Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample678.0ms (23.3%)

Memory

48.8MiB live, 1 211.6MiB allocated; 220ms collecting garbage

Samples

414.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult: 113.0ms (46.4% of total)

ival-div: 73.0ms (30% of total)

ival-sub: 38.0ms (15.6% of total)

exact: 8.0ms (3.3% of total)

ival-true: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain70.0ms (2.4%)

Memory

18.8MiB live, 166.4MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
-	-	`(*.f64 x x)`
-	-	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
-	-	`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

24.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (36.9% of total)

ival-div: 3.0ms (27.7% of total)

ival-sub: 2.0ms (18.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess18.0ms (0.6%)

Memory

-6.0MiB live, 39.7MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	86	14
4	129	14
5	140	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	112	7
0	112	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.3%)

Memory

-33.8MiB live, 12.2MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	112	18
0	112	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

localize16.0ms (0.6%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0703125	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (37.3% of total)

ival-mult: 2.0ms (37.3% of total)

ival-sub: 1.0ms (18.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

3 → 8

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
0.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify110.0ms (3.8%)

Memory

0.4MiB live, 98.3MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	38	34
2	87	34
3	298	34
4	1444	34
5	5082	34
6	6874	34
0	8007	30

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))

rewrite139.0ms (4.8%)

Memory

-6.9MiB live, 172.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
2	215	15
3	1894	15
0	8622	15

Stop Event

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

Counts

3 → 194

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))))) (.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))))) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 9 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 9 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)))) (.f64 (/.f64 #s(literal -27 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal -27 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal -27 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))) (.f64 (/.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64))) (.f64 (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 x #s(literal -6 binary64)) x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -216 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -36 binary64))))))))
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(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal -27 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (.f64 x x) #s(literal 3 binary64))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (.f64 x x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (/.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 27 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))) (/.f64 #s(literal 81 binary64) (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 19683 binary64) (.f64 (-.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 3 binary64)))) (/.f64 #s(literal 729 binary64) (.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 729 binary64) (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -81 binary64) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -729 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -19683 binary64) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -3 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -3 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (.f64 x x) #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal -27 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (.f64 x x) (+.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval28.0ms (1%)

Memory: 8.5MiB live, 50.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 7 183 to 760 computations (89.4% saved)

prune6.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	193	7	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	7	201

Accuracy

100.0%

Counts

201 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.0%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
	93.4%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 6 binary64))
▶	88.7%	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
▶	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
▶	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
▶	47.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	53.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 158 to 130 computations (17.7% saved)

simplify11.0ms (0.4%)

Memory

-36.9MiB live, 8.8MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	113
0	35	113
1	52	113
2	97	113
3	190	113
4	269	113
5	290	113
6	293	113
0	293	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 6 binary64)

localize55.0ms (1.9%)

Memory

23.3MiB live, 77.9MiB allocated; 13ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
accuracy	0.0703125	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	16.65263464191083	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0	#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.0703125	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.17578125	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	33.53701178985384	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	29.706908344222473	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
accuracy	0.0546875	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
accuracy	0.33984375	(*.f64 #s(literal 1/6 binary64) x)

Samples

43.0ms

256×

valid

Compiler

Compiled 92 to 21 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 12.0ms (39.6% of total)

const: 4.0ms (13.2% of total)

ival-div: 3.0ms (9.9% of total)

ival-add: 3.0ms (9.9% of total)

ival-sub: 3.0ms (9.9% of total)

ival-pow: 3.0ms (9.9% of total)

ival-sqrt: 2.0ms (6.6% of total)

exact: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

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

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

series5.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

14 → 10

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 x)
(* 1/6 (pow x 2))
(pow x 2)
-3
(- (pow x 2) 3)
(pow x 4)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))
2.0ms	x	@	inf	((/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))

2.0ms

inf

((/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))

1.0ms

((/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (sqrt (pow x 4)) 3) 6) (- (sqrt (pow x 4)) 3) (sqrt (pow x 4)) (pow x 4))

simplify100.0ms (3.4%)

Memory

-8.3MiB live, 79.0MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	40
1	42	40
2	89	40
3	293	40
4	1454	40
5	5082	40
6	6876	40
0	8009	36

