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

0.8MiB live, 0.8MiB 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)

sample798.0ms (28.6%)

Memory

46.9MiB live, 1 260.7MiB allocated; 265ms collecting garbage

Samples

440.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-div: 97.0ms (42.8% of total)

ival-mult: 68.0ms (30% of total)

ival-sub: 42.0ms (18.5% of total)

exact: 8.0ms (3.5% of total)

ival-true: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain80.0ms (2.9%)

Memory

24.6MiB live, 113.5MiB allocated; 35ms 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

29.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 9.0ms (50.8% of total)

ival-mult: 4.0ms (22.6% of total)

ival-div: 3.0ms (16.9% 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)

preprocess45.0ms (1.6%)

Memory

-21.0MiB live, 23.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	30	21
2	58	21
3	90	21
4	135	21
5	145	21
6	149	21
7	152	21
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify6.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB 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	117	18
7	125	18
8	131	18
9	135	18
0	135	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)

localize39.0ms (1.4%)

Memory

-34.5MiB live, 22.7MiB allocated; 22ms 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	0.05859375	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (36.6% of total)

ival-mult: 2.0ms (36.6% of total)

ival-sub: 1.0ms (18.3% 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)

series3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

3 → 9

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
0.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify87.0ms (3.1%)

Memory

29.4MiB live, 115.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	97
1	60	97
2	196	97
3	881	97
4	4787	97
0	8369	85

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

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

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

rewrite147.0ms (5.3%)

Memory

11.7MiB live, 200.7MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	115	15
2	1456	15
0	8326	15

Stop Event

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

Counts

3 → 200

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 (pow.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (cosh.f64 (log.f64 #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (sinh.f64 (log.f64 #s(literal 3 binary64)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (cbrt.f64 #s(literal 36 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) (cbrt.f64 #s(literal 6 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 6 binary64))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) (sqrt.f64 #s(literal 6 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 2 binary64)) (cbrt.f64 #s(literal 36 binary64))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (cbrt.f64 #s(literal 9 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 9 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 6 binary64))) (sqrt.f64 #s(literal 6 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) (cbrt.f64 #s(literal 36 binary64))) (cbrt.f64 #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x x) #s(literal -6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 216 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1/2 binary64))
(exp.f64 (+.f64 (/.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))) (/.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 3 binary64))))
(exp.f64 (+.f64 (/.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 3 binary64)) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64)))))
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64)))
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(exp.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 x) x)) (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (log.f64 (.f64 (cbrt.f64 x) x))))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(log.f64 (pow.f64 (exp.f64 x) x))

eval28.0ms (1%)

Memory: 10.9MiB live, 55.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 022 to 677 computations (77.6% saved)

prune13.0ms (0.5%)

Memory

-38.5MiB live, 20.0MiB allocated; 15ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	199	8	207
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	8	208

Accuracy

100.0%

Counts

208 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 6 binary64))) (sqrt.f64 #s(literal 6 binary64)))
▶	99.9%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
▶	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
	46.6%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	45.6%	(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
	46.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	99.8%	#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	53.7%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 188 to 140 computations (25.5% saved)

simplify29.0ms (1.1%)

Memory

10.2MiB live, 54.8MiB allocated; 9ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
cost-diff	9	(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.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 6 binary64))
cost-diff	1	(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
cost-diff	2	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 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))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	134
0	37	131
1	62	123
2	128	123
3	285	119
4	511	119
5	780	119
6	969	119
7	1044	119
8	1059	119
0	1059	119

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.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)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal 1/6 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(.f64 (.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
#s(literal 18 binary64)
#s(literal 36 binary64)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))
#s(literal 6 binary64)

Outputs
(/.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)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal 1/6 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
#s(literal 18 binary64)
#s(literal 36 binary64)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))
#s(literal 6 binary64)

localize60.0ms (2.2%)

Memory

17.7MiB live, 173.3MiB allocated; 20ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))
accuracy	0.046875	(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
accuracy	14.906903729502476	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
accuracy	0.0	(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.03515625	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
accuracy	0.078125	(.f64 (.f64 x x) #s(literal 6 binary64))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.10546875	(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	29.0050684618973	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 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	0.0546875	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Samples

22.0ms	139×	0	invalid
16.0ms	117×	0	valid

Compiler

Compiled 120 to 21 computations (82.5% saved)

Precisions

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

ival-mult: 6.0ms (27.3% of total)

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

const: 4.0ms (18.2% of total)

ival-sqrt: 3.0ms (13.6% of total)

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

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

exact: 1.0ms (4.5% 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

-30.7MiB live, 16.3MiB allocated; 2ms collecting garbage

Counts

14 → 54

Calls

Call 1

Inputs
(/.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))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(.f64 (.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (+ (* x x) -3) #s(hole binary64 -3))
#s(approx (+ (* x x) -3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 -1/2))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 -1/2))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (sqrt -3)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* 1/2 (/ (pow x 2) (sqrt -3))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 (sqrt -3))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/12 (/ (pow x 2) (sqrt -3))) (* 1/6 (sqrt -3)))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* -1/48 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/48 (/ 1 (pow (sqrt -3) 3))))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -3) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (sqrt (- (* x x) 3)) (- (* x x) 3) (/ (sqrt (- (* x x) 3)) 6))
2.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (sqrt (- (* x x) 3)) (- (* x x) 3) (/ (sqrt (- (* x x) 3)) 6))
1.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (sqrt (- (* x x) 3)) (- (* x x) 3) (/ (sqrt (- (* x x) 3)) 6))

