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

0.5MiB live, 0.5MiB 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)

sample548.0ms (15.8%)

Memory

-14.3MiB live, 927.2MiB allocated

Samples

336.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 83.0ms (42.7% of total)

ival-div: 56.0ms (28.8% of total)

ival-sub: 39.0ms (20.1% of total)

exact: 8.0ms (4.1% of total)

ival-true: 5.0ms (2.6% of total)

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

Bogosity

explain84.0ms (2.4%)

Memory

38.1MiB live, 155.5MiB 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

23.0ms

512×

valid

Compiler

Compiled 83 to 38 computations (54.2% saved)

Precisions

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

ival-mult: 4.0ms (35.7% of total)

ival-div: 3.0ms (26.8% of total)

ival-sub: 2.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess21.0ms (0.6%)

Memory

-4.5MiB live, 37.0MiB 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	292	14
5	371	14
6	397	14
7	405	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

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	128	(-.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

-14.8MiB live, 24.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.05078125	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (38.4% of total)

ival-mult: 2.0ms (38.4% of total)

ival-sub: 1.0ms (19.2% 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

2.9MiB live, 2.9MiB 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))

simplify138.0ms (4%)

Memory

-10.7MiB live, 64.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	43	34
2	98	34
3	236	34
4	759	34
5	1590	34
6	2334	34
7	3513	34
8	4233	34
9	5340	34
10	6393	34
11	7123	34
0	8036	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 #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))
(* 1/6 (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))

rewrite203.0ms (5.8%)

Memory

30.6MiB live, 182.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13

Stop Event

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

Counts

3 → 516

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 (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)))

eval105.0ms (3%)

Memory: -37.1MiB live, 89.7MiB allocated
Compiler: Compiled 14 399 to 1 652 computations (88.5% saved)

prune12.0ms (0.3%)

Memory

28.7MiB live, 28.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	514	8	522
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	515	8	523

Accuracy

100.0%

Counts

523 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	99.8%	(fma.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
	64.6%	(/.f64 (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))))) #s(literal 6 binary64))
▶	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	61.3%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
	50.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	50.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 162 to 128 computations (21% saved)

simplify79.0ms (2.3%)

Memory

-17.3MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
cost-diff	5952	(fma.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
cost-diff	128	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
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))
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	384	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	91
0	40	90
1	64	89
2	99	89
3	123	89
4	156	89
5	220	89
6	298	89
7	396	89
8	583	89
9	1094	89
10	1663	89
11	2153	89
12	2327	89
13	3068	89
14	3088	89
15	3107	89
16	3113	89
17	3119	89
0	3119	88

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

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

localize94.0ms (2.7%)

Memory

-7.0MiB live, 73.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.08984375	(fma.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
accuracy	0.31072635669710125	(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	0.046875	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	21.215619332933095	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
accuracy	0.0703125	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.328125	(*.f64 x #s(literal 1/6 binary64))
accuracy	31.768907005921335	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.05078125	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Samples

62.0ms

256×

valid

Compiler

Compiled 189 to 57 computations (69.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 17.0ms (38.9% of total)

ival-mult: 8.0ms (18.3% of total)

ival-pow: 8.0ms (18.3% of total)

ival-div: 5.0ms (11.4% of total)

const: 4.0ms (9.1% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series6.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

12 → 18

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

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(* 1/6 x)
-9
(- (pow x 4) 9)
(pow x 4)
18
(+ 18 (* 6 (pow x 2)))
(pow x 2)
(/ 1 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6) (+ (* 1/6 (pow (pow x -2) -1)) -1/2) (pow (pow x -2) -1) (pow x -2))
2.0ms	x	@	inf	((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6) (+ (* 1/6 (pow (pow x -2) -1)) -1/2) (pow (pow x -2) -1) (pow x -2))
2.0ms	x	@	0	((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6) (+ (* 1/6 (pow (pow x -2) -1)) -1/2) (pow (pow x -2) -1) (pow x -2))

