Details

analyze1.0ms (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)

sample575.0ms (10.4%)

Results

566.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

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 (0.2%)

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

1 alts after pruning (1 fresh and 0 done)

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

Error

27.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.9%)

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	21
1	179	17
2	2257	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1266×	`associate-r`
1038×	`associate-l`
842×	`associate-/r*`
714×	`fma-def`
660×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1309
1	336	1213
2	1136	1079
3	5135	1077

Stop Event

1×	node limit

Counts

33 → 84

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 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))

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 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x))
(fma.f64 1/2 (/.f64 x (/.f64 (+.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 (*.f64 -1/8 (+.f64 (/.f64 1 (+.f64 1 (fabs.f64 x))) (/.f64 1 (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))))
(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)))
(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 x (/.f64 (+.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 (/.f64 45 (+.f64 1 (fabs.f64 x))) (/.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 (+.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 x (/.f64 (+.f64 1 (fabs.f64 x)) 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) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (/.f64 45 (pow.f64 (+.f64 1 x) 2))) (/.f64 1/16 (+.f64 1 x))) (log1p.f64 x))))
(fma.f64 (pow.f64 x 6) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/24 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (+.f64 1 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 x (/.f64 (+.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 (log.f64 x) (/.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)))
(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)))
(+.f64 (/.f64 (fabs.f64 x) x) (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (/.f64 x x)))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 (log.f64 x) (/.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))))
(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 2 (pow.f64 (fabs.f64 x) 3) (.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (+.f64 (/.f64 (fabs.f64 x) x) (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 x x)) (log.f64 x))))
(+.f64 (/.f64 x x) (fma.f64 1/6 (/.f64 (fma.f64 x -3 (.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 x x)) (log.f64 x))))
(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)) (+.f64 (log.f64 x) (/.f64 x x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 x) (log.f64 -1))
(+.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 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 x x))
(-.f64 (-.f64 (log.f64 x) (log.f64 -1)) (/.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))))
(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 (.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 x x) (log.f64 (/.f64 -1 x))))
(-.f64 (.f64 (/.f64 1/2 (.f64 x x)) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 x x) (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 -1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (.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)) (-.f64 (/.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/3)) (pow.f64 x 3)) (/.f64 x x))) (log.f64 (/.f64 -1 x)))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) -1/3)) (pow.f64 x 3)) (+.f64 (/.f64 x x) (log.f64 (/.f64 -1 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)))))
(*.f64 2 (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 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (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 (*.f64 x x) (fma.f64 x x 1))) (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))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))

eval30.0ms (0.6%)

Compiler: Compiled 1775 to 1128 computations (36.5% saved)

prune22.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	73	11	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	12	85

Error

0.0b

Counts

85 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	34.2b	(copysign.f64 (fma.f64 (pow.f64 x 6) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/24 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (+.f64 1 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 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)))) x)
	34.1b	(copysign.f64 (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 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))) x)
	33.5b	(copysign.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)) x)
▶	58.3b	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
▶	56.7b	(copysign.f64 (+.f64 (log.f64 x) (/.f64 x x)) x)
	58.6b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	14.5b	(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
	24.0b	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	28.7b	(copysign.f64 (log1p.f64 x) x)
✓	27.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
	42.0b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	51.0b	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)

Compiler

Compiled 350 to 253 computations (27.7% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	0.9b	(+.f64 x (-.f64 (hypot.f64 1 x) 1))
✓	1.3b	(-.f64 (hypot.f64 1 x) 1)

Compiler

Compiled 36 to 26 computations (27.8% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms	x	@	0	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms	x	@	-inf	(-.f64 (hypot.f64 1 x) 1)
0.0ms	x	@	0	(-.f64 (hypot.f64 1 x) 1)

rewrite86.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`associate-*r/`
812×	`*-commutative`
672×	`unswap-sqr`
658×	`associate-*l/`
598×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	195	55
2	2557	49

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs
(-.f64 (hypot.f64 1 x) 1)
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (hypot.f64 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x x) 0) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (+.f64 1 (sqrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (+.f64 (.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 (.f64 x x) 2))) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 x x) 0) (+.f64 (.f64 x x) 0)) (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 x x) 0) (-.f64 0 (.f64 x x))) (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 x x) 0) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 (.f64 x x) 2) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))))) (-.f64 (+.f64 (.f64 x x) 0) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 (.f64 x x)) 3) (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))) (+.f64 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (.f64 (+.f64 1 (hypot.f64 1 x)) (-.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))) (.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (.f64 x x) 2) (.f64 (hypot.f64 1 x) -1)) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (hypot.f64 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))

Outputs

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-1))) 2)) (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (+.f64 (hypot.f64 1 x) -1) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (/.f64 1 (+.f64 x (-.f64 1 (hypot.f64 1 x))))) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) 3)) (/.f64 1 (+.f64 x (-.f64 1 (hypot.f64 1 x))))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) 1) (+.f64 x (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))

simplify140.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-r`
630×	`associate-l`
592×	`distribute-lft-in`
560×	`fma-def`
534×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	11470
1	1765	10628
2	7641	10628

