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)

sample561.0ms (7%)

Results

551.0ms

8256×

body

256

valid

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify92.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1972×	`rational.json-simplify-35`
868×	`rational.json-simplify-2`
866×	`rational.json-simplify-57`
844×	`rational.json-simplify-19`
816×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	17	37
2	32	37
3	123	37
4	1244	37
5	3361	37
6	6832	37

Stop Event

1×	node limit

Counts

1 → 1

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)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

43.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	3.3b	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	14.4b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 50 to 24 computations (52% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`rational.json-simplify-35`
1050×	`rational.json-1`
1050×	`rational.json-2`
1050×	`rational.json-3`
1048×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	82	75
2	191	75
3	690	75
4	4121	75

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4)) (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 4)) (*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 1)))))

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1606×	`rational.json-simplify-35`
1088×	`rational.json-simplify-2`
1018×	`rational.json-simplify-40`
846×	`rational.json-simplify-41`
776×	`rational.json-simplify-38`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2813
1	402	2743
2	821	2743
3	1924	2721
4	4993	2721

Stop Event

1×	node limit

Counts

79 → 155

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 2)
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)
(+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 0)
(+.f64 0 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))))
(-.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 0)
(.f64 1 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))))
(.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 1)
(.f64 2 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2))
(.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 2) 1/2)
(.f64 1/2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 2))
(.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) 2)
(/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 1)
(/.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) 2)
(/.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4)) (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4))) 16)
(pow.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 1)
(-.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 0)
(.f64 1 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)))
(.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 1)
(.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 2))
(.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2) 2)
(/.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 1)
(/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2) 2)
(/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4))) 16)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 1)

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

eval167.0ms (2.1%)

Compiler: Compiled 3533 to 2425 computations (31.4% saved)

prune28.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	145	10	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	145	11	156

Error

27.3b

Counts

156 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	60.4b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
▶	58.4b	(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) x)
	56.6b	(copysign.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x)))) x)
	58.7b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
▶	57.0b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	43.6b	(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x)
	48.8b	(copysign.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)
▶	43.6b	(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
✓	43.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
	48.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
▶	51.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)

Compiler

Compiled 243 to 173 computations (28.8% saved)

localize50.0ms (0.6%)

Compiler: Compiled 58 to 30 computations (48.3% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series107.0ms (1.3%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
88.0ms	x	@	0	(log.f64 (/.f64 -1 x))
13.0ms	x	@	-inf	(log.f64 (/.f64 -1 x))
6.0ms	x	@	inf	(log.f64 (/.f64 -1 x))

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`rational.json-1`
1438×	`rational.json-simplify-35`
960×	`rational.json-2`
960×	`rational.json-3`
946×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	51	11
2	131	11
3	271	11
4	549	11
5	1436	11
6	3819	11
7	7659	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (log.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 (/.f64 1 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (log.f64 (/.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (/.f64 -1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (log.f64 (pow.f64 (/.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 (/.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (/.f64 1 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 -1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (/.f64 -1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 -1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 -1 x)) 8))) (.f64 2 (.f64 2 (*.f64 (log.f64 (/.f64 -1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -1 x)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (/.f64 1 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (/.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 -1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (pow.f64 (/.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (/.f64 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (/.f64 1 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 -1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 -1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 -1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 -1 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 -1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -1 x)) 1)))))

simplify787.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

6472×	`rational.json-simplify-41`
2956×	`rational.json-simplify-35`
1476×	`rational.json-simplify-49`
1418×	`rational.json-simplify-2`
956×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	442
1	106	434
2	223	434
3	710	434
4	1311	434
5	2422	434
6	2966	434
7	3053	434
8	3108	434
9	3149	434
10	3658	434
11	3820	434
12	3900	434
13	3980	434
14	4039	434
15	4098	434
16	4157	434
17	4216	434
18	4275	434
19	5335	434
20	5566	434
21	5618	434
22	5664	434
23	5708	434
24	5751	434
25	6025	434
26	6068	434
27	6111	434
28	6154	434
29	6197	434
30	6240	434
31	6240	434
32	6283	434
33	6326	434
34	6369	434
35	6412	434

Stop Event

1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) 0)
(+.f64 0 (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (/.f64 -1 x)) 0)
(*.f64 (log.f64 (/.f64 -1 x)) 1)
(*.f64 1 (log.f64 (/.f64 -1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 -1 x))))
(*.f64 (log.f64 (pow.f64 (/.f64 1 x) 2)) 1/2)
(*.f64 4 (/.f64 (log.f64 (/.f64 -1 x)) 4))
(.f64 (.f64 (log.f64 (/.f64 -1 x)) 4) 1/4)
(*.f64 1/2 (log.f64 (pow.f64 (/.f64 1 x) 2)))
(.f64 1/4 (.f64 (log.f64 (/.f64 -1 x)) 4))
(*.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) 2)
(*.f64 (/.f64 (log.f64 (/.f64 -1 x)) 4) 4)
(/.f64 (log.f64 (/.f64 -1 x)) 1)
(/.f64 (log.f64 (pow.f64 (/.f64 1 x) 2)) 2)
(/.f64 (*.f64 (log.f64 (/.f64 -1 x)) 4) 4)
(/.f64 (*.f64 (log.f64 (/.f64 -1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (/.f64 -1 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (/.f64 -1 x)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 -1 x)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 -1 x)) 8)))) 64)
(pow.f64 (log.f64 (/.f64 -1 x)) 1)

