Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample614.0ms (14.9%)

Results

604.0ms

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)

simplify15.0ms (0.4%)

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

47.26%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.26%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	2.62%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 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)))
0.0ms	x	@	-inf	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
0.0ms	x	@	inf	(+.f64 (fabs.f64 x) (hypot.f64 1 x))

rewrite63.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

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

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

82 → 148

Calls

Call 1

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

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

eval47.0ms (1.1%)

Compiler: Compiled 2590 to 1667 computations (35.6% saved)

prune28.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	137	11	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	11	149

Error

0.01%

Counts

149 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	48.26%	(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 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x))) x)
	47.36%	(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x)
	88.8%	(copysign.f64 (-.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)))) x)
▶	41.6%	(copysign.f64 (log1p.f64 x) x)
▶	71.89%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	75.36%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	73.78%	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
	70.69%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	73.83%	(copysign.f64 (log.f64 (+.f64 x x)) x)
	88.36%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
▶	91.38%	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 270 to 186 computations (31.1% saved)

localize5.0ms (0.1%)

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

localize6.0ms (0.2%)

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

localize9.0ms (0.2%)

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

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (/.f64 1/2 x) (+.f64 x x))

Compiler

Compiled 34 to 17 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (/.f64 1/2 x) (+.f64 x x))
0.0ms	x	@	inf	(+.f64 (/.f64 1/2 x) (+.f64 x x))
0.0ms	x	@	-inf	(+.f64 (/.f64 1/2 x) (+.f64 x x))

rewrite56.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`add-sqr-sqrt`
1260×	`*-un-lft-identity`
1204×	`add-cube-cbrt`
1198×	`add-cbrt-cube`
1190×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	168	7
2	2838	7

Stop Event

1×	node limit

Counts

1 → 125

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 1 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x x) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 0) (.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 1/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (.f64 (neg.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 x 3)) (.f64 (+.f64 x x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (.f64 (neg.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/2) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -1/2) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/8 (pow.f64 (neg.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x x) -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (+.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/2 (+.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (.f64 x x)) (-.f64 (+.f64 x (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (-.f64 (.f64 x x) (.f64 (+.f64 x (+.f64 x x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/2 (fma.f64 x x 0)) (.f64 x (.f64 2 (pow.f64 x 3)))) (.f64 x (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 x x 0) (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3)))) (.f64 (+.f64 x x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (.f64 (neg.f64 x) 0)) (.f64 (neg.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -1/2 (fma.f64 x x 0)) (.f64 (neg.f64 x) (.f64 2 (pow.f64 x 3)))) (.f64 (neg.f64 x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 0 x) 0) (.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 0 (+.f64 x x)) 0) (.f64 0 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 0 (neg.f64 x)) 0) (.f64 0 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) x) (.f64 (fma.f64 x x 0) 1/2)) (.f64 (fma.f64 x x 0) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (.f64 (fma.f64 x x 0) 1)) (.f64 2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 2 (pow.f64 x 3)) (neg.f64 x)) (.f64 (fma.f64 x x 0) -1/2)) (.f64 (fma.f64 x x 0) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/2 (fma.f64 x x 0)) (.f64 x (.f64 2 (pow.f64 x 3)))) (.f64 x (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x x 0) (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3)))) (.f64 (+.f64 x x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (.f64 (neg.f64 x) 0)) (.f64 (neg.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -1/2 (fma.f64 x x 0)) (.f64 (neg.f64 x) (.f64 2 (pow.f64 x 3)))) (.f64 (neg.f64 x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (.f64 0 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (.f64 (fma.f64 x x 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 2 (pow.f64 x 3))) (.f64 x (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/2 (.f64 2 (pow.f64 x 3))) (.f64 (neg.f64 x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (+.f64 x x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 x x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (neg.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/2) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -1/2) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/8 (pow.f64 (neg.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (*.f64 x x)) (-.f64 (+.f64 x (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (-.f64 (*.f64 x x) (*.f64 (+.f64 x (+.f64 x x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 (fma.f64 x x 0)) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 x (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 x x 0) (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (*.f64 (neg.f64 x) 0)) (*.f64 (neg.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (fma.f64 x x 0)) (*.f64 (neg.f64 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 0 x) 0) (*.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 0 (+.f64 x x)) 0) (*.f64 0 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 0 (neg.f64 x)) 0) (*.f64 0 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x 0) 1/2)) (*.f64 (fma.f64 x x 0) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (*.f64 (fma.f64 x x 0) 1)) (*.f64 2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x 0) -1/2)) (*.f64 (fma.f64 x x 0) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/2 (fma.f64 x x 0)) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 x (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x x 0) (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (neg.f64 x) 0)) (*.f64 (neg.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1/2 (fma.f64 x x 0)) (*.f64 (neg.f64 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 2 (pow.f64 x 3))) (*.f64 x (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 2 (pow.f64 x 3))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (+.f64 x x))))))

