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)

sample586.0ms (9.3%)

Results

573.0ms

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)

simplify14.0ms (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

26.6b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.6b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	0.0b	(hypot.f64 1 x)
✓	2.6b	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) (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	(hypot.f64 1 x)
0.0ms	x	@	inf	(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	45
1	179	37
2	2257	37

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

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

Outputs

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

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

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

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1164×	`distribute-lft-in`
1074×	`distribute-rgt-in`
760×	`*-commutative`
638×	`associate-/r*`
600×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	2957
1	699	2655
2	2957	2619

Stop Event

1×	node limit

Counts

113 → 195

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

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

eval102.0ms (1.6%)

Compiler: Compiled 3449 to 2206 computations (36% saved)

prune37.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	181	14	195
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	182	14	196

Error

0.2b

Counts

196 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	35.0b	(copysign.f64 (fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4) (fma.f64 1/720 (.f64 (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (pow.f64 x 6)) (fma.f64 1/2 (.f64 (/.f64 x (+.f64 1 (fabs.f64 x))) x) (log1p.f64 (fabs.f64 x))))) x)
	34.1b	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
▶	44.1b	(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
	44.4b	(copysign.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) x)
	57.4b	(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
	57.8b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	17.2b	(copysign.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) x)
	24.9b	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	43.7b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	45.9b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	45.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
▶	50.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
▶	43.8b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	57.7b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 380 to 266 computations (30% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 1 x)
✓	0.7b	(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
✓	1.3b	(+.f64 -1 (hypot.f64 1 x))
✓	1.4b	(+.f64 x (+.f64 -1 (hypot.f64 1 x)))

Compiler

Compiled 37 to 27 computations (27% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`associate-*r/`
884×	`*-commutative`
766×	`distribute-lft-in`
742×	`distribute-rgt-in`
716×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	211	55
2	2661	55

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

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

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

simplify142.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

640×	`associate-+l-`
632×	`associate-r`
614×	`distribute-lft-in`
576×	`associate-l`
552×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	545	9596
1	1614	9170
2	7292	9162

Stop Event

1×	node limit

Counts

208 → 361

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.3b	(log.f64 (+.f64 (fabs.f64 x) 1))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series50.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) 1))
15.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) 1))
10.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) 1))

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

32 → 30

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 1 x)
✓	0.7b	(+.f64 x (hypot.f64 1 x))
✓	2.6b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 25 to 16 computations (36% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (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))))))

simplify72.0ms (1.1%)

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))

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
✓	0.3b	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
	0.7b	(+.f64 x (hypot.f64 1 x))
	2.6b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 45 to 32 computations (28.9% saved)

series13.0ms (0.2%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
2.0ms	x	@	inf	(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

rewrite80.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`add-sqr-sqrt`
1912×	`*-un-lft-identity`
1798×	`add-cube-cbrt`
1780×	`add-cbrt-cube`
190×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	224	38
2	2464	38

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-/r*`
1190×	`distribute-lft-in`
1186×	`distribute-rgt-in`
1108×	`+-commutative`
706×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	5354
1	973	4730
2	3488	4712

Stop Event

1×	node limit

Counts

64 → 115

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 5/96 (+.f64 (.f64 -1/6 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (pow.f64 x 6)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (pow.f64 x 6) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 6)))) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (-.f64 5/96 (+.f64 (.f64 -1/6 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)))))))) (pow.f64 x 6))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))))))))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 4))))) (.f64 (/.f64 (+.f64 (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (pow.f64 x 4)) (pow.f64 (*.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 6))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (.f64 (/.f64 (+.f64 (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (pow.f64 x 6)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (.f64 (/.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3) (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))))) (pow.f64 x 6)) (pow.f64 (.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3)) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 4))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 (/.f64 (+.f64 (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (pow.f64 x 4)) (pow.f64 (.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3)))))))))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)
(+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 1/3))
(+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (-.f64 5/96 (+.f64 (.f64 -1/6 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (pow.f64 x 6)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 1/3))))
(pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3)
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (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 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (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 (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 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (.f64 (cbrt.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 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (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)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))

