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)

sample656.0ms (10.7%)

Results

643.0ms

8256×

body

256

valid

Bogosity

preprocess10.0ms (0.2%)

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)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-1`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-17`
2×	`rational.json-simplify-73`
2×	`rational.json-simplify-71`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	16	37
2	19	37
3	23	37
4	23	37

Stop Event

1×

saturated

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)

eval1.0ms (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

48.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) 1)
✓	4.1b	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	17.2b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 50 to 24 computations (52% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(sqrt.f64 (+.f64 (*.f64 x x) 1))
1.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
1.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
0.0ms	x	@	inf	(+.f64 (*.f64 x x) 1)
0.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))

rewrite111.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2054×	`rational.json-1`
2054×	`rational.json-5`
2054×	`rational.json-2`
2054×	`rational.json-3`
2052×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	93	61
2	290	61
3	1117	61
4	4338	61

Stop Event

1×	node limit

Counts

3 → 38

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

simplify179.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1386×	`rational.json-simplify-50`
1264×	`rational.json-simplify-54`
1088×	`rational.json-simplify-43`
1072×	`rational.json-simplify-58`
610×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2290
1	315	2228
2	695	2228
3	2596	2206
4	6090	2206

Stop Event

1×	node limit

Counts

74 → 114

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

eval54.0ms (0.9%)

Compiler: Compiled 3055 to 2023 computations (33.8% saved)

prune201.0ms (3.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	104	10	114
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	11	115

Error

29.2b

Counts

115 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	60.7b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
▶	58.9b	(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 x (fabs.f64 x))) x)
	56.6b	(copysign.f64 (neg.f64 (+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))) x)
	59.1b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
▶	57.0b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	44.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (neg.f64 x) (*.f64 1/2 (/.f64 1 x))))) x)
	49.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)
✓	48.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
▶	44.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x)
	49.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
▶	52.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)

Compiler

Compiled 243 to 173 computations (28.8% saved)

localize49.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 (fabs.f64 x) (-.f64 (neg.f64 x) (*.f64 1/2 (/.f64 1 x))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite237.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational.json-simplify-2`
748×	`rational.json-simplify-47`
682×	`rational.json-simplify-49`
660×	`rational.json-simplify-58`
604×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	106	33
2	339	33
3	1261	33
4	4682	29

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

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

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

simplify242.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational.json-simplify-54`
1168×	`rational.json-simplify-43`
1040×	`rational.json-simplify-41`
734×	`rational.json-simplify-52`
690×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1984
1	345	1984
2	896	1744
3	3490	1744
4	7573	1744

Stop Event

1×	node limit

Counts

64 → 63

Calls

Call 1

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

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

localize26.0ms (0.4%)

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

localize87.0ms (1.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.1b	(log.f64 (+.f64 (fabs.f64 x) 1))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series164.0ms (2.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
97.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) 1))
43.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) 1))
23.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) 1))

rewrite141.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`rational.json-1`
1454×	`rational.json-5`
1454×	`rational.json-2`
1454×	`rational.json-3`
1452×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	67	15
2	213	15
3	833	15
4	3140	15

Stop Event

1×	node limit

Counts

1 → 19

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

simplify245.0ms (4%)

Algorithm

1×	egg-herbie

Rules

986×	`rational.json-simplify-1`
920×	`rational.json-simplify-49`
800×	`rational.json-simplify-111`
640×	`rational.json-simplify-58`
620×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	465
1	84	465
2	285	465
3	1100	465
4	3655	465
5	6147	465

Stop Event

1×	node limit

Counts

31 → 20

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 0 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) 1))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 (fabs.f64 x) 1)))) 1)
(*.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1)))
(*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))))
(*.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (log.f64 (+.f64 (fabs.f64 x) 1)))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (log.f64 (+.f64 (fabs.f64 x) 1))))
(.f64 (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))) (/.f64 (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))))
(.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))) (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))))
(.f64 (.f64 (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))) (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))) (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))))))
(/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) 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 0 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) 1))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 (fabs.f64 x) 1)))) 1)
(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 (log.f64 (+.f64 (fabs.f64 x) 1)) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(*.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (log.f64 (+.f64 (fabs.f64 x) 1)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (log.f64 (+.f64 (fabs.f64 x) 1))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))) (/.f64 (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))) (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (.f64 (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))) (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1)))) (.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))) (.f64 (log.f64 (+.f64 (fabs.f64 x) 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 (log.f64 (+.f64 (fabs.f64 x) 1)) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (log.f64 (+.f64 (fabs.f64 x) 1))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))
(neg.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) 1))))
(log.f64 (+.f64 1 (fabs.f64 x)))

localize20.0ms (0.3%)

