Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 5 computations (50% saved)

sample684.0ms (17.9%)

Results

675.0ms

8256×

body

256

valid

Bogosity

preprocess50.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

4×	`*-commutative`
4×	`associate-r`
4×	`count-2`
2×	`fma-def`
2×	`hypot-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	17	7
3	20	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)

Compiler

Compiled 10 to 5 computations (50% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
4×	`associate-r`
4×	`count-2`
2×	`fma-def`
2×	`hypot-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	17	7
3	20	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)

eval0.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Accurracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	54.1%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize23.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x x) (.f64 x x))
✓	54.1%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 21 to 5 computations (76.2% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
0.0ms	x	@	inf	(+.f64 (.f64 x x) (.f64 x x))
0.0ms	x	@	0	(+.f64 (.f64 x x) (.f64 x x))
0.0ms	x	@	-inf	(+.f64 (.f64 x x) (.f64 x x))

rewrite86.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`pow1`
1126×	`add-exp-log`
1124×	`log1p-expm1-u`
1124×	`expm1-log1p-u`
1098×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	150	14
2	2020	14

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))

Outputs
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 (/.f64 0 0) (.f64 x x)) (.f64 (/.f64 0 0) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (/.f64 0 0)) (.f64 (.f64 x x) (/.f64 0 0)))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
(*.f64 x (+.f64 x x))
(.f64 x (.f64 (+.f64 x x) (/.f64 0 0)))
(.f64 (.f64 x x) 2)
(.f64 (.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 (/.f64 0 0) (/.f64 0 0))
(*.f64 (/.f64 0 0) 1)
(*.f64 1 (/.f64 0 0))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x x)))
(.f64 2 (.f64 x x))
(.f64 2 (.f64 (*.f64 x x) (/.f64 0 0)))
(.f64 (.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 (+.f64 x x) x)
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 4 (pow.f64 x 4))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
(*.f64 (pow.f64 2 1/2) x)
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(.f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (/.f64 0 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (.f64 2 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
(pow.f64 (/.f64 0 0) 1)
(pow.f64 (/.f64 0 0) 1/2)
(pow.f64 (/.f64 0 0) 2)
(pow.f64 (/.f64 0 0) 3)
(pow.f64 (/.f64 0 0) 1/4)
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 (/.f64 0 0) 1/3)
(fabs.f64 (/.f64 0 0))
(log.f64 (exp.f64 (/.f64 0 0)))
(cbrt.f64 (/.f64 0 0))
(expm1.f64 (log1p.f64 (/.f64 0 0)))
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
(log1p.f64 (expm1.f64 (/.f64 0 0)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
(*.f64 x (+.f64 x x))
(.f64 x (.f64 (+.f64 x x) (/.f64 0 0)))
(.f64 (.f64 x x) 2)
(.f64 (.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 (/.f64 0 0) (/.f64 0 0))
(*.f64 (/.f64 0 0) 1)
(*.f64 1 (/.f64 0 0))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x x)))
(.f64 2 (.f64 x x))
(.f64 2 (.f64 (*.f64 x x) (/.f64 0 0)))
(.f64 (.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 (+.f64 x x) x)
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 4 (pow.f64 x 4))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
(*.f64 (pow.f64 2 1/2) x)
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(.f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (/.f64 0 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (.f64 2 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
(pow.f64 (/.f64 0 0) 1)
(pow.f64 (/.f64 0 0) 1/2)
(pow.f64 (/.f64 0 0) 2)
(pow.f64 (/.f64 0 0) 3)
(pow.f64 (/.f64 0 0) 1/4)
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 (/.f64 0 0) 1/3)
(sqrt.f64 (/.f64 0 0))
(fabs.f64 (/.f64 0 0))
(log.f64 (exp.f64 (/.f64 0 0)))
(cbrt.f64 (/.f64 0 0))
(expm1.f64 (log1p.f64 (/.f64 0 0)))
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
(log1p.f64 (expm1.f64 (/.f64 0 0)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative`
24×	`sqr-pow`
20×	`associate-r`
18×	`distribute-lft-in`
16×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	872
1	390	872

Stop Event

1×

unsound

Counts

148 → 77

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 (/.f64 0 0) (.f64 x x)) (.f64 (/.f64 0 0) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (/.f64 0 0)) (.f64 (.f64 x x) (/.f64 0 0)))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
(*.f64 x (+.f64 x x))
(.f64 x (.f64 (+.f64 x x) (/.f64 0 0)))
(.f64 (.f64 x x) 2)
(.f64 (.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 (/.f64 0 0) (/.f64 0 0))
(*.f64 (/.f64 0 0) 1)
(*.f64 1 (/.f64 0 0))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x x)))
(.f64 2 (.f64 x x))
(.f64 2 (.f64 (*.f64 x x) (/.f64 0 0)))
(.f64 (.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 (+.f64 x x) x)
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 4 (pow.f64 x 4))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
(*.f64 (pow.f64 2 1/2) x)
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(.f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (/.f64 0 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (.f64 2 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
(pow.f64 (/.f64 0 0) 1)
(pow.f64 (/.f64 0 0) 1/2)
(pow.f64 (/.f64 0 0) 2)
(pow.f64 (/.f64 0 0) 3)
(pow.f64 (/.f64 0 0) 1/4)
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 (/.f64 0 0) 1/3)
(fabs.f64 (/.f64 0 0))
(log.f64 (exp.f64 (/.f64 0 0)))
(cbrt.f64 (/.f64 0 0))
(expm1.f64 (log1p.f64 (/.f64 0 0)))
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
(log1p.f64 (expm1.f64 (/.f64 0 0)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
(*.f64 x (+.f64 x x))
(.f64 x (.f64 (+.f64 x x) (/.f64 0 0)))
(.f64 (.f64 x x) 2)
(.f64 (.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
(*.f64 (/.f64 0 0) (/.f64 0 0))
(*.f64 (/.f64 0 0) 1)
(*.f64 1 (/.f64 0 0))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x x)))
(.f64 2 (.f64 x x))
(.f64 2 (.f64 (*.f64 x x) (/.f64 0 0)))
(.f64 (.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 (+.f64 x x) x)
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 4 (pow.f64 x 4))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
(*.f64 (pow.f64 2 1/2) x)
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(.f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (/.f64 0 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (.f64 2 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
(pow.f64 (/.f64 0 0) 1)
(pow.f64 (/.f64 0 0) 1/2)
(pow.f64 (/.f64 0 0) 2)
(pow.f64 (/.f64 0 0) 3)
(pow.f64 (/.f64 0 0) 1/4)
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 (/.f64 0 0) 1/3)
(sqrt.f64 (/.f64 0 0))
(fabs.f64 (/.f64 0 0))
(log.f64 (exp.f64 (/.f64 0 0)))
(cbrt.f64 (/.f64 0 0))
(expm1.f64 (log1p.f64 (/.f64 0 0)))
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
(log1p.f64 (expm1.f64 (/.f64 0 0)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))

