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)

sample1.0s (16.9%)

Results

1.0s

8256×

body

256

valid

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-3`
4×	`rational_best-simplify-102`
2×	`rational_best-simplify-125`
2×	`rational_best-simplify-21`
2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	18	37
2	21	37
3	27	37
4	27	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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

45.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.9b	(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)

localize77.0ms (1.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.9b	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	14.2b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 50 to 24 computations (52% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`rational_best-simplify-47`
646×	`rational_best-4`
646×	`rational_best-2`
646×	`rational_best-3`
646×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	73	48
2	145	48
3	418	48
4	1622	48

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) (+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) (/.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 3) 4))))) (#(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 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2)) 2) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) 1))) 4))))) (#(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 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) 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 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4) (+.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4) (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4) (/.f64 (/.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4) (/.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 3) 4))))) (#(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 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) (/.f64 (.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 3) 2) 2) (/.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)))) 4))))) (#(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 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x))) 1)))))

Outputs

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

simplify113.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1412×	`rational_best-simplify-75`
1310×	`rational_best-simplify-76`
1120×	`rational_best-simplify-56`
932×	`rational_best-simplify-3`
802×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	2608
1	494	2552
2	1165	2450
3	4374	2436

Stop Event

1×	node limit

Counts

76 → 131

Calls

Call 1

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

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

eval50.0ms (0.8%)

Compiler: Compiled 3129 to 2105 computations (32.7% saved)

prune58.0ms (0.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	119	12	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	13	132

Error

30.2b

Counts

132 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	58.5b	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
	60.8b	(copysign.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 (pow.f64 x 4) -1/24)))) x)
	60.2b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	57.5b	(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) x)
	57.8b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
▶	58.7b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	48.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (neg.f64 x) (/.f64 1/2 x)))) x)
	46.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
▶	46.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2)))) x)
✓	45.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
▶	48.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x)
	46.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
▶	52.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)

Compiler

Compiled 353 to 253 computations (28.3% saved)

localize127.0ms (2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))
✓	2.9b	(log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))))
✓	14.2b	(sqrt.f64 (+.f64 2 (*.f64 x (+.f64 x x))))

New

Error

Program

✓

0.7b

(*.f64 (sqrt.f64 (+.f64 2 (*.f64 x (+.f64 x x)))) (sqrt.f64 1/2))

✓

2.9b

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

✓

14.2b

(sqrt.f64 (+.f64 2 (*.f64 x (+.f64 x x))))

Compiler

Compiled 88 to 43 computations (51.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite239.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`rational_best-simplify-63`
734×	`rational_best-simplify-48`
732×	`rational_best-simplify-52`
682×	`rational_best-4`
682×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	95
1	104	95
2	202	95
3	515	71
4	1857	71

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Inputs

(sqrt.f64 (+.f64 2 (*.f64 x (+.f64 x x))))

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

(*.f64 (sqrt.f64 (+.f64 2 (*.f64 x (+.f64 x x)))) (sqrt.f64 1/2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) (/.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) (/.f64 (.f64 -2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 1/2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 1/2) 4) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2) (/.f64 (.f64 -2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 3) 2) 2) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) 2) (/.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 1 (.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4) (.f64 (sqrt.f64 1/2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (*.f64 x x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 1/2) (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 1/2) (/.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 1/2) (/.f64 (*.f64 -2 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 (+.f64 2 (*.f64 x (*.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 1/2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (*.f64 x (*.f64 x 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (*.f64 x (*.f64 x 4))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 4)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (*.f64 x (*.f64 x 4))))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (*.f64 x (*.f64 x 4))))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2)) 2) (/.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (+.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 x x)))) 4) (*.f64 (sqrt.f64 1/2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (*.f64 x x)))))))

simplify150.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational_best-simplify-56`
814×	`rational_best-simplify-108`
764×	`rational_best-simplify-50`
672×	`rational_best-simplify-1`
672×	`rational_best-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	310	4129
1	900	3883
2	2254	3781
3	7110	3757