Stop Event

1×	node limit

Counts

226 → 380

Calls

Call 1

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

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 -5/128 (pow.f64 x 8) (.f64 -1/8 (pow.f64 x 4)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 x (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 x (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 -1 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)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
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x
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(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3) 3)) (.f64 (fma.f64 x x (.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3) (-.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3) (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3) 3)) (.f64 (fma.f64 x x (.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))) (fma.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3) (-.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) 1) (+.f64 x (-.f64 1 (hypot.f64 1 x))))
(-.f64 (*.f64 (/.f64 x (-.f64 (+.f64 x 1) (hypot.f64 1 x))) x) (/.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2) (-.f64 (+.f64 x 1) (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (+.f64 x (-.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))))
(-.f64 (*.f64 (/.f64 x (-.f64 (+.f64 x 1) (hypot.f64 1 x))) x) (/.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2) (-.f64 (+.f64 x 1) (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (+.f64 x (-.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (.f64 (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 1 x)))))
(-.f64 (*.f64 (/.f64 x (-.f64 (+.f64 x 1) (hypot.f64 1 x))) x) (/.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2) (-.f64 (+.f64 x 1) (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (+.f64 x (-.f64 1 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 (hypot.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (.f64 (+.f64 (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) 1) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 1)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 3)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3) 1/3)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2) (*.f64 x x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2) (*.f64 x x)) (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 -1 (-.f64 (hypot.f64 1 x) x))))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 2))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)) 2))
(fabs.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(-.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)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (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) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (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) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (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))
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(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)))

localize5.0ms (0.1%)

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

localize95.0ms (1.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log.f64 x) (/.f64 x x))

Compiler

Compiled 21 to 5 computations (76.2% saved)

series41.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(+.f64 (log.f64 x) (/.f64 x x))
18.0ms	x	@	0	(+.f64 (log.f64 x) (/.f64 x x))
5.0ms	x	@	inf	(+.f64 (log.f64 x) (/.f64 x x))

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`add-sqr-sqrt`
1342×	`*-un-lft-identity`
1248×	`add-cube-cbrt`
1236×	`add-cbrt-cube`
1222×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	165	11
2	1722	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (log.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log.f64 x) -1)) (/.f64 1 (+.f64 (log.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log.f64 x) 1)) (sqrt.f64 (+.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 x) 1)) 2) (cbrt.f64 (+.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (/.f64 1 (+.f64 (log.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 x) -1) (+.f64 (pow.f64 (log.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (log.f64 x))) (+.f64 1 (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1) (+.f64 (log.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 x) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 x) 2)) (-.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) -1)) (neg.f64 (+.f64 (log.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 x (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 x (E.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) 1)))))

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-/r*`
1302×	`distribute-lft-in`
1122×	`distribute-rgt-in`
826×	`associate-r`
678×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	988
1	207	950
2	695	854
3	3078	854

Stop Event

1×	node limit

Counts

42 → 41

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(log.f64 (+.f64 1 (fabs.f64 x)))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series46.0ms (0.8%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log.f64 (+.f64 1 (fabs.f64 x)))
11.0ms	x	@	-inf	(log.f64 (+.f64 1 (fabs.f64 x)))
10.0ms	x	@	0	(log.f64 (+.f64 1 (fabs.f64 x)))

rewrite56.0ms (1%)

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	9
1	157	5
2	1886	5

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))))

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1152×	`distribute-lft-in`
988×	`distribute-rgt-in`
964×	`fma-def`
888×	`*-commutative`
690×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	208
1	120	184
2	458	184
3	2255	184
4	6026	184

Stop Event

1×	node limit

Counts

20 → 27

Calls

Call 1

Inputs
(+.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 (fma.f64 x x (neg.f64 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
(+.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 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) 3)
(+.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 (fma.f64 x x (neg.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x (neg.f64 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)

localize22.0ms (0.4%)

Compiler: Compiled 43 to 24 computations (44.2% saved)

eval213.0ms (3.9%)

Compiler: Compiled 10553 to 7683 computations (27.2% saved)

prune86.0ms (1.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	438	10	448
Fresh	4	2	6
Picked	1	0	1
Done	2	3	5
Total	445	15	460

Error

Counts

460 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	55.7b	(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
	33.8b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	48.9b	(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 (/.f64 1/4 x) x))) x)
	48.5b	(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) x)
	58.6b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
	44.6b	(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
	62.8b	(copysign.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) -1)) x)
▶	25.8b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓	14.5b	(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
▶	62.0b	(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
▶	39.2b	(copysign.f64 (log1p.f64 (+.f64 x x)) x)
▶	62.5b	(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
✓	28.7b	(copysign.f64 (log1p.f64 x) x)
✓	27.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
	42.0b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Compiler

Compiled 286 to 208 computations (27.3% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (hypot.f64 1 x))
✓	0.6b	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
✓	0.9b	(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
✓	17.5b	(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))

Compiler

Compiled 60 to 35 computations (41.7% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
0.0ms	x	@	0	(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
0.0ms	x	@	inf	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
0.0ms	x	@	0	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
0.0ms	x	@	inf	(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))

rewrite103.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`associate-*l/`
1264×	`associate-/r*`
1114×	`associate-/l*`
1092×	`*-commutative`
496×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	104
1	238	104
2	3340	104