Outputs
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(+.f64 x x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(+.f64 x x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(+.f64 x x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(+.f64 x x)
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(+.f64 (.f64 x x) (.f64 x x))
-2
(+.f64 (.f64 (/.f64 0 0) (.f64 x x)) (.f64 (/.f64 0 0) (.f64 x x)))
-2
(+.f64 (.f64 (.f64 x x) (/.f64 0 0)) (.f64 (.f64 x x) (/.f64 0 0)))
-2
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
-2
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
-2
(*.f64 x (+.f64 x x))
-2
(.f64 x (.f64 (+.f64 x x) (/.f64 0 0)))
-2
(.f64 (.f64 x x) 2)
-2
(.f64 (.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
-2
(*.f64 (/.f64 0 0) (/.f64 0 0))
-2
(*.f64 (/.f64 0 0) 1)
-2
(*.f64 1 (/.f64 0 0))
-2
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 (*.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 (+.f64 x x) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (+.f64 x x) (sqrt.f64 x)))
(.f64 2 (.f64 x x))
-2
(.f64 2 (.f64 (*.f64 x x) (/.f64 0 0)))
-2
(.f64 (.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
-2
(*.f64 0 (/.f64 1 0))
-2
(*.f64 (+.f64 x x) x)
-2
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 -2 (pow.f64 (cbrt.f64 x) -2))
(*.f64 4 (pow.f64 x 4))
-2
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
-2
(*.f64 (pow.f64 2 1/2) x)
(+.f64 x x)
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
-2
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
-2
(.f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 (*.f64 x x))))
(/.f64 1 (/.f64 0 0))
-2
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
-2
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 0 0)
-2
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (cbrt.f64 (*.f64 x x)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (.f64 2 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (sqrt.f64 (*.f64 x x)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
-2
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
-2
(pow.f64 (/.f64 0 0) 1)
-2
(pow.f64 (/.f64 0 0) 1/2)
-2
(pow.f64 (/.f64 0 0) 2)
-2
(pow.f64 (/.f64 0 0) 3)
-2
(pow.f64 (/.f64 0 0) 1/4)
-2
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 -2 3/2)
(pow.f64 (/.f64 0 0) 1/3)
-2
(fabs.f64 (/.f64 0 0))
-2
(log.f64 (exp.f64 (/.f64 0 0)))
-2
(cbrt.f64 (/.f64 0 0))
-2
(expm1.f64 (log1p.f64 (/.f64 0 0)))
-2
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
-2
(log1p.f64 (expm1.f64 (/.f64 0 0)))
-2
(fma.f64 x x (*.f64 x x))
-2
(fma.f64 1 (.f64 x x) (.f64 x x))
(*.f64 x x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))
(fma.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 x) -2) (.f64 x x))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
-2
(-.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))
-2
(*.f64 x (+.f64 x x))
-2
(.f64 x (.f64 (+.f64 x x) (/.f64 0 0)))
-2
(.f64 (.f64 x x) 2)
-2
(.f64 (.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))
-2
(*.f64 (/.f64 0 0) (/.f64 0 0))
-2
(*.f64 (/.f64 0 0) 1)
-2
(*.f64 1 (/.f64 0 0))
-2
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 (*.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 (+.f64 x x) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (+.f64 x x) (sqrt.f64 x)))
(.f64 2 (.f64 x x))
-2
(.f64 2 (.f64 (*.f64 x x) (/.f64 0 0)))
-2
(.f64 (.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))
-2
(*.f64 0 (/.f64 1 0))
-2
(*.f64 (+.f64 x x) x)
-2
(*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 -2 (pow.f64 (cbrt.f64 x) -2))
(*.f64 4 (pow.f64 x 4))
-2
(*.f64 (sqrt.f64 2) x)
(+.f64 x x)
(*.f64 (pow.f64 1 1/2) (/.f64 0 0))
-2
(*.f64 (pow.f64 2 1/2) x)
(+.f64 x x)
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
-2
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
-2
(.f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 (*.f64 x x))))
(/.f64 1 (/.f64 0 0))
-2
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))
-2
(/.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 0 0)
-2
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (cbrt.f64 (*.f64 x x)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (.f64 2 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (sqrt.f64 (*.f64 x x)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))
-2
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))
-2
(/.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 (.f64 (.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))
-2
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
-2
(pow.f64 (/.f64 0 0) 1)
-2
(pow.f64 (/.f64 0 0) 1/2)
-2
(pow.f64 (/.f64 0 0) 2)
-2
(pow.f64 (/.f64 0 0) 3)
-2
(pow.f64 (/.f64 0 0) 1/4)
-2
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 -2 3/2)
(pow.f64 (/.f64 0 0) 1/3)
-2
(sqrt.f64 (/.f64 0 0))
-2
(fabs.f64 (/.f64 0 0))
-2
(log.f64 (exp.f64 (/.f64 0 0)))
-2
(cbrt.f64 (/.f64 0 0))
-2
(expm1.f64 (log1p.f64 (/.f64 0 0)))
-2
(hypot.f64 x x)
(exp.f64 (log.f64 (/.f64 0 0)))
-2
(log1p.f64 (expm1.f64 (/.f64 0 0)))
-2
(fma.f64 x x (*.f64 x x))
-2
(fma.f64 1 (.f64 x x) (.f64 x x))
(*.f64 x x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))
(fma.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 x) -2) (.f64 x x))

localize20.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(hypot.f64 x x)

Compiler

Compiled 6 to 3 computations (50% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(hypot.f64 x x)
0.0ms	x	@	0	(hypot.f64 x x)
0.0ms	x	@	inf	(hypot.f64 x x)

rewrite45.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1`
704×	`add-sqr-sqrt`
696×	`*-un-lft-identity`
674×	`add-exp-log`
674×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	80	7
2	933	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 2 1/2) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 x x))) 1/2))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

924×	`associate-r`
884×	`log-prod`
766×	`associate-l`
738×	`associate-+r+`
718×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	717
1	249	681
2	686	669
3	4006	669

Stop Event

1×	node limit

Counts

53 → 55

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(+.f64 0 (hypot.f64 x x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 2 1/2) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 x x))) 1/2))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 0 (hypot.f64 x x))
(hypot.f64 x x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3)
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(*.f64 1 (hypot.f64 x x))
(hypot.f64 x x)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(hypot.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2))
(hypot.f64 x x)
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(hypot.f64 x x)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 8)))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(hypot.f64 x x)
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(hypot.f64 x x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(hypot.f64 x x)
(.f64 (pow.f64 (pow.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 8)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(hypot.f64 x x)
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(hypot.f64 x x)
(*.f64 (pow.f64 2 1/2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(hypot.f64 x x)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(hypot.f64 x x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 x x))) 1/2))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)

eval42.0ms (1.1%)

Compiler: Compiled 1120 to 625 computations (44.2% saved)

prune25.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	128	6	134

Accurracy

100.0%

Counts

134 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	11.6%	(+.f64 x x)
▶	7.0%	(*.f64 (+.f64 x x) x)
▶	52.8%	(*.f64 (sqrt.f64 2) x)
▶	7.0%	(*.f64 x x)
▶	54.1%	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 56 to 32 computations (42.9% saved)

localize49.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	54.1%	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (*.f64 x (+.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 x (+.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite66.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`pow1`
988×	`add-exp-log`
986×	`log1p-expm1-u`
986×	`expm1-log1p-u`
966×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	148	7
2	2053	7

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x (+.f64 x x)))

Outputs
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))
(*.f64 x (+.f64 x x))
(*.f64 x 2)
(*.f64 (+.f64 x x) x)
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) 1)
(*.f64 (+.f64 x x) (cbrt.f64 x))
(.f64 (+.f64 x x) (.f64 x x))
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 (+.f64 x x) (pow.f64 x 3))
(*.f64 1 (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(.f64 (.f64 x x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x 3) (+.f64 x x))
(.f64 (.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 2 x)
(*.f64 2 (+.f64 x x))
(.f64 2 (.f64 x x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(.f64 4 (.f64 x x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
(.f64 (.f64 (+.f64 x x) 2) x)
(.f64 (.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 0)
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 x (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
(/.f64 (*.f64 0 x) 0)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 x x)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative`
26×	`distribute-lft-in`
24×	`associate-l`
22×	`associate-/l*`
20×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	469
1	427	469

Stop Event

1×

unsound

Counts

89 → 90

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))
(*.f64 x (+.f64 x x))
(*.f64 x 2)
(*.f64 (+.f64 x x) x)
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) 1)
(*.f64 (+.f64 x x) (cbrt.f64 x))
(.f64 (+.f64 x x) (.f64 x x))
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 (+.f64 x x) (pow.f64 x 3))
(*.f64 1 (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(.f64 (.f64 x x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x 3) (+.f64 x x))
(.f64 (.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 2 x)
(*.f64 2 (+.f64 x x))
(.f64 2 (.f64 x x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(.f64 4 (.f64 x x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
(.f64 (.f64 (+.f64 x x) 2) x)
(.f64 (.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 0)
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 x (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
(/.f64 (*.f64 0 x) 0)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 x x)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(+.f64 x x)
-1
(+.f64 (+.f64 x x) (+.f64 x x))
-1
(+.f64 (.f64 x x) (.f64 x x))
-1
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
-1
(-.f64 (+.f64 1 (+.f64 x x)) 1)
-1
(-.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))
-1
(*.f64 x (+.f64 x x))
-1
(*.f64 x 2)
-1
(*.f64 (+.f64 x x) x)
-1
(*.f64 (+.f64 x x) (+.f64 x x))
-1
(*.f64 (+.f64 x x) 1)
-1
(*.f64 (+.f64 x x) (cbrt.f64 x))
(*.f64 -1 (cbrt.f64 x))
(.f64 (+.f64 x x) (.f64 x x))
-1
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 -1 (sqrt.f64 x))
(*.f64 (+.f64 x x) (pow.f64 x 3))
-1
(*.f64 1 (+.f64 x x))
-1
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 -1 (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 -1 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
-1
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 -1 (cbrt.f64 x))
(.f64 (.f64 x x) (+.f64 x x))
-1
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 -1 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x 3) (+.f64 x x))
-1
(.f64 (.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
-1
(*.f64 0 (/.f64 1 0))
-1
(*.f64 2 x)
-1
(*.f64 2 (+.f64 x x))
-1
(.f64 2 (.f64 x x))
-1
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 -1 (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(.f64 4 (.f64 x x))
-1
(*.f64 (sqrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 -1 (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
-1
(.f64 (.f64 (+.f64 x x) 2) x)
-1
(.f64 (.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -1 (cbrt.f64 x))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -1 (cbrt.f64 x))
(.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 2 (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 1 (+.f64 x x))
-1
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
-1
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
-1
(/.f64 0 0)
-1
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
-1
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
-1
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-1
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
-1
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
-1
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
-1
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
-1
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
-1
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 0)
-1
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-1
(/.f64 (.f64 x (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-1
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
-1
(/.f64 (*.f64 0 (+.f64 x x)) 0)
-1
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
-1
(/.f64 (*.f64 0 x) 0)
-1
(pow.f64 (+.f64 x x) 1)
-1
(pow.f64 (+.f64 x x) 1/2)
-1
(pow.f64 (+.f64 x x) 3)
-1
(pow.f64 (+.f64 x x) 2)
-1
(pow.f64 (+.f64 x x) 1/4)
-1
(pow.f64 (+.f64 x x) 3/2)
-1
(pow.f64 (+.f64 x x) 1/3)
-1
(fabs.f64 (+.f64 x x))
-1
(log.f64 (pow.f64 (exp.f64 2) x))
(*.f64 x (log.f64 (exp.f64 2)))
(cbrt.f64 (+.f64 x x))
-1
(expm1.f64 (log1p.f64 (+.f64 x x)))
-1
(hypot.f64 x x)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
-1
(log1p.f64 (expm1.f64 (+.f64 x x)))
-1
(fma.f64 x x (*.f64 x x))
-1
(fma.f64 1 x x)
(+.f64 -1 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 -1 (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

localize32.0ms (0.8%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize56.0ms (1.5%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize17.0ms (0.4%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

localize23.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 10 to 8 computations (20% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) x)
0.0ms	x	@	0	(*.f64 (sqrt.f64 2) x)
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) x)

rewrite63.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`pow1`
1084×	`add-exp-log`
1084×	`log1p-expm1-u`
1084×	`expm1-log1p-u`
1058×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	138	11
2	1508	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)

Outputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(sqrt.f64 (.f64 2 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1896×	`log-prod`
954×	`fma-neg`
806×	`*-commutative`
676×	`distribute-lft-out`
640×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	253
1	79	187
2	271	121
3	1535	121
4	4437	121
5	6814	121

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(sqrt.f64 (.f64 2 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))

Outputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)

eval17.0ms (0.4%)

Compiler: Compiled 748 to 394 computations (47.3% saved)

prune14.0ms (0.4%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	100	10	110

Accurracy

100.0%

Counts

110 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	8.1%	(-.f64 (+.f64 1 (+.f64 x x)) 1)
✓	11.6%	(+.f64 x x)
▶	6.3%	(+.f64 -1 x)
▶	7.0%	(*.f64 (+.f64 x x) (+.f64 x x))
✓	52.8%	(*.f64 (sqrt.f64 2) x)
✓	7.0%	(*.f64 x x)
▶	7.0%	(.f64 4 (.f64 x x))
✓	54.1%	(sqrt.f64 (*.f64 x (+.f64 x x)))
	1.7%	-1

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize18.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 4 (.f64 x x))

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 4 (.f64 x x))
0.0ms	x	@	0	(.f64 4 (.f64 x x))
0.0ms	x	@	-inf	(.f64 4 (.f64 x x))

rewrite105.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`pow1`
1000×	`add-sqr-sqrt`
958×	`add-exp-log`
958×	`log1p-expm1-u`
958×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1364	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 4 (.f64 x x))

Outputs
(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
(pow.f64 (.f64 4 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 4 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x 2) 2)
(sqrt.f64 (*.f64 16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 4 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 4 (.f64 x x))))
(exp.f64 (log.f64 (.f64 4 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 4 (.f64 x x))))

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2334×	`log-prod`
1166×	`distribute-rgt-in`
1148×	`distribute-lft-in`
866×	`associate-r`
740×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	299
1	89	299
2	316	299
3	2368	299
4	7751	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
(pow.f64 (.f64 4 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 4 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x 2) 2)
(sqrt.f64 (*.f64 16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 4 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 4 (.f64 x x))))
(exp.f64 (log.f64 (.f64 4 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 4 (.f64 x x))))

Outputs
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (.f64 4 (.f64 x x)) 1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (cbrt.f64 (.f64 4 (.f64 x x))) 3)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) 1/3)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (*.f64 x 2) 2)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(sqrt.f64 (*.f64 16 (pow.f64 x 4)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(cbrt.f64 (pow.f64 (.f64 4 (.f64 x x)) 3))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(expm1.f64 (log1p.f64 (.f64 4 (.f64 x x))))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(exp.f64 (log.f64 (.f64 4 (.f64 x x))))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(log1p.f64 (expm1.f64 (.f64 4 (.f64 x x))))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))

localize17.0ms (0.4%)

Compiler: Compiled 13 to 4 computations (69.2% saved)

localize16.0ms (0.4%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize54.0ms (1.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	50.5%	(-.f64 (+.f64 1 (+.f64 x x)) 1)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (+.f64 1 (+.f64 x x)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (+.f64 x x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (+.f64 x x)) 1)

rewrite118.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`pow1`
1420×	`add-exp-log`
1416×	`log1p-expm1-u`
1416×	`expm1-log1p-u`
1404×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	165	7
2	2610	7

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 x x)) 1)

Outputs
(+.f64 1 (fma.f64 2 x -1))
(+.f64 1 (*.f64 (fma.f64 2 x -1) 1))
(+.f64 x x)
(+.f64 (+.f64 x x) 0)
(+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (*.f64 -2 x)))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 2 x -1) (+.f64 x x)))
(+.f64 (fma.f64 2 x 1) -1)
(+.f64 -1 (fma.f64 2 x 1))
(+.f64 (+.f64 1 x) (+.f64 x -1))
(+.f64 (+.f64 1 x) (-.f64 x 1))
(+.f64 (fma.f64 2 x -1) 1)
(+.f64 (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))
(+.f64 (.f64 (fma.f64 2 x 1) (+.f64 x x)) (.f64 -1 (+.f64 x x)))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x (+.f64 x x)))
(+.f64 (.f64 (+.f64 x x) (fma.f64 2 x 1)) (.f64 (+.f64 x x) -1))
(*.f64 1 (+.f64 x x))
(*.f64 x 2)
(*.f64 (+.f64 x x) 1)
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (/.f64 1 (+.f64 (+.f64 x x) 2)))
(*.f64 2 x)
(.f64 2 (.f64 x (+.f64 x x)))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(.f64 4 (.f64 x x))
(*.f64 8 (pow.f64 x 3))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2 x 1)) 1))
(*.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))
(.f64 (.f64 (+.f64 x x) 2) x)
(.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (-.f64 1 (*.f64 (fma.f64 2 x 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (+.f64 x x) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (-.f64 (fma.f64 2 x 1) -1))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (cbrt.f64 (+.f64 (+.f64 x x) 2)))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (.f64 (+.f64 (+.f64 x x) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (sqrt.f64 (+.f64 (+.f64 x x) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (+.f64 x x) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (neg.f64 (+.f64 (+.f64 x x) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1)) (fma.f64 2 x -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1))) (-.f64 1 (fma.f64 2 x -1)))
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (+.f64 (+.f64 x x) 2))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 x x)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 x x)) (+.f64 (+.f64 x x) 2))
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 1/3)
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 1 x x)
(fma.f64 1 (fma.f64 2 x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (cbrt.f64 (fma.f64 2 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 (fma.f64 2 x 1)) (sqrt.f64 (fma.f64 2 x 1)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

simplify22.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative`
44×	`distribute-lft-in`
38×	`distribute-rgt-in`
38×	`+-commutative`
30×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	357
1	790	357

Stop Event

1×

unsound

Counts

105 → 103

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(+.f64 1 (fma.f64 2 x -1))
(+.f64 1 (*.f64 (fma.f64 2 x -1) 1))
(+.f64 x x)
(+.f64 (+.f64 x x) 0)
(+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (*.f64 -2 x)))
(+.f64 (+.f64 x x) (*.f64 (fma.f64 2 x -1) (+.f64 x x)))
(+.f64 (fma.f64 2 x 1) -1)
(+.f64 -1 (fma.f64 2 x 1))
(+.f64 (+.f64 1 x) (+.f64 x -1))
(+.f64 (+.f64 1 x) (-.f64 x 1))
(+.f64 (fma.f64 2 x -1) 1)
(+.f64 (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))
(+.f64 (.f64 (fma.f64 2 x 1) (+.f64 x x)) (.f64 -1 (+.f64 x x)))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x (+.f64 x x)))
(+.f64 (.f64 (+.f64 x x) (fma.f64 2 x 1)) (.f64 (+.f64 x x) -1))
(*.f64 1 (+.f64 x x))
(*.f64 x 2)
(*.f64 (+.f64 x x) 1)
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (/.f64 1 (+.f64 (+.f64 x x) 2)))
(*.f64 2 x)
(.f64 2 (.f64 x (+.f64 x x)))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(.f64 4 (.f64 x x))
(*.f64 8 (pow.f64 x 3))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2 x 1)) 1))
(*.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))
(.f64 (.f64 (+.f64 x x) 2) x)
(.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (-.f64 1 (*.f64 (fma.f64 2 x 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (+.f64 x x) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (-.f64 (fma.f64 2 x 1) -1))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (cbrt.f64 (+.f64 (+.f64 x x) 2)))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (.f64 (+.f64 (+.f64 x x) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (sqrt.f64 (+.f64 (+.f64 x x) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (+.f64 x x) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (neg.f64 (+.f64 (+.f64 x x) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1)) (fma.f64 2 x -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1))) (-.f64 1 (fma.f64 2 x -1)))
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (+.f64 (+.f64 x x) 2))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 x x)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 x x)) (+.f64 (+.f64 x x) 2))
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 1/3)
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 1 x x)
(fma.f64 1 (fma.f64 2 x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (cbrt.f64 (fma.f64 2 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 (fma.f64 2 x 1)) (sqrt.f64 (fma.f64 2 x 1)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

