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)

sample610.0ms (10.3%)

Results

599.0ms

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)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	2.2b	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series3.0ms (0%)

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))

rewrite62.0ms (1%)

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

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1382×	`fma-def`
918×	`unswap-sqr`
764×	`distribute-lft-in`
732×	`distribute-rgt-in`
574×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	2672
1	598	2394
2	2212	1982

Stop Event

1×	node limit

Counts

82 → 150

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

eval47.0ms (0.8%)

Compiler: Compiled 2657 to 1679 computations (36.8% saved)

prune30.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	138	12	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	12	151

Error

0.0b

Counts

151 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	31.6b	(copysign.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)) x)
	29.8b	(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3) x)
	54.9b	(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)
	29.1b	(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) x)
	57.2b	(copysign.f64 (+.f64 1 (log.f64 x)) x)
▶	27.4b	(copysign.f64 (log1p.f64 x) x)
▶	46.2b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
▶	48.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	43.6b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	45.6b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
	45.7b	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 276 to 190 computations (31.2% saved)

localize5.0ms (0.1%)

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

localize7.0ms (0.1%)

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

localize9.0ms (0.1%)

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

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 22 computations (38.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`associate-*l/`
952×	`*-commutative`
786×	`distribute-lft-in`
722×	`distribute-rgt-in`
544×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	203	42
2	2872	42

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

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

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

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1776×	`associate-*l/`
986×	`associate-+l+`
976×	`associate-+r+`
904×	`+-commutative`
364×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	5983
1	1056	5505
2	4467	5357

Stop Event

1×	node limit

Counts

137 → 234

Calls

Call 1

Inputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 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 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(/.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 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 0)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(+.f64 0 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))) (log.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 1))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (log.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))) (log.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))) 1)
(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 2) (cbrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(log1p.f64 (+.f64 (+.f64 x x) (-.f64 (/.f64 1/2 x) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 (+.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x)))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(-.f64 (/.f64 x (/.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) x)) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 1/2 x))) (-.f64 (/.f64 (/.f64 1/4 (.f64 x x)) (-.f64 x (/.f64 1/2 x))) x))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))) 1)
(-.f64 (+.f64 x (/.f64 (.f64 x x) (-.f64 x (/.f64 1/2 x)))) (/.f64 (/.f64 1/4 (.f64 x x)) (-.f64 x (/.f64 1/2 x))))
(-.f64 (+.f64 (+.f64 x (/.f64 1/2 x)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x x) (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)
(*.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(*.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(.f64 (/.f64 1 (-.f64 (-.f64 x x) (/.f64 1/2 x))) (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))
(.f64 (/.f64 1 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (+.f64 x (+.f64 x (/.f64 1/2 x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (+.f64 (.f64 x x) (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))) (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))) (-.f64 (.f64 x x) (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))) (-.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))) (.f64 x x)))))
(/.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) (/.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))) (/.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))) (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))) (/.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))) (/.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))
(/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (.f64 x x))) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (.f64 x x))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x x) 3)) (+.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 3)) (.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 3)) (.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (.f64 x x)) 1) (+.f64 x (-.f64 (/.f64 1/2 x) x)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (/.f64 1/4 (*.f64 x x))) 1) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x x) 3)) 1) (+.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) 1) (neg.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) 1) (neg.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 1 (-.f64 (-.f64 x x) (/.f64 1/2 x)))) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 3)) (/.f64 1 (-.f64 (-.f64 x x) (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 1 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) 1) (-.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (sqrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)))) (sqrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (.f64 (cbrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))) (cbrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))) (sqrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))

Outputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 4 (*.f64 x x) (log.f64 1/2)) (log.f64 x))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (-.f64 (fma.f64 4 (.f64 x x) (log.f64 1/2)) (log.f64 x)) (.f64 -8 (pow.f64 x 4)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -8 (pow.f64 x 4) (.f64 64/3 (pow.f64 x 6))) (log.f64 x)) (fma.f64 4 (.f64 x x) (log.f64 1/2)))
(+.f64 (-.f64 (fma.f64 4 (.f64 x x) (log.f64 1/2)) (log.f64 x)) (fma.f64 -8 (pow.f64 x 4) (.f64 64/3 (pow.f64 x 6))))
(+.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 (/.f64 1/4 (*.f64 x x)) (log.f64 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 1/32 (/.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 1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.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 1/192 (pow.f64 x 6))))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 1/32 (pow.f64 x 4))))))
(+.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 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -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))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.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 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.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 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))) (+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/32 (pow.f64 x 4))))
(/.f64 1/2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
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(.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0)))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3/2))))
(.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3/2)) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))) (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (sqrt.f64 (-.f64 0 (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) (/.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (cbrt.f64 (-.f64 0 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2) (/.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 1 (-.f64 (-.f64 x x) (/.f64 1/2 x)))) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (/.f64 1/2 x)) 4)) (.f64 (-.f64 0 (/.f64 1/2 x)) (+.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (/.f64 1/2 x)) 4)) (*.f64 (/.f64 -1/2 x) (fma.f64 x x (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 3)) (/.f64 1 (-.f64 (-.f64 x x) (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 3)) (-.f64 0 (/.f64 1/2 x))) (+.f64 (pow.f64 x 4) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 x (/.f64 1/2 x)) 6)) (*.f64 (/.f64 -1/2 x) (fma.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (fma.f64 x x (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (pow.f64 x 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 1 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 x (/.f64 1/2 x)) 6)) (.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 x (/.f64 1/2 x)) 6)) (.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (+.f64 x (/.f64 1/2 x)) 6)) (.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 3)) (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 3)) (.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))) (fma.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 3)) (.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) 1) (-.f64 (-.f64 x x) (/.f64 1/2 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (sqrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)))) (sqrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (.f64 (cbrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))) (cbrt.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (+.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 x))))
(/.f64 (.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x)) (.f64 (+.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))) (sqrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))) (cbrt.f64 (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (fma.f64 x x (.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 0))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3) 1/3)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))) (sqrt.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(fabs.f64 (fma.f64 x 2 (/.f64 1/2 x)))
(log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	0.9b	(-.f64 (hypot.f64 1 x) x)
✓	2.2b	(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	@	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	(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)

rewrite74.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-/r*`
1236×	`associate-/l*`
920×	`associate-*r/`
722×	`+-commutative`
718×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	309	3606
1	849	3258
2	3339	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 (log.f64 (/.f64 1 (-.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 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (/.f64 1 (-.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 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 1 (-.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 (log.f64 2) (+.f64 (log.f64 x) (/.f64 (/.f64 1/4 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 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 (/.f64 1/4 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 (/.f64 1/4 x) x) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.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 -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 (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 (-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))
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 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.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 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
(fma.f64 x -2 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/16 (pow.f64 x 5)) (/.f64 -1/2 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 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 -1/16 (pow.f64 x 5)) (/.f64 -1/2 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 (/.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 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 0 (log.f64 (/.f64 1 (-.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)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
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(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(.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 (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)))))
(.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))
(-.f64 (hypot.f64 1 x) x)
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(-.f64 (hypot.f64 1 x) x)
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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)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
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(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
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(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
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(.f64 (/.f64 1 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
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(+.f64 x (hypot.f64 1 x))
(.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(.f64 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
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(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
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(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

eval178.0ms (3%)

Compiler: Compiled 9905 to 6847 computations (30.9% saved)

prune84.0ms (1.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	447	6	453
Fresh	4	3	7
Picked	1	0	1
Done	0	4	4
Total	452	13	465

Error

0.0b

Counts

465 → 13

Alt Table

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Status	Error	Program
	54.9b	(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)
▶	31.9b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	46.3b	(copysign.f64 (+.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))) x)
	57.2b	(copysign.f64 (+.f64 1 (log.f64 x)) x)
	46.2b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	27.4b	(copysign.f64 (log1p.f64 x) x)
	48.7b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
▶	45.7b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
✓	48.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	43.6b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	45.6b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	30.8b	(copysign.f64 x x)