Stop Event

1×	node limit

Counts

4 → 224

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(+.f64 1 (hypot.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (/.f64 (+.f64 1 (hypot.f64 1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))) 2) (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (hypot.f64 1 x)) (/.f64 (.f64 x x) (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 -1 (hypot.f64 1 x))) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x)) (/.f64 x (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) 1) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x)) (/.f64 1 (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (neg.f64 x))) (.f64 (.f64 x x) (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (.f64 (.f64 x x) (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) (.f64 x (neg.f64 x))) (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) x)) (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 -1 (hypot.f64 1 x))) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (/.f64 1 (cbrt.f64 (/.f64 -1 (-.f64 1 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 x x) 1) 1) (/.f64 -1 (-.f64 -1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 x (neg.f64 x))) (.f64 x (-.f64 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(sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (cbrt.f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 x (neg.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (/.f64 1 (-.f64 1 (hypot.f64 1 x)))) (+.f64 2 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (.f64 x x) 1) 3)) (/.f64 1 (-.f64 1 (hypot.f64 1 x)))) (+.f64 (+.f64 1 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x)))) (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x)))) (+.f64 1 (-.f64 (.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (neg.f64 x)) 1) (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (neg.f64 x)) (.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) (cbrt.f64 (-.f64 1 (hypot.f64 1 x))))) (cbrt.f64 (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) 1) (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x)))) (sqrt.f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (.f64 (cbrt.f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x))) (cbrt.f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x))))) (cbrt.f64 (-.f64 (+.f64 2 (.f64 x x)) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (.f64 x x) 1)) (cbrt.f64 (hypot.f64 1 x)) 1)))))

simplify153.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1170×	`associate-+r+`
722×	`associate-/l*`
544×	`*-commutative`
506×	`associate-r`
480×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	646	13970
1	1906	12384
2	7924	12222

Stop Event

1×	node limit

Counts

272 → 448

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.8b	(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))

Compiler

Compiled 26 to 20 computations (23.1% saved)

series30.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
10.0ms	x	@	-inf	(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
10.0ms	x	@	0	(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`add-sqr-sqrt`
1846×	`*-un-lft-identity`
1726×	`add-cube-cbrt`
1712×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	193	17
2	2300	17

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))) (sqrt.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 0 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))) 1))))))

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

762×	`*-commutative`
740×	`associate-r`
660×	`associate-*r/`
578×	`associate-l`
530×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	510
1	94	438
2	364	438
3	2000	438
4	4582	438
5	6477	438

Stop Event

1×	node limit

Counts

28 → 22

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (+.f64 1 (log1p.f64 x)) 1)

Compiler

Compiled 23 to 14 computations (39.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 1 (log1p.f64 x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (log1p.f64 x)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (log1p.f64 x)) 1)

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`add-sqr-sqrt`
1604×	`*-un-lft-identity`
1502×	`add-cube-cbrt`
1490×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	5
2	2276	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (log1p.f64 x)) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x)) (/.f64 1 (+.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 x) 2) (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x)) (+.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x)) (-.f64 (+.f64 1 (log1p.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 x) -1) (+.f64 (log1p.f64 x) -1))) (-.f64 1 (+.f64 (log1p.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 x) -1) (+.f64 (log1p.f64 x) -1)) (+.f64 (log1p.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (log1p.f64 x))) (neg.f64 (+.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) (sqrt.f64 (+.f64 1 (log1p.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 x))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 x))) -1)))))

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1430×	`distribute-lft-in`
1202×	`distribute-rgt-in`
776×	`associate-+r+`
706×	`associate-+l+`
566×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1038
1	355	952
2	1584	940

Stop Event

1×	node limit

Counts

50 → 84

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

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

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
✓	0.6b	(log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x))))
✓	1.5b	(+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))

Compiler

Compiled 48 to 33 computations (31.3% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x))))
0.0ms	x	@	0	(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
0.0ms	x	@	0	(+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
0.0ms	x	@	inf	(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
0.0ms	x	@	-inf	(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))

rewrite101.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`distribute-lft-in`
834×	`associate-/r*`
442×	`associate-+l+`
432×	`associate-/r/`
410×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	256	73
2	3643	71

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

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

Outputs

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(*.f64 x (-.f64 1 (*.f64 x x)))) 1) (*.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 1/2 (*.f64 -1/2 x)) (*.f64 x (-.f64 1 (*.f64 x x)))) (sqrt.f64 (*.f64 x (+.f64 x -1)))) (sqrt.f64 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 1/2 (*.f64 -1/2 x)) (*.f64 x (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (cbrt.f64 (*.f64 x (+.f64 x -1))))) (cbrt.f64 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 -1/2 (+.f64 1 (*.f64 x (+.f64 x -1)))) (*.f64 x (-.f64 -1 (pow.f64 x 3)))) x) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (+.f64 x (*.f64 (*.f64 x -2) (-.f64 1 (*.f64 x x))))) (*.f64 x -2)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) (*.f64 (*.f64 x -2) (-.f64 -1 (pow.f64 x 3)))) (*.f64 x -2)) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 -1/2 (*.f64 1/2 x)) (*.f64 (neg.f64 x) (-.f64 1 (*.f64 x x)))) (neg.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 x (+.f64 x -1)))) (*.f64 (neg.f64 x) (-.f64 -1 (pow.f64 x 3)))) (neg.f64 x)) (+.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -1 x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (cbrt.f64 (/.f64 -1/2 x)) (-.f64 -1 x))))))

simplify108.0ms (2%)

