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)

sample703.0ms (1.1%)

Results

692.0ms

8256×

body

256

valid

Bogosity

preprocess3.7s (5.8%)

Algorithm

2×

egglog

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)

simplify1.7s (2.8%)

Algorithm

1×

egglog

Counts

1 → 2

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) (hypot.f64 1 x))) x)

eval1.0ms (0%)

Compiler: Compiled 22 to 14 computations (36.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	3.2b	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series18.0ms (0%)

Counts

2 → 22

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	@	0	(+.f64 (fabs.f64 x) (hypot.f64 1 x))

Compiler

Compiled 2310 to 1670 computations (27.7% saved)

rewrite2.1s (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

39×	`egg-rr`
14×	`egg-rr`

Counts

2 → 53

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 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) 2)) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (hypot.f64 1 x) 2/3)) (cbrt.f64 (.f64 (fabs.f64 x) (hypot.f64 1 x)))) (+.f64 (fabs.f64 (cbrt.f64 x)) (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2/3) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (.f64 (fabs.f64 x) (hypot.f64 1 x)))) (+.f64 (fabs.f64 (cbrt.f64 x)) (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) 2)) (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fabs.f64 x) (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fabs.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fabs.f64 x) 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) 1 (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 1 x)) (pow.f64 (hypot.f64 1 x) 2/3) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fabs.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 x) 2/3) (cbrt.f64 (hypot.f64 1 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (fabs.f64 x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fabs.f64 x) 0) (/.f64 (+.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fabs.f64 x) 0) (.f64 (+.f64 1 (/.f64 (hypot.f64 1 x) (fabs.f64 x))) (fabs.f64 x)) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2)) 0) (/.f64 (+.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (hypot.f64 1 x) 0) (/.f64 (+.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (fabs.f64 x) (hypot.f64 1 x)) 0) (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) (fabs.f64 x))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (hypot.f64 1 x) (fabs.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) (fabs.f64 x))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (hypot.f64 1 x) 0) (.f64 (hypot.f64 1 x) (+.f64 1 (/.f64 (fabs.f64 x) (hypot.f64 1 x)))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (hypot.f64 1 x)) 0) (/.f64 (-.f64 (pow.f64 (fabs.f64 x) 3) (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fabs.f64 x) 0) (/.f64 (-.f64 (pow.f64 (fabs.f64 x) 3) (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2)) 0) (/.f64 (-.f64 (pow.f64 (fabs.f64 x) 3) (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fabs.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 x) 0) (hypot.f64 1 x))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (hypot.f64 1 x) 2/3)) (cbrt.f64 (*.f64 (fabs.f64 x) (hypot.f64 1 x)))) (+.f64 (fabs.f64 (cbrt.f64 x)) (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2/3) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (*.f64 (fabs.f64 x) (hypot.f64 1 x)))) (+.f64 (fabs.f64 (cbrt.f64 x)) (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) 2)) (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fabs.f64 x) (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fabs.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fabs.f64 x) 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) 1 (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 1 x)) (pow.f64 (hypot.f64 1 x) 2/3) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fabs.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 x) 2/3) (cbrt.f64 (hypot.f64 1 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (fabs.f64 x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fabs.f64 x) 0) (/.f64 (+.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fabs.f64 x) 0) (*.f64 (+.f64 1 (/.f64 (hypot.f64 1 x) (fabs.f64 x))) (fabs.f64 x)) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2)) 0) (/.f64 (+.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (hypot.f64 1 x) 0) (/.f64 (+.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (fabs.f64 x) (hypot.f64 1 x)) 0) (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) (fabs.f64 x))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (hypot.f64 1 x) (fabs.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) (fabs.f64 x))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (hypot.f64 1 x) 0) (*.f64 (hypot.f64 1 x) (+.f64 1 (/.f64 (fabs.f64 x) (hypot.f64 1 x)))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (hypot.f64 1 x)) 0) (/.f64 (-.f64 (pow.f64 (fabs.f64 x) 3) (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fabs.f64 x) 0) (/.f64 (-.f64 (pow.f64 (fabs.f64 x) 3) (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2)) 0) (/.f64 (-.f64 (pow.f64 (fabs.f64 x) 3) (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fabs.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 x) 0) (hypot.f64 1 x))))))

simplify2.8s (4.4%)

Algorithm

1×

egglog

Counts

75 → 112

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 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 1 x) 2))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 x) 3) (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 1 x) 2))) (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x) 2) (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))))) (*.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 x) 2) (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (.f64 -3 (fabs.f64 x))) (pow.f64 (/.f64 -1 x) 3))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))))
(+.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 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) (+.f64 (fabs.f64 x) x)))
(*.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 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) 2)) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2))
(*.f64 1 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(/.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) 3)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3))
(*.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))
(.f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (hypot.f64 1 x) 2/3)) (cbrt.f64 (.f64 (fabs.f64 x) (hypot.f64 1 x)))) (+.f64 (fabs.f64 (cbrt.f64 x)) (cbrt.f64 (hypot.f64 1 x))))
(.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 2/3) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (.f64 (fabs.f64 x) (hypot.f64 1 x)))) (+.f64 (fabs.f64 (cbrt.f64 x)) (cbrt.f64 (hypot.f64 1 x))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) 2)) (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 2))))
(*.f64 1 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(*.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 1)
(-.f64 (fabs.f64 x) (neg.f64 (hypot.f64 1 x)))
(/.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (fabs.f64 x))
(fma.f64 1 (hypot.f64 1 x) (fabs.f64 x))
(fma.f64 1 (fabs.f64 x) (hypot.f64 1 x))
(fma.f64 (fabs.f64 x) 1 (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 (fabs.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (pow.f64 (hypot.f64 1 x) 2/3) (fabs.f64 x))
(fma.f64 (fabs.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (pow.f64 (hypot.f64 1 x) 2/3) (cbrt.f64 (hypot.f64 1 x)) (fabs.f64 x))
(pow.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 1)
(cbrt.f64 (pow.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)) 3))
(neg.f64 (-.f64 (neg.f64 (fabs.f64 x)) (hypot.f64 1 x)))
(if (!=.f64 (fabs.f64 x) 0) (/.f64 (+.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(if (!=.f64 (fabs.f64 x) 0) (*.f64 (+.f64 1 (/.f64 (hypot.f64 1 x) (fabs.f64 x))) (fabs.f64 x)) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(if (!=.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2)) 0) (/.f64 (+.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(if (!=.f64 (hypot.f64 1 x) 0) (/.f64 (+.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(if (!=.f64 (-.f64 (fabs.f64 x) (hypot.f64 1 x)) 0) (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) (fabs.f64 x))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(if (!=.f64 (-.f64 (hypot.f64 1 x) (fabs.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) (fabs.f64 x))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(if (!=.f64 (hypot.f64 1 x) 0) (*.f64 (hypot.f64 1 x) (+.f64 1 (/.f64 (fabs.f64 x) (hypot.f64 1 x)))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(if (!=.f64 (neg.f64 (hypot.f64 1 x)) 0) (/.f64 (-.f64 (pow.f64 (fabs.f64 x) 3) (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(if (!=.f64 (fabs.f64 x) 0) (/.f64 (-.f64 (pow.f64 (fabs.f64 x) 3) (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(if (!=.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2)) 0) (/.f64 (-.f64 (pow.f64 (fabs.f64 x) 3) (neg.f64 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) (fabs.f64 x)) (pow.f64 x 2))) (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (fabs.f64 x))
(+.f64 (-.f64 (fabs.f64 x) 0) (hypot.f64 1 x))

