Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample587.0ms (18.8%)

Results

574.0ms

8256×

body

256

valid

Bogosity

preprocess12.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Outputs

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

eval1.0ms (0%)

Compiler: Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Accurracy

56.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
▶	28.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize23.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	95.5%	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	74.2%	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 50 to 24 computations (52% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`*-commutative`
760×	`associate-*r/`
610×	`associate-*l/`
580×	`distribute-lft-in`
572×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	229	37
2	3083	37

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (*.f64 x x) 1))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))

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

Outputs

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

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

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

simplify100.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-/r*`
1048×	`associate-*r/`
960×	`+-commutative`
800×	`associate-*l/`
788×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	6546
1	1241	6196
2	4618	6184

Stop Event

1×	node limit

Counts

184 → 311

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (hypot.f64 1 x) (pow.f64 1 1/2))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 6))) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(+.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 0)
(+.f64 0 (log.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) 1))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) 0) 1)) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (.f64 (.f64 x x) 0) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (log.f64 (+.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x))) 1)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (hypot.f64 1 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)
(*.f64 1 (+.f64 (hypot.f64 1 x) x))
(*.f64 (+.f64 (hypot.f64 1 x) x) 1)
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))
(.f64 (-.f64 (.f64 (*.f64 x x) 0) 1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) (-.f64 (.f64 (*.f64 x x) 0) 1))
(.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (-.f64 (.f64 (*.f64 x x) 0) 1)) (+.f64 (hypot.f64 1 x) x))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (.f64 x x) (+.f64 1 (*.f64 x (+.f64 (hypot.f64 1 x) x)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1) (.f64 (-.f64 (hypot.f64 1 x) x) (-.f64 (hypot.f64 1 x) x))))) (-.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 1 (.f64 x (-.f64 x (hypot.f64 1 x)))) (.f64 x x)))))
(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) x)))
(/.f64 (+.f64 (hypot.f64 1 x) x) (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))) (/.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))) (+.f64 (hypot.f64 1 x) x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) 0) 1)) (/.f64 (-.f64 x (hypot.f64 1 x)) (sqrt.f64 (-.f64 (.f64 (.f64 x x) 0) 1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x x) 0) 1)) (cbrt.f64 (-.f64 (.f64 (.f64 x x) 0) 1))) (/.f64 (-.f64 x (hypot.f64 1 x)) (cbrt.f64 (-.f64 (.f64 (*.f64 x x) 0) 1))))
(/.f64 (+.f64 1 (.f64 (.f64 x x) 0)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 0) 1)) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (.f64 (*.f64 x x) 0) 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (.f64 (*.f64 x x) 0) 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (+.f64 1 (.f64 (*.f64 x x) 0)) 1) (-.f64 (hypot.f64 1 x) x))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) 0) 1)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (*.f64 x x) 0) 1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (*.f64 x x) 0) 1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (.f64 x x) (fma.f64 x x 1)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (+.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x))

Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 1/2 (.f64 x x) 1) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/2 (.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 6))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 x (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(fma.f64 x -1 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 x (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x)))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (fma.f64 1/2 (/.f64 (.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x))))
(fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x))))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
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(/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))) (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (.f64 (*.f64 x x) 0) 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 -1))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (.f64 (*.f64 x x) 0) 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 -1))
(/.f64 (.f64 (+.f64 1 (.f64 (*.f64 x x) 0)) 1) (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) 0) 1)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))) (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (*.f64 x x) 0) 1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 -1))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (*.f64 x x) 0) 1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 -1))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (.f64 x x) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (*.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 x x (fma.f64 x x 1))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (-.f64 x (hypot.f64 1 x))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (fma.f64 x x (fma.f64 x x 1)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (fma.f64 x x 1) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (-.f64 x (hypot.f64 1 x))) (fma.f64 (fma.f64 x x 1) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 x 4)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (*.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (fma.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 -1 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))))
(/.f64 -1 (*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(pow.f64 (+.f64 (hypot.f64 1 x) x) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 x (hypot.f64 1 x))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 2))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(fabs.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x))

localize15.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	95.5%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`add-sqr-sqrt`
1644×	`*-un-lft-identity`
1528×	`add-cube-cbrt`
1512×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	179	30
2	2257	30

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))