Compiler

Compiled 243 to 171 computations (29.6% saved)

localize3.0ms (0.1%)

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

localize12.0ms (0.2%)

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	0.1b	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-*r/`
622×	`associate-*l/`
612×	`associate--r+`
610×	`+-commutative`
558×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1289
1	295	1239
2	1196	1171
3	5460	1171

Stop Event

1×	node limit

Counts

53 → 57

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 x (hypot.f64 1 x))
✓	2.2b	(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	@	-inf	(log.f64 (+.f64 x (hypot.f64 1 x)))
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	(+.f64 x (hypot.f64 1 x))
0.0ms	x	@	inf	(+.f64 x (hypot.f64 1 x))

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 137

Calls

Call 1

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

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

localize30.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (hypot.f64 1 x) x)
✓	2.2b	(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))

Compiler

Compiled 63 to 46 computations (27% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
1.0ms	x	@	-inf	(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
1.0ms	x	@	0	(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`*-commutative`
676×	`unswap-sqr`
480×	`swap-sqr`
402×	`associate-*r/`
396×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	207	23
2	2488	23

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (*.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (*.f64 -1/2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 -1/2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 1) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) 1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) -1/2) (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1/2) (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (*.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (-.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))) (-.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3)) (+.f64 0 (-.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (*.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 3) (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 3)) (+.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (-.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) (+.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) -1))))))

simplify35.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

196×	`associate-r`
192×	`fma-def`
154×	`associate-l`
132×	`+-commutative`
112×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	2266
1	499	2266
2	2190	2266

Stop Event

1×

unsound

Counts

60 → 77

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/12 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (.f64 -5/224 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 3/80 (pow.f64 x 5)))))
(*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))
(-.f64 (+.f64 (.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (.f64 5/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/8 (/.f64 1 (pow.f64 x 2))))) (.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(-.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3/64 (/.f64 1 (pow.f64 x 4))) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3/64 (/.f64 1 (pow.f64 x 4))) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.f64 (.f64 5/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 0)
(+.f64 0 (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) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (.f64 1 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(+.f64 (.f64 -1/2 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (.f64 -1/2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 -1/2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (.f64 -1/2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 1) (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 1))
(+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) 1) (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) -1/2) (.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1/2))
(+.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1/2) (.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1/2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) 1)
(*.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 1)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/2)
(*.f64 2 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (*.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3) 1/6))
(/.f64 (-.f64 0 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (-.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))) (-.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))))
(/.f64 (-.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 1))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3)) (+.f64 0 (-.f64 (.f64 1/4 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 3) (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (-.f64 (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) (+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (-.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))))
(pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 1)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(log1p.f64 (+.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) -1))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (.f64 -5/224 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5)))))
(*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(*.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))
(fma.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 1/8 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (*.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 1/8 (*.f64 x x))) (/.f64 3/64 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 -1/2 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (+.f64 (.f64 5/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/8 (/.f64 1 (pow.f64 x 2))))) (.f64 3/64 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 5/192 (pow.f64 x 6)))) (/.f64 3/64 (pow.f64 x 4)))
(.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(*.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(-.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/8 (.f64 x x)))
(-.f64 (+.f64 (.f64 3/64 (/.f64 1 (pow.f64 x 4))) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3/64 (pow.f64 x 4)) (-.f64 (.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/8 (.f64 x x))))
(-.f64 (+.f64 (.f64 3/64 (/.f64 1 (pow.f64 x 4))) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.f64 (.f64 5/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 3/64 (pow.f64 x 4)) (-.f64 (.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (+.f64 (/.f64 1/8 (.f64 x x)) (/.f64 5/192 (pow.f64 x 6)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 0)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(+.f64 0 (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) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))
(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) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) -1)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))
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(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (.f64 1 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (.f64 1 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 -1/2 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (.f64 -1/2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(.f64 -1/2 (+.f64 (.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 -1/2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (.f64 -1/2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(+.f64 (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 1) (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 1))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) 1) (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) -1/2) (.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1/2))
(.f64 -1/2 (+.f64 (.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1/2) (.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1/2))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 1)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) 1)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 1 (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 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 1)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (sqrt.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 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2) (cbrt.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 (-.f64 (hypot.f64 1 x) x)) -1/2)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 2 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.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 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2))))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(.f64 (.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (*.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (sqrt.f64 (cbrt.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 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2)) (cbrt.f64 (sqrt.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 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/2))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3) 1/6))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (-.f64 0 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (-.f64 0 (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 (-.f64 (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))) (-.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (-.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(/.f64 (-.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (-.f64 (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 1))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3)) (+.f64 0 (-.f64 (.f64 1/4 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (.f64 0 (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 (+.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 3) (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (-.f64 (.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (*.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))))))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) (+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (-.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) (fma.f64 (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (log.f64 (cbrt.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))))
(pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 1)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 2)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3) 1/3)
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(sqrt.f64 (*.f64 1/4 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 3))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(expm1.f64 (log1p.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))
(exp.f64 (log.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))
(log1p.f64 (+.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))