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

eval79.0ms (0.1%)

Compiler: Compiled 2575 to 1668 computations (35.2% saved)

prune39.0ms (0.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	101	11	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	12	113

Error

0.0b

Counts

113 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) x)
	29.0b	(copysign.f64 (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (fma.f64 1/2 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
	32.8b	(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3) x)
▶	20.6b	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	50.7b	(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/2 x))) x)
▶	50.7b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
	52.3b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) x)
	46.4b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 (fabs.f64 x) x))) x)
✓	32.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
▶	46.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
	59.1b	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	57.7b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 274 to 187 computations (31.8% saved)

localize14.0ms (0%)

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

localize10.0ms (0%)

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

localize16.0ms (0%)

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

localize17.0ms (0%)

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

localize45.0ms (0.1%)

Compiler: Compiled 40 to 18 computations (55% saved)

eval1.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune24.0ms (0%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	5	5
Total	12	12

Error

0.0b

Counts

12 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) x)
	29.0b	(copysign.f64 (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (fma.f64 1/2 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
▶	32.8b	(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3) x)
✓	20.6b	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	50.7b	(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/2 x))) x)
✓	50.7b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
▶	52.3b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) x)
▶	46.4b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 (fabs.f64 x) x))) x)
✓	32.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
✓	46.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
▶	59.1b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	57.7b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 235 to 162 computations (31.1% saved)

localize39.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))
✓	16.8b	(/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1))

Compiler

Compiled 52 to 22 computations (57.7% saved)

series45.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))
4.0ms	x	@	-inf	(fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))
4.0ms	x	@	inf	(fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))
2.0ms	x	@	0	(/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1))
1.0ms	x	@	-inf	(/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1))

Compiler

Compiled 1495 to 1055 computations (29.4% saved)

rewrite2.1s (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

75×	`egg-rr`
56×	`egg-rr`

Counts

2 → 131

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1))
(fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (-.f64 (fabs.f64 x) -1))) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (/.f64 x (cbrt.f64 (-.f64 (fabs.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (-.f64 (fabs.f64 x) -1)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 (fabs.f64 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 x (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fabs.f64 x)))) (/.f64 (pow.f64 x 2) (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 (fabs.f64 x) -1)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 2) (/.f64 -1 (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (-.f64 (fabs.f64 x) -1))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 -1 (fabs.f64 x))) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 -1 (fabs.f64 x))) (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 0 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (+.f64 3 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (-.f64 (fabs.f64 x) -1))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (cbrt.f64 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (cbrt.f64 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2))) (cbrt.f64 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fabs.f64 x)))) (pow.f64 x 2)) (cbrt.f64 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Outputs

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simplify3.2s (5.2%)

Algorithm

1×

egglog

Counts

155 → 195

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(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 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (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 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
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(fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 1/2 (log1p.f64 (fabs.f64 x)))
(fma.f64 (cbrt.f64 1/2) (/.f64 (*.f64 (cbrt.f64 1/4) (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))
(fma.f64 -1 (neg.f64 (log1p.f64 (fabs.f64 x))) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))))
(fma.f64 1 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))))
(fma.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 1 (log1p.f64 (fabs.f64 x)))
(fma.f64 (log1p.f64 (fabs.f64 x)) 1 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))))
(fma.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 -1 (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) 1/3)
(pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 3)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3))
(neg.f64 (-.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(neg.f64 (-.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x)))))
(neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 0))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))) 3))
(if (!=.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 0) (pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) -1) -1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 3)) (-.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2) (.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 0) (.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (+.f64 1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x)))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (-.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2) (.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 3)) (-.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2) (.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 3)) (-.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2) (.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x)))) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2)) (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (.f64 (log1p.f64 (fabs.f64 x)) (+.f64 1 (/.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2)) (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (+.f64 0 (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 0) (/.f64 (-.f64 0 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2)) (+.f64 0 (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 0) (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (.f64 0 (-.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (.f64 0 (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))))) 0) (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (.f64 0 (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (.f64 0 (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 3)) (-.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2) (.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(+.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))))
(+.f64 0 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))

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

localize15.0ms (0%)

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

localize23.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(log.f64 (-.f64 (fabs.f64 x) -1))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series68.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(log.f64 (-.f64 (fabs.f64 x) -1))
20.0ms	x	@	inf	(log.f64 (-.f64 (fabs.f64 x) -1))
15.0ms	x	@	-inf	(log.f64 (-.f64 (fabs.f64 x) -1))

Compiler

Compiled 310 to 195 computations (37.1% saved)

rewrite1.5s (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

30× egg-rr

Counts

1 → 30

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (cbrt.f64 (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) 2) (cbrt.f64 (log1p.f64 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log1p.f64 (fabs.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (-.f64 (fabs.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (.f64 3 (log1p.f64 (fabs.f64 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (pow.f64 (/.f64 1 (log1p.f64 (fabs.f64 x))) -1) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) -3)) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) -1/3)) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x)))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (+.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x)))))) 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (*.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (fabs.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (cbrt.f64 (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) 2) (cbrt.f64 (log1p.f64 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (-.f64 (fabs.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 3 (log1p.f64 (fabs.f64 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (pow.f64 (/.f64 1 (log1p.f64 (fabs.f64 x))) -1) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) -3)) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) -1/3)) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x)))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (+.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (*.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (*.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x)))))) 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (*.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (*.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (fabs.f64 x)))))))

simplify2.0s (3.2%)

Algorithm

1×

egglog

Counts

42 → 36

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (cbrt.f64 (log1p.f64 (fabs.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) 2) (cbrt.f64 (log1p.f64 (fabs.f64 x)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) 2))
(*.f64 -1 (neg.f64 (log1p.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) -1)
(*.f64 1 (log1p.f64 (fabs.f64 x)))
(*.f64 (log1p.f64 (fabs.f64 x)) 1)
(-.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))
(log.f64 (-.f64 (fabs.f64 x) -1))
(/.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) -1)
(/.f64 (-.f64 0 (*.f64 3 (log1p.f64 (fabs.f64 x)))) -3)
(/.f64 (log1p.f64 (fabs.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) 1/3)
(pow.f64 (log1p.f64 (fabs.f64 x)) 1)
(cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3))
(neg.f64 (neg.f64 (log1p.f64 (fabs.f64 x))))
(neg.f64 (-.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0))
(if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (pow.f64 (/.f64 1 (log1p.f64 (fabs.f64 x))) -1) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) -3)) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) -1/3)) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (+.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x)))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (+.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (*.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x)))))) 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (*.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))
(+.f64 0 (log1p.f64 (fabs.f64 x)))

