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)

sample676.0ms (12%)

Results

662.0ms

8256×

body

256

valid

Bogosity

preprocess3.0ms (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)

simplify91.0ms (1.6%)

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

42.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.7b	(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 (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	3.0b	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	12.3b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 50 to 24 computations (52% saved)

series4.0ms (0.1%)

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	@	0	(sqrt.f64 (+.f64 (*.f64 x x) 1))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite70.0ms (1.2%)

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 (1.5%)

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))))

eval56.0ms (1%)

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

prune29.0ms (0.5%)

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

29.0b

Counts

156 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	59.7b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
▶	57.8b	(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) x)
	58.0b	(copysign.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x)))) x)
	58.1b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
▶	58.3b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
	47.5b	(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x)
▶	46.9b	(copysign.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)
▶	47.7b	(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
✓	42.7b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
	47.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
▶	51.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)

Compiler

Compiled 243 to 173 computations (28.8% saved)

localize21.0ms (0.4%)

Compiler: Compiled 52 to 29 computations (44.2% saved)

localize12.0ms (0.2%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(log.f64 (+.f64 (fabs.f64 x) 1))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series49.0ms (0.9%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) 1))
15.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) 1))
14.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) 1))

rewrite55.0ms (1%)

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)))))

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)))))

simplify121.0ms (2.1%)

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)))

localize9.0ms (0.2%)

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

localize19.0ms (0.3%)

Compiler: Compiled 43 to 24 computations (44.2% saved)

eval4.0ms (0.1%)

Compiler: Compiled 173 to 124 computations (28.3% saved)

prune9.0ms (0.2%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	5	5
Picked	0	1	1
Done	0	5	5
Total	16	11	27

Error

29.0b

Counts

27 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.7b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
✓	57.8b	(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) x)
▶	58.0b	(copysign.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x)))) x)
▶	58.1b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
✓	58.3b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	47.5b	(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x)
✓	46.9b	(copysign.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)
✓	47.7b	(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
✓	42.7b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
▶	47.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	51.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)

Compiler

Compiled 191 to 136 computations (28.8% saved)

localize8.0ms (0.1%)

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

localize12.0ms (0.2%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

localize20.0ms (0.4%)

Compiler: Compiled 47 to 24 computations (48.9% saved)

localize21.0ms (0.4%)

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

localize28.0ms (0.5%)

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))))
✓	3.0b	(log.f64 (+.f64 1 (fabs.f64 x)))
✓	12.4b	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))

Compiler

Compiled 71 to 47 computations (33.8% saved)

series30.0ms (0.5%)

Counts

4 → 3

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	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	@	0	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
1.0ms	x	@	inf	(/.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))))

rewrite68.0ms (1.2%)

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)))))

simplify115.0ms (2%)

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)))

eval34.0ms (0.6%)

Compiler: Compiled 1918 to 1361 computations (29% saved)

prune24.0ms (0.4%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	1	0	1
Done	2	8	10
Total	89	13	102

Error

29.0b

Counts

102 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.9b	(copysign.f64 (+.f64 (/.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)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
▶	59.7b	(copysign.f64 (+.f64 (/.f64 1/2 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
▶	59.7b	(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)
▶	59.7b	(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)
▶	60.4b	(copysign.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) x)
✓	58.1b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
✓	58.3b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
✓	47.5b	(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x)
✓	46.9b	(copysign.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)
✓	47.7b	(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
✓	42.7b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
✓	47.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	51.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)

Compiler

Compiled 317 to 235 computations (25.9% saved)

localize151.0ms (2.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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))
✓	0.0b	(pow.f64 (-.f64 (fabs.f64 x) -1) 2)
	12.4b	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
✓	15.8b	(log.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))

Compiler

Compiled 101 to 71 computations (29.7% saved)

series73.0ms (1.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	x	@	inf	(log.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))
12.0ms	x	@	-inf	(log.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))
11.0ms	x	@	0	(log.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))
0.0ms	x	@	0	(+.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))
0.0ms	x	@	inf	(+.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))

rewrite100.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`rational.json-1`
1528×	`rational.json-2`
1528×	`rational.json-3`
1524×	`exponential.json-3`
1524×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	133	99
2	294	93
3	830	87
4	4603	87

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs
(log.f64 (pow.f64 (-.f64 (fabs.f64 x) -1) 2))
(pow.f64 (-.f64 (fabs.f64 x) -1) 2)
(+.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))

Outputs

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

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

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

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2378×	`rational.json-simplify-35`
1092×	`rational.json-simplify-2`
984×	`rational.json-simplify-46`
680×	`rational.json-simplify-53`
604×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	2444
1	179	2364
2	394	2360
3	1000	2234
4	2749	2234
5	6080	2234