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

104×	`*-commutative`
60×	`associate-/r*`
30×	`associate-/l*`
30×	`sqr-pow`
30×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	783
1	812	783

Stop Event

1×

unsound

Counts

137 → 150

Calls

Call 1

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

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

localize26.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	1.17%	(-.f64 (hypot.f64 1 x) x)
✓	2.6%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite75.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

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

simplify75.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

130 → 219

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 -1 x (.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (-.f64 (.f64 (pow.f64 x 4) -1/8) x)))
(+.f64 1 (-.f64 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/8)) x))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.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)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
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 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 2 x)
(*.f64 x 2)
(+.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 (/.f64 1/2 x) (fma.f64 x 2 (/.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 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.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 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 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
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(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
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(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
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(-.f64 (hypot.f64 1 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
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(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (hypot.f64 1 x) x)
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(.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
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(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
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eval108.0ms (2.6%)

Compiler: Compiled 5379 to 3670 computations (31.8% saved)

prune63.0ms (1.5%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	364	5	369
Fresh	4	2	6
Picked	1	0	1
Done	0	4	4
Total	369	11	380

Error

0.01%

Counts

380 → 11

Alt Table

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Status	Error	Program
	82.39%	(copysign.f64 (-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) x)
▶	47.93%	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	71.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	41.6%	(copysign.f64 (log1p.f64 x) x)
▶	75.36%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	73.78%	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
▶	70.69%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	73.83%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	91.38%	(copysign.f64 (log.f64 (neg.f64 x)) x)
	72.07%	(copysign.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) x)
▶	46.33%	(copysign.f64 x x)

Compiler

Compiled 175 to 122 computations (30.3% saved)

localize5.0ms (0.1%)

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

localize9.0ms (0.2%)

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

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(pow.f64 x 3)
✓	0.18%	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 x 3)
0.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(pow.f64 x 3)
0.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/6 (pow.f64 x 3))

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
1144×	`add-cube-cbrt`
1136×	`add-cbrt-cube`
1120×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	20
2	1597	20

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))

simplify62.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-+r+`
1074×	`associate-+l+`
966×	`distribute-lft-in`
954×	`distribute-rgt-in`
636×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	636
1	181	456
2	658	276
3	1740	276
4	7530	276

Stop Event

1×	node limit

Counts

30 → 36

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 x (.f64 x x))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x x)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x x)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 x x) x)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) 1) x)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.76%	(+.f64 x (hypot.f64 1 x))
✓	2.6%	(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 (1.4%)

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))))))

simplify76.0ms (1.9%)

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)
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(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))))
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(/.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))

localize16.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.17%	(-.f64 (hypot.f64 1 x) x)
✓	2.62%	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1610×	`*-un-lft-identity`
1496×	`add-cube-cbrt`
1480×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	159	17
2	1967	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1066×	`distribute-lft-in`
896×	`associate-r`
862×	`distribute-rgt-in`
850×	`associate-+l-`
746×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	993
1	285	897
2	974	897
3	4199	897

Stop Event

1×	node limit

Counts

33 → 76

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(+.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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.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 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))

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

eval103.0ms (2.5%)

Compiler: Compiled 5319 to 3773 computations (29.1% saved)

prune58.0ms (1.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	332	3	335
Fresh	2	0	2
Picked	0	1	1
Done	1	7	8
Total	335	11	346