Stop Event

1×	node limit

Counts

101 → 194

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 3))) (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 2) 5))))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5)))) (.f64 (sqrt.f64 2) x))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5))))))
(log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (.f64 -12 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))) (pow.f64 x 4))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 360 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (+.f64 (.f64 240 (/.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 3)))) (.f64 360 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 5) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))))) (pow.f64 x 6))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (.f64 -12 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))) (pow.f64 x 4))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 -1 (/.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 2))) (+.f64 (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 -1 (/.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 2))) (+.f64 (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) (+.f64 (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x))) (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (fabs.f64 x) (.f64 (pow.f64 (sqrt.f64 2) 3) (sqrt.f64 1/2)))) (.f64 2 (/.f64 (pow.f64 (fabs.f64 x) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (sqrt.f64 1/2) 3))))) (pow.f64 x 3)))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))) (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 -1 (/.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 2))) (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (fabs.f64 x) (.f64 (pow.f64 (sqrt.f64 2) 3) (sqrt.f64 1/2)))) (.f64 2 (/.f64 (pow.f64 (fabs.f64 x) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (sqrt.f64 1/2) 3))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 -1 (/.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 2))) (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 1/2))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 4)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 4)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 6)) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)) (.f64 -1/2 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5)))) (.f64 -1/2 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))))
(.f64 -1 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x))) (.f64 -1 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x))) (.f64 -1/2 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5)))))))
(+.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 0)
(+.f64 0 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2))
(-.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 0)
(-.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) (/.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) -2))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) (/.f64 (.f64 -2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))) 4))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x))))) 4))
(.f64 2 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2))
(.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) 1)
(.f64 1/2 (.f64 2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (*.f64 x 4))))))
(.f64 1 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 2 (sqrt.f64 1/2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) 2))
(.f64 (.f64 2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))) 1/2)
(.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4))
(.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4) 1/4)
(.f64 (.f64 (sqrt.f64 1/2) 4) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) 4))
(.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) 4)) 1/8)
(.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (*.f64 x 4))))) 8))
(.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (*.f64 x 4))))) (sqrt.f64 1/2))
(/.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x))))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4)) 8)
(pow.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1)
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 0)
(+.f64 0 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2))
(-.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 0)
(-.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) -2))
(-.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2) (/.f64 (.f64 -2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))) 4))
(-.f64 (/.f64 (/.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 3) 2) 2) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) -2) 2))
(-.f64 (/.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))) 4))
(.f64 1/2 (.f64 2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))))
(.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 1)
(.f64 1 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))))
(.f64 (.f64 2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))) 1/2)
(.f64 1/4 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 4))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 4) 1/4)
(.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4)) 1/8)
(/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 1)
(/.f64 (.f64 2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))))) 2)
(/.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 4)) 8)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 0)
(+.f64 0 (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2)))
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))
(-.f64 (/.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) 2) (/.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) 4))
(/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 1)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) -1)
(/.f64 (.f64 2 (sqrt.f64 (+.f64 1 (.f64 x x)))) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 4)) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4) (*.f64 (sqrt.f64 1/2) 4)) 16)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(sqrt.f64 (+.f64 1 (*.f64 x x)))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 3))) (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8))) (+.f64 (sqrt.f64 2) (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8))) (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (pow.f64 x 6) (sqrt.f64 32))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8))) (+.f64 (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (pow.f64 x 6) (sqrt.f64 32)))) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 6) (sqrt.f64 32))) (+.f64 (sqrt.f64 2) (.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8))))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x))) (.f64 1/2 (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) x) 3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x))) (/.f64 1/2 (*.f64 (sqrt.f64 8) (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5)))) (.f64 (sqrt.f64 2) x))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 32) (pow.f64 x 5)))))) (.f64 1/2 (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) x) 3))))