Outputs
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(*.f64 2 x)
-2
(+.f64 1 (fma.f64 2 x -1))
-2
(+.f64 1 (*.f64 (fma.f64 2 x -1) 1))
-2
(+.f64 x x)
-2
(+.f64 (+.f64 x x) 0)
-2
(+.f64 (+.f64 x x) (+.f64 (+.f64 x x) (*.f64 -2 x)))
-2
(+.f64 (+.f64 x x) (*.f64 (fma.f64 2 x -1) (+.f64 x x)))
-2
(+.f64 (fma.f64 2 x 1) -1)
-2
(+.f64 -1 (fma.f64 2 x 1))
-2
(+.f64 (+.f64 1 x) (+.f64 x -1))
-2
(+.f64 (+.f64 1 x) (-.f64 x 1))
-2
(+.f64 (fma.f64 2 x -1) 1)
-2
(+.f64 (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))
-2
(+.f64 (.f64 (fma.f64 2 x 1) (+.f64 x x)) (.f64 -1 (+.f64 x x)))
-2
(+.f64 (.f64 x (+.f64 x x)) (.f64 x (+.f64 x x)))
-2
(+.f64 (.f64 (+.f64 x x) (fma.f64 2 x 1)) (.f64 (+.f64 x x) -1))
-2
(*.f64 1 (+.f64 x x))
-2
(*.f64 x 2)
-2
(*.f64 (+.f64 x x) 1)
-2
(*.f64 (+.f64 x x) (+.f64 x x))
-2
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 -2 (.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(.f64 -2 (.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 -2 (sqrt.f64 x)))
(.f64 (.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
-2
(*.f64 0 (/.f64 1 0))
-2
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (/.f64 1 (+.f64 (+.f64 x x) 2)))
-2
(*.f64 2 x)
-2
(.f64 2 (.f64 x (+.f64 x x)))
-2
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 -2 (cbrt.f64 x))
(.f64 4 (.f64 x x))
-2
(*.f64 8 (pow.f64 x 3))
-2
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 -2 (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2 x 1)) 1))
-2
(*.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))
-2
(.f64 (.f64 (+.f64 x x) 2) x)
-2
(.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 -2 (.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x)))
(.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 -2 (sqrt.f64 x)))
(/.f64 1 (+.f64 x x))
-2
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
-2
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)))
-2
(/.f64 1 (/.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)))
-2
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
-2
(/.f64 0 0)
-2
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (-.f64 1 (*.f64 (fma.f64 2 x 1) -1))))
-2
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (+.f64 x x) 2))
-2
(/.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (-.f64 (fma.f64 2 x 1) -1))
-2
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (cbrt.f64 (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 -2 (cbrt.f64 (fma.f64 x x -2)))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (.f64 (+.f64 (+.f64 x x) 2) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
-2
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (sqrt.f64 (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 -2 (sqrt.f64 (fma.f64 x x -2)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))
(/.f64 -2 (pow.f64 (fma.f64 x x -2) 3))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
-2
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
-2
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (.f64 (+.f64 (+.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
-2
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2))))
-2
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (neg.f64 (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1)) (fma.f64 2 x -1))))
-2
(/.f64 (-.f64 1 (*.f64 (fma.f64 2 x -1) (fma.f64 2 x -1))) (-.f64 1 (fma.f64 2 x -1)))
-2
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-2
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (*.f64 (+.f64 x x) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1)) (+.f64 (+.f64 x x) 2))
-2
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
-2
(/.f64 (*.f64 0 (+.f64 x x)) 0)
-2
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 3) -1) (+.f64 x x)) (+.f64 (pow.f64 (fma.f64 2 x 1) 2) (+.f64 (+.f64 x x) 2)))
-2
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 2 x 1) 2) -1) (+.f64 x x)) (+.f64 (+.f64 x x) 2))
-2
(pow.f64 (+.f64 x x) 1)
-2
(pow.f64 (+.f64 x x) 3)
-2
(pow.f64 (+.f64 x x) 2)
-2
(pow.f64 (+.f64 x x) 1/2)
-2
(pow.f64 (+.f64 x x) 1/3)
-2
(sqrt.f64 (+.f64 x x))
-2
(fabs.f64 (+.f64 x x))
-2
(log.f64 (pow.f64 (exp.f64 2) x))
-2
(cbrt.f64 (+.f64 x x))
-2
(expm1.f64 (log1p.f64 (+.f64 x x)))
-2
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
-2
(log1p.f64 (expm1.f64 (+.f64 x x)))
-2
(fma.f64 1 x x)
(+.f64 x -2)
(fma.f64 1 (fma.f64 2 x 1) -1)
-2
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (cbrt.f64 (fma.f64 2 x 1)) -1)
-2
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 (fma.f64 2 x 1)) (sqrt.f64 (fma.f64 2 x 1)) -1)
-2
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

eval35.0ms (0.9%)

Compiler: Compiled 1251 to 832 computations (33.5% saved)

prune21.0ms (0.5%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	114	13	127

Accurracy

100.0%

Counts

127 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	8.1%	(-.f64 (+.f64 1 (+.f64 x x)) 1)
▶	6.2%	(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
▶	8.0%	(+.f64 (+.f64 1 x) (-.f64 x 1))
✓	11.6%	(+.f64 x x)
✓	6.3%	(+.f64 -1 x)
✓	52.8%	(*.f64 (sqrt.f64 2) x)
▶	7.0%	(.f64 x (.f64 4 x))
✓	7.0%	(*.f64 x x)
✓	7.0%	(.f64 4 (.f64 x x))
▶	7.0%	(.f64 2 (.f64 x (+.f64 x x)))
✓	54.1%	(sqrt.f64 (*.f64 x (+.f64 x x)))
	1.7%	-1

Compiler

Compiled 76 to 52 computations (31.6% saved)

localize43.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 2 (.f64 x (+.f64 x x)))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 2 (.f64 x (+.f64 x x)))
0.0ms	x	@	inf	(.f64 2 (.f64 x (+.f64 x x)))
0.0ms	x	@	-inf	(.f64 2 (.f64 x (+.f64 x x)))

rewrite86.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`pow1`
978×	`add-sqr-sqrt`
940×	`add-exp-log`
936×	`log1p-expm1-u`
936×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	150	7
2	2019	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(.f64 2 (.f64 x (+.f64 x x)))

Outputs
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) 2))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 0)
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 x (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
(/.f64 (*.f64 0 x) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 1/3)
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 x x)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

22×	`associate-/l*`
18×	`sqr-pow`
12×	`associate-l`
10×	`*-commutative`
8×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	124
1	298	124

Stop Event

1×

unsound

Counts

56 → 49

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) 2))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 0)
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 x (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
(/.f64 (*.f64 0 x) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 1/3)
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 x x)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

Outputs
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(*.f64 4 (pow.f64 x 2))
-1
(+.f64 x x)
-1
(+.f64 (+.f64 x x) (+.f64 x x))
-1
(+.f64 (.f64 x x) (.f64 x x))
-1
(+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x x) 2))
-1
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
-1
(-.f64 (+.f64 1 (+.f64 x x)) 1)
-1
(-.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))
-1
(/.f64 1 (+.f64 x x))
-1
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
-1
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
-1
(/.f64 0 0)
-1
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
-1
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
-1
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-1
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
-1
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
-1
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
-1
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
-1
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
-1
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 0)
-1
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-1
(/.f64 (.f64 x (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-1
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
-1
(/.f64 (*.f64 0 (+.f64 x x)) 0)
-1
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
-1
(/.f64 (*.f64 0 x) 0)
-1
(pow.f64 (+.f64 x x) 2)
-1
(pow.f64 (+.f64 x x) 1)
-1
(pow.f64 (+.f64 x x) 3)
-1
(pow.f64 (+.f64 x x) 1/2)
-1
(pow.f64 (+.f64 x x) 1/3)
-1
(sqrt.f64 (+.f64 x x))
-1
(fabs.f64 (+.f64 x x))
-1
(log.f64 (pow.f64 (exp.f64 2) x))
(*.f64 x (log.f64 (exp.f64 2)))
(cbrt.f64 (+.f64 x x))
-1
(expm1.f64 (log1p.f64 (+.f64 x x)))
-1
(hypot.f64 x x)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
-1
(log1p.f64 (expm1.f64 (+.f64 x x)))
-1
(fma.f64 x x (*.f64 x x))
-1
(fma.f64 1 x x)
(+.f64 -1 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 -1 (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)

localize21.0ms (0.5%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

localize57.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	50.5%	(+.f64 (+.f64 1 x) (-.f64 x 1))

Compiler

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (+.f64 1 x) (-.f64 x 1))
0.0ms	x	@	-inf	(+.f64 (+.f64 1 x) (-.f64 x 1))
0.0ms	x	@	inf	(+.f64 (+.f64 1 x) (-.f64 x 1))

rewrite100.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`prod-diff`
1074×	`unpow-prod-down`
1046×	`fma-def`
688×	`log-prod`
578×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	166	19
2	2536	15

Stop Event

1×	node limit

Counts

1 → 115

Calls

Call 1

Inputs
(+.f64 (+.f64 1 x) (-.f64 x 1))