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 (fabs.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))
(log1p.f64 (fabs.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (cbrt.f64 (log1p.f64 (fabs.f64 x))))
(log1p.f64 (fabs.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))))
(log1p.f64 (fabs.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) 2) (cbrt.f64 (log1p.f64 (fabs.f64 x)))))
(log1p.f64 (fabs.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2))
(log1p.f64 (fabs.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x)))) 2) 2))
(log1p.f64 (fabs.f64 x))
(*.f64 -1 (neg.f64 (log1p.f64 (fabs.f64 x))))
(log1p.f64 (fabs.f64 x))
(*.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) -1)
(log1p.f64 (fabs.f64 x))
(*.f64 1 (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(*.f64 (log1p.f64 (fabs.f64 x)) 1)
(log1p.f64 (fabs.f64 x))
(-.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))
(log1p.f64 (fabs.f64 x))
(log.f64 (-.f64 (fabs.f64 x) -1))
(log1p.f64 (fabs.f64 x))
(/.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) -1)
(log1p.f64 (fabs.f64 x))
(/.f64 (-.f64 0 (*.f64 3 (log1p.f64 (fabs.f64 x)))) -3)
(log1p.f64 (fabs.f64 x))
(/.f64 (log1p.f64 (fabs.f64 x)) 1)
(log1p.f64 (fabs.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) 3)
(log1p.f64 (fabs.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) 1/3)
(log1p.f64 (fabs.f64 x))
(pow.f64 (log1p.f64 (fabs.f64 x)) 1)
(log1p.f64 (fabs.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3))
(log1p.f64 (fabs.f64 x))
(neg.f64 (neg.f64 (log1p.f64 (fabs.f64 x))))
(log1p.f64 (fabs.f64 x))
(neg.f64 (-.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0))
(log1p.f64 (fabs.f64 x))
(if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (pow.f64 (/.f64 1 (log1p.f64 (fabs.f64 x))) -1) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (/.f64 1 (/.f64 1 (log1p.f64 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) -3)) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) 0) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) -3) -1) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) -1/3)) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (+.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x)))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (+.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0) (log1p.f64 (fabs.f64 x)) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (*.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0) (log1p.f64 (fabs.f64 x)) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x)))))) 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 0) (log1p.f64 (fabs.f64 x)) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (*.f64 0 (neg.f64 (log1p.f64 (fabs.f64 x))))))) (log1p.f64 (fabs.f64 x)))
(if (!=.f64 0 0) (log1p.f64 (fabs.f64 x)) (log1p.f64 (fabs.f64 x)))
(+.f64 0 (log1p.f64 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))

localize30.0ms (0%)

Compiler: Compiled 40 to 18 computations (55% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	0.3b	(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
✓	1.0b	(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3)
	3.2b	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 56 to 37 computations (33.9% saved)

series267.0ms (0.4%)

Counts

2 → 14

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3)
10.0ms	x	@	0	(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3)
9.0ms	x	@	inf	(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3)
2.0ms	x	@	0	(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
2.0ms	x	@	-inf	(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)

Compiler

Compiled 20830 to 16540 computations (20.6% saved)

rewrite1.7s (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

13×	`egg-rr`
12×	`egg-rr`

Counts

2 → 25

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) (.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3))))))

Outputs

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

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

simplify2.3s (3.6%)

Algorithm

1×

egglog

Counts

39 → 55

Calls

Call 1

Inputs
(pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3)
(+.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (.f64 1/3 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x)))))) (pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2))))
(+.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 -1/12 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (log.f64 (+.f64 1 (fabs.f64 x)))))) (log.f64 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 -1/24 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))))) 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2) 2)))) (pow.f64 x 4)) (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x)))))) (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2)))))
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(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(/.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) 3)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3)
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3))
(*.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2))
(.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2))
(.f64 (.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) (.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))
(.f64 (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))
(*.f64 1 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3))
(*.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1)
(/.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1)
(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3))

Outputs
(pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3)
(log1p.f64 (fabs.f64 x))
(+.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (.f64 1/3 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x)))))) (pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1))) (*.f64 3 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))))
(+.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 -1/12 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (log.f64 (+.f64 1 (fabs.f64 x)))))) (log.f64 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 -1/24 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))))) 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2) 2)))) (pow.f64 x 4)) (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x)))))) (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) (-.f64 (fma.f64 (fma.f64 -1/12 (.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (/.f64 1/4 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) (.f64 (.f64 -1/24 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))))) (/.f64 (.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)) 2)) (.f64 3 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2))))) (.f64 (pow.f64 x 2) (/.f64 (*.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 3))
(+.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 -1/12 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (log.f64 (+.f64 1 (fabs.f64 x)))))) (log.f64 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 -1/24 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))))) 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2) 2)))) (pow.f64 x 4)) (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x)))))) (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 x 6) (-.f64 (+.f64 (.f64 -1/24 (/.f64 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (log.f64 (+.f64 1 (fabs.f64 x)))) (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 1/720 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.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))))))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 -1/12 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (log.f64 (+.f64 1 (fabs.f64 x)))))) (+.f64 1 (fabs.f64 x)))) (.f64 (+.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)))) (+.f64 1 (fabs.f64 x)))) (.f64 1/360 (.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))))) (log.f64 (+.f64 1 (fabs.f64 x)))))) (log.f64 (+.f64 1 (fabs.f64 x))))))) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (log.f64 (+.f64 1 (fabs.f64 x))))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (log.f64 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 -1/24 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) (pow.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))))) 2)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2) 2)))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))))))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2) 2))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))))) 3) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2) 3)))))) (pow.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 1/3 (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) (-.f64 (fma.f64 (fma.f64 -1/12 (.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (/.f64 1/4 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) (.f64 (.f64 -1/24 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))))) (/.f64 (.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)) 2)) (.f64 3 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2))))) (.f64 (pow.f64 x 2) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (/.f64 (.f64 (pow.f64 x 6) (-.f64 (+.f64 (/.f64 (+.f64 (.f64 1/2 (fma.f64 -1/12 (.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (/.f64 1/4 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (.f64 -1/24 (.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))))) (-.f64 (fabs.f64 x) -1)) (fma.f64 1/720 (.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (+.f64 (/.f64 45 (-.f64 (fabs.f64 x) -1)) (+.f64 (/.f64 30 (pow.f64 (-.f64 (fabs.f64 x) -1) 3)) (/.f64 45 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))) (.f64 (log1p.f64 (fabs.f64 x)) (fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (-.f64 (fabs.f64 x) -1)) (.f64 (.f64 1/360 (+.f64 (/.f64 45 (-.f64 (fabs.f64 x) -1)) (+.f64 (/.f64 30 (pow.f64 (-.f64 (fabs.f64 x) -1) 3)) (/.f64 45 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))) (log1p.f64 (fabs.f64 x))))))) (fma.f64 2/3 (/.f64 (.f64 (log1p.f64 (fabs.f64 x)) (.f64 (-.f64 (fma.f64 (fma.f64 -1/12 (.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (/.f64 1/4 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) (.f64 (.f64 -1/24 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))))) (/.f64 (.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)) 2)) (.f64 3 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2)))) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2)) (.f64 1/27 (pow.f64 (/.f64 (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)) (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 3))))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))))
(*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x))))
(pow.f64 (log1p.f64 (fabs.f64 x)) 3)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x)))))) (*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (log.f64 (+.f64 1 (fabs.f64 x)))))
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(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(*.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2))
(.f64 (.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2)) (.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(.f64 (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))))
(.f64 (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))) (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))) 2))
(*.f64 1 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(/.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)

eval434.0ms (0.7%)

Compiler: Compiled 14218 to 9189 computations (35.4% saved)

prune163.0ms (0.3%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	393	5	398
Fresh	0	1	1
Picked	0	1	1
Done	1	9	10
Total	394	16	410