eval293.0ms (4.9%)

Compiler: Compiled 12693 to 9509 computations (25.1% saved)

prune102.0ms (1.7%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	518	2	520
Fresh	0	4	4
Picked	1	0	1
Done	0	8	8
Total	519	14	533

Error

0.0b

Counts

533 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	54.9b	(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)
▶	46.4b	(copysign.f64 (+.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) x)
✓	31.9b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	43.6b	(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
▶	57.2b	(copysign.f64 (+.f64 1 (log.f64 x)) x)
▶	46.2b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	27.4b	(copysign.f64 (log1p.f64 x) x)
▶	48.7b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
✓	45.7b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
✓	48.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	43.6b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	45.6b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	30.8b	(copysign.f64 x x)

Compiler

Compiled 255 to 183 computations (28.2% saved)

localize26.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
	0.5b	(+.f64 x (hypot.f64 1 x))
✓	2.2b	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))

Compiler

Compiled 56 to 39 computations (30.4% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`add-sqr-sqrt`
1740×	`*-un-lft-identity`
1618×	`add-cube-cbrt`
1602×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	177	38
2	2174	38

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1160×	`associate-r`
1084×	`associate-+r+`
974×	`associate-l`
946×	`associate-+l+`
822×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1485
1	290	1465
2	937	1437
3	4512	1437

Stop Event

1×	node limit

Counts

57 → 78

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/12 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (.f64 -5/224 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (.f64 -5/224 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 1/2 x (fma.f64 -5/224 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) -1/16 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -1/16 1)))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))

localize8.0ms (0.1%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

localize21.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x -2) (/.f64 1/2 x))
✓	0.1b	(/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite99.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`associate-*r/`
906×	`*-commutative`
722×	`associate-*l/`
612×	`associate-/r*`
410×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	221	36
2	2770	36

Stop Event

1×	node limit

Counts

2 → 221

Calls

Call 1

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

Outputs

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

simplify168.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

938×	`+-commutative`
862×	`associate-+r+`
806×	`fma-def`
804×	`associate-+l+`
666×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	542	13849
1	1520	12595
2	7144	12595