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

Outputs

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

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

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1328×	`fma-def`
958×	`unswap-sqr`
774×	`distribute-lft-in`
732×	`distribute-rgt-in`
570×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	2492
1	597	2214
2	2199	1982

Stop Event

1×	node limit

Counts

82 → 148

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (.f64 (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+.f64 1 (log.f64 x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x)))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+.f64 1 (fma.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (*.f64 x x)) x) (log.f64 x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (/.f64 (fma.f64 (fabs.f64 x) -3 (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))))
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (.f64 x -3)) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (.f64 x x)) x) (log.f64 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))
(-.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (fabs.f64 x) x) (.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3))))))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (-.f64 (/.f64 (.f64 -1/6 (fma.f64 (fabs.f64 x) -3 (.f64 2 (pow.f64 (fabs.f64 x) 3)))) (pow.f64 x 3)) (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 -1 x))))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (fma.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x -3)) (pow.f64 x 3)) -1)) (log.f64 (/.f64 -1 x)))
(+.f64 1 (fabs.f64 x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fabs.f64 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x)))))
(+.f64 1 (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (*.f64 x x) x))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
(+.f64 x x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/2 x))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 x) (+.f64 x x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 x (fabs.f64 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(+.f64 (fabs.f64 x) (neg.f64 x))
(-.f64 (fabs.f64 x) x)
0
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 1/2 x))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 (+.f64 x x) (hypot.f64 1 x)) 1))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))

eval164.0ms (5.2%)

Compiler: Compiled 9214 to 6099 computations (33.8% saved)

prune70.0ms (2.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	447	12	459
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	449	12	461

Accurracy

100.0%

Counts

461 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x)
▶	63.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	56.0%	(copysign.f64 (log1p.f64 x) x)
	28.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
▶	24.9%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	29.3%	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
▶	20.3%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
	32.6%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	29.3%	(copysign.f64 (log.f64 (+.f64 x x)) x)
	8.7%	(copysign.f64 (log.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))) x)
▶	12.9%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
	8.8%	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 206 to 138 computations (33% saved)

localize6.0ms (0.2%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize6.0ms (0.2%)

Compiler: Compiled 8 to 3 computations (62.5% saved)

localize9.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	95.5%	(log.f64 (+.f64 1 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`add-sqr-sqrt`
1284×	`*-un-lft-identity`
1196×	`add-cube-cbrt`
1184×	`add-cbrt-cube`
1172×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	136	5
2	1590	5

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1208×	`distribute-lft-in`
1016×	`distribute-rgt-in`
838×	`associate-+r+`
776×	`associate-r`
584×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	568
1	242	492
2	809	492
3	3240	492

Stop Event

1×	node limit

Counts

32 → 55

Calls

Call 1

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

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

localize9.0ms (0.3%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

localize15.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	95.5%	(log.f64 (+.f64 (fabs.f64 x) 1))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series143.0ms (4.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
117.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) 1))
15.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) 1))
10.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) 1))

rewrite111.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`add-sqr-sqrt`
1324×	`*-un-lft-identity`
1232×	`add-cube-cbrt`
1220×	`add-cbrt-cube`
1208×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	158	5
2	1935	5

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(log.f64 (+.f64 (fabs.f64 x) 1))

Outputs

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

simplify52.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1150×	`distribute-lft-in`
982×	`distribute-rgt-in`
942×	`*-commutative`
940×	`fma-def`
692×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	314
1	118	294
2	447	294
3	2225	292
4	6010	290

Stop Event

1×	node limit

Counts

32 → 30

Calls

Call 1

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

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

eval30.0ms (1%)

Compiler: Compiled 950 to 587 computations (38.2% saved)

prune13.0ms (0.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	6	7
Picked	1	0	1
Done	2	2	4
Total	88	9	97

Accurracy

100.0%

Counts

97 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x)
✓	56.0%	(copysign.f64 (log1p.f64 x) x)
	28.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓	24.9%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	29.3%	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
▶	32.6%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	29.3%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	8.8%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	50.7%	(copysign.f64 x x)

Compiler

Compiled 136 to 88 computations (35.3% saved)

localize3.0ms (0.1%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize8.0ms (0.2%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize7.0ms (0.2%)

Compiler: Compiled 15 to 4 computations (73.3% saved)

localize14.0ms (0.5%)

