Metrics for sqrt A (should all be same)

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)

sample837.0ms (32.2%)

Results

826.0ms	8255×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess20.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

174×	`fma-def`
40×	`associate-r`
28×	`distribute-lft-neg-in`
22×	`distribute-lft-in`
22×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	31	14
2	75	14
3	183	14
4	284	14
5	341	14

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 10 to 5 computations (50% saved)

simplify5.0ms (0.2%)

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)

eval1.0ms (0%)

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

prune2.0ms (0.1%)

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)
▶	49.6%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
▶	100.0%	(hypot.f64 x x)
▶	49.6%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 26 to 12 computations (53.8% saved)

localize40.0ms (1.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	100.0%	(+.f64 (.f64 x x) (.f64 x x))
✓	49.7%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 25 to 6 computations (76% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite118.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`pow1`
1128×	`add-exp-log`
1126×	`log1p-expm1-u`
1126×	`expm1-log1p-u`
1100×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	169	21
2	2039	21

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(hypot.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 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(/.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 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 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 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(/.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 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 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))
(+.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 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(/.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 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 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)))
(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))

simplify27.0ms (1%)

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	1339
1	390	1339

Stop Event

1×

unsound

Counts

223 → 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 (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 (.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 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(/.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 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 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 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(/.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 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 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))
(+.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 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (/.f64 0 0) x) (+.f64 x x))
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
(/.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 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 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)))
(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 (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 (.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 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 (.f64 (/.f64 0 0) x) (+.f64 x x))
-2
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
-2
(/.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 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (sqrt.f64 (*.f64 x x)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.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 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 (.f64 (/.f64 0 0) x) (+.f64 x x))
-2
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
-2
(/.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 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (sqrt.f64 (*.f64 x x)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.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))
(+.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 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 (.f64 (/.f64 0 0) x) (+.f64 x x))
-2
(.f64 (.f64 (/.f64 0 0) 2) (*.f64 x x))
-2
(/.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 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))
(/.f64 -2 (sqrt.f64 (*.f64 x x)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.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
(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))

eval14.0ms (0.5%)

Compiler: Compiled 614 to 427 computations (30.5% saved)

prune11.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	74	5	79

Accurracy

100.0%

Counts

79 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	20.3%	(+.f64 x x)
▶	99.4%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
▶	99.3%	(*.f64 (sqrt.f64 2) x)
▶	7.1%	(*.f64 x x)
✓	100.0%	(hypot.f64 x x)
▶	20.3%	(+.f64 x x)
▶	99.4%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
▶	99.3%	(*.f64 (sqrt.f64 2) x)
▶	7.1%	(*.f64 x x)

Compiler

Compiled 50 to 30 computations (40% saved)

localize128.0ms (4.9%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	99.3%	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 35 to 13 computations (62.9% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) x)
0.0ms	x	@	inf	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
0.0ms	x	@	0	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) x)

rewrite53.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`pow1`
1358×	`add-exp-log`
1354×	`log1p-expm1-u`
1354×	`expm1-log1p-u`
1328×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	226	14
2	2873	14

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (.f64 x x) (.f64 x x))
(-.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 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 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 (+.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)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(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))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(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 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (.f64 x x) (.f64 x x))
(-.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 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 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 (+.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)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(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))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(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 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)

simplify21.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
20×	`sqr-pow`
18×	`associate-/l*`
14×	`associate-r`
8×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	998
1	280	998

Stop Event

1×

unsound

Counts

98 → 57

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

eval14.0ms (0.5%)

Compiler: Compiled 441 to 274 computations (37.9% saved)

prune11.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	55	7	62

Accurracy

100.0%

Counts

62 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	13.3%	(-.f64 (+.f64 1 (+.f64 x x)) 1)
✓	20.3%	(+.f64 x x)
✓	99.4%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	7.1%	(*.f64 x x)
	3.9%	0
✓	100.0%	(hypot.f64 x x)
▶	13.3%	(-.f64 (+.f64 1 (+.f64 x x)) 1)
✓	20.3%	(+.f64 x x)
✓	99.4%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	7.1%	(*.f64 x x)
	3.9%	0