Error

0.0b

Counts

410 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(copysign.f64 (if (!=.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) 0) (.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) (-.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2))) -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
▶	29.0b	(copysign.f64 (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (fma.f64 1/2 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
▶	33.2b	(copysign.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3) 1/3) x)
✓	32.8b	(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3) x)
▶	29.4b	(copysign.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 3) x)
▶	28.5b	(copysign.f64 (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2))) x)
	53.7b	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) (-.f64 (fma.f64 (fma.f64 -1/12 (.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (/.f64 1/4 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) (.f64 (.f64 -1/24 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))))) (/.f64 (.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)) 2)) (.f64 3 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2))))) (.f64 (pow.f64 x 2) (/.f64 (*.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 3)) x)
✓	20.6b	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	50.7b	(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/2 x))) x)
✓	50.7b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	52.3b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) x)
✓	46.4b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 (fabs.f64 x) x))) x)
✓	32.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
✓	46.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	59.1b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	57.7b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 649 to 429 computations (33.9% saved)

localize43.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2)))
✓	16.8b	(/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2))

Compiler

Compiled 62 to 30 computations (51.6% saved)

series24.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2))
1.0ms	x	@	inf	(/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2))
1.0ms	x	@	0	(/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2)))
0.0ms	x	@	0	(-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2)))

Compiler

Compiled 1615 to 1175 computations (27.2% saved)

rewrite1.6s (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

102×	`egg-rr`
63×	`egg-rr`

Counts

2 → 165

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (fma.f64 (fabs.f64 x) -2 -2))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (fabs.f64 x) -2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) -1/2) (/.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 (fabs.f64 x) -2 -2) 2))) (/.f64 x (cbrt.f64 (fma.f64 (fabs.f64 x) -2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (fma.f64 (fabs.f64 x) -2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (-.f64 -1 (fabs.f64 x)))) (/.f64 (pow.f64 x 2) (cbrt.f64 (pow.f64 (fma.f64 (fabs.f64 x) -2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 x) (/.f64 x (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (pow.f64 (fma.f64 (fabs.f64 x) -2 -2) 2))) (cbrt.f64 (/.f64 1/2 (-.f64 -1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (fma.f64 (fabs.f64 x) -2 -2)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (fabs.f64 x) -1)) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (fma.f64 (fabs.f64 x) -2 -2))) (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 (fabs.f64 x) -2 -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (fabs.f64 x) -1)) (*.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (pow.f64 x 2)) (/.f64 1 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -1/2 -1/2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2)) (*.f64 0 (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))))) (cbrt.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2)) (+.f64 0 (*.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) 0))) (-.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 0 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2)) 0)) (+.f64 0 (cbrt.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (/.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 -1/2)) (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 -1 (fabs.f64 x))) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 -1/2)) (-.f64 (fabs.f64 x) -1)) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 2 (*.f64 -2 (fabs.f64 x)))) (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 0 (-.f64 2 (*.f64 -2 (fabs.f64 x)))) 0) (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 2 (*.f64 -2 (fabs.f64 x)))) (+.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (/.f64 0 (-.f64 2 (*.f64 -2 (fabs.f64 x))))) (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 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simplify4.8s (7.6%)

Algorithm

1×

egglog

Counts

189 → 212

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(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 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (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 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(*.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (fma.f64 (fabs.f64 x) -2 -2))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (fabs.f64 x) -2 -2) 2))))
(*.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) -1/2) (/.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)))
(*.f64 (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) x)
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 (fabs.f64 x) -2 -2) 2))) (/.f64 x (cbrt.f64 (fma.f64 (fabs.f64 x) -2 -2))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (.f64 -2 (fabs.f64 x))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2))))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (fma.f64 (fabs.f64 x) -2 -2)))
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(-.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x)))))
(-.f64 1 (-.f64 1 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))))
(-.f64 3 (+.f64 3 (-.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x)))))
(-.f64 3 (-.f64 3 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))))
(-.f64 (/.f64 0 (fma.f64 (fabs.f64 x) -2 -2)) (-.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))))
(-.f64 0 (-.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 1)
(/.f64 (-.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))) -1)
(fma.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (cbrt.f64 (log1p.f64 (fabs.f64 x))) (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2)) (log1p.f64 (fabs.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1/2 (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) -1/2 (log1p.f64 (fabs.f64 x)))
(fma.f64 -1 (neg.f64 (log1p.f64 (fabs.f64 x))) (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x)))
(fma.f64 0 0 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(fma.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 1/2 (log1p.f64 (fabs.f64 x)))
(fma.f64 1 0 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(fma.f64 1 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))
(fma.f64 1 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (log1p.f64 (fabs.f64 x)) 1 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) 1/3)
(pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 3)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))) 3))
(neg.f64 (-.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 0) (pow.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) -1) -1) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (fma.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2)) (fma.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x)))) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (.f64 (log1p.f64 (fabs.f64 x)) (-.f64 1 (/.f64 (pow.f64 x 2) (.f64 (log1p.f64 (fabs.f64 x)) (fma.f64 (fabs.f64 x) -2 -2))))) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 3)) (fma.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (fma.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (-.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))) 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2)) (-.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x)))) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (.f64 -2 (fabs.f64 x)))) 0) (.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (.f64 -2 (fabs.f64 x)))) (+.f64 1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (-.f64 2 (.f64 -2 (fabs.f64 x))))))) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) 0) (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2)) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 3)) (fma.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (fma.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2)) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (neg.f64 (fma.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x)))) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2)) (fma.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x)))) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (-.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))) 0) (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (pow.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2)) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (fma.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (fma.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 3)) (fma.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (fma.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 3)) (fma.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (fma.f64 x (/.f64 x (fma.f64 (fabs.f64 x) -2 -2)) (log1p.f64 (fabs.f64 x))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))))
(+.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 2 (*.f64 -2 (fabs.f64 x)))) 0) (log1p.f64 (fabs.f64 x)))
(+.f64 (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 0 (-.f64 2 (.f64 -2 (fabs.f64 x))))) (/.f64 (pow.f64 x 2) (-.f64 2 (.f64 -2 (fabs.f64 x)))))
(+.f64 0 (fma.f64 (pow.f64 x 2) (/.f64 1/2 (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))

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

localize113.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	13.6b	(.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) (-.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2))) -1))
✓	13.7b	(/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)))
	16.8b	(/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1))
✓	16.8b	(/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2))

Compiler

Compiled 236 to 119 computations (49.6% saved)

series43.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)))
1.0ms	x	@	-inf	(/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)))
1.0ms	x	@	0	(.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) (-.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2))) -1))
1.0ms	x	@	-inf	(/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2))
1.0ms	x	@	inf	(/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)))

Compiler

Compiled 2655 to 1915 computations (27.9% saved)

rewrite2.5s (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

101×	`egg-rr`
57×	`egg-rr`
52×	`egg-rr`

Counts

3 → 210

Calls

Call 1

Inputs

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

(/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)))

(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) (-.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2))) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (-.f64 2 (*.f64 (fabs.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (/.f64 -1/2 (-.f64 -1 (fabs.f64 x))))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 (fabs.f64 x) -2 -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 -1 (fabs.f64 x))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 (/.f64 -1/2 (-.f64 -1 (fabs.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (fabs.f64 x) -2 -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 (/.f64 -1/2 (-.f64 -1 (fabs.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (fabs.f64 x) -2 -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) (-.f64 2 (*.f64 (fabs.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) (fma.f64 (fabs.f64 x) -2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 (/.f64 -1/2 (-.f64 -1 (fabs.f64 x)))))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (fabs.f64 x) -2 -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 (fabs.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) 1)))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x)))) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (log1p.f64 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simplify4.5s (7.2%)