(-.f64 (+.f64 (.f64 1 (/.f64 (/.f64 1/2 (pow.f64 x 5)) (sqrt.f64 32))) (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x)))) (.f64 1/2 (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x))) (/.f64 1/2 (.f64 (sqrt.f64 32) (pow.f64 x 5)))) (/.f64 1/2 (.f64 (sqrt.f64 8) (pow.f64 x 3))))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 x (.f64 (sqrt.f64 2) -1))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -1)) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 1 (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) x) 3))) (.f64 x (.f64 (sqrt.f64 2) -1))) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) x) 3))) (.f64 (sqrt.f64 2) (neg.f64 x))) (/.f64 1 (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 8) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (neg.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (/.f64 1/2 (.f64 (sqrt.f64 8) (pow.f64 x 3))) (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (*.f64 (sqrt.f64 2) x))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) x) 3))) (.f64 x (.f64 (sqrt.f64 2) -1))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 32) (pow.f64 x 5))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (.f64 (sqrt.f64 2) x) 3))) (.f64 (sqrt.f64 2) (neg.f64 x))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (*.f64 1 (/.f64 (/.f64 1/2 (pow.f64 x 5)) (sqrt.f64 32)))))
(+.f64 (/.f64 -1 (.f64 (sqrt.f64 2) x)) (-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 8) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (neg.f64 x))) (/.f64 1/2 (.f64 (sqrt.f64 32) (pow.f64 x 5)))))
(-.f64 (/.f64 1/2 (.f64 (sqrt.f64 8) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x))) (/.f64 1/2 (.f64 (sqrt.f64 32) (pow.f64 x 5)))))
(log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (/.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (.f64 -12 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))) (pow.f64 x 4))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 -12 (/.f64 1/4 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 (sqrt.f64 1/2) (/.f64 -12 (*.f64 (sqrt.f64 8) (+.f64 1 (fabs.f64 x)))))) 1/24)) (log.f64 (+.f64 1 (fabs.f64 x)))))
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(+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (pow.f64 (.f64 (sqrt.f64 2) x) 3))) (+.f64 (.f64 -1 (.f64 x 1)) (.f64 (sqrt.f64 1/2) (/.f64 -1/2 (.f64 (sqrt.f64 32) (pow.f64 x 5)))))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (pow.f64 (.f64 (sqrt.f64 2) x) 3))) (+.f64 (neg.f64 x) (.f64 (sqrt.f64 1/2) (/.f64 -1/2 (*.f64 (sqrt.f64 32) (pow.f64 x 5)))))))
(+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 8) (pow.f64 x 3))) (/.f64 -1/2 (.f64 (sqrt.f64 32) (pow.f64 x 5))))) (-.f64 (neg.f64 x) (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 0)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(+.f64 0 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(-.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 0)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) (/.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) -2))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) (/.f64 (.f64 -2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))) 4))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) -2) 2))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x))))) 4))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 2 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) 1)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 1/2 (.f64 2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (*.f64 x 4))))))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 x (*.f64 x 4)) 4)))
(sqrt.f64 (.f64 1/2 (+.f64 4 (.f64 x (*.f64 x 4)))))
(.f64 1 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 (.f64 2 (sqrt.f64 1/2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) 2))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 x (*.f64 x 4)) 4)))
(sqrt.f64 (.f64 1/2 (+.f64 4 (.f64 x (*.f64 x 4)))))
(.f64 (.f64 2 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))) 1/2)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1/2) 2)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 1/4 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4))
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4) 1/4)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 (.f64 (sqrt.f64 1/2) 4) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) 4))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 x (*.f64 x 4)) 4)))
(sqrt.f64 (.f64 1/2 (+.f64 4 (.f64 x (*.f64 x 4)))))
(.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) 4)) 1/8)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (*.f64 x 4))))) 8))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 x (*.f64 x 4)) 4)))
(sqrt.f64 (.f64 1/2 (+.f64 4 (.f64 x (*.f64 x 4)))))
(.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (*.f64 x 4))))) (sqrt.f64 1/2))
(sqrt.f64 (.f64 1/2 (+.f64 (.f64 x (*.f64 x 4)) 4)))
(sqrt.f64 (.f64 1/2 (+.f64 4 (.f64 x (*.f64 x 4)))))
(/.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x))))) 2)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x)))) 4) 4)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4)) 8)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(pow.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 1)
(sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 0)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 0 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 0)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) -2))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2) (/.f64 (.f64 -2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))) 4))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 3) 2) 2) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) -2) 2))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))) 4))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 1/2 (.f64 2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 1)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 1 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))) 1/2)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 1/4 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 4))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 4) 1/4)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4)) 1/8)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 1)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (.f64 2 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))))) 2)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4) 4)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 4)) 8)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 1)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(+.f64 0 (sqrt.f64 (+.f64 1 (*.f64 x x))))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2)))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) 2) (/.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -2) 2))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) 4))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) -1)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(/.f64 (.f64 2 (sqrt.f64 (+.f64 1 (.f64 x x)))) 2)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4) 4)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 4)) 8)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 x x)))) 4) (*.f64 (sqrt.f64 1/2) 4)) 16)
(/.f64 (.f64 4 (.f64 (sqrt.f64 1/2) (.f64 4 (sqrt.f64 (.f64 2 (+.f64 1 (*.f64 x x))))))) 16)
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 2 (+.f64 1 (.f64 x x))) 1/2)) 16) 16)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(sqrt.f64 (+.f64 1 (*.f64 x x)))