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (sqrt (- (* x x) 3)) (- (* x x) 3) (/ (sqrt (- (* x x) 3)) 6))

2.0ms

((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (sqrt (- (* x x) 3)) (- (* x x) 3) (/ (sqrt (- (* x x) 3)) 6))

1.0ms

-inf

((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (sqrt (- (* x x) 3)) (- (* x x) 3) (/ (sqrt (- (* x x) 3)) 6))

simplify115.0ms (4.1%)

Memory

25.2MiB live, 259.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	925
1	474	909
2	1883	897
0	8577	821

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (+ (* x x) -3) #s(hole binary64 -3))
#s(approx (+ (* x x) -3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 -1/2))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 -1/2))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (sqrt -3)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* 1/2 (/ (pow x 2) (sqrt -3))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 (sqrt -3))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/12 (/ (pow x 2) (sqrt -3))) (* 1/6 (sqrt -3)))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* -1/48 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/48 (/ 1 (pow (sqrt -3) 3))))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -3) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (+ (* x x) -3) #s(literal -3 binary64))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (+ (* x x) -3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (+ (* x x) -3) #s(hole binary64 -3))
#s(approx (+ (* x x) -3) #s(literal -3 binary64))
#s(approx (+ (* x x) -3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (+ (* x x) -3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(literal -1/2 binary64))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(literal -1/2 binary64))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18))
#s(approx (- (* (* x x) 6) 18) #s(literal -18 binary64))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)))
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* (* x x) 6) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(literal -1/2 binary64))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (sqrt -3)))
#s(approx (sqrt (- (* x x) 3)) (sqrt.f64 #s(literal -3 binary64)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* 1/2 (/ (pow x 2) (sqrt -3))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 x x) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 (sqrt -3))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/6 binary64)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/12 (/ (pow x 2) (sqrt -3))) (* 1/6 (sqrt -3)))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (/.f64 x (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/6 binary64))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* -1/48 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/12 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/6 binary64))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/48 (/ 1 (pow (sqrt -3) 3))))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/96 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/144 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/6 binary64))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -3) (*.f64 x x))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -3) (.f64 x (fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) x x)))
#s(approx (+ (* x x) -3) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -3) (*.f64 x x))
#s(approx (+ (* x x) -3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -3) (.f64 x (fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) x x)))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) x) x))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 3)) x)
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 x x)) x x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 9/8 binary64) (.f64 x x))) (/.f64 x (.f64 x x)) x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 3/2 binary64) (.f64 x x))) x x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -9/32 binary64) (.f64 x x)) #s(literal 3/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 3)) (neg.f64 x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x))) x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/8 binary64) (*.f64 x x)) #s(literal -3/2 binary64)) x) x) x (neg.f64 x)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) (.f64 x x)) #s(literal -9/8 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)))) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/32 binary64) (.f64 x x)) #s(literal -3/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x))

rewrite44.0ms (1.6%)

Memory

-28.2MiB live, 71.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	113
0	37	105
0	414	105

Stop Event

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

Counts

14 → 129

Calls

Call 1

Inputs
(/.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))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(.f64 (.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))

Outputs
(.f64 (sqrt.f64 (/.f64 #s(approx (- ( x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))))
(.f64 (.f64 (cbrt.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))) (cbrt.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))))
(pow.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(cbrt.f64 (.f64 (.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))))
(exp.f64 (log.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))))
(.f64 (sqrt.f64 #s(approx (- ( x x) 3) (fma.f64 x x #s(literal -3 binary64)))) (sqrt.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (.f64 (cbrt.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) (cbrt.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))))) (cbrt.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))))
(pow.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(cbrt.f64 (.f64 (.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))))
(exp.f64 (log.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))))
(log.f64 (exp.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -3 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -3 binary64))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x x #s(literal -3 binary64))) (cbrt.f64 (fma.f64 x x #s(literal -3 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal -3 binary64))))
(pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -27 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal -3 binary64)))))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -3 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -3 binary64))
(fma.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)) #s(literal -3 binary64))
(fma.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 x x)) #s(literal -3 binary64))
(fma.f64 x x #s(literal -3 binary64))
(cbrt.f64 (.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) (fma.f64 x x #s(literal -3 binary64))) (fma.f64 x x #s(literal -3 binary64))))
(exp.f64 (log.f64 (fma.f64 x x #s(literal -3 binary64))))
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
(log.f64 (exp.f64 (fma.f64 x x #s(literal -3 binary64))))
(.f64 (sqrt.f64 #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64))) (sqrt.f64 #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))))
(.f64 (.f64 (cbrt.f64 #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))) (cbrt.f64 #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)))) (cbrt.f64 #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))))
(pow.f64 #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
(cbrt.f64 (.f64 (.f64 #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))))
(log.f64 (exp.f64 #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 #s(approx (/ (- ( x x) 3) 6) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))) (sqrt.f64 #s(approx (/ (- ( x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))))
(.f64 (.f64 (cbrt.f64 #s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))) (cbrt.f64 #s(approx (/ (- ( x x) 3) 6) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))))) (cbrt.f64 #s(approx (/ (- ( x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))))
(pow.f64 #s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(cbrt.f64 (.f64 (.f64 #s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(approx (/ (- ( x x) 3) 6) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))) #s(approx (/ (- ( x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))))
(exp.f64 (log.f64 #s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))))
(log.f64 (exp.f64 #s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (.f64 (cbrt.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (cbrt.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(log.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))) (sqrt.f64 (/.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))) (cbrt.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)))) (cbrt.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -36 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))))
(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) (sqrt.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))))
(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) (cbrt.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)))) (cbrt.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))))
(pow.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 324 binary64)) (fma.f64 (.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 5832 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) (.f64 (.f64 x x) #s(literal 6 binary64)) (+.f64 #s(literal 324 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)))))
(cbrt.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(exp.f64 (log.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))))
(log.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 6 binary64))) (sqrt.f64 (.f64 (*.f64 x x) #s(literal 6 binary64))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) #s(literal 6 binary64))) (cbrt.f64 (.f64 (.f64 x x) #s(literal 6 binary64)))) (cbrt.f64 (.f64 (.f64 x x) #s(literal 6 binary64))))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 #s(literal 6 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 6 binary64)))
(pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) (.f64 (.f64 x x) #s(literal 6 binary64))) (.f64 (.f64 x x) #s(literal 6 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 x x) #s(literal 6 binary64))))
(log.f64 (exp.f64 (.f64 (.f64 x x) #s(literal 6 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x x)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 x x)))
(log.f64 (exp.f64 (*.f64 x x)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(cbrt.f64 (.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))))
(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (cbrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)))) (cbrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(pow.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))
(cbrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) (-.f64 (.f64 x x) #s(literal 3 binary64))) (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal -6 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))
(cbrt.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))))