Outputs
(-.f64 x (-.f64 1 (+.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (exp.f64 (log1p.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 1 (-.f64 x (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 1 (-.f64 x (+.f64 x -1)))))
(*.f64 1 (expm1.f64 (log1p.f64 (+.f64 x x))))
(*.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2) (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2))
(*.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1)))) 1))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (+.f64 1 (-.f64 x (+.f64 x -1)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 x (+.f64 x -1)))) 1))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (log1p.f64 (+.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) (cbrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2) 1/3) (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 5/2) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))) (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 x (+.f64 x -1))) (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 (pow.f64 (+.f64 1 x) 2) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)) (+.f64 1 (-.f64 x (+.f64 x -1))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x) (.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 (pow.f64 x 3) -1))) (.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 x) (.f64 (fma.f64 x (+.f64 x -1) 1) (fma.f64 x x -1))) (.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 1 x)))
(/.f64 (fma.f64 (-.f64 1 (.f64 x x)) (+.f64 (fma.f64 x x 1) x) (.f64 (-.f64 1 x) (+.f64 (pow.f64 x 3) -1))) (*.f64 (-.f64 1 x) (+.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 (-.f64 1 (.f64 x x)) (+.f64 1 x) (.f64 (-.f64 1 x) (fma.f64 x x -1))) (*.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x 3) -1) (fma.f64 x (+.f64 x -1) 1) (.f64 (+.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))) (.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x 3) -1) (-.f64 1 x) (.f64 (+.f64 (fma.f64 x x 1) x) (-.f64 1 (.f64 x x)))) (*.f64 (+.f64 (fma.f64 x x 1) x) (-.f64 1 x)))
(/.f64 (fma.f64 (fma.f64 x x -1) (fma.f64 x (+.f64 x -1) 1) (.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (.f64 (+.f64 1 x) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (fma.f64 (fma.f64 x x -1) (-.f64 1 x) (.f64 (+.f64 1 x) (-.f64 1 (.f64 x x)))) (*.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2))) (neg.f64 (+.f64 1 (-.f64 x (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 x -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (+.f64 x -1)) 2) (+.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (+.f64 1 (*.f64 (+.f64 1 (+.f64 x x)) 1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 x -1)) 2)) (-.f64 1 (+.f64 x (+.f64 x -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 1 x) 2)) (-.f64 (+.f64 x -1) (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) 1) (+.f64 (+.f64 1 (+.f64 x x)) 1))
(pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))) (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (-.f64 x (+.f64 x -1))) (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2))) -1)
(sqrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 2))
(log.f64 (exp.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 x)) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 x))) (exp.f64 (+.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 (expm1.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (+.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (+.f64 1 (expm1.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3))
(expm1.f64 (log1p.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x -1))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (+.f64 x -1))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (+.f64 x (+.f64 x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (+.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (+.f64 x (+.f64 x -1)))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(fma.f64 1 x (+.f64 1 (+.f64 x -1)))
(fma.f64 1 x (+.f64 -1 (+.f64 1 x)))
(fma.f64 1 x (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 1 (+.f64 1 x) (+.f64 x -1))
(fma.f64 1 (+.f64 x -1) (+.f64 1 x))
(fma.f64 1 (+.f64 x (+.f64 x -1)) 1)
(fma.f64 1 (+.f64 1 (+.f64 x x)) -1)
(fma.f64 x 1 (+.f64 1 (+.f64 x -1)))
(fma.f64 x 1 (+.f64 -1 (+.f64 1 x)))
(fma.f64 x 1 (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (+.f64 1 x) 1 (+.f64 x -1))
(fma.f64 (+.f64 x -1) 1 (+.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (+.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (+.f64 x -1))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (+.f64 1 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) (+.f64 x -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 1 (+.f64 x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (+.f64 1 (+.f64 x -1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 x -1))
(fma.f64 (+.f64 (pow.f64 x 3) -1) (/.f64 1 (+.f64 (fma.f64 x x 1) x)) (+.f64 1 x))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (+.f64 x -1))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 1 x)) (+.f64 1 x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (+.f64 x -1))) (cbrt.f64 (+.f64 x (+.f64 x -1)))) (cbrt.f64 (+.f64 x (+.f64 x -1))) 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) (cbrt.f64 (+.f64 1 (+.f64 x x)))) (cbrt.f64 (+.f64 1 (+.f64 x x))) -1)
(fma.f64 (sqrt.f64 (+.f64 x (+.f64 x -1))) (sqrt.f64 (+.f64 x (+.f64 x -1))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (sqrt.f64 (+.f64 1 (+.f64 x x))) -1)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (+.f64 1 x))
(fma.f64 (/.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (+.f64 1 x))
(fma.f64 (/.f64 (fma.f64 x x -1) (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 1 x))

simplify100.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1052×	`associate-+r+`
836×	`associate-+l+`
634×	`*-commutative`
524×	`cancel-sign-sub-inv`
388×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	3137
1	816	2755
2	2516	2581

Stop Event

1×	node limit

Counts

127 → 158

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(-.f64 x (-.f64 1 (+.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (exp.f64 (log1p.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 1 (-.f64 x (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 1 (-.f64 x (+.f64 x -1)))))
(*.f64 1 (expm1.f64 (log1p.f64 (+.f64 x x))))
(*.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2) (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2))
(*.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1)))) 1))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (+.f64 1 (-.f64 x (+.f64 x -1)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 x (+.f64 x -1)))) 1))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (log1p.f64 (+.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) (cbrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2) 1/3) (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 5/2) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))) (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 x (+.f64 x -1))) (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 (pow.f64 (+.f64 1 x) 2) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)) (+.f64 1 (-.f64 x (+.f64 x -1))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x) (.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 (pow.f64 x 3) -1))) (.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 x) (.f64 (fma.f64 x (+.f64 x -1) 1) (fma.f64 x x -1))) (.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 1 x)))
(/.f64 (fma.f64 (-.f64 1 (.f64 x x)) (+.f64 (fma.f64 x x 1) x) (.f64 (-.f64 1 x) (+.f64 (pow.f64 x 3) -1))) (*.f64 (-.f64 1 x) (+.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 (-.f64 1 (.f64 x x)) (+.f64 1 x) (.f64 (-.f64 1 x) (fma.f64 x x -1))) (*.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x 3) -1) (fma.f64 x (+.f64 x -1) 1) (.f64 (+.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))) (.f64 (+.f64 (fma.f64 x x 1) x) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x 3) -1) (-.f64 1 x) (.f64 (+.f64 (fma.f64 x x 1) x) (-.f64 1 (.f64 x x)))) (*.f64 (+.f64 (fma.f64 x x 1) x) (-.f64 1 x)))
(/.f64 (fma.f64 (fma.f64 x x -1) (fma.f64 x (+.f64 x -1) 1) (.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (.f64 (+.f64 1 x) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (fma.f64 (fma.f64 x x -1) (-.f64 1 x) (.f64 (+.f64 1 x) (-.f64 1 (.f64 x x)))) (*.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2))) (neg.f64 (+.f64 1 (-.f64 x (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 x -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (+.f64 x -1)) 2) (+.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (+.f64 1 (*.f64 (+.f64 1 (+.f64 x x)) 1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 x -1)) 2)) (-.f64 1 (+.f64 x (+.f64 x -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 1 x) 2)) (-.f64 (+.f64 x -1) (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) 1) (+.f64 (+.f64 1 (+.f64 x x)) 1))
(pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))) (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (-.f64 x (+.f64 x -1))) (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2))) -1)
(sqrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 2))
(log.f64 (exp.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 x)) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 x))) (exp.f64 (+.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 (expm1.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (+.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (+.f64 1 (expm1.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 3))
(expm1.f64 (log1p.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x -1))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (+.f64 x -1))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (+.f64 x (+.f64 x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (+.f64 x (+.f64 x -1)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (+.f64 x (+.f64 x -1)))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(fma.f64 1 x (+.f64 1 (+.f64 x -1)))
(fma.f64 1 x (+.f64 -1 (+.f64 1 x)))
(fma.f64 1 x (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 1 (+.f64 1 x) (+.f64 x -1))
(fma.f64 1 (+.f64 x -1) (+.f64 1 x))
(fma.f64 1 (+.f64 x (+.f64 x -1)) 1)
(fma.f64 1 (+.f64 1 (+.f64 x x)) -1)
(fma.f64 x 1 (+.f64 1 (+.f64 x -1)))
(fma.f64 x 1 (+.f64 -1 (+.f64 1 x)))
(fma.f64 x 1 (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (+.f64 1 x) 1 (+.f64 x -1))
(fma.f64 (+.f64 x -1) 1 (+.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (+.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (+.f64 x -1))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (+.f64 1 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) (+.f64 x -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 1 (+.f64 x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (+.f64 1 (+.f64 x -1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (+.f64 -1 (+.f64 1 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (neg.f64 (-.f64 1 (+.f64 1 x))))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 x -1))
(fma.f64 (+.f64 (pow.f64 x 3) -1) (/.f64 1 (+.f64 (fma.f64 x x 1) x)) (+.f64 1 x))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (+.f64 x -1))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 1 x)) (+.f64 1 x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (+.f64 x -1))) (cbrt.f64 (+.f64 x (+.f64 x -1)))) (cbrt.f64 (+.f64 x (+.f64 x -1))) 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) (cbrt.f64 (+.f64 1 (+.f64 x x)))) (cbrt.f64 (+.f64 1 (+.f64 x x))) -1)
(fma.f64 (sqrt.f64 (+.f64 x (+.f64 x -1))) (sqrt.f64 (+.f64 x (+.f64 x -1))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (sqrt.f64 (+.f64 1 (+.f64 x x))) -1)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (+.f64 1 x))
(fma.f64 (/.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (+.f64 1 x))
(fma.f64 (/.f64 (fma.f64 x x -1) (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 1 x))