Algorithm

1×	egg-herbie

Rules

908×	`associate-r`
704×	`associate-l`
652×	`distribute-lft-in`
650×	`+-commutative`
584×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	633	13345
1	1975	12497

Stop Event

1×	node limit

Counts

253 → 403

Calls

Call 1

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

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

eval449.0ms (8.2%)

Compiler: Compiled 26297 to 18410 computations (30% saved)

prune237.0ms (4.3%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	952	5	957
Fresh	2	5	7
Picked	1	0	1
Done	1	6	7
Total	956	16	972

Error

Counts

972 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	48.9b	(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 (/.f64 1/4 x) x))) x)
▶	44.6b	(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
	62.8b	(copysign.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) -1)) x)
	34.0b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (-.f64 (-.f64 1 x) (/.f64 1/2 x))))) x)
▶	31.9b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x)))))) x)
✓	25.8b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓	14.5b	(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
✓	39.2b	(copysign.f64 (log1p.f64 (+.f64 x x)) x)
✓	62.5b	(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
✓	28.7b	(copysign.f64 (log1p.f64 x) x)
	48.5b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	27.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
▶	42.0b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	63.0b	(copysign.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) x)
▶	32.7b	(copysign.f64 x x)

Compiler

Compiled 287 to 197 computations (31.4% saved)

localize27.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x))))))
✓	0.0b	(.f64 1/2 (.f64 x x))
✓	18.2b	(/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x))))

Compiler

Compiled 73 to 36 computations (50.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 1/2 (.f64 x x))
0.0ms	x	@	inf	(/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x))))
0.0ms	x	@	0	(log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x))))))
0.0ms	x	@	0	(.f64 1/2 (.f64 x x))
0.0ms	x	@	inf	(log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x))))))

rewrite70.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`associate-*l/`
1368×	`associate-/r*`
1344×	`associate-/l*`
276×	`add-sqr-sqrt`
266×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	85
1	268	77
2	3728	77

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x))))
(.f64 1/2 (.f64 x x))
(log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))) 2) (cbrt.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 -1 (fma.f64 (*.f64 x x) 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 1/4 (pow.f64 x 4)))) (+.f64 2 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 8 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 4 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) 1/2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) 2)) (cbrt.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x x) 1/2 2) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (-.f64 -2 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (*.f64 x x) 1/2 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) (sqrt.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (+.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 x (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) 1))))))

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1360×	`associate-+r-`
1142×	`fma-def`
852×	`associate-*r/`
726×	`associate-/l*`
672×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2961
1	617	2825
2	2204	2807
3	7883	2807