localize12.0ms (0.2%)

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(log.f64 (+.f64 (fabs.f64 x) 1))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series72.0ms (1.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
42.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) 1))
16.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) 1))
14.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) 1))

rewrite100.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`rational_best-4`
1752×	`rational_best-2`
1752×	`rational_best-3`
1752×	`rational_best-1`
560×	`rational_best-simplify-83`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	107	15
3	271	15
4	879	15
5	5236	15

Stop Event

1×	node limit

Counts

1 → 26

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 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4))))) (#(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 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)) (-.f64 0 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))))

simplify172.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational_best-simplify-51`
1002×	`rational_best-simplify-57`
994×	`rational_best-simplify-1`
960×	`rational_best-simplify-64`
874×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	570
1	135	570
2	369	570
3	1757	570
4	7862	570

Stop Event

1×	node limit

Counts

38 → 27

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

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

localize9.0ms (0.1%)

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

localize18.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (fabs.f64 x) (-.f64 (neg.f64 x) (/.f64 1/2 x)))

Compiler

Compiled 47 to 24 computations (48.9% 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 x)))
0.0ms	x	@	inf	(+.f64 (fabs.f64 x) (-.f64 (neg.f64 x) (/.f64 1/2 x)))
0.0ms	x	@	-inf	(+.f64 (fabs.f64 x) (-.f64 (neg.f64 x) (/.f64 1/2 x)))

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`rational_best-4`
1070×	`rational_best-2`
1070×	`rational_best-3`
1070×	`rational_best-1`
1070×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	71	27
2	161	23
3	526	23
4	2528	23

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

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

Outputs

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

simplify147.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational_best-simplify-85`
750×	`rational_best-simplify-50`
600×	`rational_best-simplify-63`
552×	`rational_best-simplify-55`
538×	`rational_best-simplify-57`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	2627
1	482	2521
2	1283	1947
3	5172	1909