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

localize39.0ms (0.6%)

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

eval124.0ms (2%)

Compiler: Compiled 1790 to 1169 computations (34.7% saved)

prune39.0ms (0.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	5	5
Picked	0	1	1
Done	3	2	5
Total	82	12	94

Error

29.2b

Counts

94 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.0b	(copysign.f64 (-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 (fabs.f64 x) 1)))) 1) x)
	60.7b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
✓	58.9b	(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 x (fabs.f64 x))) x)
▶	56.6b	(copysign.f64 (neg.f64 (+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))) x)
▶	59.1b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
	44.0b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	44.0b	(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))) x)) x)
	49.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)
✓	48.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
	49.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	52.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
▶	57.0b	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 240 to 174 computations (27.5% saved)

localize46.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (-.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))) x)

Compiler

Compiled 56 to 36 computations (35.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite118.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1976×	`rational.json-5`
1974×	`rational.json-1`
1974×	`rational.json-2`
1974×	`rational.json-4`
1974×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	94	29
2	309	29
3	1177	29
4	4269	29

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify273.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

944×	`rational.json-simplify-45`
882×	`rational.json-simplify-47`
866×	`rational.json-simplify-42`
760×	`rational.json-simplify-111`
642×	`rational.json-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	65	1060
1	115	1060
2	253	1060
3	1004	1060
4	3561	1060
5	6430	932

Stop Event

1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize13.0ms (0.2%)

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

localize28.0ms (0.5%)

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

localize26.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.1b	(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 (fabs.f64 x) 1)))) 1)
	4.1b	(log.f64 (+.f64 (fabs.f64 x) 1))

Compiler

Compiled 56 to 41 computations (26.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite93.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1952×	`rational.json-1`
1952×	`rational.json-5`
1952×	`rational.json-2`
1952×	`rational.json-3`
1950×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	123	15
2	364	15
3	1184	15
4	4406	15

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 (fabs.f64 x) 1)))) 1)

Outputs

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

simplify239.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1534×	`rational.json-simplify-58`
1082×	`rational.json-simplify-1`
964×	`rational.json-simplify-47`
724×	`exponential.json-simplify-26`
700×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	510
1	72	510
2	193	510
3	930	510
4	3748	510
5	6293	510

Stop Event

1×	node limit

Counts

34 → 24

Calls

Call 1

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

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

eval31.0ms (0.5%)

Compiler: Compiled 1508 to 1028 computations (31.8% saved)

prune22.0ms (0.4%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	4	4
Picked	1	0	1
Done	0	7	7
Total	79	12	91

Error

29.2b

Counts

91 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.0b	(copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) -1) x)
▶	60.7b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
✓	58.9b	(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 x (fabs.f64 x))) x)
✓	56.6b	(copysign.f64 (neg.f64 (+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 x)))) x)
✓	59.1b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
▶	44.0b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	44.0b	(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))) x)) x)
▶	49.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)
✓	48.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
▶	49.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	52.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
✓	57.0b	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 195 to 141 computations (27.7% saved)

localize11.0ms (0.2%)

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

localize9.0ms (0.2%)

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

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.1b	(+.f64 (+.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) -1)
	4.1b	(log.f64 (+.f64 (fabs.f64 x) 1))

Compiler

Compiled 42 to 29 computations (31% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`rational.json-1`
1706×	`rational.json-5`
1706×	`rational.json-2`
1706×	`rational.json-3`
1704×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	94	15
2	278	15
3	1021	15
4	3799	15

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify156.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1288×	`rational.json-simplify-47`
1088×	`rational.json-simplify-49`
868×	`rational.json-simplify-2`
780×	`rational.json-simplify-50`
718×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	420
1	69	420
2	241	420
3	1298	420
4	5447	420

Stop Event

1×	node limit

Counts

28 → 17

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

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

localize24.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.6b	(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))

Compiler

Compiled 55 to 36 computations (34.5% saved)

series0.0ms (0%)

Counts

1 → 10

Calls

3 calls:

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

rewrite96.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`rational.json-5`
1978×	`rational.json-1`
1978×	`rational.json-2`
1978×	`rational.json-4`
1978×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	94	29
2	290	29
3	1123	29
4	4244	29