Outputs
(.f64 (pow.f64 1 1/3) (+.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 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 (/.f64 1 (.f64 x x)) 1/4))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))))))))
(+.f64 (+.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 -1/3 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (pow.f64 x 4)))) (+.f64 (.f64 (/.f64 1 (.f64 x x)) 1/4) (fma.f64 1/72 (/.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 (/.f64 (fma.f64 -2/3 (.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) (.f64 1/144 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 4))))) (pow.f64 x 4)) (cbrt.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (fma.f64 -1/3 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)) (+.f64 (/.f64 1/4 (.f64 x x)) (fma.f64 (/.f64 (fma.f64 -2/3 (.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (log.f64 x)))) (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) (.f64 1/144 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 4))))) (pow.f64 x 4)) (cbrt.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1/72 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4))))))))
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(fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (*.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 1/3 (.f64 (/.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (.f64 -1/12 (.f64 (/.f64 1 (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))))))
(+.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (.f64 x x)) (.f64 (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))))))
(+.f64 (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 1/3 (.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 5/96) (.f64 -1/6 (/.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (fma.f64 1/3 (.f64 (/.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (.f64 -1/12 (.f64 (/.f64 1 (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))))))))
(+.f64 (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (+.f64 (/.f64 (-.f64 (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (fma.f64 -1/6 (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 5/96)) (pow.f64 x 6)) (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)))) (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (*.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (+.f64 (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (/.f64 (+.f64 (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (-.f64 -5/96 (/.f64 (+.f64 -1/64 (/.f64 1/288 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (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 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (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 (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 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (.f64 (cbrt.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 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 0)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 0)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

eval429.0ms (6.8%)

Compiler: Compiled 21947 to 16536 computations (24.7% saved)

prune178.0ms (2.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	880	10	890
Fresh	7	2	9
Picked	1	0	1
Done	2	2	4
Total	890	14	904

Error

0.0b

Counts

904 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	35.0b	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
▶	34.7b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	45.7b	(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
▶	25.6b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓	17.2b	(copysign.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) x)
	30.3b	(copysign.f64 (log1p.f64 x) x)
	43.7b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	46.0b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	45.9b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	43.8b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	45.8b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
▶	45.9b	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	33.6b	(copysign.f64 x x)

Compiler

Compiled 250 to 172 computations (31.2% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 1 x)
✓	0.7b	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
✓	1.4b	(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
✓	15.0b	(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))

Compiler

Compiled 60 to 35 computations (41.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	91
1	238	91
2	3340	91

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

Outputs

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simplify113.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

970×	`+-commutative`
796×	`associate-+l+`
626×	`associate-+l-`
570×	`associate-+r+`
458×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	10978
1	1376	9588
2	5402	9436

Stop Event

1×	node limit

Counts

188 → 332

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (+.f64 x x))

Compiler

Compiled 15 to 4 computations (73.3% saved)

series41.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(log.f64 (+.f64 x x))
10.0ms	x	@	-inf	(log.f64 (+.f64 x x))
7.0ms	x	@	inf	(log.f64 (+.f64 x x))

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`add-sqr-sqrt`
1130×	`*-un-lft-identity`
1072×	`pow1`
1056×	`add-cube-cbrt`
1046×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1605	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

864×	`associate-+r+`
790×	`distribute-lft-out`
782×	`associate-+l+`
776×	`associate-r`
756×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	502
1	125	390
2	521	390
3	2745	390
4	5929	390

Stop Event

1×	node limit

Counts

32 → 29

Calls

Call 1

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

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

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)

rewrite60.0ms (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 (fma.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 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(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 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.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)))))))

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

53 → 57

Calls

Call 1

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

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

localize8.0ms (0.1%)

Compiler: Compiled 20 to 5 computations (75% saved)

eval327.0ms (5.2%)

Compiler: Compiled 11523 to 8209 computations (28.8% saved)

prune91.0ms (1.4%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	470	3	473
Fresh	0	7	7
Picked	0	1	1
Done	1	5	6
Total	471	16	487