Stop Event

1×	node limit

Counts

245 → 372

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(/.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 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.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 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.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 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (.f64 x -2)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (/.f64 1/2 x)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (*.f64 x -2)))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 x (/.f64 -1 x))))
(+.f64 (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(+.f64 (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(+.f64 (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 x (/.f64 -1 x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))) 1)
(.f64 1 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x))))
(.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x))) 1)
(.f64 (pow.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)) -1/2) (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) -1/2))
(.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))))
(.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) 3) 1/3)
(neg.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(neg.f64 (/.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (+.f64 (/.f64 -1/2 x) (.f64 x 2))))
(neg.f64 (/.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(fma.f64 1 (*.f64 x -2) (/.f64 -1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (.f64 x -2)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -2)) 2) (cbrt.f64 (.f64 x -2)) (/.f64 -1/2 x))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(/.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 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))))
(/.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 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))))
(/.f64 -1/2 x)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(*.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(*.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (.f64 x -2)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)))
(/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (/.f64 1/2 x)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (*.f64 x -2)))
(/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (*.f64 x x))))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 x (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)) (/.f64 (.f64 x -1) x)))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x))) (/.f64 (neg.f64 x) x)))
(+.f64 (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 x (/.f64 -1 x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (+.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)) (/.f64 (.f64 x -1) x)))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x))) (/.f64 (neg.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))) 1)
(/.f64 1 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 1 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x))))
(/.f64 1 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x))) 1)
(/.f64 1 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (pow.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)) -1/2) (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) -1/2))
(/.f64 1 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) -2)))
(.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 -2 x) (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))))
(.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 -2 x) (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)))
(.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))))
(/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(.f64 -1 (/.f64 -1 (-.f64 (.f64 x -2) (/.f64 1/2 x))))
(/.f64 1 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (/.f64 -1 (-.f64 (.f64 x -2) (/.f64 1/2 x))) -1)
(/.f64 1 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)))
(/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x))) -1) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) -1))
(/.f64 1 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) -1))
(/.f64 1 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) 2) -1))
(/.f64 1 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2)))
(/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)))
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x))) 2) (cbrt.f64 (pow.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)) -1/2))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 -2 x) (/.f64 1/2 x))) 2) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 -2 x) (/.f64 1/2 x)) -1/2)) (cbrt.f64 (pow.f64 (-.f64 (.f64 -2 x) (/.f64 1/2 x)) -1/2))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 -2 x) (/.f64 1/2 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 -2 x) (/.f64 1/2 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 -2 x) (/.f64 1/2 x)) -2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)))))
(/.f64 (/.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x)))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(/.f64 (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))) (fma.f64 -2 x (/.f64 1/2 x)))
(/.f64 (/.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(/.f64 (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))) (fma.f64 -2 x (/.f64 1/2 x)))
(/.f64 (/.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))) (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)) (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)) (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))) (fma.f64 -2 x (/.f64 1/2 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)) (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))))
(pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) 1)
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) 2)
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) 3)
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(pow.f64 (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) 3) 1/3)
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(neg.f64 (+.f64 (/.f64 1/2 x) (*.f64 x 2)))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(neg.f64 (/.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (+.f64 (/.f64 -1/2 x) (.f64 x 2))))
(/.f64 (-.f64 (.f64 (.f64 4 x) x) (/.f64 (/.f64 1/4 x) x)) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))) (fma.f64 -2 x (/.f64 1/2 x)))
(neg.f64 (/.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))))
(/.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)) (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 -2 x) (/.f64 1/2 x)) 2))
(fabs.f64 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (exp.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)) 3))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(exp.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 1 (*.f64 x -2) (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (.f64 x -2)) (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -2)) 2) (cbrt.f64 (.f64 x -2)) (/.f64 -1/2 x))
(-.f64 (*.f64 -2 x) (/.f64 1/2 x))
(fma.f64 -2 x (/.f64 -1/2 x))

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (hypot.f64 1 x) x)
✓	2.2b	(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	@	inf	(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms	x	@	0	(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms	x	@	-inf	(log.f64 (-.f64 (hypot.f64 1 x) x))

rewrite58.0ms (1%)

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 (0.9%)

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)))

localize42.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
✓	0.2b	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)
	0.9b	(-.f64 (hypot.f64 1 x) x)
	2.2b	(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))