Stop Event

1×	node limit

Counts

82 → 62

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1)))
✓	12.4b	(/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))

Compiler

Compiled 44 to 29 computations (34.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`exponential.json-3`
1492×	`rational.json-1`
1492×	`rational.json-2`
1492×	`rational.json-4`
1492×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	88	52
2	228	52
3	716	52
4	4542	52

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

simplify157.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-38`
1228×	`rational.json-simplify-51`
1002×	`rational.json-simplify-1`
974×	`rational.json-simplify-2`
642×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	2074
1	310	2074
2	849	2074
3	2952	2074
4	5887	2074

Stop Event

1×	node limit

Counts

80 → 61

Calls

Call 1

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

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

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))) (log.f64 (+.f64 1 (fabs.f64 x))))
✓	0.6b	(/.f64 1/2 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)))
	3.0b	(log.f64 (+.f64 1 (fabs.f64 x)))
✓	12.5b	(/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))

Compiler

Compiled 71 to 47 computations (33.8% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite71.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`rational.json-1`
1702×	`rational.json-2`
1702×	`rational.json-3`
1700×	`rational.json-4`
1696×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	101
1	109	101
2	278	101
3	879	101
4	5088	101

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1220×	`rational.json-simplify-2`
920×	`rational.json-simplify-61`
874×	`rational.json-simplify-35`
758×	`rational.json-simplify-49`
620×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	121	2567
1	263	2563
2	564	2563
3	1449	2563
4	4329	2563
5	7087	2563

Stop Event

1×	node limit

Counts

81 → 64

Calls

Call 1

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

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

localize43.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.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)
✓	0.0b	(/.f64 1/2 (+.f64 1 (fabs.f64 x)))
	3.0b	(log.f64 (+.f64 1 (fabs.f64 x)))
✓	12.4b	(*.f64 (pow.f64 x 2) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))

Compiler

Compiled 111 to 78 computations (29.7% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite70.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational.json-1`
1462×	`rational.json-2`
1462×	`rational.json-3`
1460×	`exponential.json-3`
1460×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	107
1	122	107
2	284	95
3	810	95
4	4453	95

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs

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

(/.f64 1/2 (+.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)

Outputs

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

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

simplify100.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational.json-simplify-2`
1090×	`rational.json-simplify-1`
828×	`rational.json-simplify-51`
686×	`rational.json-simplify-35`
638×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	2383
1	306	2383
2	800	2383
3	3457	2383
4	6631	2383

Stop Event

1×	node limit

Counts

73 → 57

Calls

Call 1

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

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

localize59.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(log.f64 (+.f64 1 (fabs.f64 x)))
	12.4b	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
	12.5b	(/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))
✓	35.6b	(/.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))))

Compiler

Compiled 178 to 121 computations (32% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(/.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))))

0.0ms

inf

(/.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))))

0.0ms

-inf

(/.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))))

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`exponential.json-3`
1268×	`rational.json-1`
1268×	`rational.json-2`
1268×	`rational.json-4`
1268×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	140	85
2	510	85
3	2730	29

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.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))))

Outputs

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

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational.json-simplify-39`
984×	`rational.json-simplify-49`
800×	`rational.json-simplify-41`
796×	`rational.json-simplify-43`
722×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1672
1	199	1660
2	643	1648
3	2815	1572
4	6340	1572

Stop Event

1×	node limit

Counts

44 → 41

Calls

Call 1

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

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

eval203.0ms (3.6%)

Compiler: Compiled 12287 to 8817 computations (28.2% saved)

prune92.0ms (1.6%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	439	14	453
Fresh	0	0	0
Picked	1	0	1
Done	2	10	12
Total	442	24	466