Error

0.0b

Counts

487 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	35.0b	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
✓	34.7b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	45.7b	(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
✓	25.6b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
	35.2b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (-.f64 (neg.f64 x) (/.f64 1/2 x)))))) x)
▶	26.9b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (+.f64 x (/.f64 1/2 x)))))) x)
▶	32.8b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 1 (+.f64 1 (.f64 1/2 (*.f64 x x))))))) x)
▶	30.3b	(copysign.f64 (log1p.f64 x) x)
▶	43.7b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	46.0b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	45.9b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	43.8b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	45.8b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	45.9b	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	33.6b	(copysign.f64 x x)

Compiler

Compiled 303 to 206 computations (32% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (+.f64 x (/.f64 1/2 x)))
✓	0.0b	(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (+.f64 x (/.f64 1/2 x)))))
✓	0.2b	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (+.f64 x (/.f64 1/2 x))))))
✓	15.0b	(/.f64 (*.f64 x x) (+.f64 1 (+.f64 x (/.f64 1/2 x))))

Compiler

Compiled 76 to 44 computations (42.1% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite95.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`associate-/r*`
1432×	`associate-/l*`
426×	`associate-+l+`
308×	`+-commutative`
308×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	128
1	296	128
2	4318	128

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

Outputs
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(#(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))) 1)))) (#(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))) 1)))))

simplify110.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-/r/`
1040×	`associate-+r+`
942×	`+-commutative`
448×	`associate-+l-`
410×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	9992
1	1202	9228
2	4912	9072

Stop Event

1×	node limit

Counts

206 → 319

Calls

Call 1

Inputs
(*.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (pow.f64 x 3)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 4 (pow.f64 x 5)) (*.f64 -4 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 -4 (pow.f64 x 4)) (.f64 -8 (pow.f64 x 7)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 7/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 7/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -25/4 (pow.f64 x 4)) 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 5/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 5/32 (/.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 5/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 5/32 (/.f64 1 (pow.f64 x 4))))
x
(+.f64 (*.f64 2 (pow.f64 x 3)) x)
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 -4 (pow.f64 x 4)) x))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (*.f64 -4 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
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x
(+.f64 1 x)
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x
(+.f64 1 x)
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 x (+.f64 x (+.f64 1 (/.f64 1/2 x))))))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))))) (/.f64 x (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))))) x)
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 2))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x (+.f64 1 (/.f64 1/2 x)))))) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x (/.f64 x (+.f64 x (+.f64 1 (/.f64 1/2 x))))))
(-.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 0)
(-.f64 (+.f64 x 1) (-.f64 1 (+.f64 1 (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (-.f64 1 (+.f64 x 1)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 x (/.f64 1/2 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (+.f64 x (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(-.f64 (/.f64 x (/.f64 (-.f64 x (/.f64 1/2 x)) x)) (-.f64 (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 x (/.f64 1/2 x))) 1))
(-.f64 (+.f64 2 (+.f64 x (/.f64 1/2 x))) 1)
(-.f64 (+.f64 1 (/.f64 x (/.f64 (-.f64 x (/.f64 1/2 x)) x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 x (/.f64 1/2 x))))
(-.f64 (+.f64 (+.f64 x 1) (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 x 1) 1) (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)
(*.f64 1 (+.f64 x (+.f64 1 (/.f64 1/2 x))))
(*.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(/.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 1)
(/.f64 (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))))))
(/.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (/.f64 1 (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))) (/.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 1) (+.f64 x (-.f64 (/.f64 1/2 x) 1)))
(/.f64 (-.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (/.f64 1/4 (.f64 x x))) (+.f64 x (-.f64 1 (/.f64 1/2 x))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x 1) 3)) (+.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 (/.f64 1/4 (.f64 x x)) (*.f64 (+.f64 x 1) (/.f64 1/2 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) 1) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (sqrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))) (cbrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))) (cbrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(pow.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 3))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 x (/.f64 1/2 x)))))
(exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) 1)
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 1)