Stop Event

1×	node limit

Counts

73 → 107

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 x)))
(-.f64 (fabs.f64 x) (+.f64 (neg.f64 (fabs.f64 x)) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))))
(-.f64 (neg.f64 x) (-.f64 (/.f64 1/2 x) (fabs.f64 x)))
(-.f64 (-.f64 (/.f64 -1/2 x) x) (neg.f64 (fabs.f64 x)))
(-.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 0)
(-.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) (+.f64 (/.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) -2) (-.f64 (/.f64 -1/4 x) (/.f64 (-.f64 x (fabs.f64 x)) 2))))
(-.f64 0 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(-.f64 0 (-.f64 (/.f64 1/2 x) (-.f64 (fabs.f64 x) x)))
(-.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))
(-.f64 (*.f64 (fabs.f64 x) 2) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(-.f64 (+.f64 (*.f64 x -2) (/.f64 -1 x)) (+.f64 (-.f64 (/.f64 -1/2 x) x) (neg.f64 (fabs.f64 x))))
(-.f64 (*.f64 x -2) (+.f64 (neg.f64 (fabs.f64 x)) (-.f64 (/.f64 1/2 x) x)))
(-.f64 (*.f64 x -2) (+.f64 (-.f64 (/.f64 1/2 x) (fabs.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 x -2) (+.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 -1/2 x)) (neg.f64 x)))
(-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/2 x))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 -1/2 x)) x)
(-.f64 (.f64 (fabs.f64 x) 4) (+.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))) (.f64 (fabs.f64 x) 2)))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (fabs.f64 x) 2)))
(-.f64 (+.f64 (/.f64 x -2) (/.f64 -1/4 x)) (-.f64 (neg.f64 (fabs.f64 x)) (+.f64 (/.f64 x -2) (/.f64 -1/4 x))))
(-.f64 (/.f64 x -2) (-.f64 (/.f64 x 2) (+.f64 (fabs.f64 x) (/.f64 -1/2 x))))
(-.f64 (/.f64 x -2) (+.f64 (-.f64 (/.f64 1/2 x) (fabs.f64 x)) (/.f64 x 2)))
(-.f64 (-.f64 (/.f64 -1/4 x) (/.f64 (-.f64 x (fabs.f64 x)) 2)) (/.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) -2))
(-.f64 (-.f64 (/.f64 1/2 x) x) (-.f64 (/.f64 1 x) (fabs.f64 x)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 x -2)) (+.f64 (neg.f64 (fabs.f64 x)) (/.f64 x 2)))
(-.f64 (+.f64 (fabs.f64 x) (+.f64 (/.f64 x -2) (/.f64 -1/4 x))) (/.f64 (+.f64 x (/.f64 1/2 x)) 2))
(-.f64 (-.f64 (/.f64 (fabs.f64 x) 2) (+.f64 x (/.f64 1/2 x))) (/.f64 (fabs.f64 x) -2))
(-.f64 (-.f64 (/.f64 (fabs.f64 x) 2) x) (-.f64 (/.f64 1/2 x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (-.f64 (/.f64 x -2) (-.f64 (/.f64 1/2 x) (fabs.f64 x))) (/.f64 x 2))
(-.f64 (-.f64 (*.f64 x -2) (neg.f64 (fabs.f64 x))) (-.f64 (/.f64 1/2 x) x))
(-.f64 (/.f64 -1 x) (+.f64 (-.f64 x (fabs.f64 x)) (/.f64 -1/2 x)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)) (-.f64 x (/.f64 (fabs.f64 x) 2)))
(-.f64 (+.f64 (*.f64 x -2) (/.f64 (fabs.f64 x) 2)) (-.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (+.f64 (+.f64 (fabs.f64 x) (-.f64 -1 x)) (+.f64 (fabs.f64 x) (-.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (fabs.f64 x) (-.f64 -1 x))))
(-.f64 (+.f64 (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x))) (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x)))) (+.f64 (+.f64 x -1) (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x)))))
(-.f64 (+.f64 (-.f64 (fabs.f64 x) x) (-.f64 (fabs.f64 x) x)) (+.f64 (/.f64 1/2 x) (-.f64 (fabs.f64 x) x)))
(-.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 -1/2 x)) (+.f64 (fabs.f64 x) (/.f64 -1/2 x))) (+.f64 x (+.f64 (fabs.f64 x) (/.f64 -1/2 x))))
(.f64 1/2 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 2))
(*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 1)
(*.f64 1 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)))
(*.f64 -1 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(.f64 2 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 1/2))
(.f64 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 2) 1/2)
(*.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)
(.f64 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4))
(.f64 (.f64 2 (*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4)) 1/8)
(/.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 1)
(/.f64 (*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 2) 2)
(/.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)
(/.f64 (*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4)) 8)
(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (neg.f64 (-.f64 (.f64 x -4) (/.f64 2 x)))) 4)
(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (+.f64 (.f64 x 4) (/.f64 2 x))) 4)
(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (.f64 (+.f64 x (/.f64 1/2 x)) 4)) 4)
(/.f64 (-.f64 (-.f64 (.f64 x -4) (/.f64 2 x)) (neg.f64 (.f64 (fabs.f64 x) 4))) 4)
(/.f64 (-.f64 (*.f64 2 (-.f64 (fabs.f64 x) x)) (/.f64 1 x)) 2)
(/.f64 (-.f64 (+.f64 (.f64 x -4) (.f64 (fabs.f64 x) 4)) (/.f64 2 x)) 4)
(/.f64 (-.f64 (-.f64 (/.f64 1/2 x) (fabs.f64 x)) (neg.f64 x)) -1)
(pow.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 1)