eval24.0ms (0.9%)

Memory: 10.1MiB live, 56.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 671 to 731 computations (84.4% saved)

prune7.0ms (0.3%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	228	5	233
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	233	8	241

Accuracy

100.0%

Counts

241 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64)) #s(literal 36 binary64))
▶	46.6%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
▶	46.6%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
	45.3%	(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
▶	46.6%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	53.7%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 183 to 145 computations (20.8% saved)

simplify19.0ms (0.7%)

Memory

-14.6MiB live, 32.8MiB allocated; 1ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 6 binary64))
cost-diff	0	#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 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) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x #s(literal 6 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal 6 binary64)))
cost-diff	0	(-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64))
cost-diff	2	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64)) #s(literal 36 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	143
0	38	143
1	59	139
2	114	139
3	245	139
4	431	139
5	544	139
6	606	139
7	635	139
8	663	139
9	664	139
0	664	139

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64))
(.f64 x (.f64 x #s(literal 6 binary64)))
x
(*.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 18 binary64)
#s(literal 36 binary64)
#s(approx (/ (- (* (* x x) 6) 18) 36) (.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)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
(.f64 (.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
#s(literal 36 binary64)

Outputs
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64))
(-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))
(.f64 x (.f64 x #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 6 binary64) x) x)
x
(*.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
#s(literal 18 binary64)
#s(literal 36 binary64)
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(*.f64 x x)
x
#s(literal 6 binary64)
#s(literal 36 binary64)

localize55.0ms (2%)

Memory

5.2MiB live, 100.0MiB allocated; 10ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.046875	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
accuracy	0.21712875976844204	(.f64 (.f64 x x) #s(literal 6 binary64))
accuracy	34.09559493955699	#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.05859375	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	34.092525927697096	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
accuracy	0.10546875	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.2421875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	34.0895276822686	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.0	(-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64))
accuracy	0.0	(*.f64 x #s(literal 6 binary64))
accuracy	0.046875	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64)) #s(literal 36 binary64))
accuracy	0.1796875	(.f64 x (.f64 x #s(literal 6 binary64)))

Samples

39.0ms

256×

valid

Compiler

Compiled 113 to 21 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (34.2% of total)

ival-div: 6.0ms (25.7% of total)

const: 4.0ms (17.1% of total)

ival-sub: 3.0ms (12.8% of total)

ival-add: 1.0ms (4.3% of total)

exact: 1.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

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

series5.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

14 → 33

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64))
(.f64 x (.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
(.f64 (.f64 x x) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 -18))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* x (* x 6)) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* x 6) #s(hole binary64 (* 6 x)))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (* x (* x 6)) 18) 36) (- (* x (* x 6)) 18) (* x (* x 6)) (* x 6) (/ (- (* (* x x) 6) 18) 36) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* x x) 3) 6) (- (* x x) 3) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6))

2.0ms

-inf

((/ (- (* x (* x 6)) 18) 36) (- (* x (* x 6)) 18) (* x (* x 6)) (* x 6) (/ (- (* (* x x) 6) 18) 36) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* x x) 3) 6) (- (* x x) 3) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6))

1.0ms

((/ (- (* x (* x 6)) 18) 36) (- (* x (* x 6)) 18) (* x (* x 6)) (* x 6) (/ (- (* (* x x) 6) 18) 36) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* x x) 3) 6) (- (* x x) 3) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6))

simplify111.0ms (4%)

Memory

-26.5MiB live, 106.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	429
1	127	397
2	337	397
3	1374	397
4	6599	397
0	8657	355

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

Inputs
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 -18))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* x (* x 6)) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* x 6) #s(hole binary64 (* 6 x)))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))

