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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

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)

sample577.0ms (16.4%)

Memory

22.1MiB live, 679.2MiB allocated

Samples

346.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 83.0ms (40.8% of total)

ival-div: 57.0ms (28% of total)

ival-sub: 48.0ms (23.6% of total)

exact: 8.0ms (3.9% of total)

ival-true: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain69.0ms (2%)

Memory

-12.9MiB live, 106.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 4.0ms (36.5% of total)

ival-div: 3.0ms (27.4% of total)

ival-sub: 2.0ms (18.3% of total)

exact: 1.0ms (9.1% of total)

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

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

preprocess18.0ms (0.5%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	293	14
5	374	14
6	403	14
7	411	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	16	18
2	22	18
3	24	18
0	24	16

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

localize18.0ms (0.5%)

Memory

-2.4MiB live, 35.7MiB allocated

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	0.03125	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

12.0ms

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 (38.7% of total)

ival-mult: 2.0ms (38.7% of total)

ival-sub: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

3 → 8

Calls

Call 1

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

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

Calls

3 calls:

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

simplify105.0ms (3%)

Memory

3.2MiB live, 77.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	43	34
2	106	34
3	244	34
4	769	34
5	1597	34
6	2339	34
7	3513	34
8	4249	34
9	5354	34
10	6409	34
11	7139	34
0	8052	30

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite203.0ms (5.8%)

Memory

-11.6MiB live, 193.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	42	15
2	230	15
3	1833	15
0	8165	13

Stop Event

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

Counts

3 → 507

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (pow.f64 (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 19683 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 9 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 19683 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 9 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 19683 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 81 binary64) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))))) (/.f64 #s(literal 19683 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 729 binary64) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 729 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x x #s(literal 3 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x x #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -6 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 x #s(literal 8 binary64)))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (.f64 #s(literal 6 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (.f64 #s(literal 6 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 6 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (.f64 x x))))) (/.f64 #s(literal 27 binary64) (.f64 #s(literal 6 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal 27 binary64) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64)) (pow.f64 x #s(literal 12 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 x x #s(literal 3 binary64)))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (neg.f64 (fma.f64 x x #s(literal 3 binary64)))) #s(literal -6 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 27 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal -6 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (.f64 x x)))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 27 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (.f64 x x)))) #s(literal 6 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 9 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 27 binary64) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 6 binary64)))
(-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) #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))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval57.0ms (1.6%)

Memory: 1.9MiB live, 110.7MiB allocated
Compiler: Compiled 13 576 to 1 590 computations (88.3% saved)

prune16.0ms (0.5%)

Memory

-10.7MiB live, 33.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	505	8	513
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	506	8	514

Accuracy

100.0%

Counts

514 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	49.0%	(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	100.0%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	99.9%	(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
▶	99.9%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
	63.2%	(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
	49.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	50.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 144 to 120 computations (16.7% saved)

simplify11.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	101
0	31	92
1	42	90
2	63	89
3	84	89
4	114	89
5	145	89
6	181	89
7	196	89
8	220	89
9	249	89
10	264	89
11	284	89
12	288	89
13	289	89
0	289	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.7%)

Memory

21.3MiB live, 96.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.14519501953688402	(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.2985730443401937	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	15.003258112467076	(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.03515625	(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
accuracy	0.07421875	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
accuracy	0.2979094066300564	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.07421875	(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
accuracy	31.2308672673688	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.03125	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Samples

24.0ms	126×	0	valid
24.0ms	130×	0	invalid

Compiler

Compiled 113 to 23 computations (79.6% saved)

Precisions

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

ival-div: 7.0ms (20.5% of total)

const: 7.0ms (20.5% of total)

ival-pow: 7.0ms (20.5% of total)

ival-mult: 5.0ms (14.6% of total)

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

ival-pow2: 2.0ms (5.9% of total)

ival-add: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

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

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

series10.0ms (0.3%)

