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)

sample579.0ms (9.4%)

Results

569.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

82 → 148

Calls

Call 1

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

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

eval46.0ms (0.7%)

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

prune33.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	136	12	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	12	149

Error

0.0b

Counts

149 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	31.6b	(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x)
	44.5b	(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) x)
	54.9b	(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
	43.6b	(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
	57.2b	(copysign.f64 (+.f64 1 (log.f64 x)) x)
▶	27.4b	(copysign.f64 (log1p.f64 x) x)
▶	46.2b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
▶	48.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	45.6b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
	43.6b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	45.7b	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 270 to 186 computations (31.1% saved)

localize5.0ms (0.1%)

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

localize7.0ms (0.1%)

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

localize10.0ms (0.2%)

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 17 computations (50% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`add-sqr-sqrt`
1550×	`*-un-lft-identity`
1468×	`add-cube-cbrt`
1458×	`add-cbrt-cube`
204×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	202	18
2	3225	18

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

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

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

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

128×	`*-commutative`
76×	`+-commutative`
60×	`associate-/r*`
58×	`sqr-pow`
46×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	375	1306
1	1149	1306

Stop Event

1×

unsound

Counts

180 → 209

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

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 25 computations (30.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

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

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

130 → 219

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 -1 x (.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (-.f64 (.f64 (pow.f64 x 4) -1/8) x)))
(+.f64 1 (-.f64 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 4) -1/8)) x))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (fma.f64 x -2 (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5)))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
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(-.f64 (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))))
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(/.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))))
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(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.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)))
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(-.f64 (hypot.f64 1 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(-.f64 (hypot.f64 1 x) x)
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(-.f64 (hypot.f64 1 x) x)
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(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
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(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
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(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
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eval120.0ms (1.9%)

Compiler: Compiled 6138 to 4161 computations (32.2% saved)

prune77.0ms (1.3%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	421	7	428
Fresh	5	2	7
Picked	1	0	1
Done	0	4	4
Total	427	13	440

Error

0.0b

Counts

440 → 13

Alt Table

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Status	Error	Program
	54.9b	(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
▶	31.9b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	57.8b	(copysign.f64 (+.f64 (log.f64 2) 0) x)
	46.2b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	27.4b	(copysign.f64 (log1p.f64 x) x)
▶	45.7b	(copysign.f64 (log.f64 (/.f64 x 1/2)) x)
	48.7b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
✓	48.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	45.6b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
▶	43.6b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	46.3b	(copysign.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) x)
▶	30.8b	(copysign.f64 x x)

Compiler

Compiled 229 to 163 computations (28.8% saved)

localize3.0ms (0.1%)

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

localize9.0ms (0.2%)

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite68.0ms (1.1%)

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)))))))

simplify68.0ms (1.1%)

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)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (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))))))

simplify79.0ms (1.3%)

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))

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 41 computations (26.8% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
1.0ms	x	@	inf	(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
0.0ms	x	@	0	(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))

rewrite93.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`*-commutative`
696×	`unswap-sqr`
566×	`associate-*r/`
486×	`swap-sqr`
448×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	251	57
2	2886	57

Stop Event

1×	node limit

Counts

3 → 267

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)))) (#(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 (-.f64 0 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 0) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (log.f64 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 -1 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (+.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 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simplify161.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1168×	`associate-+r-`
1132×	`associate-+l-`
856×	`times-frac`
774×	`associate-r`
748×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	500	14599
1	1467	11739
2	6551	11739

Stop Event

1×	node limit

Counts

303 → 307

Calls

Call 1

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

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

eval264.0ms (4.3%)

Compiler: Compiled 13672 to 10529 computations (23% saved)

prune115.0ms (1.9%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	585	2	587
Fresh	1	3	4
Picked	1	0	1
Done	0	8	8
Total	587	13	600

Error

0.0b

Counts

600 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.9b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	57.8b	(copysign.f64 (+.f64 (log.f64 2) 0) x)
▶	46.2b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	27.4b	(copysign.f64 (log1p.f64 x) x)
✓	45.7b	(copysign.f64 (log.f64 (/.f64 x 1/2)) x)
▶	48.7b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
✓	48.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	45.6b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
✓	43.6b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	45.7b	(copysign.f64 (log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) x)
✓	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	46.8b	(copysign.f64 (cbrt.f64 (pow.f64 (neg.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)) 3)) x)
✓	30.8b	(copysign.f64 x x)

Compiler

Compiled 179 to 133 computations (25.7% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
✓	2.2b	(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
✓	3.7b	(-.f64 (hypot.f64 1 x) (+.f64 1 x))

Compiler

Compiled 47 to 35 computations (25.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite162.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`associate-*r/`
1110×	`distribute-lft-in`
982×	`associate-*l/`
960×	`*-commutative`
356×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	220	49
2	3010	49