Outputs
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(literal -1/2 binary64))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x (* x 6)) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 -18))
#s(approx (- (* x (* x 6)) 18) #s(literal -18 binary64))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (- (* x (* x 6)) 18) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (* x (* x 6)) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* x (* x 6)) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (* x 6) #s(hole binary64 (* 6 x)))
#s(approx (* x 6) (*.f64 #s(literal 6 binary64) x))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(literal -1/2 binary64))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x (* x 6)) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* x x) 1/6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x (* x 6)) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(literal -1/2 binary64))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x (* x 6)) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(literal -3 binary64))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18))
#s(approx (- (* x (* x 6)) 18) #s(literal -18 binary64))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (- (* x (* x 6)) 18) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* x (* x 6)) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x (* x 6)) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x (* x 6)) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x (* x 6)) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* x (* x 6)) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (- (* x (* x 6)) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (- (* x (* x 6)) 18) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x (* x 6)) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x (* x 6)) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x (* x 6)) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x (* x 6)) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x (* x 6)) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x (* x 6)) 18) 36) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* x (* x 6)) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (- (* x (* x 6)) 18) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))

rewrite87.0ms (3.1%)

Memory

-52.7MiB live, 41.4MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	120
0	38	120
0	458	120

Stop Event

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

Counts

14 → 124

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64))
(.f64 x (.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
(.f64 (.f64 x x) #s(literal 6 binary64))

Outputs
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64))) (sqrt.f64 (/.f64 (-.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64))))
(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64))) (cbrt.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)))) (cbrt.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64))))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))) #s(literal -36 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64))
(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 36 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64))))
(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64))))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))) (sqrt.f64 (-.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))))
(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))) (cbrt.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)))) (cbrt.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))))
(pow.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 324 binary64)) (fma.f64 (.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 3 binary64)) #s(literal 5832 binary64)) (fma.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) (.f64 (.f64 #s(literal 6 binary64) x) x) (+.f64 #s(literal 324 binary64) (.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)))))
(cbrt.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))) (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))))
(-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))
(exp.f64 (log.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))))
(log.f64 (exp.f64 (-.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x)))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)) (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x))) (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(.f64 #s(literal 6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 6 binary64) x))
(pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 1 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) (.f64 (.f64 #s(literal 6 binary64) x) x)) (.f64 (.f64 #s(literal 6 binary64) x) x)))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)))
(log.f64 (exp.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 6 binary64) x)) (sqrt.f64 (*.f64 #s(literal 6 binary64) x)))
(.f64 (.f64 (cbrt.f64 (.f64 #s(literal 6 binary64) x)) (cbrt.f64 (.f64 #s(literal 6 binary64) x))) (cbrt.f64 (*.f64 #s(literal 6 binary64) x)))
(*.f64 #s(literal 6 binary64) x)
(*.f64 x #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal 6 binary64) x)) (*.f64 #s(literal 6 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 6 binary64) x)))
(log.f64 (exp.f64 (*.f64 #s(literal 6 binary64) x)))
(.f64 (sqrt.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (sqrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 (.f64 (cbrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (cbrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x))))) (cbrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(pow.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1 binary64))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(cbrt.f64 (.f64 (.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(exp.f64 (log.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(log.f64 (exp.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))) (cbrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (cbrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(exp.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(log.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x x)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 x x)))
(log.f64 (exp.f64 (*.f64 x x)))
(.f64 (sqrt.f64 #s(approx (/ (- ( x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (sqrt.f64 #s(approx (/ (- ( x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(.f64 (.f64 (cbrt.f64 #s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (cbrt.f64 #s(approx (/ (- ( x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))))) (cbrt.f64 #s(approx (/ (- ( x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(pow.f64 #s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(cbrt.f64 (.f64 (.f64 #s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(approx (/ (- ( x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))) #s(approx (/ (- ( x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 #s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(log.f64 (exp.f64 #s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(.f64 (.f64 (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #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 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal -1/2 binary64))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x))) (cbrt.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (cbrt.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(cbrt.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(approx (- ( x x) 3) (.f64 x x)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 6 binary64))))
(.f64 (.f64 (cbrt.f64 (/.f64 #s(approx (- (* x x) 3) (.f64 x x)) #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(approx (- ( x x) 3) (.f64 x x)) #s(literal 6 binary64)))) (cbrt.f64 (/.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 6 binary64))))
(pow.f64 (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(cbrt.f64 (.f64 (.f64 (/.f64 #s(approx (- (* x x) 3) (.f64 x x)) #s(literal 6 binary64)) (/.f64 #s(approx (- ( x x) 3) (.f64 x x)) #s(literal 6 binary64))) (/.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 6 binary64))))
(exp.f64 (log.f64 (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))))
(.f64 (sqrt.f64 #s(approx (- ( x x) 3) (.f64 x x))) (sqrt.f64 #s(approx (- ( x x) 3) (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 #s(approx (- (* x x) 3) (.f64 x x))) (cbrt.f64 #s(approx (- ( x x) 3) (.f64 x x)))) (cbrt.f64 #s(approx (- ( x x) 3) (*.f64 x x))))
(pow.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(cbrt.f64 (.f64 (.f64 #s(approx (- (* x x) 3) (.f64 x x)) #s(approx (- ( x x) 3) (.f64 x x))) #s(approx (- ( x x) 3) (*.f64 x x))))
(exp.f64 (log.f64 #s(approx (- (* x x) 3) (*.f64 x x))))
(log.f64 (exp.f64 #s(approx (- (* x x) 3) (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 #s(approx (- ( (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))) (sqrt.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))))
(.f64 (.f64 (cbrt.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))) (cbrt.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64)))) (cbrt.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))))
(pow.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))) #s(literal -36 binary64))
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
(cbrt.f64 (.f64 (.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64)) (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))) (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))))
(exp.f64 (log.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))))
(log.f64 (exp.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))))
(.f64 (sqrt.f64 #s(approx (- ( (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))) (sqrt.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))))
(.f64 (.f64 (cbrt.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))) (cbrt.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)))) (cbrt.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))))
(pow.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 1 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))
(cbrt.f64 (.f64 (.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))) #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))))
(exp.f64 (log.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))))
(log.f64 (exp.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)) (sqrt.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x)))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)) (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x))) (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(.f64 #s(literal 6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 6 binary64) x))
(pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 1 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) (.f64 (.f64 #s(literal 6 binary64) x) x)) (.f64 (.f64 #s(literal 6 binary64) x) x)))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)))
(log.f64 (exp.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)))

eval58.0ms (2.1%)