Outputs
(*.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (pow.f64 x 3)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 2 (pow.f64 x 3) (*.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 4 (pow.f64 x 5)) (*.f64 -4 (pow.f64 x 4))))
(fma.f64 2 (pow.f64 x 3) (fma.f64 4 (pow.f64 x 5) (*.f64 -4 (pow.f64 x 4))))
(fma.f64 2 (pow.f64 x 3) (fma.f64 -4 (pow.f64 x 4) (*.f64 4 (pow.f64 x 5))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 -4 (pow.f64 x 4)) (.f64 -8 (pow.f64 x 7)))))
(fma.f64 2 (pow.f64 x 3) (fma.f64 4 (pow.f64 x 5) (fma.f64 -4 (pow.f64 x 4) (*.f64 -8 (pow.f64 x 7)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (/.f64 1/2 x)))
(+.f64 (+.f64 x -1) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (+.f64 x -1)) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 -1 (/.f64 1/4 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 3))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (/.f64 1/2 x)))
(+.f64 (+.f64 x -1) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (+.f64 x -1)) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 -1 (/.f64 1/4 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 3))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (.f64 7/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(fma.f64 7/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (pow.f64 x 3) 7/3 (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 (.f64 7/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -25/4 (pow.f64 x 4)) x)))
(fma.f64 7/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -25/4 (pow.f64 x 4) x)))
(fma.f64 (pow.f64 x 3) 7/3 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -25/4 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 (/.f64 1/4 x) x)))
(+.f64 (log.f64 2) (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 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 5/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 (/.f64 1/4 x) x))) (/.f64 5/32 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 x))) (/.f64 5/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 5/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 5/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/8 (pow.f64 x 5))))) (/.f64 5/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/8 (pow.f64 x 5)))) (/.f64 -5/32 (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 (/.f64 1/4 x) x)) (/.f64 1/8 (pow.f64 x 5))) (-.f64 (log.f64 x) (/.f64 5/32 (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)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 -2)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 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 5/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 -2))) (/.f64 5/32 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))) (/.f64 5/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -5/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 5/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 -2)))) (/.f64 5/32 (pow.f64 x 4)))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (log.f64 -2))) (log.f64 (/.f64 -1 x))) (/.f64 5/32 (pow.f64 x 4)))
(+.f64 (+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/8 (pow.f64 x 5))) (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 5/32 (pow.f64 x 4))))
x
(+.f64 (*.f64 2 (pow.f64 x 3)) x)
(fma.f64 2 (pow.f64 x 3) x)
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 -4 (pow.f64 x 4)) x))
(fma.f64 2 (pow.f64 x 3) (fma.f64 -4 (pow.f64 x 4) x))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (*.f64 -4 (pow.f64 x 4)) x)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 4 (pow.f64 x 5) (fma.f64 -4 (pow.f64 x 4) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/4 (pow.f64 x 3)))
(-.f64 (+.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 -1 (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 3))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/4 (pow.f64 x 3)))
(-.f64 (+.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 -1 (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 3))))
(/.f64 1/2 x)
(+.f64 1 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (/.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 x (+.f64 1 (/.f64 1/2 x))))))) 1)
(/.f64 (*.f64 x x) (+.f64 x (+.f64 1 (/.f64 1/2 x))))
(*.f64 x (/.f64 x (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(.f64 x (.f64 x (/.f64 1 (+.f64 x (+.f64 1 (/.f64 1/2 x))))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 x))) (neg.f64 x))
(*.f64 1 (+.f64 x (+.f64 1 (/.f64 1/2 x))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(*.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 1)
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 1 (-.f64 (/.f64 -1/2 x) x)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (/.f64 -1/2 x) x))))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(/.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 1)
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(/.f64 (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(/.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2)))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 1 (-.f64 (/.f64 -1/2 x) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (/.f64 1 (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 1 (-.f64 (/.f64 -1/2 x) x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3/2)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3/2)) (hypot.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3/2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (-.f64 1 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))) (+.f64 1 (-.f64 (/.f64 -1/2 x) x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))))
(.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (/.f64 -1/2 x) x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))) (/.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))))
(.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (/.f64 (+.f64 1 (-.f64 (/.f64 -1/2 x) x)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 x (+.f64 -1 (/.f64 1/2 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (+.f64 x -1) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (-.f64 (+.f64 x (+.f64 -1 (/.f64 1/2 x))) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 x (-.f64 (+.f64 -1 (/.f64 1/2 x)) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) 1) (+.f64 x (-.f64 (/.f64 1/2 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 x (+.f64 -1 (/.f64 1/2 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (+.f64 x -1) (/.f64 1/2 x)))
(/.f64 (-.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (/.f64 1/4 (.f64 x x))) (+.f64 x (-.f64 1 (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) (/.f64 (/.f64 1/4 x) x)) (-.f64 (+.f64 x 1) (/.f64 1/2 x)))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) (/.f64 -1/4 (*.f64 x x))) (+.f64 1 (-.f64 x (/.f64 1/2 x))))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) (/.f64 -1/4 (*.f64 x x))) (+.f64 x (+.f64 1 (/.f64 -1/2 x))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x 1) 3)) (+.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 (/.f64 1/4 (.f64 x x)) (*.f64 (+.f64 x 1) (/.f64 1/2 x)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (-.f64 (/.f64 (/.f64 1/4 x) x) (*.f64 (/.f64 1/2 x) (+.f64 x 1)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 x 1) 3)) (+.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) (/.f64 (/.f64 1/4 x) x)) (*.f64 (/.f64 1/2 x) (-.f64 -1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) 1) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 1 (-.f64 (/.f64 -1/2 x) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (sqrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 1 (-.f64 (/.f64 -1/2 x) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))) (cbrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))) (cbrt.f64 (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 1 (+.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 1 (-.f64 (/.f64 -1/2 x) x)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (/.f64 -1/2 x) x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (/.f64 -1/2 x) x))))
(pow.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 1)
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 2)
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))) 3)
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 3) 1/3)
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 2))
(fabs.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))))
(log.f64 (exp.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x))) 3))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))) 1))
(exp.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 1 (/.f64 1/2 x)))))
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) 1)
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 1)
(+.f64 x (+.f64 1 (/.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))) 1)
(+.f64 x (+.f64 1 (/.f64 1/2 x)))

