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)

sample1.3s (31.9%)

Memory

-92.5MiB live, 737.0MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 502.0ms

ival-mult: 296.0ms (58.9% of total)

ival-sub: 133.0ms (26.5% of total)

ival-div: 54.0ms (10.8% of total)

exact: 8.0ms (1.6% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 5.0ms (1% of total)

Bogosity

explain66.0ms (1.6%)

Memory

6.8MiB live, 123.2MiB 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 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (34% of total)

ival-sub: 3.0ms (25.5% of total)

ival-div: 3.0ms (25.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess25.0ms (0.6%)

Memory

-20.1MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.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

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.4%)

Memory

-5.8MiB live, 33.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.09765625	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (46% of total)

ival-mult: 2.0ms (30.7% of total)

ival-sub: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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))

simplify109.0ms (2.6%)

Memory

-8.7MiB live, 110.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite209.0ms (5.1%)

Memory

-0.2MiB live, 191.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 507

Calls

Call 1

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

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

eval94.0ms (2.3%)

Memory: -10.6MiB live, 111.2MiB allocated
Compiler: Compiled 13 576 to 1 590 computations (88.3% saved)

prune11.0ms (0.3%)

Memory

28.7MiB live, 28.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	504	9	513
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	505	9	514

Accuracy

100.0%

Counts

514 → 9

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))
	47.4%	(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	99.8%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	66.4%	(/.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)))
	66.4%	(/.f64 (*.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)))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	99.9%	(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
	48.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	51.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 164 to 138 computations (15.9% saved)

simplify107.0ms (2.6%)

Memory

-15.9MiB live, 23.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	92
0	36	89
1	61	89
2	97	89
3	122	89
4	154	89
5	226	89
6	303	89
7	403	89
8	592	89
9	1134	89
10	1715	89
11	2162	89
12	2341	89
13	3107	89
14	3151	89
15	3183	89
16	3205	89
17	3307	89
18	3538	89
19	3584	89
20	3588	89
21	3588	89
0	3588	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 1/6 binary64))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 1/6 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 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal 6 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.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)

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

localize58.0ms (1.4%)

Memory

23.5MiB live, 61.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	0.09765625	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	18.626385496118328	(/.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	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.2497109782719354	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.0546875	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.33984375	(*.f64 x #s(literal 1/6 binary64))
accuracy	31.22667310097978	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.09375	(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))

Samples

43.0ms

256×

valid

Compiler

Compiled 101 to 26 computations (74.3% saved)

Precisions

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

ival-mult: 8.0ms (29.2% of total)

ival-div: 6.0ms (21.9% of total)

ival-add: 4.0ms (14.6% of total)

const: 4.0ms (14.6% of total)

ival-pow: 3.0ms (10.9% of total)

ival-sub: 2.0ms (7.3% of total)

exact: 1.0ms (3.6% of total)

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

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

series36.0ms (0.9%)

Memory

-30.7MiB live, 7.6MiB allocated

Counts

11 → 25

Calls

Call 1

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

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(* 1/6 x)
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
-9
(- (pow x 4) 9)
(pow x 4)
18
(+ 18 (* 6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(* (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
32.0ms	x	@	inf	((* (+ (* x x) -3) 1/6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))
2.0ms	x	@	0	((* (+ (* x x) -3) 1/6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))
2.0ms	x	@	-inf	((* (+ (* x x) -3) 1/6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

Time

Variable

Point

Expression

32.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

simplify164.0ms (4%)

Memory

14.0MiB live, 96.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	167
1	143	167
2	329	167
3	690	167
4	1454	167
5	2359	167
6	3635	167
7	5700	167
8	7384	167
0	8081	155

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

rewrite216.0ms (5.2%)

Memory

16.2MiB live, 246.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	68
0	36	59
1	157	59
2	891	59
0	8756	59

Stop Event

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

Counts

11 → 1 984

Calls

Call 1

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

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) (pow.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 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 (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 (-.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) (-.f64 #s(literal -3 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 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 #s(literal 1/6 binary64) (-.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)) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 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 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 (/.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 (pow.f64 (pow.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/6 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 -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 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 (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)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal -3/2 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal -3/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.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)))
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eval108.0ms (2.6%)

Memory: 9.5MiB live, 205.7MiB allocated
Compiler: Compiled 23 548 to 2 722 computations (88.4% saved)

prune20.0ms (0.5%)

Memory

-15.7MiB live, 60.0MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 017	5	1 022
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 022	9	1 031

Accuracy

100.0%

Counts

1 031 → 9

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))
	77.9%	(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))
▶	66.4%	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
▶	99.8%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
▶	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 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 1/6 binary64))
▶	48.3%	(.f64 #s(approx (+ ( x x) -3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	51.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 157 to 112 computations (28.7% saved)

simplify12.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	121
0	41	115
1	62	113
2	83	109
3	112	109
4	127	109
5	138	109
6	154	109
7	184	109
8	221	109
9	268	109
10	294	109
11	319	109
12	321	109
13	322	109
0	322	109