Memory: 4.0MiB live, 52.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 048 to 459 computations (84.9% saved)

prune5.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	0	1	1
Picked	2	3	5
Done	0	2	2
Total	159	8	167

Accuracy

100.0%

Counts

167 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.6%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	46.6%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	45.3%	(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
✓	46.6%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	46.6%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	53.7%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 108 to 85 computations (21.3% saved)

simplify17.0ms (0.6%)

Memory

-13.8MiB live, 31.6MiB allocated; 4ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 6 binary64) x) x)
cost-diff	0	#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	116
0	36	116
1	55	114
2	91	114
3	170	114
4	272	114
5	359	114
6	389	114
7	417	114
8	451	114
9	485	114
0	485	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))
#s(approx (sqrt (- (* x x) 3)) x)
#s(literal 6 binary64)
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x
#s(literal 36 binary64)

Outputs
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
x
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
(.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64)) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))
#s(approx (sqrt (- (* x x) 3)) x)
#s(literal 6 binary64)
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x
#s(literal 36 binary64)

localize102.0ms (3.7%)

Memory

7.8MiB live, 149.8MiB allocated; 15ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 6 binary64) x)
accuracy	0.03515625	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
accuracy	0.05078125	(.f64 (.f64 #s(literal 6 binary64) x) x)
accuracy	0.24742128914844977	#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))
accuracy	0.00390625	(/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))
accuracy	0.046875	(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
accuracy	0.24099355245617116	#s(approx (sqrt (- (* x x) 3)) x)
accuracy	14.906903729502476	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
accuracy	0.0546875	(.f64 x (.f64 x #s(literal 1/6 binary64)))
accuracy	0.17578125	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.2460937500840169	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))

Samples

42.0ms	139×	0	invalid
35.0ms	117×	0	valid

Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 54.0ms (82.5% of total)

const: 4.0ms (6.1% of total)

ival-div: 3.0ms (4.6% of total)

ival-sub: 2.0ms (3.1% of total)

ival-sqrt: 2.0ms (3.1% 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)

series5.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

13 → 45

Calls

Call 1

Inputs
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(*.f64 #s(literal 6 binary64) x)
#s(approx (sqrt (- (* x x) 3)) x)
(/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* x (* x 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x 1/6) #s(hole binary64 (* 1/6 x)))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 -1/2))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (sqrt -3)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* 1/2 (/ (pow x 2) (sqrt -3))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* (* 6 x) x) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* 6 x) #s(hole binary64 (* 6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 (sqrt -3))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/12 (/ (pow x 2) (sqrt -3))) (* 1/6 (sqrt -3)))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* -1/48 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/48 (/ 1 (pow (sqrt -3) 3))))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- (* (* x x) 6) 18) 36) (* x (* x 1/6)) (* x 1/6) (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (sqrt (- (* x x) 3)) (- (* x x) 3) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* 6 x) x) (* 6 x) (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6))

2.0ms

inf

((/ (- (* (* x x) 6) 18) 36) (* x (* x 1/6)) (* x 1/6) (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (sqrt (- (* x x) 3)) (- (* x x) 3) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* 6 x) x) (* 6 x) (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6))

1.0ms

((/ (- (* (* x x) 6) 18) 36) (* x (* x 1/6)) (* x 1/6) (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (sqrt (- (* x x) 3)) (- (* x x) 3) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* 6 x) x) (* 6 x) (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6))

simplify137.0ms (4.9%)

Memory

-29.1MiB live, 161.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	834
1	457	778
2	1818	766
0	8469	706

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* x (* x 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x 1/6) #s(hole binary64 (* 1/6 x)))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 -1/2))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (sqrt -3)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* 1/2 (/ (pow x 2) (sqrt -3))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (* (* 6 x) x) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* 6 x) #s(hole binary64 (* 6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 (sqrt -3))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/12 (/ (pow x 2) (sqrt -3))) (* 1/6 (sqrt -3)))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* -1/48 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/48 (/ 1 (pow (sqrt -3) 3))))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))))