localize8.0ms (0.1%)

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

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (+.f64 x (/.f64 1/2 x)))
✓	0.2b	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))

Compiler

Compiled 36 to 22 computations (38.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(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	@	-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)))

rewrite74.0ms (1.2%)

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

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(#(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)))))))

simplify88.0ms (1.4%)

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))

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 1 (+.f64 1 (.f64 1/2 (*.f64 x x)))))))
✓	0.0b	(+.f64 1 (+.f64 1 (.f64 1/2 (.f64 x x))))
✓	0.2b	(.f64 1/2 (.f64 x x))
✓	15.5b	(/.f64 (.f64 x x) (+.f64 1 (+.f64 1 (.f64 1/2 (*.f64 x x)))))

Compiler

Compiled 90 to 50 computations (44.4% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite94.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`associate-/r*`
1294×	`associate-/l*`
672×	`associate-/r/`
518×	`associate-+l+`
310×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	104
1	290	104
2	4125	104

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

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

Outputs
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simplify117.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

834×	`+-commutative`
586×	`associate-r`
486×	`associate-+l-`
482×	`associate--r+`
464×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	8867
1	1339	8275
2	5906	8273

Stop Event

1×	node limit

Counts

219 → 312

Calls

Call 1

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

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4)))
(fma.f64 -1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (fma.f64 1/32 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/32 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/128 (pow.f64 x 8)) (+.f64 (.f64 1/32 (pow.f64 x 6)) (.f64 -1/8 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/128 (pow.f64 x 8) (fma.f64 1/32 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (fma.f64 -1/128 (pow.f64 x 8) (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/32 (pow.f64 x 6)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 2 (/.f64 8 (*.f64 x x)))
(+.f64 2 (/.f64 -8 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 6)))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (-.f64 (/.f64 -8 (*.f64 x x)) (/.f64 128 (pow.f64 x 6)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 2 (/.f64 8 (*.f64 x x)))
(+.f64 2 (/.f64 -8 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 6)))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 4)) (-.f64 (/.f64 -8 (*.f64 x x)) (/.f64 128 (pow.f64 x 6)))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
2
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 2)
(fma.f64 1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 2)
(fma.f64 1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 2)
(fma.f64 1/2 (*.f64 x x) 2)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 2)
(fma.f64 1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 2)
(fma.f64 1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 2)
(fma.f64 1/2 (*.f64 x x) 2)
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 2)
(fma.f64 1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 2)
(fma.f64 1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 1/2 x) 2)
(fma.f64 1/2 (*.f64 x x) 2)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/32 (pow.f64 x 6) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 (pow.f64 x 6) -1/32 x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 3 x))