Outputs
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(*.f64 2 x)
(+.f64 x x)
(-.f64 x (-.f64 1 (+.f64 1 x)))
(+.f64 x x)
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(+.f64 x x)
(-.f64 (exp.f64 (log1p.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 1)
(+.f64 x x)
(-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 1 (-.f64 x (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 1 (-.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x -1) 2)) (-.f64 (+.f64 x 1) (+.f64 x -1)))
(.f64 (.f64 (+.f64 x x) 2) 1/2)
(/.f64 (+.f64 x x) 1)
(*.f64 1 (expm1.f64 (log1p.f64 (+.f64 x x))))
(+.f64 x x)
(*.f64 (expm1.f64 (log1p.f64 (+.f64 x x))) 1)
(+.f64 x x)
(*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2))
(+.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2) (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(+.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))) (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(+.f64 x x)
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x -1) 2)) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 2 (+.f64 x x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 x) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x -1) 2)) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 2 (+.f64 x x))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (+.f64 1 (-.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x -1) 2)) (-.f64 (+.f64 x 1) (+.f64 x -1)))
(.f64 (.f64 (+.f64 x x) 2) 1/2)
(/.f64 (+.f64 x x) 1)
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 (+.f64 x -1) 2)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 x (+.f64 x -1)))) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x -1) 2)) (-.f64 (+.f64 x 1) (+.f64 x -1)))
(.f64 (.f64 (+.f64 x x) 2) 1/2)
(/.f64 (+.f64 x x) 1)
(*.f64 (pow.f64 1 1/3) (expm1.f64 (log1p.f64 (+.f64 x x))))
(+.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (+.f64 x x))))) 3))
(+.f64 x x)
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(+.f64 x x)
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (+.f64 x (+.f64 x -1)))) 2))
(+.f64 x x)
(log1p.f64 (expm1.f64 (expm1.f64 (log1p.f64 (+.f64 x x)))))
(+.f64 x x)
(fma.f64 1 x (+.f64 1 (+.f64 x -1)))
(+.f64 x x)
(fma.f64 1 x (+.f64 -1 (+.f64 1 x)))
(+.f64 x x)
(fma.f64 1 x (neg.f64 (-.f64 1 (+.f64 1 x))))
(+.f64 x x)
(fma.f64 1 (+.f64 1 x) (+.f64 x -1))
(+.f64 x x)
(fma.f64 1 (+.f64 x -1) (+.f64 1 x))
(+.f64 x x)
(fma.f64 1 (+.f64 x (+.f64 x -1)) 1)
(+.f64 x x)
(fma.f64 1 (+.f64 1 (+.f64 x x)) -1)
(+.f64 x x)
(fma.f64 x 1 (+.f64 1 (+.f64 x -1)))
(+.f64 x x)
(fma.f64 x 1 (+.f64 -1 (+.f64 1 x)))
(+.f64 x x)
(fma.f64 x 1 (neg.f64 (-.f64 1 (+.f64 1 x))))
(+.f64 x x)
(fma.f64 (+.f64 1 x) 1 (+.f64 x -1))
(+.f64 x x)
(fma.f64 (+.f64 x -1) 1 (+.f64 1 x))
(+.f64 x x)
(fma.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 1 x))
(+.f64 x x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (+.f64 1 x))
(+.f64 x x)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 x -1))
(+.f64 x x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (+.f64 x -1))
(+.f64 x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (+.f64 x -1)))
(+.f64 x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 -1 (+.f64 1 x)))
(+.f64 x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 1 (+.f64 1 x))))
(+.f64 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 1 (+.f64 x -1)))
(+.f64 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 -1 (+.f64 1 x)))
(+.f64 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 1 (+.f64 1 x))))
(+.f64 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 1 (+.f64 x -1)))
(+.f64 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 -1 (+.f64 1 x)))
(+.f64 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (neg.f64 (-.f64 1 (+.f64 1 x))))
(+.f64 x x)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (+.f64 1 x))
(+.f64 x x)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) (+.f64 x -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 1 (+.f64 x -1)))
(+.f64 x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 -1 (+.f64 1 x)))
(+.f64 x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 1 (+.f64 1 x))))
(+.f64 x x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (+.f64 1 (+.f64 x -1)))
(+.f64 x x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (+.f64 -1 (+.f64 1 x)))
(+.f64 x x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (neg.f64 (-.f64 1 (+.f64 1 x))))
(+.f64 x x)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 x -1))
(+.f64 x (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1))))
(fma.f64 (+.f64 (pow.f64 x 3) -1) (/.f64 1 (+.f64 (fma.f64 x x 1) x)) (+.f64 1 x))
(fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (+.f64 x (fma.f64 x x 1))) (+.f64 x 1))
(+.f64 1 (+.f64 x (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1)))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (+.f64 x -1))
(+.f64 x (+.f64 -1 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 1 x)) (+.f64 1 x))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)) (+.f64 x 1))
(+.f64 x (+.f64 1 (/.f64 (fma.f64 x x -1) (+.f64 x 1))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (+.f64 x -1))) (cbrt.f64 (+.f64 x (+.f64 x -1)))) (cbrt.f64 (+.f64 x (+.f64 x -1))) 1)
(+.f64 x x)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) (cbrt.f64 (+.f64 1 (+.f64 x x)))) (cbrt.f64 (+.f64 1 (+.f64 x x))) -1)
(+.f64 x x)
(fma.f64 (sqrt.f64 (+.f64 x (+.f64 x -1))) (sqrt.f64 (+.f64 x (+.f64 x -1))) 1)
(+.f64 x x)
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (sqrt.f64 (+.f64 1 (+.f64 x x))) -1)
(+.f64 x x)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (+.f64 1 x))
(+.f64 x x)
(fma.f64 (/.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (+.f64 1 x))
(fma.f64 (/.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) (+.f64 x 1))
(fma.f64 (/.f64 (fma.f64 x x -1) (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 1 x))
(fma.f64 (/.f64 (fma.f64 x x -1) (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 x 1))

localize92.0ms (2.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(.f64 4 (.f64 x x))
✓	73.2%	(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)

rewrite60.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`pow1`
1696×	`add-exp-log`
1694×	`log1p-expm1-u`
1694×	`expm1-log1p-u`
1674×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	198	13
2	2633	13

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)

Outputs
(+.f64 1 (fma.f64 4 (*.f64 x x) -1))
(+.f64 1 (.f64 (fma.f64 4 (.f64 x x) -1) 1))
(+.f64 (pow.f64 (*.f64 x 2) 2) 0)
(+.f64 (fma.f64 4 (*.f64 x x) 1) -1)
(+.f64 -1 (fma.f64 4 (*.f64 x x) 1))
(+.f64 (fma.f64 4 (*.f64 x x) -1) 1)
(.f64 1 (pow.f64 (.f64 x 2) 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (.f64 x x) 4)
(.f64 (pow.f64 (.f64 x 2) 2) 1)
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 4))
(.f64 (cbrt.f64 (pow.f64 (.f64 x 2) 2)) (cbrt.f64 (*.f64 (pow.f64 x 4) 16)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (pow.f64 (*.f64 x 2) 2)))
(.f64 (.f64 x 2) (*.f64 x 2))
(.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (.f64 x 2) 2) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 2) 2) 2)))
(.f64 (.f64 4 x) x)
(.f64 (+.f64 (hypot.f64 1 (.f64 x 2)) 1) (-.f64 (hypot.f64 1 (*.f64 x 2)) 1))
(.f64 (.f64 4 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (*.f64 4 x) 1) x)
(.f64 (.f64 (.f64 4 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (*.f64 4 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (.f64 x 2) 2) 2)) (+.f64 (pow.f64 (fma.f64 4 (*.f64 x x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 2) 2) 2) (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (*.f64 x 2) 2) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 4 (.f64 x x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1) (+.f64 (pow.f64 (.f64 x 2) 2) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 4 (.f64 x x) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (*.f64 x 2) 2) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (pow.f64 (.f64 x 2) 2) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 4 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 4 (.f64 x x) -1) (fma.f64 4 (.f64 x x) -1)) (fma.f64 4 (*.f64 x x) -1))))
(/.f64 (-.f64 1 (.f64 (fma.f64 4 (.f64 x x) -1) (fma.f64 4 (.f64 x x) -1))) (-.f64 1 (fma.f64 4 (.f64 x x) -1)))
(pow.f64 (pow.f64 (*.f64 x 2) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 2) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 x 2) 2) 3) 1/3)
(pow.f64 (*.f64 x 2) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 16))
(log.f64 (exp.f64 (pow.f64 (*.f64 x 2) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 2) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x 2) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 2) 2)))
(fma.f64 1 (fma.f64 4 (*.f64 x x) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 4 (.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x 2)) (hypot.f64 1 (.f64 x 2)) -1)

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1382×	`fma-neg`
1280×	`fma-def`
968×	`log-prod`
850×	`div-sub`
788×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1518
1	269	1404
2	1036	1392
3	4887	1262