Outputs
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) 0)
(log.f64 (/.f64 -1 x))
(+.f64 0 (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 -1 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 (/.f64 -1 x))))
(log.f64 (/.f64 -1 x))
(-.f64 (log.f64 (/.f64 -1 x)) 0)
(log.f64 (/.f64 -1 x))
(*.f64 (log.f64 (/.f64 -1 x)) 1)
(log.f64 (/.f64 -1 x))
(*.f64 1 (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 -1 x))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 -1 x))))
(log.f64 (/.f64 -1 x))
(*.f64 (log.f64 (pow.f64 (/.f64 1 x) 2)) 1/2)
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 2)))
(log.f64 (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(*.f64 4 (/.f64 (log.f64 (/.f64 -1 x)) 4))
(log.f64 (/.f64 -1 x))
(.f64 (.f64 (log.f64 (/.f64 -1 x)) 4) 1/4)
(log.f64 (/.f64 -1 x))
(*.f64 1/2 (log.f64 (pow.f64 (/.f64 1 x) 2)))
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 2)))
(log.f64 (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(.f64 1/4 (.f64 (log.f64 (/.f64 -1 x)) 4))
(log.f64 (/.f64 -1 x))
(*.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))) 2)
(log.f64 (/.f64 -1 x))
(*.f64 (/.f64 (log.f64 (/.f64 -1 x)) 4) 4)
(log.f64 (/.f64 -1 x))
(/.f64 (log.f64 (/.f64 -1 x)) 1)
(log.f64 (/.f64 -1 x))
(/.f64 (log.f64 (pow.f64 (/.f64 1 x) 2)) 2)
(/.f64 (*.f64 (log.f64 (/.f64 -1 x)) 4) 4)
(log.f64 (/.f64 -1 x))
(/.f64 (*.f64 (log.f64 (/.f64 -1 x)) 8) 8)
(log.f64 (/.f64 -1 x))
(/.f64 (.f64 2 (.f64 (log.f64 (/.f64 -1 x)) 8)) 16)
(log.f64 (/.f64 -1 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (/.f64 -1 x)) 8))) 32)
(log.f64 (/.f64 -1 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 -1 x)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 -1 x)) 8)))) 64)
(log.f64 (/.f64 -1 x))
(pow.f64 (log.f64 (/.f64 -1 x)) 1)
(log.f64 (/.f64 -1 x))

localize10.0ms (0.1%)

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)

series49.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) 1))
11.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) 1))
10.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) 1))

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`rational.json-simplify-35`
1192×	`rational.json-1`
1192×	`rational.json-2`
1192×	`rational.json-3`
1190×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	63	15
2	159	15
3	505	15
4	3751	15

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (fabs.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))))

simplify637.0ms (8%)

Algorithm

1×	egg-herbie

Rules

1990×	`rational.json-simplify-35`
1220×	`rational.json-simplify-46`
1186×	`rational.json-simplify-2`
1044×	`rational.json-simplify-53`
834×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	405
1	67	405
2	154	405
3	462	405
4	1665	405
5	4429	405
6	7674	405

Stop Event

1×	node limit

Counts

27 → 16

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)
(+.f64 0 (log.f64 (+.f64 (fabs.f64 x) 1)))
(-.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)
(*.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1)))
(*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(*.f64 2 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 1/2)
(.f64 1/2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(*.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)
(/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))) 16)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 0 (log.f64 (+.f64 (fabs.f64 x) 1)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(-.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)
(log.f64 (+.f64 1 (fabs.f64 x)))
(*.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))
(*.f64 2 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 1/2)
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 1/2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(*.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 4)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 8)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))) 16)
(log.f64 (+.f64 1 (fabs.f64 x)))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))

localize10.0ms (0.1%)

Compiler: Compiled 25 to 6 computations (76% saved)

localize24.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 43 to 24 computations (44.2% saved)

series7.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(log.f64 (/.f64 1 x))
0.0ms	x	@	-inf	(log.f64 (/.f64 1 x))
0.0ms	x	@	inf	(log.f64 (/.f64 1 x))

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`rational.json-simplify-35`
1050×	`rational.json-1`
1050×	`rational.json-2`
1050×	`rational.json-3`
1040×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	56	11
2	134	11
3	265	11
4	534	11
5	1415	11
6	4118	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (/.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (/.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (/.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1 x)) 1)))))

simplify850.0ms (10.7%)

Algorithm

1×	egg-herbie

Rules

7014×	`rational.json-simplify-41`
2036×	`rational.json-simplify-35`
1820×	`rational.json-simplify-2`
1180×	`rational.json-simplify-49`
1038×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	370
1	102	362
2	255	362
3	747	362
4	1240	362
5	2416	362
6	3041	362
7	3099	362
8	3142	362
9	3179	362
10	3212	362
11	3245	362
12	3299	362
13	3332	362
14	3365	362
15	3398	362
16	3431	362
17	3464	362
18	3497	362
19	4351	362
20	4817	362
21	4917	362
22	4954	362
23	4990	362
24	5026	362
25	5062	362
26	5098	362
27	5134	362
28	5170	362
29	5206	362
30	5242	362
31	5278	362
32	5314	362
33	5350	362
34	5386	362
35	5422	362
36	5422	362
37	5422	362