Error

0.01%

Counts

346 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.93%	(copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x)
▶	72.7%	(copysign.f64 (neg.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)) x)
✓	71.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶	72.07%	(copysign.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) x)
✓	41.6%	(copysign.f64 (log1p.f64 x) x)
✓	75.36%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	73.78%	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
✓	70.69%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	73.83%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	91.38%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	46.33%	(copysign.f64 x x)

Compiler

Compiled 98 to 66 computations (32.7% saved)

localize145.0ms (3.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.24%	(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
✓	0.28%	(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)
	1.17%	(-.f64 (hypot.f64 1 x) x)
	2.62%	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 57 to 42 computations (26.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)
1.0ms	x	@	inf	(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)
0.0ms	x	@	0	(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))

rewrite64.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1962×	`add-sqr-sqrt`
1932×	`*-un-lft-identity`
1816×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
192×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	225	40
2	2479	40

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3/2) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 3) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)))))))

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

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1108×	`distribute-lft-in`
1066×	`+-commutative`
1030×	`distribute-rgt-in`
928×	`unswap-sqr`
728×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	3690
1	741	3400
2	2730	3146

Stop Event

1×	node limit

Counts

72 → 139

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 5)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 5)) (*.f64 -37/120 (pow.f64 x 7))))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 5)) (+.f64 (.f64 3229/15120 (pow.f64 x 9)) (.f64 -37/120 (pow.f64 x 7)))))
(pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3) (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 4))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (/.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (+.f64 1/16 (.f64 3/16 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 x 4)))))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 4))) (+.f64 (.f64 -5/96 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 6))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (-.f64 (.f64 -5/48 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3/64)) (pow.f64 x 6)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 1/16 (.f64 3/16 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (+.f64 1/16 (.f64 3/16 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 x 4)) (.f64 -3/64 (/.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 6))))))))))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3) (.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (+.f64 1/16 (.f64 -3/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4)) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -3/32 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3) (.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))))))))
(+.f64 (.f64 5/96 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 6))) (+.f64 (.f64 -3/64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (+.f64 1/16 (.f64 -3/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 6))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (+.f64 1/16 (.f64 -3/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (-.f64 (.f64 5/48 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3/64)) (pow.f64 x 6)) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -3/32 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 4))) (.f64 1/4 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))))))))))))
(*.f64 -1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(+.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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.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 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) 1)
(*.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1)
(.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3/2) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3/2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 3) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/3) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3/2) 1/3))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/3))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))