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify268.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational.json-simplify-47`
1078×	`rational.json-simplify-49`
902×	`exponential.json-simplify-26`
882×	`rational.json-simplify-1`
872×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	489
1	61	489
2	191	489
3	1167	489
4	5057	489
5	7784	489

Stop Event

1×	node limit

Counts

21 → 20

Calls

Call 1

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

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

localize35.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
✓	4.1b	(log.f64 (+.f64 1 (fabs.f64 x)))
✓	17.2b	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))

Compiler

Compiled 71 to 47 computations (33.8% saved)

series42.0ms (0.7%)

Counts

3 → 3

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(log.f64 (+.f64 1 (fabs.f64 x)))
1.0ms	x	@	-inf	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
1.0ms	x	@	inf	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
1.0ms	x	@	0	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
0.0ms	x	@	inf	(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))

rewrite134.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`rational.json-simplify-2`
694×	`rational.json-simplify-47`
652×	`rational.json-simplify-58`
598×	`rational.json-1`
598×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	117	87
2	344	87
3	1276	87
4	4732	87

Stop Event

1×	node limit

Counts

3 → 83

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))))

Outputs

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simplify229.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1010×	`exponential.json-simplify-26`
740×	`rational.json-simplify-2`
724×	`rational.json-simplify-47`
672×	`rational.json-simplify-44`
634×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	169	2914
1	356	2822
2	1074	2822
3	3721	2822
4	7248	2822

Stop Event

1×	node limit

Counts

86 → 102

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

eval93.0ms (1.5%)

Compiler: Compiled 5127 to 3569 computations (30.4% saved)

prune44.0ms (0.7%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	148	11	159
Fresh	0	0	0
Picked	0	1	1
Done	5	6	11
Total	153	18	171

Error

29.2b

Counts

171 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	52.0b	(copysign.f64 (-.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2) x)
	60.7b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 1 (fabs.f64 x))))) 1)) x)
✓	60.7b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	62.7b	(copysign.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 (/.f64 1 (/.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 1 (fabs.f64 x))))) (.f64 (.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 (fabs.f64 x))) (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	61.9b	(copysign.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 2 (.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 1/2)) (.f64 1/4 (*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	61.9b	(copysign.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (/.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 1 (fabs.f64 x)))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	61.9b	(copysign.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 4)) (/.f64 1/2 (*.f64 2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	62.7b	(copysign.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (.f64 (.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 1/4))) 1/4)) (/.f64 (/.f64 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 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) 1/4))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	63.2b	(copysign.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (.f64 (.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 (fabs.f64 x))) (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) (.f64 (.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 (fabs.f64 x))) (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (/.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 1 (fabs.f64 x))))) (.f64 (.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 (fabs.f64 x))) (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	60.9b	(copysign.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) x)
	49.9b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
✓	44.0b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	44.0b	(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))) x)) x)
✓	49.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)
✓	48.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
✓	52.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
✓	57.0b	(copysign.f64 (log.f64 (neg.f64 x)) x)
	59.1b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 573 to 410 computations (28.4% saved)

regimes65.0ms (1.1%)

Counts

27 → 3

Calls

Call 1

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

Outputs

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

(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 1 (fabs.f64 x))))) 1)) x)

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

Calls

2 calls:

31.0ms	x
18.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
29.9b	2	`x`
29.2b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 662 to 445 computations (32.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	12.562273733082977
0.0ms	-15.217239550931227	-0.0005505261056977005

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes41.0ms (0.7%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

22.0ms	x
13.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
29.9b	2	`x`
29.2b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 214 to 135 computations (36.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	12.562273733082977
0.0ms	-15.217239550931227	-0.0005505261056977005

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes44.0ms (0.7%)

Counts

19 → 3

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (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 (fabs.f64 x) (neg.f64 x))) x)
(copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1))) -1) x)
(copysign.f64 (-.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) 2) 2) x)
(copysign.f64 (neg.f64 (+.f64 (/.f64 x (fabs.f64 x)) (log.f64 (/.f64 -1 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 x (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)
(copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))) x)) x)
(copysign.f64 (-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 (fabs.f64 x) 1)))) 1) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (neg.f64 x) (*.f64 1/2 (/.f64 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Outputs

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

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

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

Calls

2 calls:

24.0ms	x
14.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
29.9b	2	`x`
29.4b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 196 to 123 computations (37.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	12.562273733082977
0.0ms	-15.217239550931227	-0.0005505261056977005

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes23.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
29.9b	2	`x`