Error

29.0b

Counts

466 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	61.6b	(copysign.f64 (/.f64 (/.f64 (.f64 2 (/.f64 (+.f64 (fabs.f64 x) 1) (pow.f64 x 2))) 4) (.f64 (/.f64 (+.f64 (fabs.f64 x) 1) (pow.f64 x 2)) (/.f64 (+.f64 (fabs.f64 x) 1) (pow.f64 x 2)))) x)
	59.7b	(copysign.f64 (/.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (fabs.f64 x) 1) 2)) (/.f64 (pow.f64 x 2) (+.f64 (fabs.f64 x) 1))) 2) x)
	60.4b	(copysign.f64 (/.f64 1/2 (/.f64 (+.f64 (fabs.f64 x) 1) (pow.f64 x 2))) x)
✓	59.7b	(copysign.f64 (+.f64 (/.f64 1/2 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	59.7b	(copysign.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 (fabs.f64 x))) (.f64 (fabs.f64 x) (/.f64 1 (pow.f64 x 2))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	59.8b	(copysign.f64 (+.f64 (/.f64 1/2 (*.f64 (fabs.f64 x) (/.f64 (+.f64 1 (/.f64 1 (fabs.f64 x))) (pow.f64 x 2)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	60.7b	(copysign.f64 (+.f64 (.f64 (pow.f64 x 2) (/.f64 2 (.f64 (+.f64 1 (fabs.f64 x)) (.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (.f64 4 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	60.9b	(copysign.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (.f64 2 (*.f64 (+.f64 1 (fabs.f64 x)) (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	60.9b	(copysign.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 1/2 (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	60.9b	(copysign.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (.f64 4 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (fabs.f64 x)) (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) 8))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	60.9b	(copysign.f64 (+.f64 (.f64 (/.f64 1 (.f64 4 (.f64 (.f64 (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 1 (fabs.f64 x)) (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/2)))) (+.f64 1 (fabs.f64 x))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	59.7b	(copysign.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 x 2) (.f64 (+.f64 1 (fabs.f64 x)) 4))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	60.7b	(copysign.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (/.f64 (log.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 1 (fabs.f64 x))) 2) (pow.f64 (fabs.f64 x) 2))) 2)) x)
	59.7b	(copysign.f64 (.f64 (/.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (/.f64 (/.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 1 (fabs.f64 (/.f64 -1 x)))) (fabs.f64 x))) 2) 2) x)
✓	60.4b	(copysign.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) x)
	56.2b	(copysign.f64 (*.f64 1/2 (log.f64 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) x)
✓	58.1b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
✓	58.3b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
✓	47.5b	(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 1/2 (/.f64 1 x)))) x)
✓	46.9b	(copysign.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)
✓	47.7b	(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
✓	42.7b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
✓	47.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	51.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)

Compiler

Compiled 516 to 378 computations (26.7% saved)

regimes68.0ms (1.2%)

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

36.0ms	x
17.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
29.2b	3	`x`
29.2b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 632 to 425 computations (32.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.328599787736163e-6	7.739351264862359
0.0ms	-4.514032215775739	-0.00140231959547235

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes52.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

36.0ms	x
11.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
29.2b	3	`x`
29.2b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 228 to 146 computations (36% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.328599787736163e-6	7.739351264862359
0.0ms	-4.514032215775739	-0.00140231959547235

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes32.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

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

Calls

2 calls:

19.0ms	x
10.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
29.4b	3	`x`
29.4b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 150 to 92 computations (38.7% saved)

bsearch4.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	2147.8106773486234	227705.68204695478
2.0ms	-3.838118650103726e+154	-2.2947751019507456e+151

Results

4.0ms

32×

body

256

valid

Compiler

Compiled 70 to 50 computations (28.6% saved)

regimes17.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
30.4b	2	`x`

Compiler

Compiled 125 to 76 computations (39.2% saved)

bsearch68.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
68.0ms	-1.769350646725758e-307	1.746557818537667e-294

Results

66.0ms

96×

body

2048

valid

Compiler

Compiled 203 to 150 computations (26.1% saved)

regimes14.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
30.6b	2	`x`

Compiler

Compiled 100 to 61 computations (39% saved)

bsearch71.0ms (1.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
71.0ms	-1.769350646725758e-307	1.746557818537667e-294

Results

69.0ms

96×

body

2048

valid

Compiler

Compiled 167 to 120 computations (28.1% saved)

regimes12.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
30.8b	2	`x`

Compiler

Compiled 87 to 54 computations (37.9% saved)

bsearch217.0ms (3.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
217.0ms	-1.769350646725758e-307	1.746557818537667e-294

Results

215.0ms

160×

body

2048

valid

Compiler

Compiled 207 to 142 computations (31.4% saved)

regimes62.0ms (1.1%)

Counts

4 → 2

Calls

Call 1

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

Calls

1 calls:

61.0ms

Results

Error	Segments	Branch
40.8b	2	`x`

Compiler

Compiled 31 to 20 computations (35.5% saved)

bsearch141.0ms (2.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
141.0ms	1.3723243232772745e-154	5.859572739358202e-143

Results

139.0ms

160×

body

1024

valid

Compiler

Compiled 197 to 142 computations (27.9% saved)

regimes7.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
51.8b	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Accuracy

Total -11.6b remaining (-22.2%)