Stop Event

1×	node limit

Counts

30 → 26

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) 0)
(+.f64 0 (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 x))))
(-.f64 (log.f64 (/.f64 1 x)) 0)
(*.f64 1 (log.f64 (/.f64 1 x)))
(*.f64 (log.f64 (/.f64 1 x)) 1)
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 1 x))))
(*.f64 4 (/.f64 (log.f64 (/.f64 1 x)) 4))
(.f64 (.f64 (log.f64 (/.f64 1 x)) 2) 1/2)
(.f64 (.f64 (log.f64 (/.f64 1 x)) 4) 1/4)
(.f64 1/2 (.f64 (log.f64 (/.f64 1 x)) 2))
(.f64 1/4 (.f64 (log.f64 (/.f64 1 x)) 4))
(*.f64 (log.f64 (sqrt.f64 (/.f64 1 x))) 2)
(*.f64 (/.f64 (log.f64 (/.f64 1 x)) 4) 4)
(/.f64 (log.f64 (/.f64 1 x)) 1)
(/.f64 (*.f64 (log.f64 (/.f64 1 x)) 2) 2)
(/.f64 (*.f64 (log.f64 (/.f64 1 x)) 4) 4)
(/.f64 (*.f64 (log.f64 (/.f64 1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (/.f64 1 x)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 1 x)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 1 x)) 8)))) 64)
(pow.f64 (log.f64 (/.f64 1 x)) 1)

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 1 x)) 0)
(log.f64 (/.f64 1 x))
(+.f64 0 (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(-.f64 (log.f64 (/.f64 1 x)) 0)
(log.f64 (/.f64 1 x))
(*.f64 1 (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(*.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(*.f64 4 (/.f64 (log.f64 (/.f64 1 x)) 4))
(log.f64 (/.f64 1 x))
(.f64 (.f64 (log.f64 (/.f64 1 x)) 2) 1/2)
(log.f64 (/.f64 1 x))
(.f64 (.f64 (log.f64 (/.f64 1 x)) 4) 1/4)
(log.f64 (/.f64 1 x))
(.f64 1/2 (.f64 (log.f64 (/.f64 1 x)) 2))
(log.f64 (/.f64 1 x))
(.f64 1/4 (.f64 (log.f64 (/.f64 1 x)) 4))
(log.f64 (/.f64 1 x))
(*.f64 (log.f64 (sqrt.f64 (/.f64 1 x))) 2)
(log.f64 (/.f64 1 x))
(*.f64 (/.f64 (log.f64 (/.f64 1 x)) 4) 4)
(log.f64 (/.f64 1 x))
(/.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(/.f64 (*.f64 (log.f64 (/.f64 1 x)) 2) 2)
(log.f64 (/.f64 1 x))
(/.f64 (*.f64 (log.f64 (/.f64 1 x)) 4) 4)
(log.f64 (/.f64 1 x))
(/.f64 (*.f64 (log.f64 (/.f64 1 x)) 8) 8)
(log.f64 (/.f64 1 x))
(/.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 x)) 8)) 16)
(log.f64 (/.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (/.f64 1 x)) 8))) 32)
(log.f64 (/.f64 1 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 1 x)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (/.f64 1 x)) 8)))) 64)
(log.f64 (/.f64 1 x))
(pow.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))

eval16.0ms (0.2%)

Compiler: Compiled 899 to 629 computations (30% saved)

prune17.0ms (0.2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	5	5
Picked	1	0	1
Done	0	5	5
Total	71	11	82

Error

27.3b

Counts

82 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	60.4b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
▶	58.4b	(copysign.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 (fabs.f64 x) x)) x)
▶	56.6b	(copysign.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x)))) x)
▶	58.7b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
✓	57.0b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
✓	43.6b	(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x)
▶	48.8b	(copysign.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)
✓	43.6b	(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
✓	43.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
▶	48.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	51.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)

Compiler

Compiled 201 to 142 computations (29.4% saved)

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 52 to 29 computations (44.2% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`rational.json-simplify-35`
1346×	`exponential.json-3`
1346×	`rational.json-1`
1346×	`rational.json-2`
1346×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	88	29
2	213	29
3	637	23
4	4058	23

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x x) (/.f64 (+.f64 x (fabs.f64 x)) (*.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x))))) (*.f64 (+.f64 x x) (/.f64 (+.f64 x (fabs.f64 x)) (*.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 x (fabs.f64 x)) (*.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x)))) (+.f64 x x)) (*.f64 (/.f64 (+.f64 x (fabs.f64 x)) (*.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x)))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)))))

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1444×	`rational.json-simplify-2`
1276×	`rational.json-simplify-47`
1270×	`rational.json-simplify-44`
948×	`rational.json-simplify-51`
852×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	457
1	112	457
2	276	457
3	860	457
4	5337	457