Algorithm

1×

egglog

Counts

246 → 290

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(.f64 2 (.f64 (pow.f64 x -2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 x -2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 x -2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 x -2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 (/.f64 1 x) 2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 (/.f64 1 x) 2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 (/.f64 1 x) 2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 (/.f64 1 x) 2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(.f64 2 (.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(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 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
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(if (!=.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) 3) (pow.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) 3)) (+.f64 (.f64 (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))) (-.f64 (pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) 2) (.f64 (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))))) (.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))
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(if (!=.f64 (fma.f64 x x (-.f64 1 (fabs.f64 x))) 0) (.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))) (/.f64 (-.f64 -1 (pow.f64 (fabs.f64 x) 3)) -1/2)) (fma.f64 x x (-.f64 1 (fabs.f64 x)))) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))
(if (!=.f64 (.f64 (fma.f64 x x (-.f64 1 (fabs.f64 x))) -1/2) 0) (.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))) (-.f64 -1 (pow.f64 (fabs.f64 x) 3))) (.f64 (fma.f64 x x (-.f64 1 (fabs.f64 x))) -1/2)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))
(if (!=.f64 (+.f64 4 (.f64 (.f64 (fabs.f64 x) -2) (/.f64 (-.f64 (fabs.f64 x) 1) -1/2))) 0) (.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))) (-.f64 8 (pow.f64 (.f64 (fabs.f64 x) -2) 3))) (+.f64 4 (.f64 (.f64 (fabs.f64 x) -2) (/.f64 (-.f64 (fabs.f64 x) 1) -1/2)))) (.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))
(if (!=.f64 1/4 0) (.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) (.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))
(if (!=.f64 (.f64 -1/2 (fma.f64 x x (-.f64 1 (fabs.f64 x)))) 0) (.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))) (-.f64 -1 (pow.f64 (fabs.f64 x) 3))) (.f64 -1/2 (fma.f64 x x (-.f64 1 (fabs.f64 x))))) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))
(if (!=.f64 (cbrt.f64 1/4) 0) (.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))) (/.f64 (-.f64 -1 (fabs.f64 x)) (cbrt.f64 -1/2))) (cbrt.f64 1/4)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))
(if (!=.f64 (cbrt.f64 1/4) 0) (.f64 (/.f64 (/.f64 (.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (cbrt.f64 -2)) (cbrt.f64 1/4)) (*.f64 (+.f64 -1 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)))) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))))
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(+.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(+.f64 (.f64 (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) 1) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(+.f64 (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))) 1) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))))
(+.f64 (.f64 1 (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(+.f64 (.f64 1 (.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))))) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))))

Outputs
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(/.f64 (pow.f64 x 2) (*.f64 2 (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(/.f64 (pow.f64 x 2) (*.f64 2 (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(/.f64 (pow.f64 x 2) (*.f64 2 (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(/.f64 (pow.f64 x 2) (*.f64 2 (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (pow.f64 x -1) -2)) (+.f64 1 (fabs.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (pow.f64 x -1) -2)) (+.f64 1 (fabs.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (pow.f64 x -1) -2)) (+.f64 1 (fabs.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (pow.f64 x -1) -2)) (+.f64 1 (fabs.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) (+.f64 1 (fabs.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) (+.f64 1 (fabs.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) (+.f64 1 (fabs.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) (+.f64 1 (fabs.f64 x)))
(.f64 2 (.f64 (pow.f64 x -2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(/.f64 (.f64 (.f64 (pow.f64 x -2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) 1/2)
(.f64 2 (.f64 (pow.f64 x -2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(/.f64 (.f64 (.f64 (pow.f64 x -2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) 1/2)
(.f64 2 (.f64 (pow.f64 x -2) (*.f64 (+.f64 1 (fabs.f64 x)) (log.f64 (+.f64 1 (fabs.f64 x))))))
(/.f64 (.f64 (.f64 (pow.f64 x -2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) 1/2)
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(*.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (+.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) -1))
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(*.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (+.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) -1))
(+.f64 (.f64 (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) 1) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(*.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (+.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) -1))
(+.f64 (.f64 (.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))) 1) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(*.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (+.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) -1))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))))
(*.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (+.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) -1))
(+.f64 (.f64 1 (.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(*.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (+.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) -1))
(+.f64 (.f64 1 (.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x)))))) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(*.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (+.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) -1))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (.f64 (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))) (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))))
(*.f64 (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2)) (+.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (pow.f64 x 2) (fma.f64 (fabs.f64 x) -2 -2))) -1))

localize87.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
✓	1.0b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3) 1/3)
✓	2.1b	(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3)
	3.2b	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 88 to 63 computations (28.4% saved)

series1.4s (2.2%)

Counts

3 → 18

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3) 1/3)
23.0ms	x	@	0	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3) 1/3)
21.0ms	x	@	0	(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3)
15.0ms	x	@	-inf	(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3)
13.0ms	x	@	inf	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3) 1/3)

Compiler

Compiled 141975 to 113365 computations (20.2% saved)

rewrite1.6s (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

13×	`egg-rr`
13×	`egg-rr`
12×	`egg-rr`

Counts

3 → 38

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3)

(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3) 1/3)

(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)

Outputs

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

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

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

simplify3.4s (5.4%)

Algorithm

1×

egglog

Counts

56 → 75

Calls

Call 1

Inputs
(pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3)
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(.f64 (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)) 2) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))
(/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 3) 1/3)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 3))

Outputs
(pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2) 2) (log1p.f64 (fabs.f64 x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (.f64 (+.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))))) (log.f64 (+.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x)))))))) (log.f64 (+.f64 1 (fabs.f64 x))))) (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) (+.f64 1 (fabs.f64 x)))))))) (pow.f64 x 2)) (pow.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2) 2) (log.f64 (+.f64 1 (fabs.f64 x)))) 1/3))
(fma.f64 1/3 (/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 (.f64 2 (.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) (log1p.f64 (fabs.f64 x))) (.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 3) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1))))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2) 2) (log1p.f64 (fabs.f64 x)))) 2)) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2) 2) (log1p.f64 (fabs.f64 x)))))
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(+.f64 (/.f64 (+.f64 (.f64 1/3 (.f64 (.f64 x x) (fma.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 (.f64 2 (.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) (log1p.f64 (fabs.f64 x))) (.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 3) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))))) (.f64 1/3 (.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 (fma.f64 2 (.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 (fma.f64 (fma.f64 -1/12 (.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (log1p.f64 (fabs.f64 x))) (/.f64 1/4 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) (.f64 -1/24 (.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))))) (log1p.f64 (fabs.f64 x)))) (pow.f64 (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)) 2)) (log1p.f64 (fabs.f64 x))) (fma.f64 (.f64 2 (.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)) (.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 3) (fma.f64 (fma.f64 -1/12 (.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (log1p.f64 (fabs.f64 x))) (/.f64 1/4 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) (.f64 -1/24 (.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))))))))) (/.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 (.f64 2 (.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 3) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) (log1p.f64 (fabs.f64 x))) (.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 3) (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) 2) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2) 2) (log1p.f64 (fabs.f64 x))))) (.f64 3 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2) 2) (log1p.f64 (fabs.f64 x)))) 2) 2)))) (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2) 2) (log1p.f64 (fabs.f64 x)))) 2)) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2) 2) (log1p.f64 (fabs.f64 x)))))
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(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 2)) (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(*.f64 1 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3))
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 2) (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 2)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(.f64 (pow.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3)) 2) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 3))
(pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3)

localize68.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))
✓	0.6b	(cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 3)
✓	16.8b	(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))