Stop Event

1×	node limit

Counts

3 → 255

Calls

Call 1

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

Outputs

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

simplify135.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

854×	`+-commutative`
800×	`distribute-lft-in`
782×	`associate-+l+`
736×	`distribute-rgt-in`
670×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	722	17675
1	2156	17099

Stop Event

1×	node limit

Counts

291 → 508

Calls

Call 1

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

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

localize11.0ms (0.2%)

Compiler: Compiled 16 to 14 computations (12.5% saved)

localize24.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 221

Calls

Call 1

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

Outputs

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

simplify157.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

966×	`associate-+r+`
934×	`+-commutative`
924×	`associate-+l+`
806×	`fma-def`
670×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	541	13441
1	1473	12595
2	6842	12515

Stop Event

1×	node limit

Counts

245 → 363

Calls

Call 1

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

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

localize35.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (hypot.f64 1 x) x)
	2.2b	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize78.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
	0.9b	(-.f64 (hypot.f64 1 x) x)
	2.2b	(log.f64 (-.f64 (hypot.f64 1 x) x))
✓	2.2b	(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)

Compiler

Compiled 97 to 76 computations (21.6% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
2.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
1.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
1.0ms	x	@	-inf	(exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
0.0ms	x	@	inf	(exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))

rewrite88.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

Outputs

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

simplify149.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

167 → 278

Calls

Call 1

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

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x)))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (/.f64 (.f64 (+.f64 (.f64 1/24 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2))))) (.f64 1/32 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 2)))) (+.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (/.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) (/.f64 (pow.f64 x 4) (fma.f64 1/24 (-.f64 (/.f64 9/4 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 2))) (/.f64 1/32 (pow.f64 (+.f64 (+.f64 1 (neg.f64 (log.f64 x))) (log.f64 1/2)) 2)))))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (.f64 (/.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) (pow.f64 x 4)) (fma.f64 1/24 (+.f64 (/.f64 9/4 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x)))) (/.f64 -3/4 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2))) (/.f64 1/32 (pow.f64 (+.f64 1 (-.f64 (log.f64 1/2) (log.f64 x))) 2))))) (/.f64 -1/4 (.f64 x x)))
(+.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (.f64 (/.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) (pow.f64 x 4)) (fma.f64 1/24 (+.f64 (/.f64 9/4 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2)))) (/.f64 -3/4 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 2))) (/.f64 1/32 (pow.f64 (-.f64 1 (-.f64 (log.f64 x) (log.f64 1/2))) 2))))) (/.f64 -1/4 (.f64 x x)))
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(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 2 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 x (+.f64 x (hypot.f64 1 x)))))))
(+.f64 (-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x)))))) 1)
(+.f64 1 (-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 (+.f64 x x) (hypot.f64 1 x))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 1 (-.f64 (.f64 x x) (.f64 x x))))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) (+.f64 (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 2 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))))
(*.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(.f64 (.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) 1) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (E.f64) (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(fabs.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (exp.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))

eval1.1s (17.2%)

Compiler: Compiled 51524 to 40094 computations (22.2% saved)

prune730.0ms (11.9%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1669	4	1673
Fresh	0	0	0
Picked	1	0	1
Done	3	9	12
Total	1673	13	1686

Error

Counts

1686 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	61.0b	(copysign.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 -1 (-.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 x)))) x)
✓	31.9b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
✓	57.8b	(copysign.f64 (+.f64 (log.f64 2) 0) x)
	45.7b	(copysign.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) x)
✓	27.4b	(copysign.f64 (log1p.f64 x) x)
✓	45.7b	(copysign.f64 (log.f64 (/.f64 x 1/2)) x)
✓	48.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	46.2b	(copysign.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) x)
	48.7b	(copysign.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) x)
✓	45.6b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
✓	43.6b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	30.8b	(copysign.f64 x x)

Compiler

Compiled 121 to 86 computations (28.9% saved)

regimes104.0ms (1.7%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

2 calls:

81.0ms	x
15.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

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

Compiler

Compiled 296 to 201 computations (32.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes23.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 x 1/2)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (log.f64 2) 0) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.1b	3	`x`

Compiler

Compiled 94 to 60 computations (36.2% saved)

bsearch63.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	4.158251496662879e-12	0.07181254917932563
42.0ms	-23.434755981806425	-3.052211781824126e-10

Results

59.0ms

320×

body

256

valid

Compiler

Compiled 337 to 232 computations (31.2% saved)

regimes59.0ms (1%)

Counts

12 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 x 1/2)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (log.f64 2) 0) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)

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

Calls

1 calls:

55.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 86 to 55 computations (36% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.7888964426812277	358.2439761632146
22.0ms	-23.434755981806425	-3.052211781824126e-10

Results

34.0ms

288×

body

256

valid

Compiler

Compiled 431 to 310 computations (28.1% saved)

regimes21.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 x 1/2)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (log.f64 2) 0) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 64 to 39 computations (39.1% saved)

bsearch40.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.7888964426812277	358.2439761632146
23.0ms	-23.434755981806425	-3.052211781824126e-10

Results

36.0ms

288×

body

256

valid

Compiler

Compiled 391 to 280 computations (28.4% saved)

regimes34.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 x 1/2)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (log.f64 2) 0) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)

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

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 54 to 34 computations (37% saved)

bsearch58.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.7888964426812277	358.2439761632146
22.0ms	-23.434755981806425	-3.052211781824126e-10

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 359 to 256 computations (28.7% saved)

regimes17.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 x 1/2)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (log.f64 2) 0) 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:

15.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 45 to 28 computations (37.8% saved)

bsearch41.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.7888964426812277	358.2439761632146
21.0ms	-23.434755981806425	-3.052211781824126e-10

Results

33.0ms

288×

body

256

valid

Compiler

Compiled 251 to 166 computations (33.9% saved)

regimes45.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

44.0ms

Results

Error	Segments	Branch
10.6b	3	`x`

Compiler

Compiled 21 to 11 computations (47.6% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Steps

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

Results

34.0ms

288×

body

256

valid

Compiler

Compiled 241 to 156 computations (35.3% saved)

regimes42.0ms (0.7%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

41.0ms

Results

Error	Segments	Branch
22.8b	2	`x`

Compiler

Compiled 15 to 8 computations (46.7% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-23.434755981806425	-3.052211781824126e-10

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -5.5b remaining (-21%)

Threshold costs -5.5b (-21%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
26.3b	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.7888964426812277	358.2439761632146

Results

19.0ms

128×

body

256

valid

Compiler

Compiled 105 to 68 computations (35.2% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
8×	`sub-neg`
8×	`*-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	672
1	102	672
2	110	672
3	113	672
4	114	672

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 259 to 168 computations (35.1% saved)

soundness276.0ms (4.5%)

Algorithm

7×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982
0	722	17675
1	2156	17099
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982

Stop Event

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

Compiler

Compiled 572 to 370 computations (35.3% saved)

end114.0ms (1.9%)

Compiler: Compiled 250 to 141 computations (43.6% saved)

Details

analyze0.0ms (0%)

sample579.0ms (9.4%)

preprocess4.0ms (0.1%)

simplify13.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite59.0ms (1%)

simplify87.0ms (1.4%)

eval46.0ms (0.7%)

prune33.0ms (0.5%)

localize5.0ms (0.1%)

localize7.0ms (0.1%)

localize10.0ms (0.2%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite65.0ms (1.1%)

simplify33.0ms (0.5%)

localize17.0ms (0.3%)

series3.0ms (0%)

rewrite72.0ms (1.2%)

simplify73.0ms (1.2%)

eval120.0ms (1.9%)

prune77.0ms (1.3%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite68.0ms (1.1%)

simplify68.0ms (1.1%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite64.0ms (1%)

simplify79.0ms (1.3%)

localize28.0ms (0.5%)

series7.0ms (0.1%)

rewrite93.0ms (1.5%)

simplify161.0ms (2.6%)

eval264.0ms (4.3%)

prune115.0ms (1.9%)

localize19.0ms (0.3%)

series1.0ms (0%)

rewrite162.0ms (2.6%)

simplify135.0ms (2.2%)

localize11.0ms (0.2%)

localize24.0ms (0.4%)

series1.0ms (0%)

rewrite96.0ms (1.6%)

simplify157.0ms (2.6%)

localize35.0ms (0.6%)

localize78.0ms (1.3%)

series6.0ms (0.1%)

rewrite88.0ms (1.4%)

simplify149.0ms (2.4%)

eval1.1s (17.2%)

prune730.0ms (11.9%)

regimes104.0ms (1.7%)

bsearch0.0ms (0%)

regimes23.0ms (0.4%)

bsearch63.0ms (1%)

regimes59.0ms (1%)

bsearch38.0ms (0.6%)

regimes21.0ms (0.3%)

bsearch40.0ms (0.7%)

regimes34.0ms (0.6%)

bsearch58.0ms (0.9%)

regimes17.0ms (0.3%)

bsearch41.0ms (0.7%)

regimes45.0ms (0.7%)

bsearch37.0ms (0.6%)

regimes42.0ms (0.7%)

bsearch21.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch20.0ms (0.3%)

simplify16.0ms (0.3%)

soundness276.0ms (4.5%)

end114.0ms (1.9%)

Profiling