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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample999.0ms (28%)

Memory

28.8MiB live, 839.3MiB allocated

Samples

681.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-sub: 141.0ms (38.9% of total)

ival-div: 137.0ms (37.8% of total)

ival-mult: 66.0ms (18.2% of total)

exact: 9.0ms (2.5% of total)

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

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain115.0ms (3.2%)

Memory

-13.1MiB live, 148.6MiB 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

Total Time

17.23486328125

Average Time

0.06732368469238281

Samples

11.0ms

256×

valid

Compiler

Compiled 63 to 30 computations (52.4% saved)

Precisions

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

ival-div: 2.0ms (37.2% of total)

ival-mult: 2.0ms (37.2% of total)

ival-sub: 1.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.5%)

Memory

33.5MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.2%)

Memory

-32.1MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	128	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.5%)

Memory

34.1MiB live, 34.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0625	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (38% of total)

ival-mult: 2.0ms (38% of total)

ival-sub: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

-32.9MiB live, 4.6MiB 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
4.0ms	x	@	-inf	((- (* x x) 3) (/ (- (* x x) 3) 6) (* x x))
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))

simplify119.0ms (3.4%)

Memory

-11.3MiB live, 124.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite180.0ms (5.1%)

Memory

31.4MiB live, 311.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 516

Calls

Call 1

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

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

eval61.0ms (1.7%)

Memory: -30.9MiB live, 126.6MiB allocated
Compiler: Compiled 14 399 to 1 652 computations (88.5% saved)

prune11.0ms (0.3%)

Memory

-1.7MiB live, 37.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	515	7	522
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	516	7	523

Accuracy

100.0%

Counts

523 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
▶	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
	66.6%	(/.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)))
	66.6%	(/.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)))
▶	47.2%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	53.5%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 128 to 106 computations (17.2% saved)

simplify4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	70
0	27	68
1	40	68
2	44	68
3	46	68
0	46	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (1.5%)

Memory

-31.6MiB live, 81.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.08984375	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.046875	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.3203125	(*.f64 x #s(literal 1/6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.15234375	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	33.70537542878279	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
accuracy	29.7407782302492	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0625	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Samples

31.0ms

256×

valid

Compiler

Compiled 138 to 38 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 7.0ms (34% of total)

const: 5.0ms (24.3% of total)

ival-div: 3.0ms (14.6% of total)

ival-add: 3.0ms (14.6% of total)

ival-sub: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

9 → 9

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify110.0ms (3.1%)

Memory

-8.1MiB live, 108.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	37
1	45	37
2	98	37
3	232	37
4	750	37
5	1582	37
6	2326	37
7	3496	37
8	4213	37
9	5320	37
10	6378	37
11	7109	37
0	8022	33

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

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

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

rewrite194.0ms (5.4%)

Memory

19.9MiB live, 256.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	55
0	27	53
1	107	53
2	499	53
3	4078	53
0	9957	53

Stop Event

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

Counts

9 → 730

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (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))) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (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))) (fma.f64 #s(literal 1/10077696 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -1/512 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal -1/1728 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (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)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.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 #s(literal 6 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.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 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (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))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -27 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (/.f64 (.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 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/6 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 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)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)))
(.f64 (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 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/6 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (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))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
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(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 (.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.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)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 3 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 3 binary64)))
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(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 #s(literal 6 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x))))
(/.f64 (neg.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 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (neg.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 #s(literal -6 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x))))
(/.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 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 3 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 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 #s(literal 3 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64))))
(neg.f64 (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/6 binary64))) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) x))) x #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) x))) #s(literal -1/2 binary64))
(fma.f64 x (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) x) x))))
(-.f64 (/.f64 (.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 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 27 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 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 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) 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 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) 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 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) (neg.f64 (/.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 1/6 binary64) x) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

eval39.0ms (1.1%)

Memory: -16.8MiB live, 58.4MiB allocated
Compiler: Compiled 6 259 to 945 computations (84.9% saved)

prune7.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	344	4	348
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	348	7	355

Accuracy

100.0%

Counts

355 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
▶	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
▶	47.2%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
▶	47.2%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	47.2%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	53.5%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 68 to 55 computations (19.1% saved)

simplify5.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	78
0	31	74
1	51	72
2	58	72
3	74	72
0	74	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (1.6%)

Memory

-24.0MiB live, 59.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.046875	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.046875	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.125	(/.f64 (*.f64 x x) #s(literal 6 binary64))
accuracy	33.70537542878279	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
accuracy	0.11328125	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.3203125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	33.70537542878279	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Samples

37.0ms

256×

valid

Compiler

Compiled 148 to 42 computations (71.6% saved)

Precisions

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

ival-div: 8.0ms (30.1% of total)

ival-mult: 8.0ms (30.1% of total)

ival-add: 5.0ms (18.8% of total)

const: 4.0ms (15% of total)

ival-sub: 1.0ms (3.8% of total)

exact: 1.0ms (3.8% of total)

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

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

series3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

11 → 7

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify97.0ms (2.7%)

Memory

28.8MiB live, 66.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite202.0ms (5.7%)