Compiler

Compiled 87 to 52 computations (40.2% saved)

series191.0ms (0.3%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 3)
2.0ms	x	@	-inf	(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
1.0ms	x	@	inf	(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))

Compiler

Compiled 8390 to 6270 computations (25.3% saved)

rewrite2.0s (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

77×	`egg-rr`
61×	`egg-rr`
61×	`egg-rr`
29×	`egg-rr`

Counts

4 → 228

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 3)
(cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 x (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (-.f64 (fabs.f64 x) -1))) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 (fabs.f64 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (/.f64 x (cbrt.f64 (-.f64 (fabs.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (-.f64 (fabs.f64 x) -1)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> 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(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (-.f64 (fabs.f64 x) -1))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 -1 (fabs.f64 x))) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 -1 (fabs.f64 x))) (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 0 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (+.f64 3 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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-1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x (cbrt.f64 (-.f64 (fabs.f64 x) -1))) x) (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2))) (cbrt.f64 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 x (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (cbrt.f64 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (cbrt.f64 (-.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)) (cbrt.f64 (pow.f64 x 2))) 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(#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2)) (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (-.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) 2) (log1p.f64 (fabs.f64 x)))) 0) (/.f64 (-.f64 0 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2)) (+.f64 0 (-.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) 2) (log1p.f64 (fabs.f64 x))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 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x))) 2) (log1p.f64 (fabs.f64 x))))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (.f64 0 (-.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) 2) (log1p.f64 (fabs.f64 x))))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 3)) (-.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2) (.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 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simplify5.9s (9.4%)

Algorithm

1×

egglog

Counts

260 → 256

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/18 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (.f64 -1/18 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (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)))) (*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/3 (+.f64 (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 3) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (+.f64 1 (fabs.f64 x)))))))) (+.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (+.f64 (.f64 -1/108 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (+.f64 1 (fabs.f64 x)))))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (+.f64 (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 3) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (+.f64 1 (fabs.f64 x)))))))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))) (.f64 -1/108 (/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (+.f64 1 (fabs.f64 x)))))))) (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (+.f64 1 (fabs.f64 x)))))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 1/18 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (.f64 -1/18 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (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)))) (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2)))))
(pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3)
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (+.f64 1 (fabs.f64 x))))) (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3))
(+.f64 (.f64 -1/36 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 x 4)) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (+.f64 1 (fabs.f64 x))))) (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3)))
(+.f64 (.f64 -1/36 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 x 4)) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (+.f64 1 (fabs.f64 x))))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 3) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (+.f64 1 (fabs.f64 x))))))) (pow.f64 x 6)) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))))
(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 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (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 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(*.f64 x (/.f64 x (-.f64 (fabs.f64 x) -1)))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 (fabs.f64 x) -1))) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))
(*.f64 (/.f64 x (-.f64 (fabs.f64 x) -1)) x)
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (/.f64 x (cbrt.f64 (-.f64 (fabs.f64 x) -1))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (-.f64 (fabs.f64 x) -1)) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (-.f64 (fabs.f64 x) -1)))
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fabs.f64 x)))) (/.f64 (pow.f64 x 2) (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))
(*.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fabs.f64 x)))))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1 (-.f64 (fabs.f64 x) -1)))
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(if (!=.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) 2) (log1p.f64 (fabs.f64 x))) 0) (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (*.f64 0 (-.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) 2) (log1p.f64 (fabs.f64 x))))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (.f64 0 (-.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) 2) (log1p.f64 (fabs.f64 x)))))) 0) (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (.f64 0 (-.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) 2) (log1p.f64 (fabs.f64 x))))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (*.f64 0 (-.f64 (/.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) 2) (log1p.f64 (fabs.f64 x))))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(if (!=.f64 (neg.f64 (log1p.f64 (fabs.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 3)) (-.f64 (pow.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) 2) (.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (/.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(+.f64 (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))))
(+.f64 0 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))

Outputs
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (pow.f64 x -1) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (pow.f64 x -1) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (pow.f64 x -1) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (pow.f64 x -1) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))
(*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))
(log1p.f64 (fabs.f64 x))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 1/18 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (.f64 -1/18 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (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)))) (*.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))
(fma.f64 0 (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/3 (+.f64 (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 3) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (+.f64 1 (fabs.f64 x)))))))) (+.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (+.f64 (.f64 -1/108 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (+.f64 1 (fabs.f64 x)))))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (+.f64 (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 3) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (+.f64 1 (fabs.f64 x)))))))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))) (.f64 -1/108 (/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (+.f64 1 (fabs.f64 x)))))))) (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (+.f64 1 (fabs.f64 x)))))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 1/18 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (.f64 -1/18 (/.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (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)))) (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2)))))
(fma.f64 (-.f64 (fma.f64 -1/3 (+.f64 (/.f64 1/216 (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) (/.f64 (.f64 -1/36 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 3) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 2) 2)))) (fma.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (fma.f64 -1/108 (/.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 3) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 2) 2))) (.f64 -2/3 (/.f64 (.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (+.f64 (/.f64 1/216 (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) (.f64 -1/36 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 2) 2) (+.f64 1 (fabs.f64 x))))))) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))))) (/.f64 (.f64 -1/108 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 3) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 2) 2))))) (pow.f64 (/.f64 1/6 (.f64 (+.f64 1 (fabs.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))) 3)) (pow.f64 x 6) (fma.f64 0 (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (fabs.f64 x)))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (+.f64 1 (fabs.f64 x))))) (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3))
(fma.f64 1/6 (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (fabs.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))) (cbrt.f64 (log1p.f64 (fabs.f64 x))))
(+.f64 (.f64 -1/36 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 x 4)) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (+.f64 1 (fabs.f64 x))))) (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3)))
(fma.f64 -1/36 (/.f64 (.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (pow.f64 x 4)) (.f64 (pow.f64 (.f64 (+.f64 1 (fabs.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))) (fma.f64 1/6 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (fabs.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))) (cbrt.f64 (log1p.f64 (fabs.f64 x)))))
(+.f64 (.f64 -1/36 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (pow.f64 x 4)) (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (+.f64 1 (fabs.f64 x))))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/216 (/.f64 1 (.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 3) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (.f64 -1/36 (/.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2) (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2) 2) 2) (+.f64 1 (fabs.f64 x))))))) (pow.f64 x 6)) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1/3) 2))))))
(+.f64 (fma.f64 -1/36 (/.f64 (.f64 (cbrt.f64 (log1p.f64 (fabs.f64 x))) (pow.f64 x 4)) (.f64 (pow.f64 (.f64 (+.f64 1 (fabs.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))) (fma.f64 1/6 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (fabs.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)))) (cbrt.f64 (log1p.f64 (fabs.f64 x))))) (/.f64 (.f64 -1/3 (.f64 (+.f64 (/.f64 1/216 (.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 2))) (.f64 -1/36 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 2) 2) (+.f64 1 (fabs.f64 x)))))) (pow.f64 x 6))) (cbrt.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (pow.f64 x -1) -2)) (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 1/2 (pow.f64 (pow.f64 x -1) -2)) (+.f64 1 (fabs.f64 x))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 1/2 (pow.f64 (pow.f64 x -1) -2)) (+.f64 1 (fabs.f64 x))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 1/2 (pow.f64 (pow.f64 x -1) -2)) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))))
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 x) -2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(*.f64 x (/.f64 x (-.f64 (fabs.f64 x) -1)))
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(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 (fabs.f64 x))))
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 (pow.f64 x 2) -1/2) (-.f64 -1 (fabs.f64 x))))
(+.f64 0 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))

localize67.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (fma.f64 1/2 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
✓	0.5b	(/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))
✓	2.1b	(*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))
	16.8b	(/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1))