Stop Event

1×	node limit

Counts

23 → 24

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
x
(+.f64 (fabs.f64 x) x)
x
(+.f64 (fabs.f64 x) x)
(-.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 0)
(.f64 1/2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))
(*.f64 1 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(*.f64 2 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))
(.f64 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 1/2)
(*.f64 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)
(/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(/.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) 8)
(/.f64 (+.f64 (+.f64 x x) (/.f64 (+.f64 x (fabs.f64 x)) (.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x))))) (.f64 (+.f64 x x) (/.f64 (+.f64 x (fabs.f64 x)) (*.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x))))))
(/.f64 (+.f64 (/.f64 (+.f64 x (fabs.f64 x)) (.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x)))) (+.f64 x x)) (.f64 (/.f64 (+.f64 x (fabs.f64 x)) (*.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x)))) (+.f64 x x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4))) 16)
(pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)

Outputs
(/.f64 1/2 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 (fabs.f64 x) (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 (fabs.f64 x) (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
(-.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 0)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(.f64 1/2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(*.f64 1 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(*.f64 2 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(.f64 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 1/2)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(*.f64 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(/.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(/.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4) 4)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) 8)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(/.f64 (+.f64 (+.f64 x x) (/.f64 (+.f64 x (fabs.f64 x)) (.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x))))) (.f64 (+.f64 x x) (/.f64 (+.f64 x (fabs.f64 x)) (*.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x))))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 (+.f64 x (fabs.f64 x)) (.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x)))) (+.f64 x x)) (.f64 (/.f64 (+.f64 x (fabs.f64 x)) (*.f64 (+.f64 x (fabs.f64 x)) (+.f64 x (fabs.f64 x)))) (+.f64 x x)))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4))) 16)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize8.0ms (0.1%)

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

localize12.0ms (0.2%)

Compiler: Compiled 37 to 8 computations (78.4% saved)

localize628.0ms (7.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 47 to 24 computations (48.9% saved)

series1.0ms (0%)

Counts

1 → 9

Calls

3 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`rational.json-simplify-35`
1230×	`rational.json-1`
1230×	`rational.json-2`
1230×	`rational.json-3`
1228×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	75	27
2	206	27
3	718	27
4	3828	27

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 1)))))

simplify103.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1720×	`rational.json-simplify-35`
1338×	`rational.json-simplify-2`
1146×	`rational.json-simplify-1`
832×	`rational.json-simplify-41`
728×	`rational.json-simplify-59`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	616
1	93	608
2	204	608
3	553	608
4	2061	608
5	5009	608
6	7464	608

Stop Event

1×	node limit

Counts

22 → 23

Calls

Call 1

Inputs
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 x (fabs.f64 x)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 x (fabs.f64 x)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 x (fabs.f64 x)) (*.f64 -1 (log.f64 x))))
(/.f64 x (fabs.f64 x))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (/.f64 x (fabs.f64 x))))
(/.f64 x (fabs.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 0)
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 1)
(*.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))))
(*.f64 2 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2) 2)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 1)
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4)) (.f64 2 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4))) 16)
(pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 1)

Outputs
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 x (fabs.f64 x)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 x)) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 x)) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 x (fabs.f64 x)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 x)) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 x)) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 x (fabs.f64 x)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 x)) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 x)) (/.f64 x (fabs.f64 x))))
(/.f64 x (fabs.f64 x))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 x (fabs.f64 x)) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 x (fabs.f64 x)) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (/.f64 x (fabs.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 x (fabs.f64 x)) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 -1)))
(/.f64 x (fabs.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 0)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 1)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(*.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))))
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(*.f64 2 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2))
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2) 1/2)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(.f64 1/2 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2))
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2) 2)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 1)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 2) 2)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(/.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4) 4)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4)) 8)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4)) (.f64 2 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 4))) 16)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))
(pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x))) 1)
(+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))

eval22.0ms (0.3%)

Compiler: Compiled 1452 to 906 computations (37.6% saved)

prune48.0ms (0.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	1	1
Picked	1	0	1
Done	4	5	9
Total	103	10	113

Error

27.3b

Counts

113 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.4b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
▶	57.5b	(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
✓	57.0b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	48.8b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
✓	43.6b	(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x)
✓	43.6b	(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
✓	43.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
✓	51.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
▶	48.8b	(copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))) x)
▶	58.7b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 155 to 108 computations (30.3% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 x) (fabs.f64 x))
✓	0.5b	(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series333.0ms (4.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
332.0ms	x	@	0	(+.f64 (/.f64 1/2 x) (fabs.f64 x))
0.0ms	x	@	inf	(+.f64 (/.f64 1/2 x) (fabs.f64 x))
0.0ms	x	@	-inf	(+.f64 (/.f64 1/2 x) (fabs.f64 x))
0.0ms	x	@	0	(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
0.0ms	x	@	-inf	(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational.json-simplify-35`
1308×	`exponential.json-3`
1308×	`rational.json-1`
1308×	`rational.json-2`
1308×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	66	40
2	173	40
3	613	40
4	4119	40

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) (*.f64 2 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/2 x) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (*.f64 x (/.f64 2 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x)))) (*.f64 2 (*.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (+.f64 x x)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (neg.f64 x) -1/2) (/.f64 1 (fabs.f64 x))) (*.f64 (/.f64 (neg.f64 x) -1/2) (/.f64 1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (neg.f64 x) -1/2)) (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (neg.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x)))) (*.f64 2 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))))) (+.f64 (*.f64 2 (*.f64 x (/.f64 2 (fabs.f64 x)))) (*.f64 2 (*.f64 x (/.f64 2 (fabs.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4)) (*.f64 2 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (+.f64 x x)) (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (+.f64 x x))) (/.f64 2 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 1)))))