Stop Event

1×	iter limit
1×	saturated
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)
(.f64 #s(approx (+ ( x x) -3) (*.f64 x x)) #s(literal 1/6 binary64))
#s(approx (+ (* x x) -3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 (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)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal -6 binary64)
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
x
#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)

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

localize65.0ms (1.6%)

Memory

-24.4MiB live, 100.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.078125	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))
accuracy	0.09765625	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	18.626385496118328	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.08041000976844201	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
accuracy	0.22588466704718782	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.09765625	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.09375	(.f64 #s(approx (+ ( x x) -3) (*.f64 x x)) #s(literal 1/6 binary64))
accuracy	32.97952005170475	#s(approx (+ (* x x) -3) (*.f64 x x))
accuracy	0.0	(/.f64 x #s(literal 6 binary64))
accuracy	0.0546875	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Samples

49.0ms

256×

valid

Compiler

Compiled 129 to 27 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 16.0ms (45.1% of total)

ival-mult: 10.0ms (28.2% of total)

ival-add: 5.0ms (14.1% of total)

const: 4.0ms (11.3% of total)

exact: 1.0ms (2.8% of total)

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

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

series5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

13 → 33

Calls

Call 1

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

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

inf

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

1.0ms

-inf

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

1.0ms

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

simplify107.0ms (2.6%)

Memory

14.9MiB live, 132.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	266
1	234	265
2	594	263
3	1325	263
4	3222	263
5	5924	263
0	8119	241

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

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

rewrite182.0ms (4.4%)

Memory

-0.8MiB live, 226.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	93
0	41	77
1	147	75
2	847	75
0	8577	75

Stop Event

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

Counts

13 → 1 826

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1296 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 (*.f64 x x) #s(literal -1/12 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 46656 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1296 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -6 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64)))) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) #s(literal -3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -6 binary64)) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal 3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/6 binary64)) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
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(.f64 (/.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)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
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(+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal 18 binary64))

eval118.0ms (2.9%)

Memory: 10.8MiB live, 200.3MiB allocated
Compiler: Compiled 24 780 to 3 055 computations (87.7% saved)

prune29.0ms (0.7%)

Memory

-7.9MiB live, 81.2MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 093	2	1 095
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	1 095	9	1 104

Accuracy

100.0%

Counts

1 104 → 9

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))
▶	15.8%	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))
✓	99.8%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
▶	48.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ -1 (+ ( x x) -3)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -6 binary64)))
✓	99.9%	(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
✓	48.3%	(.f64 #s(approx (+ ( x x) -3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	51.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 93 to 72 computations (22.6% saved)

simplify4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	111
0	33	111
1	50	107
2	63	103
3	66	103
0	66	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (1.1%)

Memory

-12.3MiB live, 64.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))
accuracy	0.18425751953688405	(.f64 #s(literal 6 binary64) (.f64 x x))
accuracy	18.626385496118328	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))
accuracy	32.41514955936383	#s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x)))
accuracy	0.08041000976844201	(.f64 #s(approx (/ -1 (+ ( x x) -3)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -6 binary64))
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ -1 (+ ( x x) -3)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -6 binary64)))
accuracy	0.11328125	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	33.60883485820999	#s(approx (/ -1 (+ (* x x) -3)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))

Samples

31.0ms

256×

valid

Compiler

Compiled 85 to 23 computations (72.9% saved)

Precisions

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

ival-div: 8.0ms (36.9% of total)

ival-mult: 8.0ms (36.9% of total)

ival-add: 4.0ms (18.5% of total)

exact: 1.0ms (4.6% of total)

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

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

series5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

9 → 29

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ 1 (* (/ -1 (+ (* x x) -3)) -6)) (* (/ -1 (+ (* x x) -3)) -6) (/ -1 (+ (* x x) -3)) (/ (/ -1 x) x) (+ (* (* x x) (* x x)) -9) (/ (+ (* (* x x) (* x x)) -9) (* (+ (* x x) 3) 6)) (* x x) (* (+ (* x x) 3) 6) (* 6 (* x x)))

1.0ms

-inf

((/ 1 (* (/ -1 (+ (* x x) -3)) -6)) (* (/ -1 (+ (* x x) -3)) -6) (/ -1 (+ (* x x) -3)) (/ (/ -1 x) x) (+ (* (* x x) (* x x)) -9) (/ (+ (* (* x x) (* x x)) -9) (* (+ (* x x) 3) 6)) (* x x) (* (+ (* x x) 3) 6) (* 6 (* x x)))

1.0ms

((/ 1 (* (/ -1 (+ (* x x) -3)) -6)) (* (/ -1 (+ (* x x) -3)) -6) (/ -1 (+ (* x x) -3)) (/ (/ -1 x) x) (+ (* (* x x) (* x x)) -9) (/ (+ (* (* x x) (* x x)) -9) (* (+ (* x x) 3) 6)) (* x x) (* (+ (* x x) 3) 6) (* 6 (* x x)))

simplify98.0ms (2.4%)