Memory

-21.9MiB live, 13.3MiB allocated

Counts

10 → 44

Calls

Call 1

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

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
3
(+ 3 (* -1 (pow x 2)))
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(* -3 (pow (sqrt 1/6) 2))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(sqrt -1/2)
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* x (sqrt 1/6))
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(* -1 (* x (sqrt 1/6)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (* (+ (* x x) -3) 1/6) (pow (/ -1 (+ (* x x) -3)) -1) (* (pow (/ -1 (+ (* x x) -3)) -1) -1/6) (/ -1 (+ (* x x) -3)) (pow (pow (/ 6 (+ (* x x) -3)) -1/2) 2) (pow (/ 6 (+ (* x x) -3)) -1/2) (/ 6 (+ (* x x) -3)))
2.0ms	x	@	0	((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (* (+ (* x x) -3) 1/6) (pow (/ -1 (+ (* x x) -3)) -1) (* (pow (/ -1 (+ (* x x) -3)) -1) -1/6) (/ -1 (+ (* x x) -3)) (pow (pow (/ 6 (+ (* x x) -3)) -1/2) 2) (pow (/ 6 (+ (* x x) -3)) -1/2) (/ 6 (+ (* x x) -3)))
1.0ms	x	@	-inf	((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (* (+ (* x x) -3) 1/6) (pow (/ -1 (+ (* x x) -3)) -1) (* (pow (/ -1 (+ (* x x) -3)) -1) -1/6) (/ -1 (+ (* x x) -3)) (pow (pow (/ 6 (+ (* x x) -3)) -1/2) 2) (pow (/ 6 (+ (* x x) -3)) -1/2) (/ 6 (+ (* x x) -3)))

Time

Variable

Point

Expression

6.0ms

inf

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

2.0ms

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

1.0ms

-inf

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

simplify107.0ms (3.1%)

Memory

33.7MiB live, 153.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	494
1	412	475
2	1169	473
3	3014	456
0	8240	429

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
3
(+ 3 (* -1 (pow x 2)))
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(* -3 (pow (sqrt 1/6) 2))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(sqrt -1/2)
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* x (sqrt 1/6))
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(* -1 (* x (sqrt 1/6)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/9 (pow x 2)))
(fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) #s(literal 1/27 binary64)) (.f64 x x) #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* -3 (pow (sqrt 1/6) 2))
#s(literal -1/2 binary64)
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(sqrt -1/2)
(sqrt.f64 #s(literal -1/2 binary64))
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) (/.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1/2 binary64))) x) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/12 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3456 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/144 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 x x) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1/2 binary64)))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (fma.f64 #s(literal -2/9 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) (.f64 x x) #s(literal -2/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* (pow x 2) (pow (sqrt 1/6) 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* x (sqrt 1/6))
(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(-.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -3/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))) x))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 1/6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64)))) x (neg.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x)))
(/ 6 (pow x 2))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 18 binary64) (.f64 x x)))) (.f64 x x))
(* -1 (* x (sqrt 1/6)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/6 binary64)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(fma.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/6 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -3/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))) x)))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/6 binary64))) x (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x))

rewrite131.0ms (3.7%)

Memory

1.7MiB live, 159.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	73
0	31	64
1	109	61
2	538	61
0	4381	61

Stop Event

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

Counts

10 → 1 088

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) #s(literal -9/2 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 9 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) #s(literal -9/2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal -3/2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal -3/2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/8 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64)) (pow.f64 #s(literal 6 binary64) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64))) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (pow.f64 (-.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) #s(literal -9/2 binary64)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal -3/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/8 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/8 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -3/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -6 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1/6 binary64))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 #s(literal -1 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)))
(.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1/6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal -1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1/6 binary64)) (-.f64 #s(literal -3 binary64) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal -1/6 binary64)) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (-.f64 #s(literal -3 binary64) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1/6 binary64)) (-.f64 #s(literal -3 binary64) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal 1/6 binary64)) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) #s(literal -9/2 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
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(fma.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 x x) (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (.f64 #s(literal 3 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))))
(fma.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 x x)) (*.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (.f64 #s(literal 3 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal 9 binary64))))

eval107.0ms (3.1%)