Stop Event

1×	node limit

Counts

101 → 155

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/128 (pow.f64 x 8)) (+.f64 (.f64 1/32 (pow.f64 x 6)) (.f64 -1/8 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
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 -1/32 (pow.f64 x 6)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))) (*.f64 9/2 (/.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 3 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 3))))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 1)
(.f64 x (.f64 x (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(.f64 (.f64 x x) (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2)))
(.f64 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))) 1)
(.f64 1 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))) 2) (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 (fma.f64 (.f64 x x) 1/2 2))))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) 1/2 2)) (*.f64 x x))
(.f64 (.f64 x (neg.f64 x)) (/.f64 -1 (fma.f64 (*.f64 x x) 1/2 2)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))) (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) 1/2 2)) x)
(.f64 (/.f64 (.f64 x x) (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (+.f64 2 (.f64 -1/2 (*.f64 x x))))
(.f64 (/.f64 (.f64 x x) (+.f64 8 (.f64 1/8 (pow.f64 (.f64 x x) 3)))) (+.f64 4 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 x x))))
(.f64 (/.f64 x 1) (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (.f64 x x)) (fma.f64 (*.f64 x x) 1/2 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))) (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2)) 2)) (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))) 1)
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))) 3)
(pow.f64 (/.f64 (fma.f64 (.f64 x x) 1/2 2) (.f64 x x)) -1)
(pow.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))) 3) 1/3)
(neg.f64 (/.f64 (.f64 x x) (-.f64 -2 (.f64 x (*.f64 x 1/2)))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (*.f64 x x) 1/2 2) 2)))
(log.f64 (exp.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))) 3))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(exp.f64 (log.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) 1)
(pow.f64 (.f64 x (.f64 x 1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 3)
(pow.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))))
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/2))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))))) 1)
(.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))) 1)
(.f64 1 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))))
(.f64 (sqrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) (sqrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))
(.f64 (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))
(pow.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 2))
(log.f64 (+.f64 x (+.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))) 1)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) 1))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4)))
(fma.f64 -1/8 (pow.f64 x 4) (.f64 x (.f64 1/2 x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (fma.f64 1/32 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/32 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/128 (pow.f64 x 8)) (+.f64 (.f64 1/32 (pow.f64 x 6)) (.f64 -1/8 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/128 (pow.f64 x 8) (fma.f64 1/32 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/128 (pow.f64 x 8) (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/32 (pow.f64 x 6)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 1/32 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/128 (pow.f64 x 8)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 2 (/.f64 8 (*.f64 x x)))
(+.f64 2 (/.f64 -8 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))))
(+.f64 (+.f64 2 (/.f64 -8 (*.f64 x x))) (/.f64 32 (pow.f64 x 4)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 4))) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 6))))
(-.f64 (+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x)))) (/.f64 128 (pow.f64 x 6)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 -8 (*.f64 x x)) (/.f64 -128 (pow.f64 x 6)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 2 (/.f64 8 (*.f64 x x)))
(+.f64 2 (/.f64 -8 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))))
(+.f64 (+.f64 2 (/.f64 -8 (*.f64 x x))) (/.f64 32 (pow.f64 x 4)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 4))) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 6))))
(-.f64 (+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x)))) (/.f64 128 (pow.f64 x 6)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 -8 (*.f64 x x)) (/.f64 -128 (pow.f64 x 6)))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
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 -1/32 (pow.f64 x 6)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/32 (pow.f64 x 6) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 6) -1/32 x)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) -1/32 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 3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 3 x))
(+.f64 (log.f64 x) (/.f64 3 x))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 3 x)) (/.f64 9/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 3 x) (/.f64 -9/2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (/.f64 3 x) (/.f64 (/.f64 9/2 x) x)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 3 x) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 9/2 (*.f64 x x)))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 -9/2 (*.f64 x x)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 (/.f64 9/2 x) x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -9/2 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 3 (/.f64 1 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3 x) (log.f64 -1)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 3 x) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3 x) (log.f64 -1))) (/.f64 9/2 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 3 x) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 -9/2 (*.f64 x x))))
(-.f64 (/.f64 3 x) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 -9/2 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 3))))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 (pow.f64 x 3))) (/.f64 9/2 (*.f64 x x))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3 x) (/.f64 -9/2 (*.f64 x x))))
(+.f64 (/.f64 3 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 -9/2 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 1)
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 x (.f64 x (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (.f64 x x) (/.f64 1 (fma.f64 (*.f64 x x) 1/2 2)))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))) 1)
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 1 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))) 2))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))) 2) (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 (fma.f64 (.f64 x x) 1/2 2))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 (fma.f64 (.f64 x x) 1/2 2)) (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (.f64 x x)) (fma.f64 1/2 (*.f64 x x) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (fma.f64 x (.f64 1/2 x) 2)) (cbrt.f64 (*.f64 x x)))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) 1/2 2)) (*.f64 x x))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (.f64 x (neg.f64 x)) (/.f64 -1 (fma.f64 (*.f64 x x) 1/2 2)))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))) (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2)) 2)) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) x)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 2))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (.f64 1/2 x) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 1/2 x) 2))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) 1/2 2)) x)
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (/.f64 (.f64 x x) (-.f64 4 (.f64 1/4 (pow.f64 x 4)))) (+.f64 2 (.f64 -1/2 (*.f64 x x))))
(.f64 (/.f64 x (/.f64 (+.f64 4 (.f64 -1/4 (pow.f64 x 4))) x)) (+.f64 2 (.f64 (.f64 x x) -1/2)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) -1/2 2)) (+.f64 4 (.f64 (pow.f64 x 4) -1/4)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/2) 2)) (fma.f64 (pow.f64 x 4) -1/4 4))
(.f64 (/.f64 (.f64 x x) (+.f64 8 (.f64 1/8 (pow.f64 (.f64 x x) 3)))) (+.f64 4 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 x x))))
(.f64 (/.f64 (.f64 x x) (+.f64 8 (.f64 (pow.f64 x 6) 1/8))) (+.f64 4 (fma.f64 1/4 (pow.f64 x 4) (.f64 x (neg.f64 x)))))
(.f64 (.f64 (/.f64 x (fma.f64 (pow.f64 x 6) 1/8 8)) x) (+.f64 4 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (neg.f64 x)))))
(.f64 (.f64 x (/.f64 x (fma.f64 (pow.f64 x 6) 1/8 8))) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 x (neg.f64 x) 4)))
(.f64 (/.f64 x 1) (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2)) 2)) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/2 2)) x)))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 2))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (.f64 1/2 x) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 1/2 x) 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (.f64 x x)) (fma.f64 (*.f64 x x) 1/2 2)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 (fma.f64 (.f64 x x) 1/2 2)) (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (.f64 x x)) (fma.f64 1/2 (*.f64 x x) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (fma.f64 x (.f64 1/2 x) 2)) (cbrt.f64 (*.f64 x x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))) (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (fma.f64 (.f64 x x) 1/2 2))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (/.f64 1 (fma.f64 (.f64 x x) 1/2 2)) (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (.f64 x x)) (fma.f64 1/2 (*.f64 x x) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (fma.f64 x (.f64 1/2 x) 2)) (cbrt.f64 (*.f64 x x)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2)) 2)) (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/2 2)) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) 2)) 2)))
(.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 1/2 x) 2)) 2)))
(pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))) 1)
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) 1/2 2))) 2)
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(pow.f64 (cbrt.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))) 3)
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) 1/2 2) (.f64 x x)) -1)
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(pow.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))) 3) 1/3)
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(neg.f64 (/.f64 (.f64 x x) (-.f64 -2 (.f64 x (*.f64 x 1/2)))))
(/.f64 (.f64 x (neg.f64 x)) (-.f64 -2 (.f64 1/2 (*.f64 x x))))
(/.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 x (.f64 x -1/2)) -2) x))
(.f64 (/.f64 x (fma.f64 x (.f64 x -1/2) -2)) (neg.f64 x))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (*.f64 x x) 1/2 2) 2)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 1/2 (*.f64 x x) 2) 2)))
(fabs.f64 (.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2))))
(log.f64 (exp.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))) 3))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(exp.f64 (log.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))) 1))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (fma.f64 x (.f64 1/2 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/2)))) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (.f64 x (.f64 x 1/2)) 1)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) 3)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(pow.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/2))) 1))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/2))))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))))) 1)
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))) 1)
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(.f64 1 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2))))))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(.f64 (sqrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) (sqrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(.f64 (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) 2))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) 2) (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(pow.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 1)
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) 2)
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))) 3)
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 3) 1/3)
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 2))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(log.f64 (+.f64 x (+.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))) 1)))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2))))) 3))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(exp.f64 (log.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))
(exp.f64 (.f64 (log.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (*.f64 x x) 1/2 2)))))) 1))
(log1p.f64 (+.f64 x (.f64 x (/.f64 x (fma.f64 (.f64 x x) 1/2 2)))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 x (*.f64 1/2 x) 2)) x))