Outputs
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 5)))
(fma.f64 -1 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 5)))
(-.f64 (*.f64 1/2 (pow.f64 x 5)) (pow.f64 x 3))
(fma.f64 1/2 (pow.f64 x 5) (neg.f64 (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 5)) (*.f64 -37/120 (pow.f64 x 7))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 5) (*.f64 -37/120 (pow.f64 x 7))))
(-.f64 (fma.f64 1/2 (pow.f64 x 5) (*.f64 -37/120 (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 5)) (+.f64 (.f64 3229/15120 (pow.f64 x 9)) (.f64 -37/120 (pow.f64 x 7)))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 5) (fma.f64 3229/15120 (pow.f64 x 9) (*.f64 -37/120 (pow.f64 x 7)))))
(-.f64 (fma.f64 1/2 (pow.f64 x 5) (fma.f64 -37/120 (pow.f64 x 7) (*.f64 3229/15120 (pow.f64 x 9)))) (pow.f64 x 3))
(pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3)
(pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 3)
(pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3) (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2) (.f64 x x)) (+.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 3) (.f64 (/.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2) (*.f64 x x)) -1/4)))
(fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) -1/4 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3)))
(+.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) -3/4))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 4))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (/.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (+.f64 1/16 (.f64 3/16 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 x 4)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2) (.f64 x x)) (fma.f64 1/8 (/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (pow.f64 x 4)) (fma.f64 3/32 (/.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2) (pow.f64 x 4)) (+.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 3) (fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2) (.f64 x x)) (/.f64 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (+.f64 1/16 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 3/16))) (pow.f64 x 4)))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) (fma.f64 1/8 (/.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (pow.f64 x 4)) (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) -1/4 (*.f64 (/.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (pow.f64 x 4)) (fma.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3/16 1/16))) (fma.f64 3/32 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (pow.f64 x 4)) (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) (fma.f64 1/8 (/.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (pow.f64 x 4)) (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) -1/4 (*.f64 (/.f64 (fma.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3/16 1/16) (pow.f64 x 4)) (-.f64 (log.f64 1/2) (log.f64 x)))) (fma.f64 3/32 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (pow.f64 x 4)) (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3)))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 4))) (+.f64 (.f64 -5/96 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 6))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (-.f64 (.f64 -5/48 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3/64)) (pow.f64 x 6)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 1/16 (.f64 3/16 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (+.f64 1/16 (.f64 3/16 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 x 4)) (.f64 -3/64 (/.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 6))))))))))))
(+.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 3) (fma.f64 3/32 (/.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2) (pow.f64 x 4)) (fma.f64 -5/96 (/.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2) (pow.f64 x 6)) (+.f64 (/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 (pow.f64 x 6) (fma.f64 -5/48 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) -3/64))) (fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2) (.f64 x x)) (fma.f64 -1/4 (/.f64 (+.f64 1/16 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 3/16)) (pow.f64 x 6)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2) (.f64 x x)) (fma.f64 1/8 (/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (+.f64 1/16 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 3/16))) (pow.f64 x 4)) (.f64 -3/64 (/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (pow.f64 x 6))))))))))))
(+.f64 (+.f64 (fma.f64 3/32 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (pow.f64 x 4)) (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3)) (fma.f64 -5/96 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (pow.f64 x 6)) (.f64 (/.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (pow.f64 x 6)) (fma.f64 (-.f64 (log.f64 1/2) (log.f64 x)) -5/48 -3/64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) -1/4 (fma.f64 -1/4 (/.f64 (fma.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3/16 1/16) (pow.f64 x 6)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) (fma.f64 1/8 (/.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (pow.f64 x 4)) (fma.f64 -3/64 (/.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (pow.f64 x 6)) (.f64 (/.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (pow.f64 x 4)) (fma.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3/16 1/16))))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) -1/4 (fma.f64 -1/4 (/.f64 (fma.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3/16 1/16) (pow.f64 x 6)) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (.f64 x x)) (+.f64 (.f64 (/.f64 -3/64 (pow.f64 x 6)) (-.f64 (log.f64 1/2) (log.f64 x))) (.f64 (/.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (pow.f64 x 4)) (+.f64 1/8 (fma.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3/16 1/16))))))) (+.f64 (fma.f64 3/32 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (pow.f64 x 4)) (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3)) (fma.f64 -5/96 (/.f64 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2) (pow.f64 x 6)) (*.f64 (fma.f64 (-.f64 (log.f64 1/2) (log.f64 x)) -5/48 -3/64) (/.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (pow.f64 x 6))))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 3)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3) (.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2)))))
(fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 2) (.f64 x x)) (+.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 3) (.f64 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 2) (*.f64 x x)) 1/4)))
(fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) 1/4 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 3)))
(+.f64 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 3) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) 3/4))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (+.f64 1/16 (.f64 -3/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4)) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -3/32 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3) (.f64 1/4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))))))))
(+.f64 (/.f64 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 1/16 (.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) -3/16))) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 2) (.f64 x x)) (fma.f64 -3/32 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 2) (pow.f64 x 4)) (+.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 3) (.f64 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 2) (*.f64 x x)) 1/4))))))
(+.f64 (.f64 (/.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (pow.f64 x 4)) (fma.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) -3/16 1/16)) (fma.f64 1/8 (/.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) (fma.f64 -3/32 (/.f64 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2) (*.f64 x x)) 1/4 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 3))))))
(+.f64 (+.f64 (fma.f64 -3/32 (/.f64 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2) (pow.f64 x 4)) (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 3)) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2) (.f64 x x)) 3/4)) (*.f64 (/.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (pow.f64 x 4)) (+.f64 (fma.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) -3/16 1/16) 1/8)))
(+.f64 (.f64 5/96 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 6))) (+.f64 (.f64 -3/64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 (+.f64 1/16 (.f64 -3/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 6))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 4))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (+.f64 1/16 (.f64 -3/16 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (-.f64 (.f64 5/48 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3/64)) (pow.f64 x 6)) (+.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -3/32 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 4))) (.f64 1/4 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2) (pow.f64 x 2))))))))))))
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(log.f64 (+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))

localize55.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.41%	(exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
	1.17%	(-.f64 (hypot.f64 1 x) x)
	2.62%	(log.f64 (-.f64 (hypot.f64 1 x) x))
✓	2.64%	(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)