(neg.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(neg.f64 (-.f64 (/.f64 1/2 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 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (fabs.f64 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 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 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 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 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 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 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 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 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 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 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 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 (neg.f64 (fabs.f64 x)) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (neg.f64 x) (-.f64 (/.f64 1/2 x) (fabs.f64 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (-.f64 (/.f64 -1/2 x) x) (neg.f64 (fabs.f64 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 0)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) (+.f64 (/.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) -2) (-.f64 (/.f64 -1/4 x) (/.f64 (-.f64 x (fabs.f64 x)) 2))))
(+.f64 (.f64 -3 (+.f64 (/.f64 1/4 x) (.f64 (-.f64 (fabs.f64 x) x) -1/2))) (neg.f64 (-.f64 (/.f64 -1/4 x) (/.f64 (-.f64 x (fabs.f64 x)) 2))))
(+.f64 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 3/2) (-.f64 (/.f64 1/4 x) (neg.f64 (.f64 -1/2 (-.f64 (fabs.f64 x) x)))))
(+.f64 (+.f64 (/.f64 1/4 x) (.f64 -1/2 (-.f64 (fabs.f64 x) x))) (.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))) 3/2))
(-.f64 0 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 0 (-.f64 (/.f64 1/2 x) (-.f64 (fabs.f64 x) x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (*.f64 (fabs.f64 x) 2) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 x -2) (/.f64 -1 x)) (+.f64 (-.f64 (/.f64 -1/2 x) x) (neg.f64 (fabs.f64 x))))
(-.f64 (+.f64 (*.f64 x -2) (/.f64 -1 x)) (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(-.f64 (+.f64 x (fabs.f64 x)) (-.f64 (/.f64 -1/2 x) (+.f64 (*.f64 x -2) (/.f64 -1 x))))
(+.f64 (fabs.f64 x) (-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 x 1/2))))
(+.f64 (fabs.f64 x) (-.f64 x (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(-.f64 (*.f64 x -2) (+.f64 (neg.f64 (fabs.f64 x)) (-.f64 (/.f64 1/2 x) x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (*.f64 x -2) (+.f64 (-.f64 (/.f64 1/2 x) (fabs.f64 x)) (neg.f64 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (*.f64 x -2) (+.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 -1/2 x)) (neg.f64 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/2 x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 -1/2 x)) x)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (.f64 (fabs.f64 x) 4) (+.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))) (.f64 (fabs.f64 x) 2)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (fabs.f64 x) 2)))
(+.f64 (-.f64 (/.f64 (fabs.f64 x) 2) x) (/.f64 (+.f64 (fabs.f64 x) (/.f64 -1 x)) 2))
(-.f64 (+.f64 (/.f64 x -2) (/.f64 -1/4 x)) (-.f64 (neg.f64 (fabs.f64 x)) (+.f64 (/.f64 x -2) (/.f64 -1/4 x))))
(-.f64 (+.f64 (/.f64 -1/4 x) (/.f64 x -2)) (-.f64 (neg.f64 (fabs.f64 x)) (+.f64 (/.f64 -1/4 x) (/.f64 x -2))))
(-.f64 (+.f64 (/.f64 -1/4 x) (/.f64 x -2)) (+.f64 (-.f64 (/.f64 x 2) (fabs.f64 x)) (/.f64 1/4 x)))
(+.f64 (/.f64 -1/4 x) (-.f64 (*.f64 x -1/2) (+.f64 (-.f64 (/.f64 x 2) (fabs.f64 x)) (/.f64 1/4 x))))
(-.f64 (/.f64 x -2) (-.f64 (/.f64 x 2) (+.f64 (fabs.f64 x) (/.f64 -1/2 x))))
(-.f64 (+.f64 (/.f64 -1/2 x) (fabs.f64 x)) (-.f64 (/.f64 x 2) (/.f64 x -2)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) (-.f64 (/.f64 x 2) (/.f64 x -2))))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) (.f64 -2 (.f64 x -1/2))))
(-.f64 (/.f64 x -2) (+.f64 (-.f64 (/.f64 1/2 x) (fabs.f64 x)) (/.f64 x 2)))
(-.f64 (+.f64 (/.f64 -1/2 x) (fabs.f64 x)) (-.f64 (/.f64 x 2) (/.f64 x -2)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) (-.f64 (/.f64 x 2) (/.f64 x -2))))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) (.f64 -2 (.f64 x -1/2))))
(-.f64 (-.f64 (/.f64 -1/4 x) (/.f64 (-.f64 x (fabs.f64 x)) 2)) (/.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) -2))
(-.f64 (/.f64 -1/4 x) (+.f64 (+.f64 (/.f64 1/4 x) (*.f64 (-.f64 (fabs.f64 x) x) -1/2)) (/.f64 (-.f64 x (fabs.f64 x)) 2)))
(-.f64 (-.f64 (/.f64 -1/2 x) (.f64 -1/2 (-.f64 (fabs.f64 x) x))) (.f64 -1/2 (-.f64 (fabs.f64 x) x)))
(-.f64 (/.f64 -1/4 x) (+.f64 (/.f64 1/4 x) (-.f64 x (fabs.f64 x))))
(-.f64 (-.f64 (/.f64 1/2 x) x) (-.f64 (/.f64 1 x) (fabs.f64 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 x -2)) (+.f64 (neg.f64 (fabs.f64 x)) (/.f64 x 2)))
(+.f64 (fabs.f64 x) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 x -2)) (/.f64 x 2)))
(+.f64 (fabs.f64 x) (-.f64 (+.f64 (/.f64 -1/2 x) (*.f64 x -1/2)) (/.f64 x 2)))
(-.f64 (+.f64 (fabs.f64 x) (+.f64 (/.f64 x -2) (/.f64 -1/4 x))) (/.f64 (+.f64 x (/.f64 1/2 x)) 2))
(-.f64 (+.f64 (fabs.f64 x) (+.f64 (/.f64 -1/4 x) (/.f64 x -2))) (/.f64 (+.f64 x (/.f64 1/2 x)) 2))