Compiler

Compiled 70 to 46 computations (34.3% saved)

localize31.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	53.8%	(-.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
0.0ms	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)

rewrite58.0ms (2.2%)

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 (0.8%)

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)

eval30.0ms (1.2%)

Compiler: Compiled 1156 to 772 computations (33.2% saved)

prune19.0ms (0.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	1	1
Picked	0	1	1
Done	0	5	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)
✓	13.3%	(-.f64 (+.f64 1 (+.f64 x x)) 1)
▶	13.3%	(+.f64 (+.f64 1 x) (-.f64 x 1))
✓	20.3%	(+.f64 x x)
▶	11.1%	(+.f64 x -2)
✓	99.4%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	7.1%	(*.f64 x x)
▶	7.1%	(.f64 4 (.f64 x x))
	3.9%	0
✓	100.0%	(hypot.f64 x x)
✓	13.3%	(-.f64 (+.f64 1 (+.f64 x x)) 1)
▶	13.3%	(+.f64 (+.f64 1 x) (-.f64 x 1))
✓	20.3%	(+.f64 x x)
▶	11.1%	(+.f64 x -2)
✓	99.4%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	7.1%	(*.f64 x x)
▶	7.1%	(.f64 4 (.f64 x x))
	3.9%	0

Compiler

Compiled 106 to 72 computations (32.1% saved)

localize53.0ms (2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	53.9%	(+.f64 (+.f64 1 x) (-.f64 x 1))
✓	100.0%	(.f64 4 (.f64 x x))

Compiler

Compiled 32 to 19 computations (40.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 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 (+.f64 1 x) (-.f64 x 1))
0.0ms	x	@	-inf	(.f64 4 (.f64 x x))
0.0ms	x	@	0	(+.f64 (+.f64 1 x) (-.f64 x 1))

rewrite74.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`fma-def`
946×	`log-prod`
726×	`pow-prod-down`
476×	`pow-exp`
472×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	229	32
2	3255	28

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

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

simplify101.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-+r+`
904×	`associate-+l+`
750×	`log-prod`
500×	`*-commutative`
442×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	3399
1	799	3157
2	2349	2797
3	7674	2797

Stop Event

1×	node limit

Counts

149 → 165

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

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

eval49.0ms (1.9%)

Compiler: Compiled 2448 to 1684 computations (31.2% saved)

prune23.0ms (0.9%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	0	1	1
Picked	1	2	3
Done	0	6	6
Total	164	11	175

Accurracy

100.0%

Counts

175 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	13.3%	(-.f64 (+.f64 1 (+.f64 x x)) 1)
	20.3%	(-.f64 x (-.f64 1 (+.f64 x 1)))
	10.2%	(+.f64 (+.f64 x -1) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
✓	20.3%	(+.f64 x x)
✓	11.1%	(+.f64 x -2)
✓	99.4%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	99.3%	(*.f64 (sqrt.f64 2) x)
✓	7.1%	(*.f64 x x)
✓	7.1%	(.f64 4 (.f64 x x))
	3.9%	0

Compiler

Compiled 139 to 85 computations (38.8% saved)

regimes40.0ms (1.5%)

Counts

13 → 1

Calls

Call 1

Inputs
0
(*.f64 x x)
(+.f64 x -2)
(+.f64 x x)
(.f64 4 (.f64 x x))
(+.f64 (+.f64 1 x) (-.f64 x 1))
(-.f64 x (-.f64 1 (+.f64 x 1)))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(+.f64 (+.f64 x -1) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))

Outputs
(hypot.f64 x x)

Calls

4 calls:

17.0ms	(*.f64 x x)
12.0ms	x
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
4.0ms	(+.f64 (.f64 x x) (.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 95 to 49 computations (48.4% saved)

regimes10.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
0
(*.f64 x x)
(+.f64 x -2)
(+.f64 x x)
(.f64 4 (.f64 x x))
(+.f64 (+.f64 1 x) (-.f64 x 1))
(-.f64 x (-.f64 1 (+.f64 x 1)))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(+.f64 (+.f64 x -1) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))

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

Calls

2 calls:

5.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
20.3%	1	`x`
20.3%	1	`(*.f64 x x)`

Compiler

Compiled 56 to 33 computations (41.1% saved)

regimes21.0ms (0.8%)