Outputs
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(literal -1/2 binary64))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (* x (* x 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x (* x 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* x 1/6) #s(hole binary64 (* 1/6 x)))
#s(approx (* x 1/6) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 -1/2))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(literal -1/2 binary64))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (sqrt -3)))
#s(approx (sqrt (- (* x x) 3)) (sqrt.f64 #s(literal -3 binary64)))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* 1/2 (/ (pow x 2) (sqrt -3))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) x) x (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 x x) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (+ (sqrt -3) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/8 (/ 1 (pow (sqrt -3) 3))))) (* 1/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(literal -3 binary64))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18))
#s(approx (- (* (* x x) 6) 18) #s(literal -18 binary64))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18)))
#s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)))
#s(approx (* (* 6 x) x) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* (* 6 x) x) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (* 6 x) #s(hole binary64 (* 6 x)))
#s(approx (* 6 x) (*.f64 #s(literal 6 binary64) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 (sqrt -3))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/6 binary64)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/12 (/ (pow x 2) (sqrt -3))) (* 1/6 (sqrt -3)))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (/.f64 x (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/6 binary64))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* -1/48 (/ (pow x 2) (pow (sqrt -3) 3))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/12 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/6 binary64))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (+ (* 1/6 (sqrt -3)) (* (pow x 2) (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow (sqrt -3) 5))) (* 1/48 (/ 1 (pow (sqrt -3) 3))))) (* 1/12 (/ 1 (sqrt -3))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/96 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/144 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 x x) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/6 binary64))))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt (- (* x x) 3)) (/ (sqrt (- (* x x) 3)) 6)) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 3)) x)
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 x x)) x x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (-.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 9/8 binary64) (.f64 x x))) (/.f64 x (.f64 x x)) x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 3)) (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -9/8 binary64) (/.f64 #s(literal 27/16 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 3/2 binary64) (.f64 x x))) x x))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) (.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) x x) x))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) x) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (-.f64 (/.f64 (-.f64 #s(literal -3/16 binary64) (/.f64 #s(literal 9/32 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 3)) (neg.f64 x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x))) x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 3/2 (* 9/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) (.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) (.f64 x x))) (/.f64 #s(literal -9/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (- (* x x) 3)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 3)) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) (.f64 x x)) #s(literal -9/8 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x)))) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- 1/6 (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1 (/ (+ 1/4 (* 3/16 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)) x))
#s(approx (/ (sqrt (- (* x x) 3)) 6) #s(hole binary64 (* -1 (* x (- (+ 1/6 (* -1 (/ (+ 3/16 (* 9/32 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (/ (sqrt (- (* x x) 3)) 6) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/32 binary64) (.f64 x x)) #s(literal -3/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x))

rewrite169.0ms (6.1%)

Memory

15.6MiB live, 247.9MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	108
0	36	108
1	383	106
2	4577	106
0	8459	106

Stop Event

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

Counts

13 → 428

Calls

Call 1

Inputs
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
#s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(*.f64 #s(literal 6 binary64) x)
#s(approx (sqrt (- (* x x) 3)) x)
(/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))