Memory

-0.1MiB live, 118.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	67
0	31	63
1	119	61
2	620	61
3	5955	61
0	8241	61

Stop Event

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

Counts

11 → 625

Calls

Call 1

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

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

eval40.0ms (1.1%)

Memory: -22.0MiB live, 53.6MiB allocated
Compiler: Compiled 5 276 to 910 computations (82.8% saved)

prune6.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	328	2	330
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	330	7	337

Accuracy

100.0%

Counts

337 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	47.2%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
▶	47.2%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
▶	47.3%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	47.2%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	47.2%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	53.5%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 80 to 63 computations (21.3% saved)

simplify4.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	16	46
1	25	46
2	29	46
3	30	46
0	30	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (1.1%)

Memory

-17.1MiB live, 30.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.12890625	(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy	33.70537542878279	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.11328125	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
accuracy	33.70537542878279	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))

Samples

32.0ms

256×

valid

Compiler

Compiled 82 to 25 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (48% of total)

ival-div: 6.0ms (41.1% of total)

ival-sub: 1.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

6 → 6

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify112.0ms (3.1%)

Memory

13.8MiB live, 51.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	31	26
2	60	26
3	133	26
4	375	26
5	717	26
6	1174	26
7	2188	26
8	3642	26
9	4737	26
10	5679	26
11	6833	26
0	8027	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 6

Calls

Call 1

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

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

rewrite208.0ms (5.8%)

Memory

-12.0MiB live, 105.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	16	42
1	63	42
2	327	42
3	2725	42
0	8148	40

Stop Event

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

Counts

6 → 188

Calls

Call 1

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

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

eval14.0ms (0.4%)

Memory: 15.6MiB live, 15.6MiB allocated
Compiler: Compiled 2 177 to 434 computations (80.1% saved)

prune19.0ms (0.5%)

Memory

-29.5MiB live, 9.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	132	7	139

Accuracy

100.0%

Counts

139 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	47.2%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
✓	47.2%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
✓	47.3%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	47.2%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	47.2%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	53.5%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 217 to 109 computations (49.8% saved)

regimes17.0ms (0.5%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes11.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes20.0ms (0.6%)

Memory

-21.8MiB live, 14.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(*.f64 x x)
3.0ms	x
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.9%	2	`x`
98.9%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.9%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.9%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.2%)

Memory

10.1MiB live, 10.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
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
98.9%	2	`x`
98.9%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.9%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.9%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes34.0ms (1%)

Memory

-27.1MiB live, 9.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
53.5%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
53.5%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001861546897654334	260.1070915968064

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch11.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0001861546897654334	260.1070915968064

Samples

4.0ms

144×

valid

Compiler

Compiled 190 to 181 computations (4.7% saved)

Precisions

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

ival-sub: 1.0ms (50.7% of total)

ival-div: 1.0ms (50.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify27.0ms (0.7%)

Memory

-16.8MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	83
1	30	83

Stop Event

1×

saturated

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 6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(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 6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(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))))
(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 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

soundness616.0ms (17.3%)

Memory

41.1MiB live, 305.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	55
0	27	53
1	107	53
2	499	53
3	4078	53
0	9957	53
0	19	34
1	43	34
2	98	34
3	236	34
4	759	34
5	1590	34
6	2334	34
7	3513	34
8	4233	34
9	5340	34
10	6393	34
11	7123	34
0	8036	30
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13

Stop Event

1×	done
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 160 to 89 computations (44.4% saved)

preprocess63.0ms (1.8%)

Memory: -16.9MiB live, 102.8MiB allocated
Remove: (abs x)
Compiler: Compiled 204 to 88 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample999.0ms (28%)

explain115.0ms (3.2%)

preprocess17.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.2%)

localize16.0ms (0.5%)

series6.0ms (0.2%)

simplify119.0ms (3.4%)

rewrite180.0ms (5.1%)

eval61.0ms (1.7%)

prune11.0ms (0.3%)

simplify4.0ms (0.1%)

localize53.0ms (1.5%)

series3.0ms (0.1%)

simplify110.0ms (3.1%)

rewrite194.0ms (5.4%)

eval39.0ms (1.1%)

prune7.0ms (0.2%)

simplify5.0ms (0.1%)

localize57.0ms (1.6%)

series3.0ms (0.1%)

simplify97.0ms (2.7%)

rewrite202.0ms (5.7%)

eval40.0ms (1.1%)

prune6.0ms (0.2%)

simplify4.0ms (0.1%)

localize39.0ms (1.1%)

series2.0ms (0.1%)

simplify112.0ms (3.1%)

rewrite208.0ms (5.8%)

eval14.0ms (0.4%)

prune19.0ms (0.5%)

regimes17.0ms (0.5%)

regimes11.0ms (0.3%)

regimes20.0ms (0.6%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes34.0ms (1%)

bsearch0.0ms (0%)

bsearch11.0ms (0.3%)

simplify27.0ms (0.7%)

soundness616.0ms (17.3%)

preprocess63.0ms (1.8%)

end0.0ms (0%)

Profiling

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