs
(/.f64 (erf.f64 (/.f64 x t)) x)

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 6 to 5 computations (16.7% saved)

preprocess24.0ms (1.2%)

Memory

13.4MiB live, 13.4MiB allocated

Remove

(negabs t)

(abs x)

Compiler

Compiled 72 to 60 computations (16.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	36
1	37	36
2	73	32
3	183	32
4	419	32
5	651	32
6	729	32
7	852	32
8	911	32
9	922	32
0	5	6
0	8	6
0	8	6

Iter	Nodes	Cost
0	15	36
1	37	36
2	73	32
3	183	32
4	419	32
5	651	32
6	729	32
7	852	32
8	911	32
9	922	32
0	5	6
0	8	6
0	8	6

start0.0ms (0%)

analyze1.0ms (0%)

sample1.3s (63.3%)

explain123.0ms (6.1%)

preprocess29.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize17.0ms (0.9%)

series6.0ms (0.3%)

simplify2.0ms (0.1%)

rewrite76.0ms (3.7%)

eval27.0ms (1.3%)

prune12.0ms (0.6%)

simplify112.0ms (5.5%)

localize79.0ms (3.9%)

series15.0ms (0.7%)

simplify3.0ms (0.2%)

rewrite93.0ms (4.6%)

eval83.0ms (4.1%)

prune15.0ms (0.7%)

regimes14.0ms (0.7%)

simplify10.0ms (0.5%)

soundness0.0ms (0%)

preprocess24.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	36
1	37	36
2	73	32
3	183	32
4	419	32
5	651	32
6	729	32
7	852	32
8	911	32
9	922	32
0	5	6
0	8	6
0	8	6