Outputs
(.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))) (neg.f64 (sqrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))))
(.f64 (sqrt.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) (sqrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(.f64 (pow.f64 (cbrt.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(.f64 (cbrt.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) (pow.f64 (cbrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(pow.f64 (sqrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal 3 binary64))
(pow.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal 1 binary64))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(cbrt.f64 (pow.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (/ (- ( (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))) (sinh.f64 (log.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))))
(log.f64 (exp.f64 #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 #s(literal 1/36 binary64))) (cbrt.f64 #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/6 binary64) x))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/6 binary64) x)))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 6 binary64)) x) (cbrt.f64 #s(literal 1296 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 6 binary64)) x) (cbrt.f64 #s(literal 36 binary64))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 6 binary64)) x) #s(literal 6 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 6 binary64)) x) #s(literal 6 binary64)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (cbrt.f64 #s(literal 1296 binary64))) (/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)) (cbrt.f64 #s(literal 36 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) #s(literal 6 binary64)) (/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 #s(literal 6 binary64) x) (cbrt.f64 #s(literal 1296 binary64))) (/.f64 x (cbrt.f64 #s(literal 36 binary64))))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 #s(literal 1296 binary64))) (/.f64 #s(literal 6 binary64) (cbrt.f64 #s(literal 36 binary64))))
(.f64 (/.f64 #s(literal 6 binary64) (cbrt.f64 #s(literal 1296 binary64))) (/.f64 (.f64 x x) (cbrt.f64 #s(literal 36 binary64))))
(.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 x (cbrt.f64 #s(literal 1296 binary64))) (/.f64 (.f64 #s(literal 6 binary64) x) (cbrt.f64 #s(literal 36 binary64))))
(.f64 (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (/.f64 x #s(literal 6 binary64)))
(.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(.f64 (neg.f64 (.f64 x (sqrt.f64 #s(literal 1/6 binary64)))) (neg.f64 (*.f64 x (sqrt.f64 #s(literal 1/6 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 6 binary64)) x) (/.f64 (*.f64 (sqrt.f64 #s(literal 6 binary64)) x) #s(literal 36 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (.f64 x (sqrt.f64 #s(literal 1/6 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/6 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (cbrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) x) x))
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(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 6 binary64) x)))
(.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 6 binary64)) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 6 binary64)) x)))
(.f64 (.f64 (sqrt.f64 #s(literal 6 binary64)) x) (*.f64 (sqrt.f64 #s(literal 6 binary64)) x))
(.f64 (sqrt.f64 (.f64 #s(literal 6 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 6 binary64) x)) x))
(.f64 (sqrt.f64 #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 6 binary64)) (*.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 6 binary64) x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)))
(.f64 (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))))
(.f64 (cbrt.f64 #s(literal 36 binary64)) (.f64 (cbrt.f64 #s(literal 6 binary64)) (*.f64 x x)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.f64 #s(literal 6 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 6 binary64) x)) x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 6 binary64) x) x))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 #s(literal 6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 6 binary64) x))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 6 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 #s(literal 6 binary64) x) x) #s(literal 1 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 6 binary64)) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 #s(literal 6 binary64) x) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 6 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 6 binary64))))
(+.f64 (cosh.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 6 binary64))) #s(literal 1 binary64))) (sinh.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 6 binary64))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 6 binary64)))) (sinh.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 6 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 6 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 6 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 x (cbrt.f64 #s(literal 36 binary64))) (cbrt.f64 #s(literal 6 binary64)))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 6 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 6 binary64) x))))
(.f64 (.f64 (sqrt.f64 #s(literal 6 binary64)) x) (sqrt.f64 #s(literal 6 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 6 binary64) x)) (sqrt.f64 (*.f64 #s(literal 6 binary64) x)))
(.f64 (sqrt.f64 #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 6 binary64)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 6 binary64)))
(.f64 (cbrt.f64 #s(literal 36 binary64)) (.f64 (cbrt.f64 #s(literal 6 binary64)) x))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 6 binary64) x)))
(.f64 (cbrt.f64 (.f64 #s(literal 6 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
(*.f64 x #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(cbrt.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 36 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 6 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 6 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 6 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 6 binary64) x)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 6 binary64) x))) (sinh.f64 (log.f64 (.f64 #s(literal 6 binary64) x))))
(log.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) x))
(.f64 (neg.f64 (sqrt.f64 #s(approx (sqrt (- ( x x) 3)) x))) (neg.f64 (sqrt.f64 #s(approx (sqrt (- (* x x) 3)) x))))
(.f64 (sqrt.f64 #s(approx (sqrt (- ( x x) 3)) x)) (sqrt.f64 #s(approx (sqrt (- (* x x) 3)) x)))
(.f64 (pow.f64 (cbrt.f64 #s(approx (sqrt (- ( x x) 3)) x)) #s(literal 2 binary64)) (cbrt.f64 #s(approx (sqrt (- (* x x) 3)) x)))
(.f64 (cbrt.f64 #s(approx (sqrt (- ( x x) 3)) x)) (pow.f64 (cbrt.f64 #s(approx (sqrt (- (* x x) 3)) x)) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( x x) 3)) x))
(pow.f64 (sqrt.f64 #s(approx (sqrt (- (* x x) 3)) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 #s(approx (sqrt (- (* x x) 3)) x)) #s(literal 3 binary64))
(pow.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 1 binary64))
#s(approx (sqrt (- (* x x) 3)) x)
(cbrt.f64 (pow.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (sqrt (- ( x x) 3)) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 #s(approx (sqrt (- ( x x) 3)) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (sqrt (- ( x x) 3)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (sqrt (- (* x x) 3)) x)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (sqrt (- ( x x) 3)) x)) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (sqrt (- ( x x) 3)) x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 #s(approx (sqrt (- (* x x) 3)) x))) (sinh.f64 (log.f64 #s(approx (sqrt (- (* x x) 3)) x))))
(log.f64 (exp.f64 #s(approx (sqrt (- (* x x) 3)) x)))
(.f64 (/.f64 (sqrt.f64 #s(approx (sqrt (- ( x x) 3)) x)) (cbrt.f64 #s(literal 36 binary64))) (/.f64 (sqrt.f64 #s(approx (sqrt (- (* x x) 3)) x)) (cbrt.f64 #s(literal 6 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 #s(approx (sqrt (- ( x x) 3)) x)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 6 binary64))) (/.f64 (cbrt.f64 #s(approx (sqrt (- (* x x) 3)) x)) (sqrt.f64 #s(literal 6 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 #s(approx (sqrt (- ( x x) 3)) x)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 36 binary64))) (cbrt.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))))
(.f64 (sqrt.f64 #s(approx (sqrt (- ( x x) 3)) x)) (/.f64 (sqrt.f64 #s(approx (sqrt (- (* x x) 3)) x)) #s(literal 6 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))))
(.f64 (pow.f64 (cbrt.f64 #s(approx (sqrt (- ( x x) 3)) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(approx (sqrt (- (* x x) 3)) x)) #s(literal 6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))))
(.f64 (cbrt.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64))) (pow.f64 (cbrt.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64)))
(pow.f64 (sqrt.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) (cbrt.f64 #s(literal 36 binary64))) (cbrt.f64 #s(literal 6 binary64)))
(/.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) (sqrt.f64 #s(literal 6 binary64))) (sqrt.f64 #s(literal 6 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (sqrt (- (* x x) 3)) x))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (sqrt (- (* x x) 3)) x)) #s(literal -6 binary64))
(/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 #s(approx (sqrt (- (* x x) 3)) x)) #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal -6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 3 binary64)) #s(literal 216 binary64)))
(cbrt.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64))) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( x x) 3)) x) #s(literal 6 binary64))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))) (sinh.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))))
(log.f64 (exp.f64 (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64))))

eval59.0ms (2.1%)

Memory: -2.4MiB live, 100.8MiB allocated; 25ms collecting garbage
Compiler: Compiled 10 542 to 1 662 computations (84.2% saved)

prune17.0ms (0.6%)

Memory

-12.3MiB live, 34.4MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	471	1	472
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	472	8	480

Accuracy

100.0%

Counts

480 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.6%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	46.6%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
	46.7%	(.f64 #s(approx (sqrt (- ( x x) 3)) x) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
✓	46.6%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	46.6%	#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	53.7%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 330 to 142 computations (57% saved)

regimes17.0ms (0.6%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#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)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(.f64 #s(approx (sqrt (- ( x x) 3)) x) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 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))
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 6 binary64))) (sqrt.f64 #s(literal 6 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))

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

Calls

4 calls:

5.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
4.0ms	(/.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)

regimes13.0ms (0.5%)

Memory

-23.2MiB live, 22.6MiB allocated; 4ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#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)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(.f64 #s(approx (sqrt (- ( x x) 3)) x) (/.f64 #s(approx (sqrt (- (* x x) 3)) x) #s(literal 6 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))

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

Calls

4 calls:

3.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`(*.f64 x x)`
99.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.8%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.3%)

Memory

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

Counts

5 → 1

Calls

Call 1

Inputs
#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)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(*.f64 x x)`
99.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.8%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#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)))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))
#s(approx (/ (- (* (* x x) 6) 18) 36) (.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) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 binary64))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.5%	2	`(*.f64 x x)`
98.5%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.5%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.5%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes30.0ms (1.1%)

Memory

-32.5MiB live, 14.5MiB allocated; 2ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#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)))

Outputs
#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)))

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
98.5%	2	`(*.f64 x x)`
98.5%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.5%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.5%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB 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
53.7%	1	`(*.f64 x x)`
53.7%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
53.7%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
53.7%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch43.0ms (1.5%)

Memory

-20.7MiB live, 31.8MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	0.6242984392147577	403.24994067973626

Samples

37.0ms

128×

valid

Compiler

Compiled 202 to 186 computations (7.9% saved)

Precisions

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

ival-sub: 1.0ms (36.6% of total)

ival-div: 1.0ms (36.6% of total)

ival-mult: 1.0ms (36.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.6242984392147577	403.24994067973626

Compiler

Compiled 186 to 170 computations (8.6% saved)

simplify56.0ms (2%)

Memory

7.6MiB live, 53.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	103
1	110	103
2	164	103
3	284	103
4	461	103
5	639	103
6	917	103
7	3075	103
8	6284	103

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 7746191359077253/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 7746191359077253/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* (* x x) 6) 18) 36) (.f64 x (.f64 x #s(literal 1/6 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 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

derivations160.0ms (5.8%)

Memory

-11.5MiB live, 224.9MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 103 to 33 computations (68% saved)

preprocess68.0ms (2.4%)

Memory: 15.4MiB live, 61.9MiB allocated; 4ms collecting garbage
Remove: (abs x)
Compiler: Compiled 244 to 96 computations (60.7% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	11	21
1	30	21
2	58	21
3	90	21
4	135	21
5	145	21
6	149	21
7	152	21
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

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	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Iter	Nodes	Cost
0	27	143
0	38	143
1	59	139
2	114	139
3	245	139
4	431	139
5	544	139
6	606	139
7	635	139
8	663	139
9	664	139
0	664	139

Iter	Nodes	Cost
0	25	116
0	36	116
1	55	114
2	91	114
3	170	114
4	272	114
5	359	114
6	389	114
7	417	114
8	451	114
9	485	114
0	485	114

Iter	Nodes	Cost
0	11	21
1	30	21
2	58	21
3	90	21
4	135	21
5	145	21
6	149	21
7	152	21
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

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	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Iter	Nodes	Cost
0	27	143
0	38	143
1	59	139
2	114	139
3	245	139
4	431	139
5	544	139
6	606	139
7	635	139
8	663	139
9	664	139
0	664	139

Iter	Nodes	Cost
0	25	116
0	36	116
1	55	114
2	91	114
3	170	114
4	272	114
5	359	114
6	389	114
7	417	114
8	451	114
9	485	114
0	485	114

start0.0ms (0%)

analyze0.0ms (0%)

sample798.0ms (28.6%)

explain80.0ms (2.9%)

preprocess45.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.2%)

localize39.0ms (1.4%)

series3.0ms (0.1%)

simplify87.0ms (3.1%)

rewrite147.0ms (5.3%)

eval28.0ms (1%)

prune13.0ms (0.5%)

simplify29.0ms (1.1%)

localize60.0ms (2.2%)

series8.0ms (0.3%)

simplify115.0ms (4.1%)

rewrite44.0ms (1.6%)

eval24.0ms (0.9%)

prune7.0ms (0.3%)

simplify19.0ms (0.7%)

localize55.0ms (2%)

series5.0ms (0.2%)

simplify111.0ms (4%)

rewrite87.0ms (3.1%)

eval58.0ms (2.1%)

prune5.0ms (0.2%)

simplify17.0ms (0.6%)

localize102.0ms (3.7%)

series5.0ms (0.2%)

simplify137.0ms (4.9%)

rewrite169.0ms (6.1%)

eval59.0ms (2.1%)

prune17.0ms (0.6%)

regimes17.0ms (0.6%)

regimes13.0ms (0.5%)

regimes7.0ms (0.3%)

regimes7.0ms (0.2%)

regimes30.0ms (1.1%)

regimes4.0ms (0.1%)

bsearch43.0ms (1.5%)

bsearch1.0ms (0%)

simplify56.0ms (2%)

derivations160.0ms (5.8%)

preprocess68.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	21
1	30	21
2	58	21
3	90	21
4	135	21
5	145	21
6	149	21
7	152	21
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

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	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Iter	Nodes	Cost
0	27	143
0	38	143
1	59	139
2	114	139
3	245	139
4	431	139
5	544	139
6	606	139
7	635	139
8	663	139
9	664	139
0	664	139

Iter	Nodes	Cost
0	25	116
0	36	116
1	55	114
2	91	114
3	170	114
4	272	114
5	359	114
6	389	114
7	417	114
8	451	114
9	485	114
0	485	114