Compiler

Compiled 66 to 49 computations (25.8% saved)

series7.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
2.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
2.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
1.0ms	x	@	-inf	(exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
0.0ms	x	@	inf	(exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))

rewrite84.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`*-commutative`
792×	`associate-*r/`
714×	`unswap-sqr`
608×	`associate-*l/`
574×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	229	40
2	2664	40

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))

Outputs

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

simplify201.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate--r+`
1236×	`associate--l+`
990×	`associate-+l-`
876×	`associate-+r-`
536×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	477	12551
1	1348	11453
2	5343	11453

Stop Event

1×	node limit

Counts

167 → 278

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(+.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 (.f64 (+.f64 (.f64 1/24 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (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 (/.f64 (.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (.f64 1/24 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (pow.f64 x 4)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/720 (-.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3)))))) (.f64 -1/96 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))))) (.f64 1/384 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (.f64 -1/24 (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (.f64 -1/24 (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/720 (+.f64 (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (+.f64 (.f64 1/384 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3))) (.f64 -1/96 (/.f64 (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))) (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))))) (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 6)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1 (.f64 -1 x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5)))))
(+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (/.f64 (.f64 (+.f64 (.f64 1/24 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 (.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (.f64 1/24 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (pow.f64 x 4)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/720 (-.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3)))))) (.f64 -1/96 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))))) (.f64 1/384 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 1 (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 1 (+.f64 (log.f64 2) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (.f64 -1/24 (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 1 (+.f64 (log.f64 2) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2))) (.f64 -1/24 (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 4)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/720 (+.f64 (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))))) (+.f64 (.f64 1/384 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 3))) (.f64 -1/96 (/.f64 (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 2)))) (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))))) (+.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (pow.f64 x 6)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))))
(+.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 1 (-.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)
(+.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) -2)
(+.f64 -1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (.f64 1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (.f64 1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1) (.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1) (.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
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(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (neg.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
(fma.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(+.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0)
(+.f64 0 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1)
(+.f64 -1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(+.f64 (+.f64 1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0)
(-.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (-.f64 (log.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 x (+.f64 x (hypot.f64 1 x)))))) 1))
(-.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x x) (.f64 x x)))) (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) 1))
(-.f64 (+.f64 1 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 x (+.f64 x (hypot.f64 1 x)))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (-.f64 (.f64 x x) (.f64 x x))))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(*.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (E.f64) (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (exp.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x)))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (/.f64 (.f64 (+.f64 (.f64 1/24 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) (/.f64 (pow.f64 x 4) (fma.f64 1/24 (-.f64 (/.f64 9/4 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 2))) (/.f64 1/32 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 2)))))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (.f64 (/.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) (pow.f64 x 4)) (fma.f64 1/24 (+.f64 (/.f64 9/4 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (/.f64 -3/4 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2))) (/.f64 1/32 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2))))) (/.f64 -1/4 (.f64 x x)))
(+.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (.f64 (/.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) (pow.f64 x 4)) (fma.f64 1/24 (+.f64 (/.f64 9/4 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2)))) (/.f64 -3/4 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 2))) (/.f64 1/32 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 2))))) (/.f64 -1/4 (.f64 x x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 (.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (.f64 1/24 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (pow.f64 x 4)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/720 (-.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3)))))) (.f64 -1/96 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))))) (.f64 1/384 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 3)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 6))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (+.f64 (log.f64 1/2) (/.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) (/.f64 (pow.f64 x 4) (fma.f64 1/24 (-.f64 (/.f64 9/4 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 2))) (/.f64 1/32 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 2)))))) (/.f64 (-.f64 (fma.f64 1/720 (-.f64 (-.f64 (/.f64 135/8 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 2)) (/.f64 75/2 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)))) (/.f64 15/4 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 3))) (.f64 -1/96 (/.f64 (-.f64 (/.f64 9/4 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 2))) (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2))))) (/.f64 1/384 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 3))) (/.f64 (pow.f64 x 6) (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2))))) (/.f64 1/4 (.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) (pow.f64 x 4)) (fma.f64 1/24 (+.f64 (/.f64 9/4 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (/.f64 -3/4 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2))) (/.f64 1/32 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2)))) (/.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 (pow.f64 x 6) (fma.f64 1/720 (-.f64 (-.f64 (/.f64 135/8 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2)) (/.f64 75/2 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))))) (/.f64 15/4 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 3))) (fma.f64 -1/96 (-.f64 (/.f64 9/4 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2)) (/.f64 3/4 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 3))) (/.f64 -1/384 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 3))))))) (/.f64 -1/4 (.f64 x x))))
(+.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) (/.f64 (pow.f64 x 6) (fma.f64 1/720 (-.f64 (-.f64 (/.f64 135/8 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 2)) (/.f64 75/2 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))))) (/.f64 15/4 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 3))) (fma.f64 -1/96 (-.f64 (/.f64 9/4 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 2)) (/.f64 3/4 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 3))) (/.f64 -1/384 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 3))))))) (-.f64 (.f64 (/.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) (pow.f64 x 4)) (fma.f64 1/24 (+.f64 (/.f64 9/4 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2)))) (/.f64 -3/4 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 2))) (/.f64 1/32 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 2)))) (/.f64 1/4 (.f64 x 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))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
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(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (E.f64) (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(fabs.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (exp.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))