Memory: -10.1MiB live, 184.9MiB allocated
Compiler: Compiled 18 816 to 2 617 computations (86.1% saved)

prune19.0ms (0.5%)

Memory

6.6MiB live, 50.4MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	925	5	930
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	930	8	938

Accuracy

100.0%

Counts

938 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	49.5%	(pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64))
▶	49.7%	(/.f64 #s(approx (+ (* x x) -3) (*.f64 x x)) #s(literal 6 binary64))
✓	99.9%	(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
	63.2%	(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 1/6 binary64))
▶	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/6 binary64))
▶	49.6%	(.f64 #s(approx (+ ( x x) -3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	50.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 147 to 121 computations (17.7% saved)

simplify11.0ms (0.3%)

Memory

-27.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	128
0	41	122
1	56	121
2	75	121
3	105	121
4	137	121
5	175	121
6	191	121
7	215	121
8	241	121
9	254	121
10	271	121
11	276	121
0	276	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (1.8%)

Memory

38.6MiB live, 76.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 1/6 binary64))
accuracy	0.00390625	(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
accuracy	0.14519501953688402	(pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64))
accuracy	0.5304844792507134	#s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.07421875	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/6 binary64))
accuracy	0.2979094066300564	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.03125	(/.f64 #s(approx (+ (* x x) -3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	0.5509386321724052	#s(approx (+ (* x x) -3) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.07421875	(.f64 #s(approx (+ ( x x) -3) (*.f64 x x)) #s(literal 1/6 binary64))
accuracy	0.5509386321724052	#s(approx (+ (* x x) -3) (*.f64 x x))
accuracy	0.0546875	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.15234375	(*.f64 x #s(literal 1/6 binary64))

Samples

26.0ms	126×	0	valid
22.0ms	130×	0	invalid

Compiler

Compiled 115 to 26 computations (77.4% saved)

Precisions

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

ival-mult: 9.0ms (26.1% of total)

const: 9.0ms (26.1% of total)

ival-div: 6.0ms (17.4% of total)

ival-pow2: 3.0ms (8.7% of total)

ival-pow: 3.0ms (8.7% of total)

ival-add: 2.0ms (5.8% of total)

ival-sqrt: 2.0ms (5.8% of total)

exact: 1.0ms (2.9% of total)

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

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

series7.0ms (0.2%)

Memory

-30.0MiB live, 8.0MiB allocated

Counts

14 → 37

Calls

Call 1

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

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 x)
-3
(- (pow x 2) 3)
(pow x 2)
3
(+ 3 (* -1 (pow x 2)))
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(* -3 (pow (sqrt 1/6) 2))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(sqrt -1/2)
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
(* x (sqrt 1/6))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(* -1 (* x (sqrt 1/6)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify215.0ms (6.1%)

Memory

49.2MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	401
1	346	382
2	1027	380
3	2726	363
4	7779	363
0	8255	340

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 x)
-3
(- (pow x 2) 3)
(pow x 2)
3
(+ 3 (* -1 (pow x 2)))
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(* -3 (pow (sqrt 1/6) 2))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(sqrt -1/2)
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
(* x (sqrt 1/6))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(* -1 (* x (sqrt 1/6)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/9 (pow x 2)))
(fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) #s(literal 1/27 binary64)) (.f64 x x) #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* -3 (pow (sqrt 1/6) 2))
#s(literal -1/2 binary64)
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(sqrt -1/2)
(sqrt.f64 #s(literal -1/2 binary64))
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) (/.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1/2 binary64))) x) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/12 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3456 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/144 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 x x) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1/2 binary64)))
(* x (sqrt 1/6))
(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* (pow x 2) (pow (sqrt 1/6) 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -3/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))) x))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 1/6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(* -1 (* x (sqrt 1/6)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/6 binary64)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -3/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))) x)))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/6 binary64))) x (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x))

rewrite231.0ms (6.6%)

Memory

-30.9MiB live, 140.0MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	102
0	41	96
1	126	95
2	564	95
3	4149	93
0	8095	93