(+.f64 (log.f64 x) (/.f64 3 x))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 3 x)) (/.f64 9/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 3 x) (/.f64 -9/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 (pow.f64 x 3))) (/.f64 9/2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 3 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -9/2 (*.f64 x x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 3 (/.f64 1 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3 x) (log.f64 -1)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 3 x) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3 x) (log.f64 -1))) (/.f64 9/2 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 3 x) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 -9/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 3))))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (log.f64 -1))) (/.f64 9/2 (*.f64 x x))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3 x) (/.f64 -9/2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 3 x) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 9/2 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 (.f64 x (.f64 x 1/2)) 2) x)))) 1)
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (.f64 x (/.f64 1 (+.f64 (.f64 x (.f64 x 1/2)) 2))))
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 x (/.f64 x (+.f64 (.f64 x (*.f64 x 1/2)) 2)))
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 (.f64 x x) (/.f64 1 (+.f64 (.f64 x (.f64 x 1/2)) 2)))
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 1 (/.f64 x (/.f64 (+.f64 (.f64 x (*.f64 x 1/2)) 2) x)))
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 (/.f64 x (/.f64 (+.f64 (.f64 x (*.f64 x 1/2)) 2) x)) 1)
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 (/.f64 x (hypot.f64 1 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))))) (/.f64 x (hypot.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))))))
(pow.f64 (/.f64 x (hypot.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))))) 2)
(.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 (.f64 x (.f64 x 1/2)) 2) x))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 (.f64 x (*.f64 x 1/2)) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 1/2 x) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 1/2 (.f64 x x) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 (.f64 x (.f64 x 1/2)) 2) 2))) (cbrt.f64 (/.f64 x (/.f64 (+.f64 (.f64 x (*.f64 x 1/2)) 2) x))))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 1/2 x) 2) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 1/2 (.f64 x x) 2) 2))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 (+.f64 (.f64 x (*.f64 x 1/2)) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x))) (/.f64 1 (fma.f64 x (.f64 1/2 x) 2)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 x (.f64 x 1/2)) 2)) (.f64 x x))
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 (.f64 x (neg.f64 x)) (/.f64 -1 (+.f64 (.f64 x (.f64 x 1/2)) 2)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) -1) (fma.f64 x (*.f64 1/2 x) 2))
(.f64 x (neg.f64 (/.f64 (neg.f64 x) (fma.f64 1/2 (.f64 x x) 2))))
(.f64 (/.f64 1 (hypot.f64 1 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))))) (/.f64 (.f64 x x) (hypot.f64 1 (hypot.f64 1 (.f64 x (sqrt.f64 1/2))))))
(pow.f64 (/.f64 x (hypot.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))))) 2)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/2)) 2)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/2)) 2))))
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (+.f64 (.f64 x (*.f64 x 1/2)) 2)))
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 (/.f64 x (+.f64 (.f64 x (*.f64 x 1/2)) 2)) x)
(/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))
(/.f64 (.f64 x x) (fma.f64 1/2 (.f64 x x) 2))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (fma.f64 (.f64 x x) 1/2 1) 2))) (.f64 (.f64 x x) (-.f64 0 (.f64 x (.f64 x 1/2)))))
(/.f64 (.f64 1 (.f64 (.f64 x x) (neg.f64 (.f64 1/2 (.f64 x x))))) (-.f64 1 (pow.f64 (fma.f64 (.f64 x x) 1/2 1) 2)))
(/.f64 (.f64 (pow.f64 x 4) 1/2) (+.f64 -1 (pow.f64 (fma.f64 1/2 (.f64 x x) 1) 2)))
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(log1p.f64 (+.f64 x (/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))
(exp.f64 (.f64 (log.f64 (log1p.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 (.f64 x (*.f64 x 1/2)) 2) x))))) 1))
(log1p.f64 (+.f64 x (/.f64 (.f64 x x) (fma.f64 x (.f64 1/2 x) 2))))
(log1p.f64 (fma.f64 x (/.f64 x (fma.f64 1/2 (*.f64 x x) 2)) x))