Compiler: Compiled 34 to 17 computations (50% saved)

localize13.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(+.f64 x (hypot.f64 1 x))
✓	95.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
1448×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	30
2	1952	30

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))

Outputs

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

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

simplify74.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`
916×	`unswap-sqr`
542×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941

Stop Event

1×	node limit

Counts

81 → 137

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))) (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -5/96 (pow.f64 x 6)))) (log.f64 (/.f64 -1 x))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 x (*.f64 x 1/2) 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval41.0ms (1.3%)

Compiler: Compiled 2168 to 1538 computations (29.1% saved)

prune24.0ms (0.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	1	2
Picked	0	1	1
Done	0	6	6
Total	137	9	146

Accurracy

100.0%

Counts

146 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
✓	56.0%	(copysign.f64 (log1p.f64 x) x)
▶	28.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓	24.9%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	29.3%	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
✓	32.6%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	29.3%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	8.8%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	50.7%	(copysign.f64 x x)

Compiler

Compiled 70 to 46 computations (34.3% saved)

localize19.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	99.0%	(-.f64 (hypot.f64 1 x) x)
✓	95.6%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite69.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`add-sqr-sqrt`
1874×	`*-un-lft-identity`
1746×	`add-cube-cbrt`
1728×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	187	53
2	2344	53

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))

Outputs

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

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

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

simplify73.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/r*`
1398×	`associate-/l*`
914×	`associate-*r/`
722×	`+-commutative`
698×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	305	3606
1	835	3258
2	3314	3258

Stop Event

1×	node limit

Counts

130 → 219

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(/.f64 (neg.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (/.f64 1 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 -1 x (.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (-.f64 (.f64 (pow.f64 x 4) -1/8) x)))
(+.f64 1 (-.f64 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/8)) x))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
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(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(.f64 (/.f64 1 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(/.f64 (.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))))
(+.f64 x (hypot.f64 1 x))
(.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(.f64 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

localize12.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	99.5%	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

rewrite62.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1614×	`add-cube-cbrt`
1602×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	180	28
2	2169	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

Outputs

((-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3) (pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3) (sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))) (cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1)) (log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))

((-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) (*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)))) (/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)))) (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))) (/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) (pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) (pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3) (sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)) (log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 (pow.f64 x 3) -1/6 x) (fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3))) (fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x) (fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))) (fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x) (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3))))

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-*r/`
650×	`+-commutative`
622×	`associate-*l/`
606×	`associate--r+`
558×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1289
1	287	1239
2	1151	1171
3	5258	1171

Stop Event

1×	node limit

Counts

53 → 57

Calls

Call 1

Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))

Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)

eval92.0ms (3%)

Compiler: Compiled 4513 to 3287 computations (27.2% saved)

prune40.0ms (1.3%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	0	0	0
Picked	0	1	1
Done	1	7	8
Total	275	10	285

Accurracy

100.0%

Counts

285 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	28.1%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	56.0%	(copysign.f64 (log1p.f64 x) x)
	25.0%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
✓	24.9%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	29.3%	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
✓	32.6%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	29.3%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	8.8%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	50.7%	(copysign.f64 x x)

Compiler

Compiled 82 to 55 computations (32.9% saved)

regimes40.0ms (1.3%)

Counts

18 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))) x)
(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)

Calls

2 calls:

24.0ms	x
12.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 161 to 98 computations (39.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.3571821717212565e-7	16.25110477199824
0.0ms	-2.794621721923547	-1.3189004573587764e-7

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes24.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 84 to 51 computations (39.3% saved)

bsearch39.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.357182172100737e-7	5711302.084431158
20.0ms	-8.147651151427894	-1.318900457952558e-7

Results

35.0ms

304×

body

256

valid

Compiler

Compiled 472 to 343 computations (27.3% saved)

regimes17.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 52 to 30 computations (42.3% saved)

bsearch39.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.357182172100737e-7	5711302.084431158
19.0ms	-8.147651151427894	-1.318900457952558e-7

Results

35.0ms

304×

body

256

valid

Compiler

Compiled 418 to 298 computations (28.7% saved)

regimes17.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch39.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.357182172100737e-7	5711302.084431158
19.0ms	-8.147651151427894	-1.318900457952558e-7