Compiler

Compiled 168 to 104 computations (38.1% saved)

series36.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))
2.0ms	x	@	0	(*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))
2.0ms	x	@	inf	(*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))
0.0ms	x	@	inf	(/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))
0.0ms	x	@	-inf	(/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))

Compiler

Compiled 4065 to 3185 computations (21.6% saved)

rewrite1.6s (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`egg-rr`
68×	`egg-rr`
46×	`egg-rr`

Counts

3 → 206

Calls

Call 1

Inputs

(*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))))

(/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))

(fma.f64 -1/24 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))

Outputs

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simplify4.5s (7.1%)

Algorithm

1×

egglog

Counts

242 → 281

Calls

Call 1

Inputs
(.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 (.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 (.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 (.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 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 (/.f64 1 x) -4))
(.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 (/.f64 1 x) -4))
(.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 (/.f64 1 x) -4))
(.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 (/.f64 1 x) -4))
(.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 (/.f64 -1 x) -4))
(.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 (/.f64 -1 x) -4))
(.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 (/.f64 -1 x) -4))
(.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 (/.f64 -1 x) -4))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))
(log.f64 (+.f64 1 (fabs.f64 x)))
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(if (!=.f64 (+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)))) (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (log1p.f64 (fabs.f64 x))))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 3)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)))) (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (log1p.f64 (fabs.f64 x)))))) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))))
(if (!=.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) 3) (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) 2) (-.f64 (pow.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) 2) (.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))))))) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))))
(if (!=.f64 (log1p.f64 (fabs.f64 x)) 0) (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) 3) (pow.f64 (log1p.f64 (fabs.f64 x)) 3)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)))) (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (log1p.f64 (fabs.f64 x)))))) (fma.f64 -1/24 (*.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))))
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(+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) 1) (log1p.f64 (fabs.f64 x)))
(+.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))))
(+.f64 (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 -1/24 (*.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1))))))
(+.f64 (.f64 (/.f64 (.f64 3 (pow.f64 x 4)) (-.f64 (fabs.f64 x) -1)) -1/24) (+.f64 (.f64 (.f64 3 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)) -1/24) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (/.f64 (.f64 3 (pow.f64 x 4)) (-.f64 (fabs.f64 x) -1))) (+.f64 (.f64 -1/24 (.f64 3 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))))
(+.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (log1p.f64 (fabs.f64 x))) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) (.f64 -1/24 (/.f64 (.f64 3 (pow.f64 x 4)) (-.f64 (fabs.f64 x) -1)))) (.f64 -1/24 (.f64 3 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) (.f64 (/.f64 (.f64 3 (pow.f64 x 4)) (-.f64 (fabs.f64 x) -1)) -1/24)) (.f64 (.f64 3 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)) -1/24))

Outputs
(.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))
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(+.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (log1p.f64 (fabs.f64 x)))
(fma.f64 -1/24 (/.f64 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) 3) (pow.f64 x 4)) (+.f64 1 (fabs.f64 x))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))))
(fma.f64 -1/24 (/.f64 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) 3) (pow.f64 x 4)) (+.f64 1 (fabs.f64 x))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))))
(fma.f64 -1/24 (/.f64 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) 3) (pow.f64 x 4)) (+.f64 1 (fabs.f64 x))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) 1) (log1p.f64 (fabs.f64 x)))
(fma.f64 -1/24 (/.f64 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) 3) (pow.f64 x 4)) (+.f64 1 (fabs.f64 x))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(+.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))))
(fma.f64 -1/24 (/.f64 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) 3) (pow.f64 x 4)) (+.f64 1 (fabs.f64 x))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(+.f64 (/.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)) (+.f64 (log1p.f64 (fabs.f64 x)) (.f64 -1/24 (*.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1))))))
(fma.f64 -1/24 (/.f64 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) 3) (pow.f64 x 4)) (+.f64 1 (fabs.f64 x))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(+.f64 (.f64 (/.f64 (.f64 3 (pow.f64 x 4)) (-.f64 (fabs.f64 x) -1)) -1/24) (+.f64 (.f64 (.f64 3 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)) -1/24) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))))
(fma.f64 -1/24 (/.f64 (.f64 (pow.f64 x 4) 3) (+.f64 1 (fabs.f64 x))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) (.f64 -1/8 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 2))))
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(fma.f64 -1/24 (/.f64 (.f64 (pow.f64 x 4) 3) (+.f64 1 (fabs.f64 x))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) (.f64 -1/8 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 2))))
(+.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (log1p.f64 (fabs.f64 x))) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1)))
(fma.f64 -1/24 (/.f64 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) 3) (pow.f64 x 4)) (+.f64 1 (fabs.f64 x))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) (.f64 -1/24 (/.f64 (.f64 3 (pow.f64 x 4)) (-.f64 (fabs.f64 x) -1)))) (.f64 -1/24 (.f64 3 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2))))
(fma.f64 -1/24 (/.f64 (.f64 (pow.f64 x 4) 3) (+.f64 1 (fabs.f64 x))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) (.f64 -1/8 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 2))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) (.f64 (/.f64 (.f64 3 (pow.f64 x 4)) (-.f64 (fabs.f64 x) -1)) -1/24)) (.f64 (.f64 3 (pow.f64 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) 2)) -1/24))
(fma.f64 -1/24 (/.f64 (.f64 (pow.f64 x 4) 3) (+.f64 1 (fabs.f64 x))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) (.f64 -1/8 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 2))))

eval1.8s (3%)

Compiler: Compiled 102656 to 66031 computations (35.7% saved)

prune507.0ms (0.8%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	1533	3	1536
Fresh	1	0	1
Picked	1	0	1
Done	2	12	14
Total	1537	15	1552

