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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample848.0ms (29.3%)

Memory

16.8MiB live, 1 423.6MiB allocated; 329ms collecting garbage

Samples

549.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 349.0ms

ival-sub: 128.0ms (36.7% of total)

ival-mult: 120.0ms (34.4% of total)

ival-div: 80.0ms (22.9% of total)

exact: 9.0ms (2.6% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 4.0ms (1.1% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain145.0ms (5%)

Memory

-18.5MiB live, 155.2MiB allocated; 72ms 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

47.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 27.0ms (78.9% of total)

ival-div: 4.0ms (11.7% of total)

ival-sub: 3.0ms (8.8% of total)

exact: 1.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess18.0ms (0.6%)

Memory

-13.3MiB live, 33.5MiB allocated; 2ms collecting garbage

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify5.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

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)

localize21.0ms (0.7%)

Memory

19.0MiB live, 64.3MiB allocated; 4ms 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

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 4.0ms (41.9% of total)

ival-div: 3.0ms (31.4% of total)

ival-mult: 2.0ms (21% 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)

series7.0ms (0.2%)

Memory

-39.7MiB live, 7.9MiB allocated; 9ms 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
5.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify114.0ms (3.9%)

Memory

41.0MiB live, 174.6MiB allocated; 11ms collecting garbage

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))

rewrite185.0ms (6.4%)

Memory

3.9MiB live, 248.1MiB allocated; 33ms 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: -21.8MiB live, 66.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 7 183 to 760 computations (89.4% saved)

prune5.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	194	6	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	6	201

Accuracy

100.0%

Counts

201 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(/.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)))
▶	86.8%	(/.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)))
▶	50.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	51.0%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 136 to 112 computations (17.6% saved)

simplify8.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

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)

localize70.0ms (2.4%)

Memory

-41.6MiB live, 67.3MiB allocated; 21ms 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	16.216679026009754	(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	0.15625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	31.59064667941904	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	31.380884600084478	#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	0.05078125	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
accuracy	0.34765625	(*.f64 #s(literal 1/6 binary64) x)

Samples

40.0ms

256×

valid

Compiler

Compiled 92 to 21 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 10.0ms (35.7% of total)

const: 4.0ms (14.3% of total)

ival-div: 3.0ms (10.7% of total)

ival-sub: 3.0ms (10.7% of total)

ival-pow: 3.0ms (10.7% of total)

ival-add: 2.0ms (7.1% of total)

ival-sqrt: 2.0ms (7.1% of total)

exact: 1.0ms (3.6% 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

8.7MiB live, 8.7MiB 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))

simplify92.0ms (3.2%)

Memory

0.6MiB live, 137.0MiB allocated; 10ms collecting garbage

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))

rewrite122.0ms (4.2%)

Memory

1.6MiB live, 148.3MiB allocated; 10ms 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))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (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)))))
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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))))

eval35.0ms (1.2%)

Memory: 15.8MiB live, 61.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 732 to 1 176 computations (82.5% saved)

prune18.0ms (0.6%)

Memory

-26.3MiB live, 27.5MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	291	2	293
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	293	6	299

Accuracy

100.0%

Counts

299 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))
▶	50.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
✓	50.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	37.5%	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
✓	51.0%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 78 to 63 computations (19.2% saved)

simplify6.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Localize:

Found 8 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)))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	69
0	26	69
1	39	69
2	65	69
3	96	69
4	125	69
5	140	69
6	143	69
0	143	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/36 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 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)))
(.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) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 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 (.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)

localize52.0ms (1.8%)

Memory

13.1MiB live, 58.8MiB allocated; 4ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.15625	(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64))
accuracy	0.16015625	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
accuracy	31.59064667941904	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.049160009768442016	(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	16.220945017635014	(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy	31.59064667941904	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Samples

42.0ms

256×

valid

Compiler

Compiled 55 to 19 computations (65.5% saved)

Precisions

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

ival-pow: 9.0ms (29.9% of total)

ival-mult: 7.0ms (23.3% of total)

const: 6.0ms (19.9% of total)

ival-sqrt: 4.0ms (13.3% of total)

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

ival-sub: 1.0ms (3.3% 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)

series8.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

9 → 13

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 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)))
(.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))
(* 1/36 (pow x 4))
(pow x 4)
(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

4.0ms

-inf

((/ (- (* x x) 3) 6) (sqrt (* 1/36 (pow x 4))) (* 1/36 (pow x 4)) (pow x 4) (/ (- (* 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) (sqrt (* 1/36 (pow x 4))) (* 1/36 (pow x 4)) (pow x 4) (/ (- (* 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

((/ (- (* x x) 3) 6) (sqrt (* 1/36 (pow x 4))) (* 1/36 (pow x 4)) (pow x 4) (/ (- (* x x) 3) 6) (* (* (pow x 3/2) (sqrt x)) 1/6) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))

simplify40.0ms (1.4%)

Memory

-26.4MiB live, 19.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	66
1	54	55
2	129	53
3	366	53
0	1301	51

Stop Event

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

Counts

13 → 13

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/36 (pow x 4))
(pow x 4)
(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))
(* 1/36 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 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)

rewrite143.0ms (4.9%)