Time

Variable

Point

Expression

2.0ms

-inf

((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6) (+ (* 1/6 (pow (pow x -2) -1)) -1/2) (pow (pow x -2) -1) (pow x -2))

2.0ms

inf

((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6) (+ (* 1/6 (pow (pow x -2) -1)) -1/2) (pow (pow x -2) -1) (pow x -2))

2.0ms

((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6) (+ (* 1/6 (pow (pow x -2) -1)) -1/2) (pow (pow x -2) -1) (pow x -2))

simplify145.0ms (4.2%)

Memory

7.3MiB live, 77.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	76
1	83	76
2	183	76
3	415	76
4	907	76
5	1554	76
6	2266	76
7	3223	76
8	3838	76
9	4763	76
10	6537	76
11	7687	76
0	8116	70

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(* 1/6 x)
-9
(- (pow x 4) 9)
(pow x 4)
18
(+ 18 (* 6 (pow x 2)))
(pow x 2)
(/ 1 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-9
#s(literal -9 binary64)
(- (pow x 4) 9)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
18
#s(literal 18 binary64)
(+ 18 (* 6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 6 (pow x 2))
(.f64 (.f64 x x) #s(literal 6 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))

rewrite244.0ms (7%)

Memory

17.7MiB live, 169.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	70
0	40	59
1	174	59
2	1050	59
0	8972	59

Stop Event

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

Counts

12 → 1 454

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

Outputs
(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 1/6 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 #s(literal 9 binary64) (fma.f64 (*.f64 x x) #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 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 (.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 (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 (-.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)))) (/.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 #s(literal -1 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -6 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) #s(literal 6 binary64)) (/.f64 (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 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) #s(literal 6 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 3 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 (/.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (-.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 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/6 binary64)))
(.f64 (/.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 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) #s(literal -3 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)) #s(literal 1/6 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 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/6 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 (.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) (-.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) x))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (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)) #s(literal 1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 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 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (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)))))))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 54 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 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 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 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 1/6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 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 12 binary64)) #s(literal 729 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #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 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 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 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #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 #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 #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)))
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(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))

eval148.0ms (4.3%)

Memory: -20.7MiB live, 101.6MiB allocated
Compiler: Compiled 13 047 to 1 781 computations (86.3% saved)

prune12.0ms (0.3%)

Memory

32.1MiB live, 32.1MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	600	4	604
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	604	8	612

Accuracy

100.0%

Counts

612 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
▶	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
▶	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
▶	72.5%	(fma.f64 (.f64 x x) (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
✓	99.8%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	50.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	50.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 139 to 100 computations (28.1% saved)

simplify146.0ms (4.2%)

Memory

-24.3MiB live, 64.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	-5504	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	5824	(pow.f64 x #s(literal 1/2 binary64))
cost-diff	6720	(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(fma.f64 x x #s(literal 3 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	-384	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
cost-diff	0	(/.f64 #s(literal 6 binary64) x)
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
cost-diff	-384	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
cost-diff	384	(/.f64 x #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	140
0	48	128
1	90	127
2	164	125
3	407	123
4	1095	123
5	1399	123
6	1848	123
7	1960	122
8	2325	122
9	2832	122
10	3243	122
11	3793	122
12	4493	122
13	5449	122
14	6653	122
15	7126	122
16	7401	122
17	7738	122
0	8043	120

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
x
#s(literal 6 binary64)
#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) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x
#s(literal -1/2 binary64)
(fma.f64 (.f64 x x) (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 x x)
x
(.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) x))
(/.f64 x (fma.f64 #s(literal 6 binary64) x (/.f64 #s(literal 18 binary64) x)))
(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64)))
#s(literal -3/2 binary64)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)

localize78.0ms (2.2%)

Memory

-0.6MiB live, 114.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 1/2 binary64))
accuracy	0.0625	(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
accuracy	0.21484375	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) x))
accuracy	0.328125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.21317124338420976	(/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64)))
accuracy	0.28125	(.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) x))
accuracy	0.328125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	16.317228973799526	(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.0703125	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.19921875	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	31.454718534791187	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.0703125	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Samples