localize36.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.15%	(.f64 (.f64 x x) x)
✓	0.18%	(.f64 -1/6 (.f64 (*.f64 x x) x))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`add-sqr-sqrt`
1190×	`*-un-lft-identity`
1120×	`add-cube-cbrt`
1110×	`add-cbrt-cube`
1098×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	143	20
2	1626	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 -1/6 (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))

simplify48.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1756×	`log-prod`
1272×	`associate-+r+`
1234×	`associate-+l+`
1100×	`associate-r`
866×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	460
1	129	460
2	522	460
3	2951	460

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

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

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

eval644.0ms (15.7%)

Compiler: Compiled 22378 to 17735 computations (20.7% saved)

prune166.0ms (4%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	763	1	764
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	763	12	775

Error

0.01%

Counts

775 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.93%	(copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x)
	93.46%	(copysign.f64 (neg.f64 (-.f64 (-.f64 1 x) 1)) x)
✓	72.7%	(copysign.f64 (neg.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)) x)
✓	71.9%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	72.07%	(copysign.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) x)
✓	41.6%	(copysign.f64 (log1p.f64 x) x)
✓	75.36%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	73.78%	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
✓	70.69%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	73.83%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	91.38%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	46.33%	(copysign.f64 x x)

Compiler

Compiled 107 to 73 computations (31.8% saved)

regimes48.0ms (1.2%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
12.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
0.02%	3	`x`
0.02%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 257 to 168 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.965004121375549e-5	0.06284873524448552
0.0ms	-22.394839036262912	-1.567412866153512e-11

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes21.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.41%	3	`x`

Compiler

Compiled 71 to 42 computations (40.8% saved)

bsearch37.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.06289011845201636	7.325314531627639
24.0ms	-2660265736.5342236	-1.5674216959867482e-11

Results

34.0ms

288×

body

256

valid

Compiler

Compiled 423 to 278 computations (34.3% saved)

regimes19.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.46%	3	`x`

Compiler

Compiled 61 to 37 computations (39.3% saved)

bsearch42.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.06289011845201636	7.325314531627639
26.0ms	-2660265736.5342236	-1.5674216959867482e-11

Results

38.0ms

288×

body

256

valid

Compiler

Compiled 395 to 257 computations (34.9% saved)

regimes14.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
16.48%	3	`x`

Compiler

Compiled 46 to 27 computations (41.3% saved)

bsearch38.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.06289011845201636	7.325314531627639
25.0ms	-2660265736.5342236	-1.5674216959867482e-11

Results

35.0ms

288×

body

256

valid

Compiler

Compiled 384 to 246 computations (35.9% saved)

regimes48.0ms (1.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

47.0ms

Results

Error	Segments	Branch
34.18%	2	`x`

Compiler

Compiled 40 to 24 computations (40% saved)

bsearch23.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-2660265736.5342236	-1.5674216959867482e-11