Compiler

Compiled 131 to 81 computations (38.2% saved)

bsearch92.0ms (1.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
92.0ms	-9.459268048293317e-296	8.346975253142964e-306

Results

90.0ms

112×

body

2048

valid

Compiler

Compiled 178 to 131 computations (26.4% saved)

regimes21.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
29.9b	2	`x`

Compiler

Compiled 118 to 73 computations (38.1% saved)

bsearch96.0ms (1.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
95.0ms	-9.459268048293317e-296	8.346975253142964e-306

Results

93.0ms

112×

body

2048

valid

Compiler

Compiled 129 to 96 computations (25.6% saved)

regimes8.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
39.1b	2	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch266.0ms (4.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
265.0ms	-9.459268048293317e-296	8.346975253142964e-306

Results

263.0ms

144×

body

2048

valid

Compiler

Compiled 143 to 102 computations (28.7% saved)

regimes8.0ms (0.1%)

Accuracy

Total -11.9b remaining (-22.9%)

Threshold costs -11.9b (-22.9%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
52.1b	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch265.0ms (4.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
265.0ms	-9.459268048293317e-296	8.346975253142964e-306

Results

262.0ms

160×

body

2048

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	858

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) -10) (copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 0) (copysign.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 1 (fabs.f64 x))))) 1)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 0) (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 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 0) (copysign.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 0) (copysign.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 1 (fabs.f64 x))))) 1)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 0) (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 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (-.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 0) (copysign.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (fabs.f64 x) -1))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x)))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

Compiler

Compiled 300 to 200 computations (33.3% saved)

soundness236.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1386×	`rational.json-simplify-50`
1264×	`rational.json-simplify-54`
1088×	`rational.json-simplify-43`
1072×	`rational.json-simplify-58`
610×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2290
1	315	2228
2	695	2228
3	2596	2206
4	6090	2206

Stop Event

1×	node limit

Compiler

Compiled 45 to 31 computations (31.1% saved)

end150.0ms (2.4%)

Compiler: Compiled 293 to 184 computations (37.2% saved)

Details

analyze0.0ms (0%)

sample656.0ms (10.7%)

preprocess10.0ms (0.2%)

simplify16.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize22.0ms (0.4%)

series6.0ms (0.1%)

rewrite111.0ms (1.8%)

simplify179.0ms (2.9%)

eval54.0ms (0.9%)

prune201.0ms (3.3%)

localize49.0ms (0.8%)

series1.0ms (0%)

rewrite237.0ms (3.9%)

simplify242.0ms (3.9%)

localize26.0ms (0.4%)

localize87.0ms (1.4%)

series164.0ms (2.7%)

rewrite141.0ms (2.3%)

simplify245.0ms (4%)

localize20.0ms (0.3%)

localize39.0ms (0.6%)

eval124.0ms (2%)

prune39.0ms (0.6%)

localize46.0ms (0.8%)

series1.0ms (0%)

rewrite118.0ms (1.9%)

simplify273.0ms (4.4%)

localize7.0ms (0.1%)

localize13.0ms (0.2%)

localize28.0ms (0.5%)

localize26.0ms (0.4%)

series0.0ms (0%)

rewrite93.0ms (1.5%)

simplify239.0ms (3.9%)

eval31.0ms (0.5%)

prune22.0ms (0.4%)

localize11.0ms (0.2%)

localize9.0ms (0.2%)

localize22.0ms (0.4%)

series0.0ms (0%)

rewrite89.0ms (1.4%)

simplify156.0ms (2.5%)

localize24.0ms (0.4%)

series0.0ms (0%)

rewrite96.0ms (1.6%)

simplify268.0ms (4.4%)

localize35.0ms (0.6%)

series42.0ms (0.7%)

rewrite134.0ms (2.2%)

simplify229.0ms (3.7%)

eval93.0ms (1.5%)

prune44.0ms (0.7%)

regimes65.0ms (1.1%)

bsearch1.0ms (0%)

regimes41.0ms (0.7%)

bsearch1.0ms (0%)

regimes44.0ms (0.7%)

bsearch1.0ms (0%)

regimes23.0ms (0.4%)

bsearch92.0ms (1.5%)

regimes21.0ms (0.3%)

bsearch96.0ms (1.6%)

regimes8.0ms (0.1%)

bsearch266.0ms (4.3%)

regimes8.0ms (0.1%)

bsearch265.0ms (4.3%)

simplify12.0ms (0.2%)

soundness236.0ms (3.8%)

end150.0ms (2.4%)

Profiling