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-35`
928×	`rational.json-simplify-2`
854×	`rational.json-simplify-46`
798×	`rational.json-simplify-41`
556×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1125
1	213	1125
2	559	1125
3	1900	1125
4	5196	1125
5	7021	1125

Stop Event

1×	node limit

Counts

59 → 48

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) 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 (fabs.f64 x) 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 (fabs.f64 x) x))
(/.f64 1/2 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(fabs.f64 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(fabs.f64 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 0)
(.f64 1/2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))
(*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(*.f64 1 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(*.f64 2 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))
(.f64 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 1/2)
(*.f64 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)
(/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(/.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)
(/.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4))) 16)
(pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(-.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 0)
(.f64 1/2 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2))
(*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 1)
(*.f64 1 (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(*.f64 2 (/.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2))
(.f64 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2) 1/2)
(*.f64 (/.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2) 2)
(/.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 1)
(/.f64 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2) 2)
(/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (*.f64 x (/.f64 2 (fabs.f64 x))))
(/.f64 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4) 4)
(/.f64 (.f64 2 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x)))) (.f64 2 (*.f64 x (/.f64 2 (fabs.f64 x)))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4)) 8)
(/.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (+.f64 x x)) (/.f64 1 (fabs.f64 x)))
(/.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (+.f64 x x))
(/.f64 (+.f64 (/.f64 (neg.f64 x) -1/2) (/.f64 1 (fabs.f64 x))) (*.f64 (/.f64 (neg.f64 x) -1/2) (/.f64 1 (fabs.f64 x))))
(/.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (neg.f64 x) -1/2)) (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (neg.f64 x) -1/2)))
(/.f64 (+.f64 (.f64 2 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x)))) (.f64 2 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))))) (+.f64 (.f64 2 (.f64 x (/.f64 2 (fabs.f64 x)))) (.f64 2 (.f64 x (/.f64 2 (fabs.f64 x))))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4)) (.f64 2 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4))) 16)
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (+.f64 x x)) (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (+.f64 x x))) (/.f64 2 (fabs.f64 x)))
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))) (*.f64 x 4))
(pow.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 1)

Outputs
(/.f64 1/2 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 (fabs.f64 x) (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 (fabs.f64 x) (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(/.f64 1/2 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(fabs.f64 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(fabs.f64 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 0)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 1/2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(*.f64 1 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(*.f64 2 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 1/2)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(*.f64 (/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 2) 2)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4) 4)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) 8)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4)) (.f64 2 (.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 4))) 16)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(pow.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))) 1)
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 0)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(.f64 1/2 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 1)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(*.f64 1 (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(*.f64 2 (/.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(.f64 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2) 1/2)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(*.f64 (/.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2) 2)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 1)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 2) 2)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (*.f64 x (/.f64 2 (fabs.f64 x))))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (*.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4) 4)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (.f64 2 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x)))) (.f64 2 (*.f64 x (/.f64 2 (fabs.f64 x)))))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4)) 8)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (+.f64 x x)) (/.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (+.f64 x x))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (+.f64 (/.f64 (neg.f64 x) -1/2) (/.f64 1 (fabs.f64 x))) (*.f64 (/.f64 (neg.f64 x) -1/2) (/.f64 1 (fabs.f64 x))))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (neg.f64 x) -1/2)) (*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (neg.f64 x) -1/2)))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (+.f64 (.f64 2 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x)))) (.f64 2 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))))) (+.f64 (.f64 2 (.f64 x (/.f64 2 (fabs.f64 x)))) (.f64 2 (.f64 x (/.f64 2 (fabs.f64 x))))))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4)) (.f64 2 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4))) 16)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (+.f64 x x)) (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (+.f64 x x))) (/.f64 2 (fabs.f64 x)))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 (+.f64 (+.f64 x x) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))) (*.f64 x 4))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(pow.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 1)
(+.f64 (/.f64 1/2 x) (fabs.f64 x))

localize5.0ms (0.1%)

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

localize11.0ms (0.1%)

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

localize7.0ms (0.1%)

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
✓	0.0b	(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
✓	3.2b	(log.f64 (+.f64 1 (fabs.f64 x)))
✓	14.5b	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))

Compiler

Compiled 71 to 47 computations (33.8% saved)

series58.0ms (0.7%)

Counts

4 → 3

Calls

12 calls:

Time	Variable		Point	Expression
55.0ms	x	@	-inf	(log.f64 (+.f64 1 (fabs.f64 x)))
1.0ms	x	@	-inf	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
1.0ms	x	@	inf	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
1.0ms	x	@	0	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
0.0ms	x	@	-inf	(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))

rewrite501.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`rational.json-1`
1474×	`rational.json-2`
1474×	`rational.json-3`
1472×	`exponential.json-3`
1472×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	105	116
2	247	116
3	739	116
4	4472	116