localize3.0ms (0.1%)

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

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.7b	(log1p.f64 (-.f64 (*.f64 2 x) 1))

Compiler

Compiled 26 to 20 computations (23.1% saved)

series56.0ms (1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(log1p.f64 (-.f64 (*.f64 2 x) 1))
11.0ms	x	@	0	(log1p.f64 (-.f64 (*.f64 2 x) 1))
6.0ms	x	@	inf	(log1p.f64 (-.f64 (*.f64 2 x) 1))

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`add-sqr-sqrt`
1614×	`*-un-lft-identity`
1506×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	185	11
2	2144	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(log1p.f64 (-.f64 (*.f64 2 x) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2)) (log.f64 (cbrt.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) (log.f64 (sqrt.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1))))))

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-r`
788×	`associate-l`
734×	`*-commutative`
732×	`associate-+r+`
730×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	451
1	111	423
2	443	423
3	3239	423
4	5788	423

Stop Event

1×	node limit

Counts

33 → 28

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 -1/2 x) x)
✓	1.3b	(+.f64 x (-.f64 (/.f64 -1/2 x) x))

Compiler

Compiled 36 to 22 computations (38.9% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 x (-.f64 (/.f64 -1/2 x) x))
0.0ms	x	@	inf	(-.f64 (/.f64 -1/2 x) x)
0.0ms	x	@	0	(-.f64 (/.f64 -1/2 x) x)
0.0ms	x	@	-inf	(-.f64 (/.f64 -1/2 x) x)
0.0ms	x	@	inf	(+.f64 x (-.f64 (/.f64 -1/2 x) x))

rewrite89.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`associate-*r/`
1056×	`associate-*l/`
796×	`*-commutative`
694×	`distribute-lft-in`
676×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	169	32
2	2452	32

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 x) (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 -1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (-.f64 (/.f64 -1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/2 x) (-.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 x))) (-.f64 1 (+.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 x))) (+.f64 1 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 -1/2 x))) (-.f64 (/.f64 x (/.f64 (+.f64 x (/.f64 -1/2 x)) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/8 (*.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x)))) (pow.f64 x 3))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))) x)) (/.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2) (+.f64 x (-.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 -1/2 x)))) (/.f64 x (/.f64 (+.f64 x (/.f64 -1/2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 -1/8 (*.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x)))) (pow.f64 x 3)))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (/.f64 -1/2 x) x) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (/.f64 -1/2 x)) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1/2 x) (-.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -1/2 x) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 x x))) (sqrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 x x))) 2) (cbrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)) (/.f64 1 (+.f64 x (-.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (-.f64 x (/.f64 -1/2 x)))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2))) (+.f64 (/.f64 -1/2 x) (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))) (+.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 -1/2 x) x) (+.f64 (/.f64 -1/2 x) (-.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x))) (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x))) (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -1/2 x) (-.f64 x x)) (/.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))) (+.f64 x (-.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)) (+.f64 x (-.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)) (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))) (/.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))) (+.f64 (/.f64 -1/2 x) (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2))) (/.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))) (/.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)))) (/.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)))) (/.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))) (*.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2) (*.f64 x x)) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2) (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2))) (*.f64 (+.f64 x (-.f64 x (/.f64 -1/2 x))) (+.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (/.f64 -1/2 x))) (*.f64 x x)) (+.f64 x (+.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (-.f64 (/.f64 -1/2 x) x) (-.f64 (/.f64 -1/2 x) (+.f64 x x)))) (-.f64 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3) (pow.f64 (-.f64 (/.f64 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simplify139.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1080×	`+-commutative`
634×	`associate-r`
634×	`fma-def`
602×	`distribute-lft-in`
582×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	519	10508
1	1551	9404
2	7799	9404