Stop Event

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

Counts

14 → 706

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 #s(literal -1/12 binary64) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 3 binary64) (.f64 x x))))
(.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal -6 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 (sqrt.f64 (-.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal -1/6 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1/6 binary64))
(.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (exp.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))))
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
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(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x x #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -3 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -3 binary64))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(fma.f64 x x #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -3 binary64) (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 x x #s(literal -3 binary64))))
(+.f64 (neg.f64 (*.f64 (neg.f64 x) x)) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -3 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -3 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(+.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 #s(literal -3 binary64) (.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
(.f64 (pow.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 3/2 binary64)) (sqrt.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(.f64 (sqrt.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))) (pow.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 3/2 binary64)))
(.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(pow.f64 (.f64 (pow.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64)) (pow.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(pow.f64 (sqrt.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))) #s(literal 4 binary64))
(pow.f64 (pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))))
(exp.f64 (.f64 (log.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))) (sqrt.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))))
(pow.f64 (sqrt.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))
#s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))
(sqrt.f64 (pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(.f64 (.f64 x (pow.f64 #s(literal 1/36 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/36 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 1/6 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/6 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/36 binary64) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/6 binary64)))
(pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/6 binary64))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/6 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 1/6 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

eval106.0ms (3%)

Memory: 15.6MiB live, 103.2MiB allocated
Compiler: Compiled 10 337 to 1 874 computations (81.9% saved)

prune34.0ms (1%)

Memory

-6.1MiB live, 29.9MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	572	2	574
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	574	8	582

Accuracy

100.0%

Counts

582 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	49.7%	(/.f64 #s(approx (+ (* x x) -3) (*.f64 x x)) #s(literal 6 binary64))
✓	99.9%	(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/6 binary64))
▶	50.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ ( x x) -3)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal -1/6 binary64))
▶	49.5%	(.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
✓	49.6%	(.f64 #s(approx (+ ( x x) -3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	50.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 105 to 73 computations (30.5% saved)

simplify84.0ms (2.4%)

Memory

-9.2MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	153
0	35	151
1	50	151
2	63	151
3	81	151
4	99	151
5	134	151
6	194	151
7	316	151
8	515	151
9	1044	151
10	1848	151
11	2065	151
12	2129	151
13	2162	151
14	2197	151
15	2213	151
16	2215	151
17	2215	151
0	2215	145

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (2.2%)

Memory

-19.1MiB live, 67.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
accuracy	0.07421875	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ ( x x) -3)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal -1/6 binary64))
accuracy	0.2661738815881419	#s(approx (/ -1 (+ (* x x) -3)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))
accuracy	0.2946668382827853	(/.f64 #s(literal -3 binary64) (*.f64 x x))
accuracy	0.0	(sqrt.f64 #s(literal 1/6 binary64))
accuracy	0.00390625	(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
accuracy	0.14519501953688402	(.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
accuracy	0.5304844792507134	#s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))

Samples

34.0ms	130×	0	invalid
22.0ms	126×	0	valid

Compiler

Compiled 104 to 24 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 21.0ms (46.7% of total)

ival-div: 9.0ms (20% of total)

const: 7.0ms (15.6% of total)

ival-pow: 3.0ms (6.7% of total)

ival-sqrt: 2.0ms (4.5% of total)

ival-add: 1.0ms (2.2% of total)

ival-sub: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series6.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

9 → 35

Calls

Call 1

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

Outputs
(* -3 (pow (sqrt 1/6) 2))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(sqrt -1/2)
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
(* x (sqrt 1/6))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
3
(+ 3 (* -1 (pow x 2)))
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(/ -3 (pow x 4))
(/ (- (* -1 (pow x 2)) 3) (pow x 4))
(/ -3 (pow x 2))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (* x (sqrt 1/6)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify124.0ms (3.5%)

Memory

30.8MiB live, 142.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	420
1	343	384
2	1018	380
3	2717	363
4	7061	363
0	8094	341

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
(* -3 (pow (sqrt 1/6) 2))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(sqrt -1/2)
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
(* x (sqrt 1/6))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
3
(+ 3 (* -1 (pow x 2)))
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(/ -3 (pow x 4))
(/ (- (* -1 (pow x 2)) 3) (pow x 4))
(/ -3 (pow x 2))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (* x (sqrt 1/6)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))