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.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 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))))) (#(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 (pow.f64 x 2) (.f64 2 (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x))))))))) (#(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 1/2 (.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.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 2 (pow.f64 x 2)) (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 x 2)) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) 4) (/.f64 1 (.f64 (+.f64 1 (fabs.f64 x)) 4)))))) (#(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 (neg.f64 (pow.f64 x 2)) (/.f64 1 (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 1 (fabs.f64 x))) (.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 1/2 (/.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 -1 (fabs.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 1 (fabs.f64 x)) 4)) (.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 -1 (fabs.f64 x))) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 4) (*.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 4) (.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 2 (/.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) (+.f64 2 (.f64 2 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (/.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))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 1 (fabs.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (.f64 (+.f64 1 (fabs.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) (.f64 2 (-.f64 -1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (+.f64 2 (.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (.f64 4 (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 2) 4)) (.f64 2 (.f64 2 (.f64 (+.f64 1 (fabs.f64 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (pow.f64 x 2))) (.f64 2 (.f64 2 (-.f64 -1 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (pow.f64 x 2))) (.f64 2 (neg.f64 (+.f64 2 (.f64 2 (fabs.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 x 2))) (+.f64 2 (.f64 2 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 2) (-.f64 -1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 (pow.f64 x 2))) 2) (+.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) 4) (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 1)))))

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

934×	`rational.json-simplify-1`
928×	`rational.json-simplify-50`
852×	`rational.json-simplify-44`
776×	`rational.json-simplify-47`
726×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	2226
1	352	2226
2	969	2226
3	4223	2226
4	6456	2226

Stop Event

1×	node limit

Counts

80 → 91

Calls

Call 1

Inputs
(log.f64 (+.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 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 0)
(+.f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 0 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 0)
(.f64 2 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (fabs.f64 x))))
(.f64 (pow.f64 x 2) (.f64 2 (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x))))))
(*.f64 1 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 1)
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(.f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 2)
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))))
(.f64 (.f64 2 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))
(.f64 (.f64 2 (pow.f64 x 2)) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))
(.f64 (.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) 1/2)
(.f64 (.f64 (pow.f64 x 2) 4) (/.f64 1 (*.f64 (+.f64 1 (fabs.f64 x)) 4)))
(*.f64 (/.f64 1 (+.f64 1 (fabs.f64 x))) (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (-.f64 -1 (fabs.f64 x))))
(.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 1/2 (+.f64 1 (fabs.f64 x))) (.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x))))) (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) -1)
(.f64 (/.f64 1 (.f64 (+.f64 1 (fabs.f64 x)) 4)) (*.f64 (pow.f64 x 2) 4))
(*.f64 (/.f64 1 (-.f64 -1 (fabs.f64 x))) (neg.f64 (pow.f64 x 2)))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 1)
(neg.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 0)
(+.f64 0 (log.f64 (+.f64 1 (fabs.f64 x))))
(-.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 0)
(*.f64 2 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2))
(*.f64 1 (log.f64 (+.f64 1 (fabs.f64 x))))
(*.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1)
(*.f64 1/2 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))
(*.f64 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) 1/2)
(*.f64 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2)
(/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1)
(/.f64 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) 2)
(/.f64 (*.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 4) 4)
(/.f64 (+.f64 (.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 4) (.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 4)) 8)
(pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 0)
(.f64 2 (/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 2))
(.f64 1 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))))
(.f64 1/2 (.f64 2 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))))
(.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 1)
(.f64 (.f64 2 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))) 1/2)
(.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 2) 2)
(/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 1)
(/.f64 (.f64 2 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))) 2)
(/.f64 (.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 4) 4)
(/.f64 (+.f64 (.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 4) (.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 4)) 8)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 1)
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 0)
(/.f64 2 (*.f64 2 (/.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))
(/.f64 (pow.f64 x 2) (+.f64 2 (*.f64 2 (fabs.f64 x))))
(/.f64 1 (/.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(/.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 2)
(/.f64 1/2 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 1)
(/.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 1 (fabs.f64 x)) 4))
(/.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) 4)
(/.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (*.f64 (+.f64 1 (fabs.f64 x)) 4)))
(/.f64 (neg.f64 (pow.f64 x 2)) (*.f64 2 (-.f64 -1 (fabs.f64 x))))
(/.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (+.f64 2 (*.f64 2 (fabs.f64 x)))))
(/.f64 (/.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (.f64 4 (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)))))
(/.f64 (*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 4) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 4)) (.f64 2 (.f64 2 (*.f64 (+.f64 1 (fabs.f64 x)) 4))))
(/.f64 (.f64 2 (neg.f64 (pow.f64 x 2))) (.f64 2 (*.f64 2 (-.f64 -1 (fabs.f64 x)))))
(/.f64 (neg.f64 (.f64 2 (pow.f64 x 2))) (.f64 2 (neg.f64 (+.f64 2 (*.f64 2 (fabs.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x 2))) (+.f64 2 (*.f64 2 (fabs.f64 x))))
(/.f64 (/.f64 (pow.f64 x 2) 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 2) (-.f64 -1 (fabs.f64 x)))
(/.f64 (/.f64 (neg.f64 (neg.f64 (pow.f64 x 2))) 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) 4) (*.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))))
(pow.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 1)