(-.f64 (+.f64 (fabs.f64 x) (+.f64 (/.f64 -1/4 x) (/.f64 x -2))) (+.f64 (/.f64 x 2) (/.f64 1/4 x)))
(+.f64 (-.f64 (+.f64 (fabs.f64 x) (+.f64 (/.f64 -1/4 x) (/.f64 x -2))) (/.f64 1/4 x)) (/.f64 x -2))
(+.f64 (/.f64 -1/4 x) (-.f64 (+.f64 (fabs.f64 x) (+.f64 (/.f64 -1/4 x) (*.f64 x -1/2))) (/.f64 x 2)))
(-.f64 (-.f64 (/.f64 (fabs.f64 x) 2) (+.f64 x (/.f64 1/2 x))) (/.f64 (fabs.f64 x) -2))
(-.f64 (-.f64 (/.f64 (fabs.f64 x) 2) (+.f64 x (/.f64 1/2 x))) (*.f64 (fabs.f64 x) -1/2))
(-.f64 (/.f64 (fabs.f64 x) 2) (+.f64 (+.f64 x (/.f64 1/2 x)) (*.f64 -1/2 (fabs.f64 x))))
(+.f64 (-.f64 (/.f64 (fabs.f64 x) 2) (*.f64 -1/2 (fabs.f64 x))) (-.f64 (/.f64 -1/2 x) x))
(-.f64 (-.f64 (/.f64 (fabs.f64 x) 2) x) (-.f64 (/.f64 1/2 x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (fabs.f64 x) 2)))
(+.f64 (-.f64 (/.f64 (fabs.f64 x) 2) x) (/.f64 (+.f64 (fabs.f64 x) (/.f64 -1 x)) 2))
(-.f64 (-.f64 (/.f64 x -2) (-.f64 (/.f64 1/2 x) (fabs.f64 x))) (/.f64 x 2))
(-.f64 (+.f64 (/.f64 -1/2 x) (fabs.f64 x)) (-.f64 (/.f64 x 2) (/.f64 x -2)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) (-.f64 (/.f64 x 2) (/.f64 x -2))))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) (.f64 -2 (.f64 x -1/2))))
(-.f64 (-.f64 (*.f64 x -2) (neg.f64 (fabs.f64 x))) (-.f64 (/.f64 1/2 x) x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (/.f64 -1 x) (+.f64 (-.f64 x (fabs.f64 x)) (/.f64 -1/2 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)) (-.f64 x (/.f64 (fabs.f64 x) 2)))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (fabs.f64 x) 2)))
(+.f64 (-.f64 (/.f64 (fabs.f64 x) 2) x) (/.f64 (+.f64 (fabs.f64 x) (/.f64 -1 x)) 2))
(-.f64 (+.f64 (*.f64 x -2) (/.f64 (fabs.f64 x) 2)) (-.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (fabs.f64 x) 2)))
(+.f64 (-.f64 (/.f64 (fabs.f64 x) 2) x) (/.f64 (+.f64 (fabs.f64 x) (/.f64 -1 x)) 2))
(-.f64 (+.f64 (+.f64 (fabs.f64 x) (-.f64 -1 x)) (+.f64 (fabs.f64 x) (-.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (fabs.f64 x) (-.f64 -1 x))))
(+.f64 (-.f64 (+.f64 (fabs.f64 x) (-.f64 -1 x)) (+.f64 -1 (/.f64 1/2 x))) (-.f64 (+.f64 (fabs.f64 x) (-.f64 -1 x)) (+.f64 (fabs.f64 x) (-.f64 -1 x))))
(+.f64 0 (+.f64 (-.f64 (+.f64 (fabs.f64 x) (-.f64 -1 x)) (/.f64 1/2 x)) 1))
(+.f64 (/.f64 -1/2 x) (+.f64 1 (+.f64 (fabs.f64 x) (-.f64 -1 x))))
(-.f64 (+.f64 (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x))) (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x)))) (+.f64 (+.f64 x -1) (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x)))))
(+.f64 (-.f64 (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x))) (+.f64 x -1)) (-.f64 (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x))) (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x)))))
(+.f64 0 (-.f64 (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x))) (+.f64 x -1)))
(+.f64 1 (-.f64 (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x))) x))
(-.f64 (+.f64 (fabs.f64 x) (-.f64 -1 (/.f64 1/2 x))) (+.f64 x -1))
(-.f64 (+.f64 (-.f64 (fabs.f64 x) x) (-.f64 (fabs.f64 x) x)) (+.f64 (/.f64 1/2 x) (-.f64 (fabs.f64 x) x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 -1/2 x)) (+.f64 (fabs.f64 x) (/.f64 -1/2 x))) (+.f64 x (+.f64 (fabs.f64 x) (/.f64 -1/2 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 1/2 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(*.f64 1 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(*.f64 -1 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 2 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 1/2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 2) 1/2)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(*.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4) 1/4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 1/4 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 (.f64 2 (*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4)) 1/8)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 2) 2)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4) 4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 4)) 8)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (neg.f64 (-.f64 (.f64 x -4) (/.f64 2 x)))) 4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (+.f64 (.f64 x 4) (/.f64 2 x))) 4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (.f64 (+.f64 x (/.f64 1/2 x)) 4)) 4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (-.f64 (.f64 x -4) (/.f64 2 x)) (neg.f64 (.f64 (fabs.f64 x) 4))) 4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 2 (-.f64 (fabs.f64 x) x)) (/.f64 1 x)) 2)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (+.f64 (.f64 x -4) (.f64 (fabs.f64 x) 4)) (/.f64 2 x)) 4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (-.f64 (/.f64 1/2 x) (fabs.f64 x)) (neg.f64 x)) -1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(pow.f64 (+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x)) 1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(neg.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(neg.f64 (-.f64 (/.f64 1/2 x) (-.f64 (fabs.f64 x) x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))