Compiler

Compiled 90 to 69 computations (23.3% saved)

series14.0ms (0.2%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)
5.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
1.0ms	x	@	inf	(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))

rewrite80.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`*-commutative`
822×	`unswap-sqr`
568×	`swap-sqr`
452×	`sqr-pow`
436×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	272	50
2	2984	50

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))) (log.f64 (cbrt.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) -1/2))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4))) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (-.f64 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simplify118.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1798×	`distribute-lft-in`
1366×	`associate-/l*`
1188×	`associate-*r/`
958×	`associate-*l/`
946×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	9562
1	1266	7884
2	4572	7860

Stop Event

1×	node limit

Counts

98 → 178

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3)))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
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(*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2)))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))) 3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2)) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/2)
(*.f64 2 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))) 3) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) 1/6) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) 1/6)) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) 1/6) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) 1/6)) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/4) (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)))) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/4) (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)))))
(.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)))) (*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) 3/2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/4)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) 3/2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) 3/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/4) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3/4) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 1/6) 3/2)))
(.f64 (.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) 1/6) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) 1/6))) (.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) 1/6) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2)) 3/4) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2)) 3/4))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 3) 1/6))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 2))
(log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 1)))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 3)))
(log1p.f64 (-.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 1)
(.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (cbrt.f64 -1/2) (.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 -1/2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))
(.f64 (.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (cbrt.f64 -1/2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1/6)) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/6) (pow.f64 (sqrt.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/6) (pow.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 3/2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 1)
(pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/3)
(pow.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) 2)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))

Outputs
(.f64 -1/2 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3)))
(*.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(*.f64 -1/2 (-.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
(fma.f64 -1/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (.f64 (/.f64 1 (.f64 x x)) 1/8))
(fma.f64 -1/2 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 1/8 (*.f64 x x)))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/144 (.f64 (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 4))) (pow.f64 1 1/3))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (-.f64 3/64 (.f64 1/96 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 x 4)) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 1) 1/3) (/.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 1/3) (/.f64 (-.f64 3/64 (.f64 1/96 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (cbrt.f64 -1/2)))) (.f64 1/576 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 4)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)))))) (pow.f64 x 4))))))))
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(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 2))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 1/6)) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 1/6))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))))
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 2))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 1/6)) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 1/6))))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))) 1)
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/3)
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(pow.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) 2)
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(pow.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2/3)
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/6) (pow.f64 (sqrt.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/6)) (.f64 (pow.f64 (sqrt.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/6) (pow.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/6)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))) 3)
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))))
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))
(cbrt.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))

eval966.0ms (16.2%)

Compiler: Compiled 43282 to 33460 computations (22.7% saved)

prune638.0ms (10.7%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	1349	3	1352
Fresh	1	0	1
Picked	1	0	1
Done	2	10	12
Total	1353	13	1366

Error

0.0b

Counts

1366 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.9b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
✓	57.2b	(copysign.f64 (+.f64 1 (log.f64 x)) x)
	60.6b	(copysign.f64 (neg.f64 (-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
	43.6b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))) x)
✓	46.2b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
	48.7b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
✓	27.4b	(copysign.f64 (log1p.f64 x) x)
✓	45.7b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
✓	48.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	43.6b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	45.6b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	30.8b	(copysign.f64 x x)

Compiler

Compiled 121 to 82 computations (32.2% saved)

regimes76.0ms (1.3%)

Counts

25 → 3

Calls

Call 1

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

Calls

2 calls:

36.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
33.0ms	x

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 302 to 199 computations (34.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
1.0ms	4.1582293164224155e-12	0.07175096858938955
0.0ms	-3.8478223065030677	-3.052211816157385e-10

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes24.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 108 to 70 computations (35.2% saved)

bsearch46.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	4.158251496662879e-12	0.07181254917932563
21.0ms	-23.434755981806425	-3.052211781824126e-10

Results

43.0ms

320×

body

256

valid

Compiler

Compiled 327 to 222 computations (32.1% saved)

regimes25.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
0.1b	3	`x`

Compiler

Compiled 89 to 57 computations (36% saved)

bsearch43.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.158251496662879e-12	0.07181254917932563
21.0ms	-23.434755981806425	-3.052211781824126e-10