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 0)
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(+.f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(+.f64 0 (/.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 (fabs.f64 x) -1))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 0)
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 2 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 1 (fabs.f64 x))))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 (pow.f64 x 2) (.f64 2 (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x))))))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(*.f64 1 (/.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 (fabs.f64 x) -1))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 1)
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 1/2 (.f64 2 (/.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 (fabs.f64 x) -1))
(.f64 (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 2)
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(*.f64 -1 (/.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 (fabs.f64 x) -1))
(.f64 (.f64 2 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 (.f64 2 (pow.f64 x 2)) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 (.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) 1/2)
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 (.f64 (pow.f64 x 2) 4) (/.f64 1 (*.f64 (+.f64 1 (fabs.f64 x)) 4)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(*.f64 (/.f64 1 (+.f64 1 (fabs.f64 x))) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (-.f64 -1 (fabs.f64 x))))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 2 (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 (/.f64 1/2 (+.f64 1 (fabs.f64 x))) (.f64 2 (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 (.f64 2 (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x))))) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(*.f64 (/.f64 (pow.f64 x 2) (-.f64 -1 (fabs.f64 x))) -1)
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(.f64 (/.f64 1 (.f64 (+.f64 1 (fabs.f64 x)) 4)) (*.f64 (pow.f64 x 2) 4))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(*.f64 (/.f64 1 (-.f64 -1 (fabs.f64 x))) (neg.f64 (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 1)
(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))
(neg.f64 (/.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 (fabs.f64 x) -1))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 0)
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(+.f64 0 (log.f64 (+.f64 1 (fabs.f64 x))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(-.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 0)
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(*.f64 2 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(*.f64 1 (log.f64 (+.f64 1 (fabs.f64 x))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(*.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(*.f64 1/2 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))
(log.f64 (sqrt.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))
(log.f64 (pow.f64 (sqrt.f64 (-.f64 (fabs.f64 x) -1)) 2))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 1 (fabs.f64 x))) 2))
(*.f64 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) 1/2)
(log.f64 (sqrt.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))
(log.f64 (pow.f64 (sqrt.f64 (-.f64 (fabs.f64 x) -1)) 2))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 1 (fabs.f64 x))) 2))
(*.f64 (/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2)
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(/.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(/.f64 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) 2)
(/.f64 (log.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) 2)
(/.f64 (*.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 4) 4)
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(/.f64 (+.f64 (.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 4) (.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 4)) 8)
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(pow.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (-.f64 (fabs.f64 x) -1))
(-.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 0)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(.f64 2 (/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 2))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(.f64 1 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(.f64 1/2 (.f64 2 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 1)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(.f64 (.f64 2 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))) 1/2)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 2) 2)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 1)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(/.f64 (.f64 2 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))) 2)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(/.f64 (.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 4) 4)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(/.f64 (+.f64 (.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 4) (.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 4)) 8)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(pow.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 1)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (fabs.f64 x) -1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 0)
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(+.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.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 (fabs.f64 x) -1)))
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 0)
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 2 (*.f64 2 (/.f64 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 (fabs.f64 x) -1)))
(/.f64 (pow.f64 x 2) (+.f64 2 (*.f64 2 (fabs.f64 x))))
(/.f64 (pow.f64 x 2) (+.f64 2 (*.f64 (fabs.f64 x) 2)))
(/.f64 1 (/.f64 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 (fabs.f64 x) -1)))
(/.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 2)
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 1/2 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 1)
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 (.f64 2 (pow.f64 x 2)) (.f64 (+.f64 1 (fabs.f64 x)) 4))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) 4)
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (*.f64 (+.f64 1 (fabs.f64 x)) 4)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 (neg.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 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (+.f64 2 (*.f64 2 (fabs.f64 x)))))
(/.f64 (pow.f64 x 2) (+.f64 2 (*.f64 (fabs.f64 x) 2)))
(/.f64 (/.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (.f64 4 (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 (*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 4) 8)
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 4)) (.f64 2 (.f64 2 (*.f64 (+.f64 1 (fabs.f64 x)) 4))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(/.f64 (.f64 2 (neg.f64 (pow.f64 x 2))) (.f64 2 (*.f64 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 (fabs.f64 x) -1)))
(/.f64 (neg.f64 (.f64 2 (pow.f64 x 2))) (.f64 2 (neg.f64 (+.f64 2 (*.f64 2 (fabs.f64 x))))))
(/.f64 (pow.f64 x 2) (+.f64 2 (*.f64 (fabs.f64 x) 2)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x 2))) (+.f64 2 (*.f64 2 (fabs.f64 x))))
(/.f64 (pow.f64 x 2) (+.f64 2 (*.f64 (fabs.f64 x) 2)))
(/.f64 (/.f64 (pow.f64 x 2) 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 (fabs.f64 x) -1)))
(/.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 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 (fabs.f64 x) -1)))
(/.f64 (/.f64 (neg.f64 (neg.f64 (pow.f64 x 2))) 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 (fabs.f64 x) -1)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) 4) (*.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
(pow.f64 (*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) 1)
(*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))

eval132.0ms (1.7%)

Compiler: Compiled 2698 to 1828 computations (32.2% saved)

prune439.0ms (5.5%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	136	13	149

Error

27.3b

Counts

149 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	60.4b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (/.f64 (log.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2)) 2)) x)
✓	60.4b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	60.4b	(copysign.f64 (.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) 2) 2) x)
	60.7b	(copysign.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) x)
✓	57.5b	(copysign.f64 (neg.f64 (/.f64 x (fabs.f64 x))) x)
✓	57.0b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
✓	48.8b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
✓	43.6b	(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x)
✓	43.6b	(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
✓	43.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
✓	51.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
✓	48.8b	(copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))) x)
✓	58.7b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 163 to 119 computations (27% saved)

regimes38.0ms (0.5%)