Memory

31.5MiB live, 124.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	63
0	26	59
1	76	52
2	316	52
3	2712	52
0	8428	52

Stop Event

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

Counts

9 → 329

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 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)))
(.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 (neg.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))) (neg.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (pow.f64 x #s(literal 5/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 5/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))
(.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 (pow.f64 x #s(literal 5/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 x x)))))
(.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)))
(.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 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 x x)))))
(.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 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal 5/4 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 x 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 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))
(.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)) (sqrt.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 1/36 binary64) (.f64 x x)))))
(.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) (sqrt.f64 (.f64 x (.f64 #s(literal 1/36 binary64) (.f64 x x)))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))))
(.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)) (sqrt.f64 (.f64 x #s(literal 1/36 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 #s(literal 1/6 binary64) x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64))))
(pow.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 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)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(fabs.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64) (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(+.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 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64)))) (.f64 x x))
(*.f64 (exp.f64 (log.f64 #s(literal 1/36 binary64))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (pow.f64 x #s(literal 5/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)
(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(.f64 (.f64 #s(literal 1/36 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))
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(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 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 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 (exp.f64 #s(literal 4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 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))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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 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 (sqrt.f64 (pow.f64 x #s(literal 15/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 9/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 15/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 5/8 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 x #s(literal 5/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 7/4 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 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 5/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/4 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)) (sqrt.f64 (pow.f64 x #s(literal 9/4 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 4 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3/16 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 6 binary64)) #s(literal 1/4 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/8 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 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 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 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3/8 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 1/4 binary64))) (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 (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 1/4 binary64)) (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))))
(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 (.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))))

eval55.0ms (1.9%)

Memory: 12.1MiB live, 56.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 863 to 1 216 computations (79.3% saved)

prune23.0ms (0.8%)

Memory

-25.9MiB live, 19.1MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	283	3	286
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	283	9	292

Accuracy

100.0%

Counts

292 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))
✓	50.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
▶	50.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
✓	50.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	50.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
▶	37.5%	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
✓	37.5%	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
✓	51.0%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 126 to 98 computations (22.2% saved)

simplify36.0ms (1.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
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))
cost-diff	0	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
cost-diff	2	(.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) x)
cost-diff	2	(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	118
0	33	106
1	58	106
2	129	98
3	368	92
4	1404	92
5	2003	92
6	2090	92
7	2096	92
8	2096	92
9	2311	92
10	2311	92
0	2311	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x))
(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)
(.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) x)
(.f64 #s(literal 1/36 binary64) (.f64 x x))
#s(literal 1/36 binary64)
(*.f64 x x)
x
#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)

Outputs
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 x x)
x
#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)

localize67.0ms (2.3%)

Memory

-3.1MiB live, 42.1MiB allocated; 4ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(*.f64 (sqrt.f64 x) x)
accuracy	0.15625	(.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64))
accuracy	0.16015625	(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
accuracy	31.59064667941904	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
accuracy	0.10546875	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.34765625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	31.59064667941904	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
accuracy	0.0625	(.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) x)
accuracy	0.38832973427482087	(.f64 #s(literal 1/36 binary64) (.f64 x x))
accuracy	16.220945017635014	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x))
accuracy	31.59064667941904	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))

Samples

55.0ms

256×

valid

Compiler

Compiled 93 to 20 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 13.0ms (44.2% of total)

ival-sqrt: 6.0ms (20.4% of total)

const: 6.0ms (20.4% of total)

ival-div: 2.0ms (6.8% of total)

ival-sub: 1.0ms (3.4% 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)

series7.0ms (0.3%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

12 → 13

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)
(.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) x)
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x))
#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)
(.f64 #s(literal 1/36 binary64) (.f64 x x))

Outputs
(* 1/36 (pow x 4))
(* 1/36 (pow x 3))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
(sqrt (pow x 3))
(* 1/36 (pow x 2))
(* (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)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* (* (* 1/36 (* x x)) x) x) (* (* 1/36 (* x x)) x) (/ (- (* x x) 3) 6) (sqrt (* (* (* 1/36 (* x x)) x) x)) (/ (- (* 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) (* 1/36 (* x x)))

2.0ms

inf

((* (* (* 1/36 (* x x)) x) x) (* (* 1/36 (* x x)) x) (/ (- (* x x) 3) 6) (sqrt (* (* (* 1/36 (* x x)) x) x)) (/ (- (* 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) (* 1/36 (* x x)))

2.0ms

((* (* (* 1/36 (* x x)) x) x) (* (* 1/36 (* x x)) x) (/ (- (* x x) 3) 6) (sqrt (* (* (* 1/36 (* x x)) x) x)) (/ (- (* 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) (* 1/36 (* x x)))

simplify68.0ms (2.3%)

Memory

-29.6MiB live, 29.8MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	57
1	64	57
2	152	57
3	465	57
0	2191	55

Stop Event

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

Counts

13 → 13

Calls

Call 1

Inputs
(* 1/36 (pow x 4))
(* 1/36 (pow x 3))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/6 x)
(pow x 2)
(sqrt (pow x 3))
(* 1/36 (pow x 2))
(* (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)))