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 1 x)
✓	1.6b	(-.f64 (hypot.f64 1 x) x)
✓	2.3b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (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	34
1	187	34
2	2344	34

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-/l*`
852×	`associate-/r*`
684×	`distribute-lft-in`
622×	`associate-+l+`
608×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	244	2619
1	661	2337
2	2609	2337

Stop Event

1×	node limit

Counts

91 → 153

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

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

eval446.0ms (7.1%)

Compiler: Compiled 26731 to 18044 computations (32.5% saved)

prune243.0ms (3.9%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	1069	4	1073
Fresh	2	3	5
Picked	1	0	1
Done	1	9	10
Total	1073	16	1089

Error

Counts

1089 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	35.0b	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
✓	34.7b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	43.7b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	25.6b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓	26.9b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (+.f64 x (/.f64 1/2 x)))))) x)
	29.9b	(copysign.f64 (log1p.f64 (+.f64 x (.f64 (/.f64 x (+.f64 (.f64 x (*.f64 x 1/2)) 2)) x))) x)
✓	30.3b	(copysign.f64 (log1p.f64 x) x)
	45.9b	(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)
	46.0b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	45.9b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	43.8b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	45.8b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	45.9b	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	33.6b	(copysign.f64 x x)

Compiler

Compiled 169 to 115 computations (32% saved)

regimes49.0ms (0.8%)

Counts

33 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (log1p.f64 (+.f64 x (.f64 (/.f64 x (+.f64 (.f64 x (*.f64 x 1/2)) 2)) x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (+.f64 x (/.f64 1/2 x)))))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (-.f64 (neg.f64 x) (/.f64 1/2 x)))))) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 1 (+.f64 1 (.f64 1/2 (*.f64 x x))))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (+.f64 (log.f64 2) (log.f64 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 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) 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 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
(copysign.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4) (fma.f64 1/720 (.f64 (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (pow.f64 x 6)) (fma.f64 1/2 (.f64 (/.f64 x (+.f64 1 (fabs.f64 x))) x) (log1p.f64 (fabs.f64 x))))) x)

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

Calls

2 calls:

27.0ms	x
12.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
0.5b	2	`x`
0.5b	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 393 to 244 computations (37.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0057287840810639e-8	0.0

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes153.0ms (2.4%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 206 to 122 computations (40.8% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.0027626785782797615	5.903032132840305
19.0ms	-1.5313353749904057	-1.0057287815181024e-8

Results

32.0ms

272×

body

256

valid

Compiler

Compiled 502 to 344 computations (31.5% saved)

regimes44.0ms (0.7%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

40.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 178 to 106 computations (40.4% saved)

bsearch80.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	0.0027626785782797615	5.903032132840305
19.0ms	-1.5313353749904057	-1.0057287815181024e-8

Results

75.0ms

272×

body

256

valid

Compiler

Compiled 529 to 371 computations (29.9% saved)

regimes31.0ms (0.5%)

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

(copysign.f64 (log.f64 (/.f64 1/2 x)) x)

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 170 to 101 computations (40.6% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.0027626785782797615	5.903032132840305
19.0ms	-1.5313353749904057	-1.0057287815181024e-8

Results

32.0ms

272×

body

256

valid

Compiler

Compiled 513 to 363 computations (29.2% saved)

regimes19.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 70 to 44 computations (37.1% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.0027626785782797615	5.903032132840305
21.0ms	-1.5313353749904057	-1.0057287815181024e-8

Results

33.0ms

272×

body

256

valid

Compiler

Compiled 394 to 295 computations (25.1% saved)

regimes19.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 58 to 35 computations (39.7% saved)

bsearch54.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.0027626785782797615	5.903032132840305
39.0ms	-1.5313353749904057	-1.0057287815181024e-8

Results

50.0ms

272×

body

256

valid

Compiler

Compiled 340 to 250 computations (26.5% saved)

regimes63.0ms (1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

62.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 39 to 23 computations (41% saved)

bsearch71.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	0.0027626785782797615	5.903032132840305
18.0ms	-1.5313353749904057	-1.0057287815181024e-8