59.0ms

256×

valid

Compiler

Compiled 286 to 62 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 20.0ms (47% of total)

ival-div: 10.0ms (23.5% of total)

ival-add: 5.0ms (11.8% of total)

const: 4.0ms (9.4% of total)

ival-sqrt: 2.0ms (4.7% of total)

ival-sub: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

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

series10.0ms (0.3%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

16 → 41

Calls

Call 1

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

Outputs
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(pow x 2)
(/ 6 x)
(* 1/3 x)
(* x (+ 1/3 (* -1/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
3
(+ 3 (pow x 2))
(sqrt x)
(* 1/6 (sqrt (pow x 3)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ 1 x)
(/ (- 1 (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x)
(* (pow x 2) (+ 1 (* 3 (/ 1 (pow x 2)))))
1/6
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(/ -3/2 (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x))
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x))
(* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x))
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (- (* -1/6 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify121.0ms (3.5%)

Memory

-11.7MiB live, 146.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	393
1	372	393
2	939	393
3	2448	393
4	5309	393
0	8198	371

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

Inputs
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(pow x 2)
(/ 6 x)
(* 1/3 x)
(* x (+ 1/3 (* -1/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
3
(+ 3 (pow x 2))
(sqrt x)
(* 1/6 (sqrt (pow x 3)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(/ 1 x)
(/ (- 1 (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x)
(* (pow x 2) (+ 1 (* 3 (/ 1 (pow x 2)))))
1/6
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(/ -3/2 (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x))
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x))
(* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x))
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (- (* -1/6 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Outputs
(* 1/6 x)
(*.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))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/9 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/9 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(.f64 (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)) x)
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
(.f64 (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)) x)
3
#s(literal 3 binary64)
(+ 3 (pow x 2))
(fma.f64 x x #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
(* 1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* 1/18 (pow x 2))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/54 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/162 binary64) (.f64 x x) #s(literal -1/54 binary64)) (.f64 x x) #s(literal 1/18 binary64)) x) x)
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/486 binary64) (.f64 x x) #s(literal 1/162 binary64)) (.f64 x x) #s(literal -1/54 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/54 binary64) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 3 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* (pow x 2) (+ 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 3 binary64))
1/6
#s(literal 1/6 binary64)
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 9/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) x) x)
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1/6 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* -1/6 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))

rewrite169.0ms (4.9%)

Memory

-9.4MiB live, 270.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	97
0	45	85
1	178	84
2	1060	83
0	8361	83

Stop Event

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

Counts

16 → 1 283

Calls

Call 1

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

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

eval140.0ms (4%)

Memory: -4.6MiB live, 266.4MiB allocated
Compiler: Compiled 25 789 to 3 091 computations (88% saved)

prune20.0ms (0.6%)

Memory

-12.1MiB live, 63.9MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 075	3	1 078
Fresh	0	0	0
Picked	3	2	5
Done	1	2	3
Total	1 079	7	1 086

Accuracy

100.0%

Counts

1 086 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.8%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	50.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
▶	50.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
▶	50.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	50.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	50.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 73 to 58 computations (20.5% saved)

simplify4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (*.f64 x x) #s(literal 6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
cost-diff	0	(/.f64 #s(literal 6 binary64) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
cost-diff	384	(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	69
0	22	69
1	34	69
2	39	69
3	40	69
0	40	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (1.1%)

Memory

-13.9MiB live, 70.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.109375	(/.f64 (*.f64 x x) #s(literal 6 binary64))
accuracy	31.454718534791187	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.1015625	(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy	31.454718534791187	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
accuracy	0.12890625	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.328125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	31.454718534791187	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Samples

26.0ms

256×

valid

Compiler

Compiled 122 to 31 computations (74.6% saved)

Precisions

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

ival-div: 7.0ms (39.9% of total)

ival-mult: 5.0ms (28.5% of total)

const: 4.0ms (22.8% of total)

ival-sub: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

9 → 7

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify93.0ms (2.7%)