Stop Event

1×	node limit

Counts

220 → 290

Calls

Call 1

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

Outputs
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
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(/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x))))) (cbrt.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2) (cbrt.f64 (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)))) (cbrt.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) 1) (-.f64 (/.f64 -1/2 x) (neg.f64 x)))
(/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (-.f64 (/.f64 1/2 x) x))
(/.f64 (.f64 (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 x) 3)) 1) (+.f64 (/.f64 1/4 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 -1/2 x) (neg.f64 x)))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x)))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (.f64 (neg.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (*.f64 x x))) 1) (neg.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (-.f64 (/.f64 1/2 x) x))
(/.f64 (.f64 (neg.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x)))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (*.f64 x x))) (sqrt.f64 (-.f64 (/.f64 -1/2 x) x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) x)) (/.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) x)) (/.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (-.f64 (/.f64 (/.f64 1/4 x) x) (*.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3))) (sqrt.f64 (-.f64 (/.f64 -1/2 x) x))) (sqrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x))))) (sqrt.f64 (-.f64 (/.f64 -1/2 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) x)) (sqrt.f64 (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)))) (sqrt.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2)) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2) (/.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (cbrt.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 1/4 x) x) (.f64 x x))) (cbrt.f64 (+.f64 x (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2)) (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x))))) (cbrt.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2) (cbrt.f64 (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)))) (cbrt.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (/.f64 (/.f64 -1/8 (pow.f64 x 3)) (.f64 x -2)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 1 (+.f64 x (/.f64 -1/2 x)))) (+.f64 (.f64 x x) (/.f64 1/4 (*.f64 x x))))
(/.f64 (-.f64 (/.f64 -1/8 (.f64 (.f64 x -2) (pow.f64 x 3))) (.f64 x (pow.f64 x 3))) (.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 x x (/.f64 1/4 (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 -1/8 (.f64 -2 (pow.f64 x 4))) (pow.f64 x 4)) (.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 x x (/.f64 (/.f64 1/4 x) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 1/4 (.f64 x x)) 3) (pow.f64 (.f64 x x) 3)) (/.f64 1 (+.f64 x (/.f64 -1/2 x)))) (+.f64 (/.f64 (/.f64 -1/8 (pow.f64 x 3)) (.f64 x -2)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))))))
(/.f64 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (pow.f64 x 6)) (+.f64 x (/.f64 -1/2 x))) (+.f64 (/.f64 -1/8 (.f64 (.f64 x -2) (pow.f64 x 3))) (.f64 (.f64 x x) (fma.f64 x x (/.f64 1/4 (*.f64 x x))))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (pow.f64 x 6)) (.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 (.f64 x x) (fma.f64 x x (/.f64 (/.f64 1/4 x) x)) (/.f64 -1/8 (*.f64 -2 (pow.f64 x 4))))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 1/4 (.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x)))))) (+.f64 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)) (neg.f64 (pow.f64 x 6))) (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x)))) (+.f64 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 6)) (pow.f64 x 6)) (*.f64 (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)) (+.f64 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x)))))) (+.f64 (.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x)))) (fma.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))))))
(/.f64 (/.f64 (-.f64 (/.f64 -1/512 (pow.f64 (pow.f64 x 3) 3)) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (/.f64 1/64 (pow.f64 x 6)) (fma.f64 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 6)))) (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) 1) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (-.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (sqrt.f64 (+.f64 x (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (-.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (-.f64 (/.f64 1/2 x) x))
(/.f64 (/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) 1) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x)))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x)))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (sqrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x)))))) (sqrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x)))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x))))))) (cbrt.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 x (+.f64 x (/.f64 -1/2 x)))))
(/.f64 (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 -1/2 x)) (/.f64 (/.f64 1/4 x) x)))
(pow.f64 (-.f64 (/.f64 -1/2 x) x) 1)
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 -1/2 x) x)) 2)
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 -1/2 x) x)) 3)
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(pow.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3) 1/3)
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 2))
(fabs.f64 (-.f64 (/.f64 -1/2 x) x))
(log.f64 (exp.f64 (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 -1/2 x) x))))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 -1/2 x) x) 3))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(expm1.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(exp.f64 (log.f64 (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 -1/2 x) x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(fma.f64 -1/2 (/.f64 1 x) (neg.f64 x))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(fma.f64 1 (/.f64 -1/2 x) (neg.f64 x))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (neg.f64 x))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 x)) 2) (cbrt.f64 (/.f64 -1/2 x)) (neg.f64 x))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (/.f64 -1/2 x) x)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.1b	(+.f64 x (hypot.f64 1 x))
✓	3.0b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 25 to 16 computations (36% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	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	(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))

rewrite58.0ms (1.1%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))))

simplify80.0ms (1.5%)