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 x)
(* 1/6 (pow x 2))
(pow x 2)
-3
(- (pow x 2) 3)
(pow x 4)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))

rewrite156.0ms (5.4%)

Memory

17.3MiB live, 200.0MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	100
0	35	97
1	108	97
2	529	97
3	5414	97
0	8378	97

Stop Event

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

Counts

14 → 338

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 x (*.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (fma.f64 x (.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/16 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/64 binary64)) (.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal 1/16 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/64 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/10077696 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -1/512 binary64)) (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
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(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))

eval81.0ms (2.8%)

Memory: -8.0MiB live, 134.5MiB allocated; 62ms collecting garbage
Compiler: Compiled 6 732 to 1 176 computations (82.5% saved)

prune6.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	294	6	300

Accuracy

100.0%

Counts

300 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.7%	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
▶	47.4%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
✓	47.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	53.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 72 to 59 computations (18.1% saved)

simplify8.0ms (0.3%)

Memory

-28.5MiB live, 18.3MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
0	17	38
1	29	38
2	55	38
3	86	38
4	115	38
5	130	38
6	133	38
0	133	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
#s(literal 1/6 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
#s(literal 1/6 binary64)

localize42.0ms (1.4%)

Memory

3.7MiB live, 102.5MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.17253876953688402	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
accuracy	0.17578125	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
accuracy	33.53701178985384	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))

Samples

34.0ms

256×

valid

Compiler

Compiled 31 to 14 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 9.0ms (33.7% of total)

ival-mult: 5.0ms (18.7% of total)

ival-sqrt: 5.0ms (18.7% of total)

const: 3.0ms (11.2% of total)

ival-div: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

5 → 11

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(pow x 2)
(sqrt (pow x 3))
(sqrt x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((/ (- (* x x) 3) 6) (* (* (pow x 3/2) (sqrt x)) 1/6) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))

2.0ms

inf

((/ (- (* x x) 3) 6) (* (* (pow x 3/2) (sqrt x)) 1/6) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))

1.0ms

((/ (- (* x x) 3) 6) (* (* (pow x 3/2) (sqrt x)) 1/6) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))

simplify47.0ms (1.6%)

Memory

-24.4MiB live, 66.2MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	58
1	49	47
2	124	45
3	363	45
0	1300	43

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

11 → 11

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(pow x 2)
(sqrt (pow x 3))
(sqrt x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt x)
(sqrt.f64 x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (pow (sqrt -1) 2))
(*.f64 (neg.f64 x) x)
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite124.0ms (4.2%)

Memory

16.2MiB live, 246.3MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
0	17	35
1	57	26
2	276	26
3	2326	26
0	8826	26

Stop Event

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

Counts

5 → 186

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (sqrt.f64 x) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))))
(.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))))
(.f64 (fabs.f64 (.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 13/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 13/4 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 13/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 13/8 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 13/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 13/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (fabs.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 5/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sqrt.f64 x)))
(+.f64 (.f64 (sqrt.f64 x) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (sqrt.f64 x) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 15/16 binary64))) (fabs.f64 (pow.f64 x #s(literal 9/16 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 9/16 binary64))) (fabs.f64 (pow.f64 x #s(literal 15/16 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 9/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 3/4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 3/4 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (pow.f64 x #s(literal 9/16 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 9/16 binary64)) (pow.f64 x #s(literal 15/16 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (fabs.f64 (pow.f64 x #s(literal 9/8 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval38.0ms (1.3%)

Memory: -15.4MiB live, 84.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 4 185 to 843 computations (79.9% saved)

prune6.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	192	9	201

Accuracy

100.0%

Counts

201 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.7%	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
▶	47.4%	#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
▶	41.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64)))
▶	47.4%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
✓	47.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	47.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	53.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 120 to 96 computations (20% saved)

simplify20.0ms (0.7%)

Memory

-13.1MiB live, 33.8MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
cost-diff	0	(pow.f64 x #s(literal 5/8 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))))
cost-diff	0	(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
cost-diff	4	(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	150
0	42	142
1	67	142
2	118	138
3	183	138
4	344	138
5	547	138
6	632	138
7	658	138
8	680	138
9	693	138
0	693	138