Memory

8.3MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	31	29
2	60	29
3	133	29
4	375	29
5	717	29
6	1174	29
7	2188	29
8	3642	29
9	4737	29
10	5679	29
11	6833	29
0	8027	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite179.0ms (5.1%)

Memory

-16.2MiB live, 176.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	22	63
1	75	63
2	341	63
3	2655	63
0	8838	60

Stop Event

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

Counts

9 → 260

Calls

Call 1

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

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))
(.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))) #s(literal 6 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 x (/.f64 #s(literal -1 binary64) x)))) (.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -6 binary64) x) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (/.f64 #s(literal -6 binary64) x) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -6 binary64) x) x)) (.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 (/.f64 #s(literal -6 binary64) x) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -6 binary64) x) (.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) (neg.f64 x))) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -6 binary64) x) (.f64 x x))) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (/.f64 #s(literal -6 binary64) x) x)) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) #s(literal -6 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -6 binary64) x) x))
(/.f64 (*.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -6 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(neg.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(exp.f64 (-.f64 (log.f64 (.f64 #s(literal 1/6 binary64) x)) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/6 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
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eval15.0ms (0.4%)

Memory: 21.1MiB live, 21.1MiB allocated
Compiler: Compiled 2 438 to 486 computations (80.1% saved)

prune8.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	0	0
Picked	0	3	3
Done	1	3	4
Total	148	7	155

Accuracy

100.0%

Counts

155 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	50.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
✓	50.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
	50.7%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	50.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	50.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	50.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 266 to 127 computations (52.3% saved)

regimes46.0ms (1.3%)

Memory

-16.4MiB live, 34.4MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	(*.f64 x x)
5.0ms	x
4.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`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)

regimes15.0ms (0.4%)

Memory

-17.9MiB live, 17.7MiB 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)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.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:

7.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB 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)))

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

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

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB 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
50.4%	1	`x`
50.4%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
50.4%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
50.4%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.021777837937796e-7	24168839782895.625

Compiler

Compiled 10 to 10 computations (0% saved)

simplify24.0ms (0.7%)

Memory

8.7MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	22	49

Stop Event

1×

saturated

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))
(if (<=.f64 (.f64 x x) #s(literal 4722366482869645/4722366482869645213696 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))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 4722366482869645/4722366482869645213696 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))))
(if (<=.f64 (.f64 x x) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

soundness465.0ms (13.4%)

Memory

-27.4MiB live, 214.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	43	34
2	98	34
3	236	34
4	759	34
5	1590	34
6	2334	34
7	3513	34
8	4233	34
9	5340	34
10	6393	34
11	7123	34
0	8036	30
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13

Stop Event

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

Compiler

Compiled 82 to 48 computations (41.5% saved)

preprocess29.0ms (0.8%)

Memory: 5.7MiB live, 42.0MiB allocated
Remove: (abs x)
Compiler: Compiled 136 to 74 computations (45.6% 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	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

start0.0ms (0%)

analyze0.0ms (0%)

sample548.0ms (15.8%)

explain84.0ms (2.4%)

preprocess21.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.5%)

series2.0ms (0.1%)

simplify138.0ms (4%)

rewrite203.0ms (5.8%)

eval105.0ms (3%)

prune12.0ms (0.3%)

simplify79.0ms (2.3%)

localize94.0ms (2.7%)

series6.0ms (0.2%)

simplify145.0ms (4.2%)

rewrite244.0ms (7%)

eval148.0ms (4.3%)

prune12.0ms (0.3%)

simplify146.0ms (4.2%)

localize78.0ms (2.2%)

series10.0ms (0.3%)

simplify121.0ms (3.5%)

rewrite169.0ms (4.9%)

eval140.0ms (4%)

prune20.0ms (0.6%)

simplify4.0ms (0.1%)

localize37.0ms (1.1%)

series3.0ms (0.1%)

simplify93.0ms (2.7%)

rewrite179.0ms (5.1%)

eval15.0ms (0.4%)

prune8.0ms (0.2%)

regimes46.0ms (1.3%)

regimes15.0ms (0.4%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify24.0ms (0.7%)

soundness465.0ms (13.4%)

preprocess29.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6