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))

eval295.0ms (5.4%)

Compiler: Compiled 14276 to 9129 computations (36.1% saved)

prune149.0ms (2.7%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	608	2	610
Fresh	2	3	5
Picked	0	1	1
Done	3	7	10
Total	613	13	626

Error

Counts

626 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	34.0b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (-.f64 (-.f64 1 x) (/.f64 1/2 x))))) x)
✓	31.9b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x)))))) x)
✓	25.8b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓	14.5b	(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
✓	62.5b	(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
✓	28.7b	(copysign.f64 (log1p.f64 x) x)
	46.6b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	48.5b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	42.0b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	63.0b	(copysign.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) x)
	43.9b	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	32.7b	(copysign.f64 x x)

Compiler

Compiled 133 to 88 computations (33.8% saved)

regimes51.0ms (0.9%)

Counts

30 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 x x)) x)
(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (-.f64 (/.f64 -1/2 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x)))))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (-.f64 (-.f64 1 x) (/.f64 1/2 x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
(copysign.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) -1)) x)
(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 (/.f64 1/4 x) 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)
(copysign.f64 (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 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))) x)
(copysign.f64 (fma.f64 (pow.f64 x 6) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 (+.f64 1 x) 2)) (/.f64 1/24 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (+.f64 1 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 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)))) x)

Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)

Calls

2 calls:

29.0ms	x
13.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
0.3b	2	`x`
0.3b	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 366 to 238 computations (35% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.04983878321346	-3.131717107857738e-12

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes35.0ms (0.6%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 169 to 104 computations (38.5% saved)

bsearch43.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.0001000867350761438	0.005121900391807888
29.0ms	-10.532286994447027	-3.1317680002087243e-12

Results

39.0ms

272×

body

256

valid

Compiler

Compiled 394 to 287 computations (27.2% saved)

regimes59.0ms (1.1%)

Counts

19 → 3

Calls

Call 1

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

Calls

1 calls:

54.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 159 to 97 computations (39% saved)

bsearch35.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.0001000867350761438	0.005121900391807888
21.0ms	-10.532286994447027	-3.1317680002087243e-12

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 354 to 257 computations (27.4% saved)

regimes37.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x)))))) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 142 to 85 computations (40.1% saved)

bsearch58.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.005121900391807888	270500424542.5135
30.0ms	-10.532286994447027	-3.1317680002087243e-12

Results

53.0ms

320×

body

256

valid

Compiler

Compiled 537 to 342 computations (36.3% saved)

regimes23.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

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

21.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 98 to 60 computations (38.8% saved)

bsearch41.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.005121900391807888	270500424542.5135
22.0ms	-10.532286994447027	-3.1317680002087243e-12

Results

37.0ms

320×

body

256

valid

Compiler

Compiled 397 to 282 computations (29% saved)

regimes26.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

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

24.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 67 to 40 computations (40.3% saved)

bsearch40.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.005121900391807888	270500424542.5135
21.0ms	-10.532286994447027	-3.1317680002087243e-12

Results

37.0ms

320×

body

256

valid

Compiler

Compiled 277 to 182 computations (34.3% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
14.4b	2	`x`

Compiler

Compiled 16 to 8 computations (50% saved)

bsearch22.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.005121900391807888	270500424542.5135

Results

18.0ms

160×

body

256

valid

Compiler

Compiled 147 to 92 computations (37.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -6.4b remaining (-23.2%)

Threshold costs -6.4b (-23.2%)

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:

6.0ms

Results

Error	Segments	Branch
27.5b	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch23.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	0.005121900391807888	270500424542.5135

Results

21.0ms

160×

body

256

valid

Compiler

Compiled 127 to 82 computations (35.4% saved)

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
6×	`sub-neg`
6×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	583
1	93	583
2	97	583
3	99	583
4	100	583

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 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -3039929748475085/2251799813685248) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 2) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x 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 5/4) (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 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (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 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -2) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -3039929748475085/2251799813685248) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 2) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x)))))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3039929748475085/2251799813685248) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 2) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 (*.f64 x x) 1/2))))) 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 5/4) (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 5/4) (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 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 225 to 148 computations (34.2% saved)

soundness309.0ms (5.6%)

Algorithm

7×	egg-herbie

Rules

1266×	`associate-r`
1266×	`associate-r`
1266×	`associate-r`
1258×	`associate-+l-`
1152×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27
0	134	1309
1	336	1213
2	1136	1079
3	5135	1077
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941
0	12	33
1	18	27
2	19	27
0	134	1309
1	336	1213
2	1136	1079
3	5135	1077
0	12	33
1	18	27
2	19	27
0	134	1309
1	336	1213
2	1136	1079
3	5135	1077

Stop Event

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

Compiler

Compiled 353 to 225 computations (36.3% saved)

end227.0ms (4.1%)

Compiler: Compiled 217 to 127 computations (41.5% saved)