Counts

6 → 1

Calls

Call 1

Inputs
0
(*.f64 x x)
(+.f64 x -2)
(+.f64 x x)
(.f64 4 (.f64 x x))
(+.f64 (+.f64 1 x) (-.f64 x 1))

Outputs
(+.f64 x x)

Calls

2 calls:

4.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
20.3%	1	`x`
20.3%	1	`(*.f64 x x)`

Compiler

Compiled 29 to 16 computations (44.8% saved)

regimes13.0ms (0.5%)

Counts

3 → 2

Calls

Call 1

Inputs
0
(*.f64 x x)
(+.f64 x -2)

Outputs
(*.f64 x x)
(+.f64 x -2)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
13.5%	2	`(*.f64 x x)`
13.5%	2	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
7.1%	1	`(*.f64 x x)`
7.1%	1	`x`

Compiler

Compiled 11 to 6 computations (45.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
3.9%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch10.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.9056099686411334	5.3259290904133065

Results

9.0ms

80×

body

256

valid

Compiler

Compiled 63 to 42 computations (33.3% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

42×	`unsub-neg`
42×	`distribute-lft-neg-in`
40×	`neg-mul-1`
36×	`distribute-neg-in`
34×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	27	64
2	40	64
3	61	64
4	109	64
5	149	64
6	185	64
7	199	64
8	219	64
9	227	64

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
(-.f64 x (-.f64 1 (+.f64 x 1)))
(+.f64 x x)
(if (<=.f64 x 8782019273372467/2251799813685248) (*.f64 x x) (+.f64 x -2))
(*.f64 x x)
0

Outputs
(hypot.f64 x x)
(-.f64 x (-.f64 1 (+.f64 x 1)))
(-.f64 x (+.f64 1 (-.f64 -1 x)))
(+.f64 x x)
(if (<=.f64 x 8782019273372467/2251799813685248) (*.f64 x x) (+.f64 x -2))
(*.f64 x x)
0

Compiler

Compiled 33 to 21 computations (36.4% saved)

soundness654.0ms (25.2%)

Rules

1506×	`pow1`
1506×	`pow1`
1462×	`pow1`
1462×	`pow1`
1420×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	17	7
3	20	7
0	11	22
1	226	14
2	2873	14
0	104	998
1	280	998
0	8	21
1	169	21
2	2039	21
0	136	1339
1	390	1339
0	11	22
1	226	14
2	2873	14
0	7	19
1	165	7
2	2610	7
0	216	357
1	790	357
0	136	1339
1	390	1339
0	7	19
1	165	7
2	2610	7
0	10	32
1	229	32
2	3255	28

Stop Event

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

Compiler

Compiled 812 to 227 computations (72% saved)

end0.0ms (0%)

preprocess61.0ms (2.3%)

Remove: (abs x)
Compiler: Compiled 82 to 42 computations (48.8% saved)

analyze0.0ms (0%)

sample837.0ms (32.2%)

preprocess20.0ms (0.8%)

simplify5.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize40.0ms (1.5%)

series4.0ms (0.1%)

rewrite118.0ms (4.6%)

simplify27.0ms (1%)

eval14.0ms (0.5%)

prune11.0ms (0.4%)

localize128.0ms (4.9%)

series2.0ms (0.1%)

rewrite53.0ms (2.1%)

simplify21.0ms (0.8%)

eval14.0ms (0.5%)

prune11.0ms (0.4%)

localize31.0ms (1.2%)

series1.0ms (0%)

rewrite58.0ms (2.2%)

simplify22.0ms (0.8%)

eval30.0ms (1.2%)

prune19.0ms (0.7%)

localize53.0ms (2%)

series1.0ms (0%)

rewrite74.0ms (2.9%)

simplify101.0ms (3.9%)

eval49.0ms (1.9%)

prune23.0ms (0.9%)

regimes40.0ms (1.5%)

regimes10.0ms (0.4%)

regimes21.0ms (0.8%)

regimes13.0ms (0.5%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.4%)

simplify9.0ms (0.4%)

soundness654.0ms (25.2%)

end0.0ms (0%)

preprocess61.0ms (2.3%)

Profiling