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))))
(pow.f64 x #s(literal 5/8 binary64))
x
#s(literal 5/8 binary64)
(sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))
(pow.f64 x #s(literal 11/4 binary64))
#s(literal 11/4 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
#s(literal 1/6 binary64)
(sqrt.f64 x)

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
(*.f64 x x)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(pow.f64 x #s(literal 5/8 binary64))
x
#s(literal 5/8 binary64)
(sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))
(pow.f64 x #s(literal 11/4 binary64))
#s(literal 11/4 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(sqrt.f64 x)

localize134.0ms (4.6%)

Memory

-48.7MiB live, 157.5MiB allocated; 88ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.1328125	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
accuracy	0.359375	(*.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
accuracy	33.53701178985384	#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
accuracy	0.17578125	(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64))
accuracy	0.19921875	(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))))
accuracy	22.249985297949305	(sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))
accuracy	33.53701178985384	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64)))
accuracy	0.15625	(*.f64 (sqrt.f64 x) x)
accuracy	0.17253876953688402	(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
accuracy	0.17578125	(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
accuracy	33.53701178985384	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
accuracy	0.1171875	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.33984375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	33.53701178985384	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Samples

118.0ms

256×

valid

Compiler

Compiled 116 to 26 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-sqrt: 43.0ms (41.2% of total)

ival-pow: 34.0ms (32.6% of total)

ival-mult: 20.0ms (19.2% of total)

const: 4.0ms (3.8% of total)

ival-div: 2.0ms (1.9% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series147.0ms (5%)

Memory

26.5MiB live, 257.6MiB allocated; 36ms collecting garbage

Counts

17 → 22

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (sqrt.f64 x) x)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))))
(pow.f64 x #s(literal 5/8 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))
(sqrt.f64 x)

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
(sqrt (pow x 3))
(pow (* 1 (pow x 5)) 1/8)
(* 1/6 (sqrt x))
(pow (* 1 (pow x 11)) 1/8)
(sqrt x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* 1/6 (* (pow -1 1/4) (pow x 2)))
(* (pow -1 1/4) (pow x 2))
(exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 x))))))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1/6 (* (sqrt x) (pow (sqrt -1) 2)))
(exp (* 1/8 (+ (log -1) (* -11 (log (/ -1 x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

80.0ms

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (* (* (sqrt x) x) (sqrt x)) (/ (- (* x x) 3) 6) (* (* (* (sqrt x) x) (sqrt x)) 1/6) (* (sqrt x) x) (/ (- (* x x) 3) 6) (* (* (pow x 5/8) (sqrt (pow x 11/4))) 1/6) (* (pow x 5/8) (sqrt (pow x 11/4))) (pow x 5/8) (/ (- (* x x) 3) 6) (* (pow x 3/2) (* 1/6 (sqrt x))) (pow x 3/2) (* 1/6 (sqrt x)) (sqrt (pow x 11/4)) (sqrt x))

34.0ms

-inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (* (* (sqrt x) x) (sqrt x)) (/ (- (* x x) 3) 6) (* (* (* (sqrt x) x) (sqrt x)) 1/6) (* (sqrt x) x) (/ (- (* x x) 3) 6) (* (* (pow x 5/8) (sqrt (pow x 11/4))) 1/6) (* (pow x 5/8) (sqrt (pow x 11/4))) (pow x 5/8) (/ (- (* x x) 3) 6) (* (pow x 3/2) (* 1/6 (sqrt x))) (pow x 3/2) (* 1/6 (sqrt x)) (sqrt (pow x 11/4)) (sqrt x))

32.0ms

inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (* (* (sqrt x) x) (sqrt x)) (/ (- (* x x) 3) 6) (* (* (* (sqrt x) x) (sqrt x)) 1/6) (* (sqrt x) x) (/ (- (* x x) 3) 6) (* (* (pow x 5/8) (sqrt (pow x 11/4))) 1/6) (* (pow x 5/8) (sqrt (pow x 11/4))) (pow x 5/8) (/ (- (* x x) 3) 6) (* (pow x 3/2) (* 1/6 (sqrt x))) (pow x 3/2) (* 1/6 (sqrt x)) (sqrt (pow x 11/4)) (sqrt x))

simplify106.0ms (3.6%)

Memory

-9.5MiB live, 224.4MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	123
1	137	114
2	357	108
3	981	108
4	2562	106
0	8363	104