Outputs
(* 1/36 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(* 1/36 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))
-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 (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)))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 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))
(* -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)))

rewrite145.0ms (5%)

Memory

30.4MiB live, 120.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	107
0	33	119
1	82	87
2	338	78
3	2366	78
0	8335	78

Stop Event

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

Counts

12 → 208

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)
(.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) x)
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x))
#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)
(.f64 #s(literal 1/36 binary64) (.f64 x x))

Outputs
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/36 binary64))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64)))) (.f64 x x))
(*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64)))) x)
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 1/36 binary64)))
(.f64 (.f64 x #s(literal 1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64)) x)
(.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 x x))
(.f64 (.f64 x x) (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))
(*.f64 x (exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64)))))
(.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))))
(+.f64 (cosh.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64)))) (sinh.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))
(.f64 (.f64 x #s(literal 1/36 binary64)) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/36 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))) (neg.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))))
(.f64 (pow.f64 (pow.f64 (.f64 x #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 x x))
(.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 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))
(.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 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 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 #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))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))))
(pow.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))) (.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))))))
(neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(fabs.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(exp.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))) (neg.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))))
(.f64 (pow.f64 (pow.f64 (.f64 x #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 x x))
(.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 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))
(.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 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 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 #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))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))))
(pow.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))) (.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))))))
(neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(fabs.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(exp.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))
(.f64 (fabs.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (fabs.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.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 (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))
(pow.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/6 binary64) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fabs.f64 (pow.f64 x #s(literal 7/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 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 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.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 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 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 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))) (neg.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))))
(.f64 (pow.f64 (pow.f64 (.f64 x #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 x x))
(.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 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))
(.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 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 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 #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))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))))
(pow.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))) (.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))))))
(neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(fabs.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(exp.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sinh.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 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 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 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 (pow.f64 (sqrt.f64 x) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 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 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 x))))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(exp.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 (.f64 x #s(literal 1/36 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(neg.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)))

eval35.0ms (1.2%)

Memory: -22.6MiB live, 23.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 803 to 575 computations (79.5% saved)

prune9.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	0	0
Picked	1	2	3
Done	1	5	6
Total	149	8	157

Accuracy

100.0%

Counts

157 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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)))
✓	50.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 1/6 binary64)))
✓	50.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1/6 binary64)))
✓	50.5%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	50.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
	37.5%	#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x #s(literal 1/36 binary64)) x) x) x)))
✓	51.0%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 283 to 146 computations (48.4% saved)

regimes40.0ms (1.4%)

Memory

-21.8MiB live, 31.4MiB allocated; 8ms collecting garbage

Counts

13 → 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) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) x)))
#s(approx (/ (- (* x x) 3) 6) (sqrt.f64 (.f64 (.f64 (.f64 (.f64 x #s(literal 1/36 binary64)) x) x) 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) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 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)))
(/.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)))

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:

29.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
4.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 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

13.7MiB live, 13.7MiB 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
99.7%	2	`(*.f64 x x)`
99.7%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.7%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.7%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms 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:

1.0ms	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
51.0%	1	`(*.f64 x x)`
51.0%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
51.0%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
51.0%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch19.0ms (0.6%)

Memory

-18.5MiB live, 25.6MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.452819082830158e-5	99557912.31740691

Samples

11.0ms

160×

valid

Compiler

Compiled 230 to 210 computations (8.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (64.8% of total)

ival-sub: 1.0ms (13% of total)

ival-div: 1.0ms (13% 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)

simplify12.0ms (0.4%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

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))

derivations352.0ms (12.2%)

Memory

-23.1MiB live, 310.4MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	63
0	26	59
1	76	52
2	316	52
3	2712	52
0	8428	52
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)

preprocess42.0ms (1.5%)

Memory: -15.8MiB live, 30.5MiB 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample848.0ms (29.3%)

explain145.0ms (5%)

preprocess18.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize21.0ms (0.7%)

series7.0ms (0.2%)

simplify114.0ms (3.9%)

rewrite185.0ms (6.4%)

eval28.0ms (1%)

prune5.0ms (0.2%)

simplify8.0ms (0.3%)

localize70.0ms (2.4%)

series5.0ms (0.2%)

simplify92.0ms (3.2%)

rewrite122.0ms (4.2%)

eval35.0ms (1.2%)

prune18.0ms (0.6%)

simplify6.0ms (0.2%)

localize52.0ms (1.8%)

series8.0ms (0.3%)

simplify40.0ms (1.4%)

rewrite143.0ms (4.9%)

eval55.0ms (1.9%)

prune23.0ms (0.8%)

simplify36.0ms (1.2%)

localize67.0ms (2.3%)

series7.0ms (0.3%)

simplify68.0ms (2.3%)

rewrite145.0ms (5%)

eval35.0ms (1.2%)

prune9.0ms (0.3%)

regimes40.0ms (1.4%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch19.0ms (0.6%)

simplify12.0ms (0.4%)

derivations352.0ms (12.2%)

preprocess42.0ms (1.5%)

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