Stop Event

1×	node limit

Counts

58 → 64

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(+.f64 1 (fma.f64 4 (*.f64 x x) -1))
(+.f64 1 (.f64 (fma.f64 4 (.f64 x x) -1) 1))
(+.f64 (pow.f64 (*.f64 x 2) 2) 0)
(+.f64 (fma.f64 4 (*.f64 x x) 1) -1)
(+.f64 -1 (fma.f64 4 (*.f64 x x) 1))
(+.f64 (fma.f64 4 (*.f64 x x) -1) 1)
(.f64 1 (pow.f64 (.f64 x 2) 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (.f64 x x) 4)
(.f64 (pow.f64 (.f64 x 2) 2) 1)
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 4))
(.f64 (cbrt.f64 (pow.f64 (.f64 x 2) 2)) (cbrt.f64 (*.f64 (pow.f64 x 4) 16)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (pow.f64 (*.f64 x 2) 2)))
(.f64 (.f64 x 2) (*.f64 x 2))
(.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (.f64 x 2) 2) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 2) 2) 2)))
(.f64 (.f64 4 x) x)
(.f64 (+.f64 (hypot.f64 1 (.f64 x 2)) 1) (-.f64 (hypot.f64 1 (*.f64 x 2)) 1))
(.f64 (.f64 4 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (*.f64 4 x) 1) x)
(.f64 (.f64 (.f64 4 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (*.f64 4 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (.f64 x 2) 2) 2)) (+.f64 (pow.f64 (fma.f64 4 (*.f64 x x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 2) 2) 2) (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (*.f64 x 2) 2) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 4 (.f64 x x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1) (+.f64 (pow.f64 (.f64 x 2) 2) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 4 (.f64 x x) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (*.f64 x 2) 2) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (pow.f64 (.f64 x 2) 2) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 4 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 4 (.f64 x x) -1) (fma.f64 4 (.f64 x x) -1)) (fma.f64 4 (*.f64 x x) -1))))
(/.f64 (-.f64 1 (.f64 (fma.f64 4 (.f64 x x) -1) (fma.f64 4 (.f64 x x) -1))) (-.f64 1 (fma.f64 4 (.f64 x x) -1)))
(pow.f64 (pow.f64 (*.f64 x 2) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 2) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 x 2) 2) 3) 1/3)
(pow.f64 (*.f64 x 2) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 16))
(log.f64 (exp.f64 (pow.f64 (*.f64 x 2) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 2) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x 2) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 2) 2)))
(fma.f64 1 (fma.f64 4 (*.f64 x x) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 4 (.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x 2)) (hypot.f64 1 (.f64 x 2)) -1)

Outputs
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(+.f64 1 (fma.f64 4 (*.f64 x x) -1))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(+.f64 1 (.f64 (fma.f64 4 (.f64 x x) -1) 1))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(+.f64 (pow.f64 (*.f64 x 2) 2) 0)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(+.f64 (fma.f64 4 (*.f64 x x) 1) -1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(+.f64 -1 (fma.f64 4 (*.f64 x x) 1))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(+.f64 (fma.f64 4 (*.f64 x x) -1) 1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 1 (pow.f64 (.f64 x 2) 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 x (.f64 4 x))
(.f64 4 (.f64 x x))
(.f64 (.f64 x x) 4)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (pow.f64 (.f64 x 2) 2) 1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 4))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 4 (cbrt.f64 (*.f64 x x))))
(.f64 4 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x 2) 2)) (cbrt.f64 (*.f64 (pow.f64 x 4) 16)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (pow.f64 (*.f64 x 2) 2)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (.f64 x 2) (*.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (.f64 x 2) 2) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 2 (.f64 4 (*.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2) (fma.f64 x (*.f64 4 x) 2)))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x (.f64 x -4) -1) 3)) (fma.f64 (fma.f64 x (.f64 4 x) 1) (fma.f64 4 (*.f64 x x) 2) 1))
(.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 2) 2) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2)) (/.f64 1 (+.f64 2 (.f64 4 (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 4 x) 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 x -4) -2))
(/.f64 1 (/.f64 1 (.f64 x (.f64 4 x))))
(.f64 (.f64 4 x) x)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (+.f64 (hypot.f64 1 (.f64 x 2)) 1) (-.f64 (hypot.f64 1 (*.f64 x 2)) 1))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (.f64 4 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 4 (cbrt.f64 (*.f64 x x))))
(.f64 4 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (*.f64 4 x) 1) x)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(.f64 (.f64 (.f64 4 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 4 (.f64 x (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 4 x) (cbrt.f64 x)))
(.f64 (.f64 4 x) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(.f64 (.f64 (*.f64 4 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (.f64 x 2) 2) 2)) (+.f64 (pow.f64 (fma.f64 4 (*.f64 x x) 1) 3) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 2 (.f64 4 (*.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2) (fma.f64 x (*.f64 4 x) 2)))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x (.f64 x -4) -1) 3)) (fma.f64 (fma.f64 x (.f64 4 x) 1) (fma.f64 4 (*.f64 x x) 2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 2) 2) 2) (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2)) (/.f64 1 (+.f64 2 (.f64 4 (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 4 x) 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 x -4) -2))
(/.f64 1 (/.f64 1 (.f64 x (.f64 4 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (*.f64 x 2) 2) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 2 (.f64 4 (*.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2) (fma.f64 x (*.f64 4 x) 2)))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x (.f64 x -4) -1) 3)) (fma.f64 (fma.f64 x (.f64 4 x) 1) (fma.f64 4 (*.f64 x x) 2) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (-.f64 1 (.f64 (fma.f64 4 (.f64 x x) 1) -1))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 2 (.f64 4 (*.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2) (fma.f64 x (*.f64 4 x) 2)))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x (.f64 x -4) -1) 3)) (fma.f64 (fma.f64 x (.f64 4 x) 1) (fma.f64 4 (*.f64 x x) 2) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1) (+.f64 (pow.f64 (.f64 x 2) 2) 2))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2)) (/.f64 1 (+.f64 2 (.f64 4 (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 4 x) 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 x -4) -2))
(/.f64 1 (/.f64 1 (.f64 x (.f64 4 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1) (-.f64 (fma.f64 4 (.f64 x x) 1) -1))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2)) (/.f64 1 (+.f64 2 (.f64 4 (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 4 x) 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 x -4) -2))
(/.f64 1 (/.f64 1 (.f64 x (.f64 4 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 (pow.f64 (*.f64 x 2) 2) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) (+.f64 2 (.f64 4 (*.f64 x x))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2) (fma.f64 x (*.f64 4 x) 2)))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x (.f64 x -4) -1) 3)) (fma.f64 (fma.f64 x (.f64 4 x) 1) (fma.f64 4 (*.f64 x x) 2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (pow.f64 (.f64 x 2) 2) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 4 (.f64 x x) 1) 2)) (/.f64 1 (+.f64 2 (.f64 4 (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 4 x) 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (.f64 4 x) 1) 2)) (fma.f64 x (.f64 x -4) -2))
(/.f64 1 (/.f64 1 (.f64 x (.f64 4 x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 4 (.f64 x x) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 4 (.f64 x x) -1) (fma.f64 4 (.f64 x x) -1)) (fma.f64 4 (*.f64 x x) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 4 (.f64 x x) -1) 3)) (+.f64 1 (.f64 (fma.f64 4 (.f64 x x) -1) (-.f64 (fma.f64 4 (.f64 x x) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (.f64 4 x) -1) 3)) (fma.f64 (fma.f64 x (.f64 4 x) -1) (+.f64 (.f64 x (.f64 4 x)) -2) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 4 (.f64 x x) -1) 3)) (fma.f64 (fma.f64 4 (.f64 x x) -1) (+.f64 (.f64 x (.f64 4 x)) -2) 1))
(/.f64 (-.f64 1 (.f64 (fma.f64 4 (.f64 x x) -1) (fma.f64 4 (.f64 x x) -1))) (-.f64 1 (fma.f64 4 (.f64 x x) -1)))
(/.f64 (fma.f64 (fma.f64 x (.f64 4 x) -1) (fma.f64 x (.f64 x -4) 1) 1) (+.f64 (.f64 x (.f64 x -4)) 2))
(/.f64 (fma.f64 (fma.f64 4 (.f64 x x) -1) (fma.f64 x (.f64 x -4) 1) 1) (+.f64 2 (.f64 x (.f64 x -4))))
(pow.f64 (pow.f64 (*.f64 x 2) 2) 1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 2) 2)) 3)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x 2) 2) 3) 1/3)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (*.f64 x 2) 2)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 16))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(log.f64 (exp.f64 (pow.f64 (*.f64 x 2) 2)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 2) 2) 3))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 2) 2)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(exp.f64 (log.f64 (pow.f64 (*.f64 x 2) 2)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 2) 2)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(fma.f64 1 (fma.f64 4 (*.f64 x x) 1) -1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 4 (.f64 x x) 1)) -1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(fma.f64 (hypot.f64 1 (.f64 x 2)) (hypot.f64 1 (.f64 x 2)) -1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))

eval89.0ms (2.3%)

Compiler: Compiled 4109 to 2673 computations (34.9% saved)

prune50.0ms (1.3%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	0	1	1
Picked	0	1	1
Done	1	10	11
Total	284	14	298

Accurracy

100.0%

Counts

298 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
	7.0%	(/.f64 1 (/.f64 1 (.f64 x (.f64 4 x))))
✓	8.1%	(-.f64 (+.f64 1 (+.f64 x x)) 1)
✓	6.2%	(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
	11.6%	(-.f64 x (-.f64 1 (+.f64 1 x)))
✓	11.6%	(+.f64 x x)
✓	6.3%	(+.f64 -1 x)
✓	52.8%	(*.f64 (sqrt.f64 2) x)
✓	7.0%	(.f64 x (.f64 4 x))
✓	7.0%	(*.f64 x x)
✓	7.0%	(.f64 4 (.f64 x x))
✓	7.0%	(.f64 2 (.f64 x (+.f64 x x)))
✓	54.1%	(sqrt.f64 (*.f64 x (+.f64 x x)))
	1.7%	-1