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
(sqrt (pow x 3))
(pow (* 1 (pow x 5)) 1/8)
(* 1/6 (sqrt x))
(pow (* 1 (pow x 11)) 1/8)
(sqrt x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* 1/6 (* (pow -1 1/4) (pow x 2)))
(* (pow -1 1/4) (pow x 2))
(exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 x))))))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1/6 (* (sqrt x) (pow (sqrt -1) 2)))
(exp (* 1/8 (+ (log -1) (* -11 (log (/ -1 x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(pow x 2)
(*.f64 x x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(* 1/6 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))
(pow (* 1 (pow x 11)) 1/8)
(pow.f64 (pow.f64 x #s(literal 11 binary64)) #s(literal 1/8 binary64))
(sqrt x)
(sqrt.f64 x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* (pow -1 1/4) (pow x 2)))
(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x))
(* (pow -1 1/4) (pow x 2))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) x) x)
(exp (* 1/8 (+ (log -1) (* -5 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -5 binary64))) #s(literal 1/8 binary64))
(* 1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1/6 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))
(exp (* 1/8 (+ (log -1) (* -11 (log (/ -1 x))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -11 binary64))) #s(literal 1/8 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite112.0ms (3.9%)

Memory

16.4MiB live, 165.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	134
0	42	109
1	108	105
2	411	99
3	3001	99
0	8314	99

Stop Event

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

Counts

17 → 532

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
(*.f64 (sqrt.f64 x) x)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64))))
(pow.f64 x #s(literal 5/8 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))
(sqrt.f64 x)

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 11/16 binary64))) (pow.f64 x #s(literal 11/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 5/16 binary64)))) (neg.f64 (pow.f64 x #s(literal 5/16 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 27/16 binary64))) (pow.f64 x #s(literal 5/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5/16 binary64))) (pow.f64 x #s(literal 27/16 binary64)))
(.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 27/16 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/16 binary64)))
(.f64 (pow.f64 x #s(literal 27/16 binary64)) (.f64 (pow.f64 x #s(literal 5/16 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 11/8 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal 5/32 binary64)) (.f64 (pow.f64 x #s(literal 5/32 binary64)) (*.f64 (pow.f64 x #s(literal 27/16 binary64)) #s(literal 1/6 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 3/2 binary64)) #s(literal 1/6 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5/16 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 5/16 binary64))) (*.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal 11/16 binary64)) (.f64 (pow.f64 x #s(literal 11/16 binary64)) (*.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 5/16 binary64)) (.f64 (pow.f64 x #s(literal 27/16 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 11/8 binary64)) (.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(neg.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5/8 binary64))) (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 5/8 binary64))) (*.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 5/8 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 5/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5/8 binary64))) (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 5/8 binary64))) (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 5/8 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64)) (sinh.f64 (.f64 (log.f64 x) #s(literal 5/8 binary64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (cosh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sinh.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(neg.f64 (*.f64 #s(literal 1/6 binary64) x))
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(exp.f64 (fma.f64 (log.f64 x) #s(literal 11/16 binary64) (.f64 (.f64 (log.f64 x) #s(literal 11/4 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 11/16 binary64) (*.f64 (log.f64 x) #s(literal 11/16 binary64))))
(exp.f64 (.f64 (/.f64 (.f64 #s(literal 11/8 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 11/8 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 11/4 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 11/16 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 11/2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 11/16 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 11/8 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 11/16 binary64)))
(exp.f64 (*.f64 #s(literal 11/8 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 #s(literal 11/8 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 11/8 binary64) (log.f64 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 27/32 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5/32 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/32 binary64))) (sqrt.f64 (pow.f64 x #s(literal 27/32 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 11/32 binary64)) (pow.f64 x #s(literal 5/32 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 5/32 binary64)) (pow.f64 x #s(literal 11/32 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval75.0ms (2.6%)

Memory: -16.5MiB live, 126.2MiB allocated; 26ms collecting garbage
Compiler: Compiled 7 892 to 1 562 computations (80.2% saved)

prune22.0ms (0.8%)

Memory

-18.3MiB live, 29.0MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	367	1	368
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	368	9	377