Error

Counts

1552 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	29.5b	(copysign.f64 (if (!=.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) 0) (.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) (-.f64 (/.f64 (/.f64 (log1p.f64 (fabs.f64 x)) x) (.f64 (/.f64 -1/2 (-.f64 -1 (fabs.f64 x))) x)) -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
✓	33.2b	(copysign.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3) 1/3) x)
✓	32.8b	(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3) x)
	28.7b	(copysign.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) -1)) x) (log1p.f64 (fabs.f64 x)))) 3) x)
✓	28.5b	(copysign.f64 (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2))) x)
	29.0b	(copysign.f64 (+.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (log1p.f64 (fabs.f64 x))) x)
✓	20.6b	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	50.7b	(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/2 x))) x)
✓	50.7b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	52.3b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) x)
✓	46.4b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 (fabs.f64 x) x))) x)
✓	32.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
✓	46.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	59.1b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	57.7b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 236 to 160 computations (32.2% saved)

regimes81.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/2 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 (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3) x)
(copysign.f64 (if (!=.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) 0) (.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) (-.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2))) -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (if (!=.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) 0) (.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) (-.f64 (/.f64 (/.f64 (log1p.f64 (fabs.f64 x)) x) (.f64 (/.f64 -1/2 (-.f64 -1 (fabs.f64 x))) x)) -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) -1)) x) (log1p.f64 (fabs.f64 x)))) 3) x)
(copysign.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3) 1/3) x)
(copysign.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 3) x)
(copysign.f64 (+.f64 (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (fma.f64 1/2 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) (-.f64 (fma.f64 (fma.f64 -1/12 (.f64 (log1p.f64 (fabs.f64 x)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))) (/.f64 1/4 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))) (log1p.f64 (fabs.f64 x)) (fma.f64 1/2 (/.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) (.f64 (.f64 -1/24 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) (/.f64 3 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)))))) (/.f64 (.f64 (log1p.f64 (fabs.f64 x)) (pow.f64 (/.f64 (.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)) 2)) (.f64 3 (pow.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) 2) 2))))) (.f64 (pow.f64 x 2) (/.f64 (*.f64 3/2 (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) (-.f64 (fabs.f64 x) -1)))) (pow.f64 (log1p.f64 (fabs.f64 x)) 2)) 3)) x)

Outputs

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

(copysign.f64 (+.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (/.f64 (+.f64 (/.f64 3 (-.f64 (fabs.f64 x) -1)) 3) (-.f64 (fabs.f64 x) -1)))) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (fabs.f64 x) -1))) (log1p.f64 (fabs.f64 x))) x)

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

Calls

2 calls:

53.0ms	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 505 to 293 computations (42% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1439124955894263e-5	4.12814210757043
0.0ms	-3.281714083723703	-0.0002452009350339756

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes89.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 (fabs.f64 x) x))) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/2 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 (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 1/3) x)
(copysign.f64 (if (!=.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) 0) (.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) (-.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2))) -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (if (!=.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) 0) (.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 -1 (fabs.f64 x)) -1/2)) (-.f64 (/.f64 (/.f64 (log1p.f64 (fabs.f64 x)) x) (.f64 (/.f64 -1/2 (-.f64 -1 (fabs.f64 x))) x)) -1)) (fma.f64 1/2 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) x)
(copysign.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) -1)) x) (log1p.f64 (fabs.f64 x)))) 3) x)
(copysign.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) 3) 3) 1/3) 1/3) x)
(copysign.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)) (log1p.f64 (fabs.f64 x)))) 3) x)

Outputs

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

(copysign.f64 (-.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (fabs.f64 x) -1) -1/2))) x)

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

Calls

2 calls:

56.0ms	x
20.0ms	(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 301 to 164 computations (45.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1439124955894263e-5	4.12814210757043
0.0ms	-0.0002452009350339756	-2.0379319801653302e-8

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes55.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	x
17.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 94 to 51 computations (45.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	1.1439124955894263e-5
0.0ms	-2.0379319801653302e-8	-6.282760958401415e-9

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes31.0ms (0%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 60 to 30 computations (50% saved)

bsearch53.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.1439124956098039e-5	31.02319875046892
34.0ms	-13.291900524231146	-0.00024520093749107603

Results

46.0ms

272×

body

256

valid

Compiler

Compiled 357 to 250 computations (30% saved)

regimes15.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 49 to 25 computations (49% saved)

bsearch36.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.1439124956098039e-5	31.02319875046892
17.0ms	-13.291900524231146	-0.00024520093749107603

Results

32.0ms

272×

body

256

valid

Compiler

Compiled 325 to 226 computations (30.5% saved)

regimes14.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 38 to 20 computations (47.4% saved)

bsearch35.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.1439124956098039e-5	31.02319875046892
17.0ms	-13.291900524231146	-0.00024520093749107603

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 289 to 199 computations (31.1% saved)

regimes12.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
9.3b	2	`x`

Compiler

Compiled 31 to 17 computations (45.2% saved)

bsearch18.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1.1439124956098039e-5	31.02319875046892

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 161 to 111 computations (31.1% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
20.6b	1	`x`

Compiler

Compiled 17 to 10 computations (41.2% saved)

regimes6.0ms (0%)

Accuracy

Total -11.2b remaining (-21.2%)

Threshold costs -11.2b (-21.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
52.8b	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch122.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
122.0ms	-7.980987856321769e-301	7.277579778393238e-298

Results

120.0ms

160×

body

2048

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

simplify7.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 342 to 211 computations (38.3% saved)

soundness0.0ms (0%)

end131.0ms (0.2%)

Compiler: Compiled 333 to 170 computations (48.9% saved)

Details

analyze0.0ms (0%)

sample703.0ms (1.1%)

preprocess3.7s (5.8%)

simplify1.7s (2.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0%)

series18.0ms (0%)

rewrite2.1s (3.3%)

simplify2.8s (4.4%)

eval79.0ms (0.1%)

prune39.0ms (0.1%)

localize14.0ms (0%)

localize10.0ms (0%)

localize16.0ms (0%)

localize17.0ms (0%)

localize45.0ms (0.1%)

eval1.0ms (0%)

prune24.0ms (0%)

localize39.0ms (0.1%)

series45.0ms (0.1%)

rewrite2.1s (3.4%)

simplify3.2s (5.2%)

localize15.0ms (0%)

localize23.0ms (0%)

series68.0ms (0.1%)

rewrite1.5s (2.4%)

simplify2.0s (3.2%)

localize30.0ms (0%)

localize48.0ms (0.1%)

series267.0ms (0.4%)

rewrite1.7s (2.7%)

simplify2.3s (3.6%)

eval434.0ms (0.7%)

prune163.0ms (0.3%)

localize43.0ms (0.1%)

series24.0ms (0%)

rewrite1.6s (2.6%)

simplify4.8s (7.6%)

localize113.0ms (0.2%)

series43.0ms (0.1%)

rewrite2.5s (4.1%)

simplify4.5s (7.2%)

localize87.0ms (0.1%)

series1.4s (2.2%)

rewrite1.6s (2.5%)

simplify3.4s (5.4%)

localize68.0ms (0.1%)

series191.0ms (0.3%)

rewrite2.0s (3.2%)

simplify5.9s (9.4%)

localize67.0ms (0.1%)

series36.0ms (0.1%)

rewrite1.6s (2.5%)

simplify4.5s (7.1%)

eval1.8s (3%)

prune507.0ms (0.8%)

regimes81.0ms (0.1%)

bsearch1.0ms (0%)

regimes89.0ms (0.1%)

bsearch1.0ms (0%)

regimes55.0ms (0.1%)

bsearch1.0ms (0%)

regimes31.0ms (0%)

bsearch53.0ms (0.1%)

regimes15.0ms (0%)

bsearch36.0ms (0.1%)

regimes14.0ms (0%)

bsearch35.0ms (0.1%)

regimes12.0ms (0%)

bsearch18.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0%)

bsearch122.0ms (0.2%)

simplify7.0ms (0%)

soundness0.0ms (0%)

end131.0ms (0.2%)

Profiling