Results

21.0ms

176×

body

256

valid

Compiler

Compiled 160 to 111 computations (30.6% saved)

regimes13.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (neg.f64 (-.f64 (-.f64 1 x) 1)) x)
(copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x)
(copysign.f64 (log1p.f64 x) x)

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
39.78%	2	`x`

Compiler

Compiled 29 to 17 computations (41.4% saved)

bsearch15.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.06289011845201636	7.325314531627639

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 94 to 61 computations (35.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -31.3b remaining (-105.7%)

Threshold costs -31.3b (-105.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (neg.f64 (-.f64 (-.f64 1 x) 1)) x)
(copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x)

Outputs
(copysign.f64 x x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
46.33%	1	`x`

Compiler

Compiled 25 to 15 computations (40% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	489
1	78	489
2	80	489
3	81	489

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) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/295147905179352825856) (copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) 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 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 6980579422424269/4503599627370496) (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) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/295147905179352825856) (copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/295147905179352825856) (copysign.f64 (+.f64 x (.f64 -1/6 (.f64 x (*.f64 x 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 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (.f64 -1/6 (.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) 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 x (.f64 -1/6 (.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 -1/6 (.f64 (*.f64 x x) x)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 -1/6 (.f64 x (*.f64 x x)))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 6980579422424269/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 185 to 115 computations (37.8% saved)

soundness213.0ms (5.2%)

Algorithm

6×	egg-herbie

Rules

1328×	`fma-def`
1328×	`fma-def`
1328×	`fma-def`
958×	`unswap-sqr`
958×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982

Stop Event

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

Compiler

Compiled 480 to 316 computations (34.2% saved)

end98.0ms (2.4%)

Compiler: Compiled 179 to 93 computations (48% saved)

Details

analyze0.0ms (0%)

sample614.0ms (14.9%)

preprocess4.0ms (0.1%)

simplify15.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite63.0ms (1.5%)

simplify59.0ms (1.4%)

eval47.0ms (1.1%)

prune28.0ms (0.7%)

localize5.0ms (0.1%)

localize6.0ms (0.2%)

localize9.0ms (0.2%)

localize14.0ms (0.3%)

series1.0ms (0%)

rewrite56.0ms (1.4%)

simplify26.0ms (0.6%)

localize26.0ms (0.6%)

series3.0ms (0.1%)

rewrite75.0ms (1.8%)

simplify75.0ms (1.8%)

eval108.0ms (2.6%)

prune63.0ms (1.5%)

localize5.0ms (0.1%)

localize9.0ms (0.2%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite52.0ms (1.3%)

simplify62.0ms (1.5%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite58.0ms (1.4%)

simplify76.0ms (1.9%)

localize16.0ms (0.4%)

series1.0ms (0%)

rewrite52.0ms (1.3%)

simplify52.0ms (1.3%)

eval103.0ms (2.5%)

prune58.0ms (1.4%)

localize145.0ms (3.5%)

series4.0ms (0.1%)

rewrite64.0ms (1.6%)

simplify71.0ms (1.7%)

localize55.0ms (1.3%)

series7.0ms (0.2%)

rewrite84.0ms (2%)

simplify201.0ms (4.9%)

localize36.0ms (0.9%)

series1.0ms (0%)

rewrite53.0ms (1.3%)

simplify48.0ms (1.2%)

eval644.0ms (15.7%)

prune166.0ms (4%)

regimes48.0ms (1.2%)

bsearch0.0ms (0%)

regimes21.0ms (0.5%)

bsearch37.0ms (0.9%)

regimes19.0ms (0.5%)

bsearch42.0ms (1%)

regimes14.0ms (0.3%)

bsearch38.0ms (0.9%)

regimes48.0ms (1.2%)

bsearch23.0ms (0.5%)

regimes13.0ms (0.3%)

bsearch15.0ms (0.4%)

regimes4.0ms (0.1%)

simplify12.0ms (0.3%)

soundness213.0ms (5.2%)

end98.0ms (2.4%)

Profiling