Results

35.0ms

304×

body

256

valid

Compiler

Compiled 378 to 268 computations (29.1% saved)

regimes14.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch38.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.357182172100737e-7	5711302.084431158
19.0ms	-8.147651151427894	-1.318900457952558e-7

Results

34.0ms

304×

body

256

valid

Compiler

Compiled 264 to 173 computations (34.5% saved)

regimes14.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
83.5%	3	`x`

Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch39.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.357182172100737e-7	5711302.084431158
18.0ms	-8.147651151427894	-1.318900457952558e-7

Results

36.0ms

304×

body

256

valid

Compiler

Compiled 255 to 164 computations (35.7% saved)

regimes8.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
63.5%	2	`x`

Compiler

Compiled 21 to 12 computations (42.9% saved)

bsearch19.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-8.147651151427894	-1.318900457952558e-7

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 134 to 93 computations (30.6% saved)

regimes6.0ms (0.2%)

Accuracy

Total -6.2b remaining (-23.1%)

Threshold costs -6.2b (-23.1%)

Counts

2 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
58.2%	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch19.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.357182172100737e-7	5711302.084431158

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 127 to 82 computations (35.4% saved)

simplify16.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
10×	`sub-neg`
10×	`*-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	629
1	94	629
2	104	629
3	108	629
4	109	629

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3512807709348987/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 4722366482869645/9444732965739290427392) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3512807709348987/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 240 to 157 computations (34.6% saved)

soundness275.0ms (8.8%)

Algorithm

5×	egg-herbie

Rules

1676×	`associate-/r*`
1676×	`associate-/r*`
1522×	`associate-/r*`
1398×	`associate-/l*`
1328×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	464	6546
1	1241	6196
2	4618	6184
0	305	3606
1	835	3258
2	3314	3258
0	464	6546
1	1241	6196
2	4618	6184
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982

Stop Event

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

Compiler

Compiled 347 to 233 computations (32.9% saved)

end109.0ms (3.5%)

Compiler: Compiled 232 to 132 computations (43.1% saved)

Details

analyze0.0ms (0%)

sample587.0ms (18.8%)

preprocess12.0ms (0.4%)

simplify11.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize23.0ms (0.7%)

series3.0ms (0.1%)

rewrite71.0ms (2.3%)

simplify100.0ms (3.2%)

localize15.0ms (0.5%)

series1.0ms (0%)

rewrite56.0ms (1.8%)

simplify59.0ms (1.9%)

eval164.0ms (5.2%)

prune70.0ms (2.2%)

localize6.0ms (0.2%)

localize6.0ms (0.2%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite46.0ms (1.5%)

simplify47.0ms (1.5%)

localize9.0ms (0.3%)

localize15.0ms (0.5%)

series143.0ms (4.6%)

rewrite111.0ms (3.6%)

simplify52.0ms (1.7%)

eval30.0ms (1%)

prune13.0ms (0.4%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

localize7.0ms (0.2%)

localize14.0ms (0.5%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

rewrite60.0ms (1.9%)

simplify74.0ms (2.4%)

eval41.0ms (1.3%)

prune24.0ms (0.8%)

localize19.0ms (0.6%)

series2.0ms (0.1%)

rewrite69.0ms (2.2%)

simplify73.0ms (2.3%)

localize12.0ms (0.4%)

series2.0ms (0.1%)

rewrite62.0ms (2%)

simplify75.0ms (2.4%)

eval92.0ms (3%)

prune40.0ms (1.3%)

regimes40.0ms (1.3%)

bsearch0.0ms (0%)

regimes24.0ms (0.8%)

bsearch39.0ms (1.3%)

regimes17.0ms (0.5%)

bsearch39.0ms (1.3%)

regimes17.0ms (0.6%)

bsearch39.0ms (1.2%)

regimes14.0ms (0.4%)

bsearch38.0ms (1.2%)

regimes14.0ms (0.5%)

bsearch39.0ms (1.2%)

regimes8.0ms (0.2%)

bsearch19.0ms (0.6%)

regimes6.0ms (0.2%)

bsearch19.0ms (0.6%)

simplify16.0ms (0.5%)

soundness275.0ms (8.8%)

end109.0ms (3.5%)

Profiling