Outputs
(* -3 (pow (sqrt 1/6) 2))
#s(literal -1/2 binary64)
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(sqrt -1/2)
(sqrt.f64 #s(literal -1/2 binary64))
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) (/.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1/2 binary64))) x) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/12 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3456 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/144 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 x x) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1/2 binary64)))
(* x (sqrt 1/6))
(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/9 (pow x 2)))
(fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) #s(literal 1/27 binary64)) (.f64 x x) #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(/ -3 (pow x 4))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (pow x 2)) 3) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal -3 binary64) x) x) (pow.f64 x #s(literal 3 binary64)))
(/ -3 (pow x 2))
(/.f64 (/.f64 #s(literal -3 binary64) x) x)
(* (pow x 2) (pow (sqrt 1/6) 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -3/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))) x))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 1/6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 (/.f64 #s(literal -3 binary64) x) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(-.f64 (/.f64 (-.f64 #s(literal -9 binary64) (/.f64 #s(literal 27 binary64) (.f64 x x))) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* x (sqrt 1/6)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/6 binary64)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -3/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))) x)))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/6 binary64))) x (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x))

rewrite198.0ms (5.6%)

Memory

-24.7MiB live, 137.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	35	113
1	126	113
2	737	105
0	8468	100

Stop Event

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

Counts

9 → 265

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (log.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))) (exp.f64 (log.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))))
(.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
(pow.f64 (exp.f64 (log.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))) #s(literal 2 binary64)))
(.f64 (pow.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 1/2 binary64)))
(pow.f64 #s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))
#s(approx (pow (/ 6 (+ (* x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))
(exp.f64 (.f64 (log.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x))) #s(literal 1 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 1/6 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/6 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/6 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1/6 binary64) (neg.f64 #s(approx (/ -1 (+ ( x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 #s(approx (/ -1 (+ (* x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ -1 (+ (* x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ -1 (+ ( x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (.f64 (pow.f64 #s(approx (/ -1 (+ ( x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal -1/6 binary64) #s(approx (/ -1 (+ ( x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal -1/6 binary64) (pow.f64 #s(approx (/ -1 (+ ( x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (/ -1 (+ ( x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64))))) #s(literal -1/6 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) #s(approx (/ -1 (+ ( x x) -3)) (-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64))))))
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(fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 x x)) (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 x x)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal -2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal -3 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -3 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -3 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -4 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -4 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -4 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 x x)) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x x)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)))) (.f64 x x)) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) x))
(.f64 #s(literal 3 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (.f64 x x)))
(*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 3 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal -3 binary64) x) x)
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
(/.f64 #s(literal -3 binary64) (*.f64 x x))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal -1 binary64)))

eval52.0ms (1.5%)

Memory: 13.3MiB live, 94.7MiB allocated
Compiler: Compiled 9 288 to 1 427 computations (84.6% saved)

prune10.0ms (0.3%)

Memory

-9.2MiB live, 29.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	324	0	324
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	324	8	332

Accuracy

100.0%

Counts

332 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	49.7%	(/.f64 #s(approx (+ (* x x) -3) (*.f64 x x)) #s(literal 6 binary64))
✓	99.9%	(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/6 binary64))
✓	50.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ ( x x) -3)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal -1/6 binary64))
✓	49.5%	(.f64 #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)) #s(approx (pow (/ 6 (+ ( x x) -3)) -1/2) (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)))
✓	49.6%	(.f64 #s(approx (+ ( x x) -3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	50.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 296 to 138 computations (53.4% saved)

regimes21.0ms (0.6%)

Memory

2.0MiB live, 40.0MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
5.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
100.0%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes9.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 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
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes27.0ms (0.8%)

Memory

-79.9MiB live, 12.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.7%	2	`x`
98.7%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.7%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.7%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

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

Results

Accuracy	Segments	Branch
50.8%	1	`x`
50.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
50.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
50.8%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch10.0ms (0.3%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1278095789053968	739.6076173326499