Counts

19 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)

Calls

2 calls:

19.0ms	x
14.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
28.4b	2	`x`
27.6b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 228 to 138 computations (39.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.034486883201034	20.008849188522863
0.0ms	-inf	-351.10196303043114

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes19.0ms (0.2%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
28.4b	2	`x`

Compiler

Compiled 141 to 78 computations (44.7% saved)

bsearch95.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
95.0ms	-1.262553387535137e-279	1.9969588321310066e-302

Results

93.0ms

128×

body

2048

valid

Compiler

Compiled 249 to 180 computations (27.7% saved)

regimes49.0ms (0.6%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

46.0ms

Results

Error	Segments	Branch
28.4b	2	`x`

Compiler

Compiled 127 to 71 computations (44.1% saved)

bsearch571.0ms (7.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
571.0ms	-1.262553387535137e-279	1.9969588321310066e-302

Results

569.0ms

128×

body

2048

valid

Compiler

Compiled 201 to 140 computations (30.3% saved)

regimes15.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
28.5b	2	`x`

Compiler

Compiled 56 to 33 computations (41.1% saved)

bsearch99.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
99.0ms	-1.262553387535137e-279	1.9969588321310066e-302

Results

96.0ms

128×

body

2048

valid

Compiler

Compiled 161 to 116 computations (28% saved)

regimes11.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
41.5b	2	`x`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch58.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
58.0ms	6.006325328116584e-154	8.166537165352387e-151

Results

56.0ms

128×

body

1024

valid

Compiler

Compiled 153 to 116 computations (24.2% saved)

regimes10.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
41.8b	2	`x`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch100.0ms (1.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
100.0ms	-1.262553387535137e-279	1.9969588321310066e-302

Results

98.0ms

128×

body

2048

valid

Compiler

Compiled 153 to 116 computations (24.2% saved)

regimes4.0ms (0%)

Accuracy

Total -9.8b remaining (-20.2%)

Threshold costs -9.8b (-20.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
48.8b	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	494

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -inf.0) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 10) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x 7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (log.f64 x) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -inf.0) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 10) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x 7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (log.f64 x) x)

Compiler

Compiled 178 to 117 computations (34.3% saved)

soundness92.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1606×	`rational.json-simplify-35`
1088×	`rational.json-simplify-2`
1018×	`rational.json-simplify-40`
846×	`rational.json-simplify-41`
776×	`rational.json-simplify-38`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2813
1	402	2743
2	821	2743
3	1924	2721
4	4993	2721

Stop Event

1×	node limit

Compiler

Compiled 36 to 21 computations (41.7% saved)

end80.0ms (1%)

Compiler: Compiled 171 to 96 computations (43.9% saved)

Details

analyze0.0ms (0%)

sample561.0ms (7%)

preprocess5.0ms (0.1%)

simplify92.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.2%)

series3.0ms (0%)

rewrite71.0ms (0.9%)

simplify87.0ms (1.1%)

eval167.0ms (2.1%)

prune28.0ms (0.3%)

localize50.0ms (0.6%)

localize12.0ms (0.2%)

series107.0ms (1.3%)

rewrite105.0ms (1.3%)

simplify787.0ms (9.9%)

localize10.0ms (0.1%)

series49.0ms (0.6%)

rewrite54.0ms (0.7%)

simplify637.0ms (8%)

localize10.0ms (0.1%)

localize24.0ms (0.3%)

series7.0ms (0.1%)

rewrite90.0ms (1.1%)

simplify850.0ms (10.7%)

eval16.0ms (0.2%)

prune17.0ms (0.2%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite62.0ms (0.8%)

simplify78.0ms (1%)

localize12.0ms (0.1%)

localize8.0ms (0.1%)

localize12.0ms (0.2%)

localize628.0ms (7.9%)

series1.0ms (0%)

rewrite56.0ms (0.7%)

simplify103.0ms (1.3%)

eval22.0ms (0.3%)

prune48.0ms (0.6%)

localize17.0ms (0.2%)

series333.0ms (4.2%)

rewrite71.0ms (0.9%)

simplify110.0ms (1.4%)

localize5.0ms (0.1%)

localize11.0ms (0.1%)

localize7.0ms (0.1%)

localize27.0ms (0.3%)

series58.0ms (0.7%)

rewrite501.0ms (6.3%)

simplify113.0ms (1.4%)

eval132.0ms (1.7%)

prune439.0ms (5.5%)

regimes38.0ms (0.5%)

bsearch0.0ms (0%)

regimes19.0ms (0.2%)

bsearch95.0ms (1.2%)

regimes49.0ms (0.6%)

bsearch571.0ms (7.2%)

regimes15.0ms (0.2%)

bsearch99.0ms (1.2%)

regimes11.0ms (0.1%)

bsearch58.0ms (0.7%)

regimes10.0ms (0.1%)

bsearch100.0ms (1.3%)

regimes4.0ms (0%)

simplify7.0ms (0.1%)

soundness92.0ms (1.2%)

end80.0ms (1%)

Profiling