Memory

16.8MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	252
1	221	252
2	566	249
3	1271	249
4	2764	249
5	6226	249
0	8043	229

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

rewrite130.0ms (3.1%)

Memory

11.2MiB live, 129.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	33	99
1	122	93
2	684	89
3	5426	85
0	8704	80

Stop Event

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

Counts

9 → 326

Calls

Call 1

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

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

eval51.0ms (1.2%)

Memory: 5.8MiB live, 75.4MiB allocated
Compiler: Compiled 10 557 to 1 158 computations (89% saved)

prune15.0ms (0.4%)

Memory

-8.1MiB live, 29.1MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	413	1	414
Fresh	0	0	0
Picked	0	2	2
Done	1	6	7
Total	414	9	423

Accuracy

100.0%

Counts

423 → 9

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))
✓	15.8%	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 #s(literal 6 binary64) (.f64 x x))))
✓	99.8%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	48.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ -1 (+ ( x x) -3)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -6 binary64)))
	48.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ -1 (+ ( x x) -3)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -6 binary64)))
✓	99.9%	(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
✓	48.3%	(.f64 #s(approx (+ ( x x) -3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	51.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 307 to 150 computations (51.1% saved)

regimes27.0ms (0.7%)

Memory

-15.5MiB live, 30.0MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
5.0ms	x
5.0ms	(*.f64 x x)
5.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes9.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`x`
97.7%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
97.7%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
97.7%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes8.0ms (0.2%)

Memory

-29.2MiB live, 8.9MiB 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:

5.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
51.2%	1	`x`
51.2%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
51.2%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
51.2%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch10.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.7435656827432728	59840.23349735226

Samples

4.0ms

128×

valid

Compiler

Compiled 170 to 162 computations (4.7% saved)

Precisions

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

ival-sub: 1.0ms (55.9% of total)

ival-div: 1.0ms (55.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify67.0ms (1.6%)

Memory

-1.4MiB live, 36.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	49
1	24	49
2	33	49
3	46	49
4	76	49
5	119	49
6	219	49
7	643	49
8	2151	49
9	6855	49

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness553.0ms (13.4%)

Memory

-16.2MiB live, 268.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	68
0	36	59
1	157	59
2	891	59
0	8756	59
0	19	34
1	43	34
2	106	34
3	244	34
4	769	34
5	1597	34
6	2339	34
7	3513	34
8	4249	34
9	5354	34
10	6409	34
11	7139	34
0	8052	30
0	6	15
0	9	15
1	42	15
2	230	15
3	1833	15
0	8165	13

Stop Event

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

Compiler

Compiled 94 to 57 computations (39.4% saved)

preprocess26.0ms (0.6%)

Memory: 3.4MiB live, 41.7MiB allocated
Remove: (abs x)
Compiler: Compiled 124 to 64 computations (48.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	26	121
0	41	115
1	62	113
2	83	109
3	112	109
4	127	109
5	138	109
6	154	109
7	184	109
8	221	109
9	268	109
10	294	109
11	319	109
12	321	109
13	322	109
0	322	109

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

Iter	Nodes	Cost
0	26	121
0	41	115
1	62	113
2	83	109
3	112	109
4	127	109
5	138	109
6	154	109
7	184	109
8	221	109
9	268	109
10	294	109
11	319	109
12	321	109
13	322	109
0	322	109

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (31.9%)

explain66.0ms (1.6%)

preprocess25.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.4%)

series2.0ms (0%)

simplify109.0ms (2.6%)

rewrite209.0ms (5.1%)

eval94.0ms (2.3%)

prune11.0ms (0.3%)

simplify107.0ms (2.6%)

localize58.0ms (1.4%)

series36.0ms (0.9%)

simplify164.0ms (4%)

rewrite216.0ms (5.2%)

eval108.0ms (2.6%)

prune20.0ms (0.5%)

simplify12.0ms (0.3%)

localize65.0ms (1.6%)

series5.0ms (0.1%)

simplify107.0ms (2.6%)

rewrite182.0ms (4.4%)

eval118.0ms (2.9%)

prune29.0ms (0.7%)

simplify4.0ms (0.1%)

localize43.0ms (1.1%)

series5.0ms (0.1%)

simplify98.0ms (2.4%)

rewrite130.0ms (3.1%)

eval51.0ms (1.2%)

prune15.0ms (0.4%)

regimes27.0ms (0.7%)

regimes9.0ms (0.2%)

regimes6.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch10.0ms (0.2%)

simplify67.0ms (1.6%)

soundness553.0ms (13.4%)

preprocess26.0ms (0.6%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	26	121
0	41	115
1	62	113
2	83	109
3	112	109
4	127	109
5	138	109
6	154	109
7	184	109
8	221	109
9	268	109
10	294	109
11	319	109
12	321	109
13	322	109
0	322	109