Samples

4.0ms

128×

valid

Compiler

Compiled 170 to 162 computations (4.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (57.3% of total)

ival-div: 1.0ms (57.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify186.0ms (5.3%)

Memory

-6.3MiB live, 72.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	25	55
2	34	55
3	47	55
4	77	55
5	120	55
6	220	55
7	646	55
8	2152	55
9	6798	55

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness484.0ms (13.8%)

Memory

0.6MiB live, 240.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	42	15
2	230	15
3	1833	15
0	8165	13
0	19	34
1	43	34
2	106	34
3	244	34
4	769	34
5	1597	34
6	2339	34
7	3513	34
8	4249	34
9	5354	34
10	6409	34
11	7139	34
0	8052	30

Stop Event

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

Compiler

Compiled 101 to 59 computations (41.6% saved)

preprocess33.0ms (0.9%)

Memory: -10.6MiB live, 64.1MiB allocated
Remove: (abs x)
Compiler: Compiled 136 to 66 computations (51.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	293	14
5	374	14
6	403	14
7	411	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

Iter	Nodes	Cost
0	22	101
0	31	92
1	42	90
2	63	89
3	84	89
4	114	89
5	145	89
6	181	89
7	196	89
8	220	89
9	249	89
10	264	89
11	284	89
12	288	89
13	289	89
0	289	89

Iter	Nodes	Cost
0	27	128
0	41	122
1	56	121
2	75	121
3	105	121
4	137	121
5	175	121
6	191	121
7	215	121
8	241	121
9	254	121
10	271	121
11	276	121
0	276	121

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	293	14
5	374	14
6	403	14
7	411	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

Iter	Nodes	Cost
0	22	101
0	31	92
1	42	90
2	63	89
3	84	89
4	114	89
5	145	89
6	181	89
7	196	89
8	220	89
9	249	89
10	264	89
11	284	89
12	288	89
13	289	89
0	289	89

Iter	Nodes	Cost
0	27	128
0	41	122
1	56	121
2	75	121
3	105	121
4	137	121
5	175	121
6	191	121
7	215	121
8	241	121
9	254	121
10	271	121
11	276	121
0	276	121

start0.0ms (0%)

analyze0.0ms (0%)

sample577.0ms (16.4%)

explain69.0ms (2%)

preprocess18.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.5%)

series2.0ms (0.1%)

simplify105.0ms (3%)

rewrite203.0ms (5.8%)

eval57.0ms (1.6%)

prune16.0ms (0.5%)

simplify11.0ms (0.3%)

localize61.0ms (1.7%)

series10.0ms (0.3%)

simplify107.0ms (3.1%)

rewrite131.0ms (3.7%)

eval107.0ms (3.1%)

prune19.0ms (0.5%)

simplify11.0ms (0.3%)

localize62.0ms (1.8%)

series7.0ms (0.2%)

simplify215.0ms (6.1%)

rewrite231.0ms (6.6%)

eval106.0ms (3%)

prune34.0ms (1%)

simplify84.0ms (2.4%)

localize77.0ms (2.2%)

series6.0ms (0.2%)

simplify124.0ms (3.5%)

rewrite198.0ms (5.6%)

eval52.0ms (1.5%)

prune10.0ms (0.3%)

regimes21.0ms (0.6%)

regimes9.0ms (0.3%)

regimes27.0ms (0.8%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch10.0ms (0.3%)

simplify186.0ms (5.3%)

soundness484.0ms (13.8%)

preprocess33.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	293	14
5	374	14
6	403	14
7	411	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

Iter	Nodes	Cost
0	22	101
0	31	92
1	42	90
2	63	89
3	84	89
4	114	89
5	145	89
6	181	89
7	196	89
8	220	89
9	249	89
10	264	89
11	284	89
12	288	89
13	289	89
0	289	89

Iter	Nodes	Cost
0	27	128
0	41	122
1	56	121
2	75	121
3	105	121
4	137	121
5	175	121
6	191	121
7	215	121
8	241	121
9	254	121
10	271	121
11	276	121
0	276	121