Results

39.0ms

320×

body

256

valid

Compiler

Compiled 347 to 242 computations (30.3% saved)

regimes20.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 81 to 52 computations (35.8% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.7888964426812277	358.2439761632146
23.0ms	-23.434755981806425	-3.052211781824126e-10

Results

34.0ms

288×

body

256

valid

Compiler

Compiled 441 to 320 computations (27.4% saved)

regimes21.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 58 to 35 computations (39.7% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.7888964426812277	358.2439761632146
20.0ms	-23.434755981806425	-3.052211781824126e-10

Results

33.0ms

288×

body

256

valid

Compiler

Compiled 391 to 280 computations (28.4% saved)

regimes22.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.7888964426812277	358.2439761632146
22.0ms	-23.434755981806425	-3.052211781824126e-10

Results

33.0ms

288×

body

256

valid

Compiler

Compiled 359 to 256 computations (28.7% saved)

regimes17.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 39 to 23 computations (41% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.7888964426812277	358.2439761632146
21.0ms	-23.434755981806425	-3.052211781824126e-10

Results

35.0ms

288×

body

256

valid

Compiler

Compiled 251 to 166 computations (33.9% saved)

regimes14.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
10.6b	3	`x`

Compiler

Compiled 21 to 11 computations (47.6% saved)

bsearch35.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.7888964426812277	358.2439761632146
20.0ms	-23.434755981806425	-3.052211781824126e-10

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 241 to 156 computations (35.3% saved)

regimes8.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
22.8b	2	`x`

Compiler

Compiled 15 to 8 computations (46.7% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	-23.434755981806425	-3.052211781824126e-10

Results

18.0ms

160×

body

256

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

regimes7.0ms (0.1%)

Accuracy

Total -5.5b remaining (-21%)

Threshold costs -5.5b (-21%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
26.3b	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.7888964426812277	358.2439761632146

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 105 to 68 computations (35.2% saved)

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative`
14×	`sub-neg`
14×	`*-commutative`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	769
1	119	769
2	133	769
3	139	769
4	140	769

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 6189700196426901/1237940039285380274899124224) (copysign.f64 x x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))) x)))
(if (<=.f64 x -2420212822470693/295147905179352825856) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 2420212822470693/295147905179352825856) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -3602879701896397/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 2420212822470693/295147905179352825856) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 6189700196426901/1237940039285380274899124224) (copysign.f64 x x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1 (+.f64 x (hypot.f64 1 x))))) x)))
(if (<=.f64 x -2420212822470693/295147905179352825856) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 2420212822470693/295147905179352825856) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -3602879701896397/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 2420212822470693/295147905179352825856) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -3602879701896397/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (+.f64 (*.f64 x -2) (/.f64 -1/2 x)))) x) (if (<=.f64 x 2420212822470693/295147905179352825856) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (+.f64 (.f64 x -2) (/.f64 -1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 294 to 193 computations (34.4% saved)

soundness461.0ms (7.7%)

Algorithm

9×	egg-herbie

Rules

1452×	`associate-/r*`
1452×	`associate-/r*`
1452×	`associate-/r*`
1382×	`fma-def`
1382×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27
0	227	2672
1	598	2394
2	2212	1982
0	309	3606
1	849	3258
2	3339	3258
0	12	33
1	18	27
2	19	27
0	227	2672
1	598	2394
2	2212	1982
0	12	33
1	18	27
2	19	27
0	227	2672
1	598	2394
2	2212	1982
0	309	3606
1	849	3258
2	3339	3258
0	309	3606
1	849	3258
2	3339	3258

Stop Event

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

Compiler

Compiled 919 to 596 computations (35.1% saved)

end169.0ms (2.8%)

Compiler: Compiled 284 to 166 computations (41.5% saved)