Threshold costs -11.6b (-22.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
52.4b	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch68.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
68.0ms	-1.769350646725758e-307	1.746557818537667e-294

Results

67.0ms

96×

body

2048

valid

Compiler

Compiled 125 to 96 computations (23.2% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	942

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) -4) (copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (.f64 1/2 (/.f64 1 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/590295810358705651712) (copysign.f64 (/.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (fabs.f64 x) 1) 2)) (/.f64 (pow.f64 x 2) (+.f64 (fabs.f64 x) 1))) 2) x) (copysign.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -4) (copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (.f64 1/2 (/.f64 1 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/590295810358705651712) (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 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 x -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (if (<=.f64 x 4000) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) (copysign.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (.f64 1/2 (/.f64 1 x)))) x) (copysign.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x))
(if (<=.f64 x -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))
(if (<=.f64 x 120884733920065/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x))
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -4) (copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (.f64 1/2 (/.f64 1 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/590295810358705651712) (copysign.f64 (/.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (fabs.f64 x) 1) 2)) (/.f64 (pow.f64 x 2) (+.f64 (fabs.f64 x) 1))) 2) x) (copysign.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -4) (copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (.f64 1/2 (/.f64 1 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/590295810358705651712) (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 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 x -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (if (<=.f64 x 4000) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) (copysign.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x)))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (.f64 1/2 (/.f64 1 x)))) x) (copysign.f64 (log.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))) x))
(if (<=.f64 x -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))
(if (<=.f64 x 120884733920065/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x))
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)

Compiler

Compiled 328 to 218 computations (33.5% saved)

soundness818.0ms (14.5%)

Algorithm

2×	egg-herbie

Rules

1606×	`rational.json-simplify-35`
1088×	`rational.json-simplify-2`
1018×	`rational.json-simplify-40`
934×	`rational.json-simplify-1`
928×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	2813
1	402	2743
2	821	2743
3	1924	2721
4	4993	2721
0	140	2226
1	352	2226
2	969	2226
3	4223	2226
4	6456	2226

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 105 to 75 computations (28.6% saved)

end656.0ms (11.6%)

Compiler: Compiled 319 to 178 computations (44.2% saved)

Details

analyze0.0ms (0%)

sample676.0ms (12%)

preprocess3.0ms (0.1%)

simplify91.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

rewrite70.0ms (1.2%)

simplify87.0ms (1.5%)

eval56.0ms (1%)

prune29.0ms (0.5%)

localize21.0ms (0.4%)

localize12.0ms (0.2%)

localize11.0ms (0.2%)

series49.0ms (0.9%)

rewrite55.0ms (1%)

simplify121.0ms (2.1%)

localize9.0ms (0.2%)

localize19.0ms (0.3%)

eval4.0ms (0.1%)

prune9.0ms (0.2%)

localize8.0ms (0.1%)

localize12.0ms (0.2%)

localize20.0ms (0.4%)

localize21.0ms (0.4%)

localize28.0ms (0.5%)

series30.0ms (0.5%)

rewrite68.0ms (1.2%)

simplify115.0ms (2%)

eval34.0ms (0.6%)

prune24.0ms (0.4%)

localize151.0ms (2.7%)

series73.0ms (1.3%)

rewrite100.0ms (1.8%)

simplify103.0ms (1.8%)

localize17.0ms (0.3%)

series1.0ms (0%)

rewrite64.0ms (1.1%)

simplify157.0ms (2.8%)

localize28.0ms (0.5%)

series1.0ms (0%)

rewrite71.0ms (1.3%)

simplify117.0ms (2.1%)

localize43.0ms (0.8%)

series2.0ms (0%)

rewrite70.0ms (1.3%)

simplify100.0ms (1.8%)

localize59.0ms (1.1%)

series0.0ms (0%)

rewrite56.0ms (1%)

simplify86.0ms (1.5%)

eval203.0ms (3.6%)

prune92.0ms (1.6%)

regimes68.0ms (1.2%)

bsearch1.0ms (0%)

regimes52.0ms (0.9%)

bsearch0.0ms (0%)

regimes32.0ms (0.6%)

bsearch4.0ms (0.1%)

regimes17.0ms (0.3%)

bsearch68.0ms (1.2%)

regimes14.0ms (0.3%)

bsearch71.0ms (1.3%)

regimes12.0ms (0.2%)

bsearch217.0ms (3.9%)

regimes62.0ms (1.1%)

bsearch141.0ms (2.5%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch68.0ms (1.2%)

simplify11.0ms (0.2%)

soundness818.0ms (14.5%)

end656.0ms (11.6%)

Profiling