Compiler

Compiled 86 to 60 computations (30.2% saved)

regimes33.0ms (0.9%)

Counts

18 → 1

Calls

Call 1

Inputs
-1
(*.f64 x x)
(+.f64 -1 x)
(+.f64 x x)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 (+.f64 x x) x)
(.f64 2 (.f64 x (+.f64 x x)))
(*.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (+.f64 1 x) (-.f64 x 1))
(-.f64 x (-.f64 1 (+.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
(/.f64 1 (/.f64 1 (.f64 x (.f64 4 x))))
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(hypot.f64 x x)

Calls

4 calls:

9.0ms	x
7.0ms	(+.f64 (.f64 x x) (.f64 x x))
6.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
6.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 123 to 60 computations (51.2% saved)

regimes24.0ms (0.6%)

Counts

14 → 2

Calls

Call 1

Inputs
-1
(*.f64 x x)
(+.f64 -1 x)
(+.f64 x x)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 (+.f64 x x) x)
(.f64 2 (.f64 x (+.f64 x x)))
(*.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (+.f64 1 x) (-.f64 x 1))
(-.f64 x (-.f64 1 (+.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
(/.f64 1 (/.f64 1 (.f64 x (.f64 4 x))))

Outputs
(.f64 4 (.f64 x x))
(-.f64 x (-.f64 1 (+.f64 1 x)))

Calls

2 calls:

15.0ms	x
7.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
13.8%	2	`x`
11.6%	1	`(*.f64 x x)`

Compiler

Compiled 85 to 46 computations (45.9% saved)

bsearch19.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-8.481162287159326e-292	2.1475840098542927e-291

Results

17.0ms

176×

body

256

valid

Compiler

Compiled 189 to 139 computations (26.5% saved)

regimes17.0ms (0.5%)

Counts

10 → 2

Calls

Call 1

Inputs
-1
(*.f64 x x)
(+.f64 -1 x)
(+.f64 x x)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 (+.f64 x x) x)
(.f64 2 (.f64 x (+.f64 x x)))
(*.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (+.f64 1 x) (-.f64 x 1))

Outputs
(.f64 4 (.f64 x x))
(+.f64 x x)

Calls

2 calls:

11.0ms	x
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
13.8%	2	`x`
11.6%	1	`(*.f64 x x)`

Compiler

Compiled 53 to 24 computations (54.7% saved)

bsearch18.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-8.481162287159326e-292	2.1475840098542927e-291

Results

17.0ms

176×

body

256

valid

Compiler

Compiled 145 to 95 computations (34.5% saved)

regimes11.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

Inputs
-1
(*.f64 x x)
(+.f64 -1 x)
(+.f64 x x)

Outputs
(*.f64 x x)
(+.f64 x x)

Calls

2 calls:

7.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
13.8%	2	`x`
11.6%	1	`(*.f64 x x)`

Compiler

Compiled 17 to 9 computations (47.1% saved)

bsearch22.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-8.481162287159326e-292	2.1475840098542927e-291

Results

20.0ms

176×

body

256

valid

Compiler

Compiled 123 to 73 computations (40.7% saved)

regimes12.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs
-1
(*.f64 x x)
(+.f64 -1 x)

Outputs
(*.f64 x x)
(+.f64 -1 x)

Calls

2 calls:

6.0ms	x
5.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
10.1%	2	`x`
8.7%	2	`(*.f64 x x)`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch13.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.6905170359286108	462230266.2816555

Results

12.0ms

144×

body

256

valid

Compiler

Compiled 103 to 70 computations (32% saved)

regimes11.0ms (0.3%)

Accuracy

Total -3.4b remaining (-5.7%)

Threshold costs -3.4b (-5.7%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

2 calls:

8.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
7.0%	1	`x`
7.0%	1	`(*.f64 x x)`

Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

72×	`unsub-neg`
56×	`distribute-lft-neg-in`
52×	`neg-mul-1`
44×	`neg-sub0`
38×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
1	35	131
2	47	131
3	68	131
4	117	131
5	152	131
6	186	131
7	215	131
8	251	131
9	276	131
10	286	131
11	292	131

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 4 (.f64 x x)) (-.f64 x (-.f64 1 (+.f64 1 x))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 4 (.f64 x x)) (+.f64 x x))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 x x) (+.f64 x x))
(if (<=.f64 x 3) (*.f64 x x) (+.f64 -1 x))
(*.f64 x x)
-1

Outputs
(hypot.f64 x x)
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 4 (.f64 x x)) (-.f64 x (-.f64 1 (+.f64 1 x))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 4 (.f64 x x)) (-.f64 x (-.f64 1 (+.f64 x 1))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 4 (.f64 x x)) (+.f64 x (+.f64 (+.f64 x 1) -1)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 4 (.f64 x x)) (+.f64 x x))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 x x) (+.f64 x x))
(if (<=.f64 x 3) (*.f64 x x) (+.f64 -1 x))
(if (<=.f64 x 3) (*.f64 x x) (+.f64 x -1))
(*.f64 x x)
-1

Compiler

Compiled 62 to 39 computations (37.1% saved)

soundness813.0ms (21.3%)

Rules

1948×	`prod-diff`
1506×	`pow1`
1420×	`add-exp-log`
1416×	`log1p-expm1-u`
1416×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	17	7
3	20	7
0	4	7
1	80	7
2	933	7
0	7	17
1	148	7
2	2053	7
0	148	469
1	427	469
0	7	14
1	150	14
2	2020	14
0	136	872
1	390	872
0	7	17
1	148	7
2	2053	7
0	148	469
1	427	469
0	136	872
1	390	872
0	7	17
1	148	7
2	2053	7
0	7	17
1	148	7
2	2053	7
0	7	19
1	165	7
2	2610	7
0	7	19
1	166	19
2	2536	15

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	unsound
1×	unsound
1×	node limit
1×	unsound
1×	node limit
1×	unsound
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 967 to 303 computations (68.7% saved)

end47.0ms (1.2%)

Compiler: Compiled 130 to 64 computations (50.8% saved)

Iter	Nodes	Cost
0	25	131
1	35	131
2	47	131
3	68	131
4	117	131
5	152	131
6	186	131
7	215	131
8	251	131
9	276	131
10	286	131
11	292	131

Iter	Nodes	Cost
0	25	131
1	35	131
2	47	131
3	68	131
4	117	131
5	152	131
6	186	131
7	215	131
8	251	131
9	276	131
10	286	131
11	292	131

Details

analyze0.0ms (0%)

sample684.0ms (17.9%)

preprocess50.0ms (1.3%)

simplify12.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize23.0ms (0.6%)

series2.0ms (0.1%)

rewrite86.0ms (2.3%)

simplify49.0ms (1.3%)

localize20.0ms (0.5%)

series2.0ms (0%)

rewrite45.0ms (1.2%)

simplify49.0ms (1.3%)

eval42.0ms (1.1%)

prune25.0ms (0.7%)

localize49.0ms (1.3%)

series0.0ms (0%)

rewrite66.0ms (1.7%)

simplify19.0ms (0.5%)

localize32.0ms (0.8%)

localize56.0ms (1.5%)

localize17.0ms (0.4%)

localize23.0ms (0.6%)

series0.0ms (0%)

rewrite63.0ms (1.6%)

simplify66.0ms (1.7%)

eval17.0ms (0.4%)

prune14.0ms (0.4%)

localize18.0ms (0.5%)

series1.0ms (0%)

rewrite105.0ms (2.8%)

simplify58.0ms (1.5%)

localize17.0ms (0.4%)

localize16.0ms (0.4%)

localize54.0ms (1.4%)

series1.0ms (0%)

rewrite118.0ms (3.1%)

simplify22.0ms (0.6%)

eval35.0ms (0.9%)

prune21.0ms (0.5%)

localize43.0ms (1.1%)

series0.0ms (0%)

rewrite86.0ms (2.2%)

simplify17.0ms (0.4%)

localize21.0ms (0.5%)

localize57.0ms (1.5%)

series0.0ms (0%)

rewrite100.0ms (2.6%)

simplify100.0ms (2.6%)

localize92.0ms (2.4%)

series0.0ms (0%)

rewrite60.0ms (1.6%)

simplify71.0ms (1.9%)

eval89.0ms (2.3%)

prune50.0ms (1.3%)

regimes33.0ms (0.9%)

regimes24.0ms (0.6%)

bsearch19.0ms (0.5%)

regimes17.0ms (0.5%)

bsearch18.0ms (0.5%)

regimes11.0ms (0.3%)

bsearch22.0ms (0.6%)

regimes12.0ms (0.3%)

bsearch13.0ms (0.4%)

regimes11.0ms (0.3%)

simplify17.0ms (0.4%)

soundness813.0ms (21.3%)

end47.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	25	131
1	35	131
2	47	131
3	68	131
4	117	131
5	152	131
6	186	131
7	215	131
8	251	131
9	276	131
10	286	131
11	292	131