Accuracy

100.0%

Counts

377 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.7%	(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
✓	47.4%	#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
	47.4%	#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64))))
✓	47.4%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
✓	47.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	47.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	53.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 302 to 161 computations (46.7% saved)

regimes15.0ms (0.5%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (pow.f64 x #s(literal 5/8 binary64)) (.f64 (pow.f64 x #s(literal 11/8 binary64)) #s(literal 1/6 binary64))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 11/4 binary64)))) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))

Calls

4 calls:

4.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
3.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 x x)`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Calls

4 calls:

2.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.3%	2	`(*.f64 x x)`
99.3%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.3%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.3%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes29.0ms (1%)

Memory

-35.7MiB live, 9.3MiB allocated; 6ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Calls

4 calls:

26.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
1.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
53.6%	1	`(*.f64 x x)`
53.6%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
53.6%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
53.6%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch13.0ms (0.4%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0011941623377177601	1125.7824294275438

Samples

6.0ms

144×

valid

Compiler

Compiled 208 to 190 computations (8.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (33.1% of total)

ival-div: 1.0ms (33.1% of total)

ival-mult: 1.0ms (33.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.4%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	24	49
2	43	49
3	72	49
4	100	49
5	117	49
6	128	49

Stop Event

1×

saturated

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))

(if (<=.f64 x #s(literal 7746191359077253/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))

#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs

#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))

(if (<=.f64 x #s(literal 7746191359077253/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))

#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

derivations435.0ms (14.9%)

Memory

-23.3MiB live, 401.4MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
0	17	35
1	57	26
2	276	26
3	2326	26
0	8826	26
0	19	34
1	38	34
2	87	34
3	298	34
4	1444	34
5	5082	34
6	6874	34
0	8007	30
0	24	100
0	35	97
1	108	97
2	529	97
3	5414	97
0	8378	97

Stop Event

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

Compiler

Compiled 49 to 17 computations (65.3% saved)

preprocess23.0ms (0.8%)

Memory: 10.2MiB live, 55.9MiB allocated; 4ms collecting garbage
Remove: (abs x)
Compiler: Compiled 140 to 68 computations (51.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	86	14
4	129	14
5	140	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	112	7
0	112	7

Iter	Nodes	Cost
0	28	150
0	42	142
1	67	142
2	118	138
3	183	138
4	344	138
5	547	138
6	632	138
7	658	138
8	680	138
9	693	138
0	693	138

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	86	14
4	129	14
5	140	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	112	7
0	112	7

Iter	Nodes	Cost
0	28	150
0	42	142
1	67	142
2	118	138
3	183	138
4	344	138
5	547	138
6	632	138
7	658	138
8	680	138
9	693	138
0	693	138

start0.0ms (0%)

analyze0.0ms (0%)

sample678.0ms (23.3%)

explain70.0ms (2.4%)

preprocess18.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.3%)

localize16.0ms (0.6%)

series2.0ms (0.1%)

simplify110.0ms (3.8%)

rewrite139.0ms (4.8%)

eval28.0ms (1%)

prune6.0ms (0.2%)

simplify11.0ms (0.4%)

localize55.0ms (1.9%)

series5.0ms (0.2%)

simplify100.0ms (3.4%)

rewrite156.0ms (5.4%)

eval81.0ms (2.8%)

prune6.0ms (0.2%)

simplify8.0ms (0.3%)

localize42.0ms (1.4%)

series6.0ms (0.2%)

simplify47.0ms (1.6%)

rewrite124.0ms (4.2%)

eval38.0ms (1.3%)

prune6.0ms (0.2%)

simplify20.0ms (0.7%)

localize134.0ms (4.6%)

series147.0ms (5%)

simplify106.0ms (3.6%)

rewrite112.0ms (3.9%)

eval75.0ms (2.6%)

prune22.0ms (0.8%)

regimes15.0ms (0.5%)

regimes6.0ms (0.2%)

regimes29.0ms (1%)

bsearch13.0ms (0.4%)

simplify11.0ms (0.4%)

derivations435.0ms (14.9%)

preprocess23.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	86	14
4	129	14
5	140	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	112	7
0	112	7

Iter	Nodes	Cost
0	28	150
0	42	142
1	67	142
2	118	138
3	183	138
4	344	138
5	547	138
6	632	138
7	658	138
8	680	138
9	693	138
0	693	138