Results

68.0ms

272×

body

256

valid

Compiler

Compiled 238 to 165 computations (30.7% saved)

regimes12.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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:

11.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 26 to 14 computations (46.2% saved)

bsearch43.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.0027626785782797615	5.903032132840305
28.0ms	-1.5313353749904057	-1.0057287815181024e-8

Results

40.0ms

272×

body

256

valid

Compiler

Compiled 238 to 157 computations (34% saved)

regimes7.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
17.3b	2	`x`

Compiler

Compiled 20 to 10 computations (50% saved)

bsearch28.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	0.0027626785782797615	5.903032132840305

Results

27.0ms

128×

body

256

valid

Compiler

Compiled 121 to 76 computations (37.2% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log.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
29.1b	2	`x`

Compiler

Compiled 14 to 7 computations (50% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.0027626785782797615	5.903032132840305

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 105 to 68 computations (35.2% saved)

regimes9.0ms (0.2%)

Accuracy

Total -33.1b remaining (-114%)

Threshold costs -33.1b (-114%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
29.1b	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.0027626785782797615	5.903032132840305

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 105 to 68 computations (35.2% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	840
1	119	840
2	129	840
3	134	840
4	136	840

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) -3022314549036573/302231454903657293676544) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) x))
(if (<=.f64 x -5072854620270127/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8762203435012037/2305843009213693952) (copysign.f64 (log1p.f64 (+.f64 x (.f64 (/.f64 x (+.f64 (.f64 x (*.f64 x 1/2)) 2)) x))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 8762203435012037/2305843009213693952) (copysign.f64 (log1p.f64 (+.f64 x (.f64 (/.f64 x (+.f64 (.f64 x (.f64 x 1/2)) 2)) x))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 2) (copysign.f64 (log1p.f64 (+.f64 x (.f64 (/.f64 x (+.f64 (.f64 x (.f64 x 1/2)) 2)) x))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (/.f64 1/2 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 1/2 x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/1125899906842624) (copysign.f64 x x) (copysign.f64 (log.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) -3022314549036573/302231454903657293676544) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -3022314549036573/302231454903657293676544) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -5072854620270127/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8762203435012037/2305843009213693952) (copysign.f64 (log1p.f64 (+.f64 x (.f64 (/.f64 x (+.f64 (.f64 x (*.f64 x 1/2)) 2)) x))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5072854620270127/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8762203435012037/2305843009213693952) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (+.f64 (.f64 x (*.f64 x 1/2)) 2))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 8762203435012037/2305843009213693952) (copysign.f64 (log1p.f64 (+.f64 x (.f64 (/.f64 x (+.f64 (.f64 x (.f64 x 1/2)) 2)) x))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 8762203435012037/2305843009213693952) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (+.f64 (.f64 x (.f64 x 1/2)) 2))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 2) (copysign.f64 (log1p.f64 (+.f64 x (.f64 (/.f64 x (+.f64 (.f64 x (.f64 x 1/2)) 2)) x))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 2) (copysign.f64 (log1p.f64 (+.f64 x (.f64 x (/.f64 x (+.f64 (.f64 x (.f64 x 1/2)) 2))))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (/.f64 1/2 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 1/2 x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/1125899906842624) (copysign.f64 x x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 321 to 216 computations (32.7% saved)

soundness492.0ms (7.8%)

Algorithm

9×	egg-herbie

Rules

1164×	`distribute-lft-in`
1164×	`distribute-lft-in`
1164×	`distribute-lft-in`
1164×	`distribute-lft-in`
1074×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27
0	273	2957
1	699	2655
2	2957	2619
0	244	2619
1	661	2337
2	2609	2337
0	12	33
1	18	27
2	19	27
0	273	2957
1	699	2655
2	2957	2619
0	545	9596
1	1614	9170
2	7292	9162
0	273	2957
1	699	2655
2	2957	2619
0	12	33
1	18	27
2	19	27
0	273	2957
1	699	2655
2	2957	2619

Stop Event

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

Compiler

Compiled 518 to 337 computations (34.9% saved)

end231.0ms (3.7%)

Compiler: Compiled 310 to 197 computations (36.5% saved)