eval530.0ms (8.5%)

Compiler: Compiled 7645 to 5507 computations (28% saved)

prune65.0ms (1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	323	5	328
Fresh	1	6	7
Picked	1	0	1
Done	3	2	5
Total	328	13	341

Error

30.2b

Counts

341 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.5b	(copysign.f64 (-.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (log.f64 (/.f64 -1 x))) x)
	60.8b	(copysign.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 (pow.f64 x 4) -1/24)))) x)
	60.2b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
	57.5b	(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) x)
▶	57.8b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
	48.8b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	48.8b	(copysign.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))) x)
▶	46.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
	52.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) x)
✓	45.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
	46.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	52.0b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
▶	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 323 to 233 computations (27.9% saved)

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational_best-simplify-51`
1000×	`rational_best-simplify-57`
776×	`rational_best-simplify-75`
758×	`rational_best-simplify-76`
738×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	64	23
2	142	23
3	423	23
4	1794	23

Stop Event

1×	node limit

Counts

1 → 97

Calls

Call 1

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

Outputs

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

simplify122.0ms (2%)

Algorithm

1×	egg-herbie

Rules

920×	`rational_best-simplify-85`
664×	`rational_best-simplify-57`
644×	`rational_best-simplify-51`
602×	`rational_best-simplify-3`
570×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	276	3209
1	768	3209
2	1633	2649
3	5822	2611

Stop Event

1×	node limit

Counts

109 → 129

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 40 to 18 computations (55% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`rational_best-4`
990×	`rational_best-2`
990×	`rational_best-3`
990×	`rational_best-1`
990×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	63	23
2	153	23
3	514	23
4	2468	23

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

Outputs

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

simplify136.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-57`
1020×	`rational_best-simplify-48`
964×	`rational_best-simplify-52`
874×	`rational_best-simplify-3`
762×	`rational_best-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	2864
1	448	2858
2	1034	2162
3	2976	2138

Stop Event

1×	node limit

Counts

86 → 99

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

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

localize17.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 42 to 19 computations (54.8% saved)

series8.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(-.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (log.f64 (/.f64 -1 x)))
2.0ms	x	@	-inf	(-.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (log.f64 (/.f64 -1 x)))
1.0ms	x	@	inf	(-.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (log.f64 (/.f64 -1 x)))

rewrite88.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`rational_best-4`
1134×	`rational_best-2`
1134×	`rational_best-3`
1134×	`rational_best-1`
1132×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	78	31
2	184	31
3	657	31
4	4004	31

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (neg.f64 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (log.f64 (/.f64 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 x (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (fabs.f64 x)) (-.f64 (*.f64 -2 (/.f64 x (fabs.f64 x))) (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 x (neg.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 (fabs.f64 x) -2)) (-.f64 (/.f64 x (*.f64 (fabs.f64 x) -2)) (log.f64 (/.f64 -1 x))))))) 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simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1136×	`rational_best-simplify-57`
1020×	`rational_best-simplify-1`
984×	`rational_best-simplify-51`
838×	`rational_best-simplify-49`
780×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	2254
1	363	1958
2	1203	1954
3	5466	1940

Stop Event

1×	node limit

Counts

58 → 67

Calls

Call 1

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

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

eval75.0ms (1.2%)

Compiler: Compiled 4862 to 2897 computations (40.4% saved)

prune144.0ms (2.3%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	292	3	295
Fresh	2	4	6
Picked	1	0	1
Done	1	5	6
Total	296	12	308

Error

30.2b

Counts

308 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.9b	(copysign.f64 (/.f64 x (neg.f64 (fabs.f64 x))) x)
	60.8b	(copysign.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 (pow.f64 x 4) -1/24)))) x)
	60.2b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
▶	46.5b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
▶	48.8b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	48.8b	(copysign.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))) x)
✓	46.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
▶	52.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) x)
✓	45.9b	(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)
✓	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	57.8b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 249 to 181 computations (27.3% saved)

localize9.0ms (0.2%)

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

localize5.0ms (0.1%)

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

localize9.0ms (0.1%)

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

localize35.0ms (0.6%)

Compiler: Compiled 19 to 5 computations (73.7% saved)

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (sqrt.f64 2) (sqrt.f64 1/2))
✓	2.9b	(log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))

Compiler

Compiled 43 to 34 computations (20.9% saved)

series73.0ms (1.2%)

Counts

2 → 0

Calls

3 calls:

Time

Variable

Point

Expression

31.0ms

inf

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

29.0ms

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

12.0ms

-inf

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

rewrite112.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`rational_best-2`
1884×	`rational_best-3`
1884×	`rational_best-1`
654×	`rational_best-simplify-83`
470×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	89	16
2	149	16
3	342	16
4	1095	16
5	5891	16

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

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 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4))))) (#(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 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)) (-.f64 0 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (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 1 (log.f64 (+.f64 (fabs.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log.f64 (+.f64 (fabs.f64 x) 1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (+.f64 (fabs.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify160.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1286×	`rational_best-simplify-3`
1262×	`rational_best-simplify-51`
984×	`rational_best-simplify-57`
960×	`rational_best-simplify-64`
854×	`rational_best-simplify-83`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	391
1	135	391
2	412	391
3	1884	391
4	7603	391

Stop Event

1×	node limit

Counts

27 → 28

Calls

Call 1

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

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

eval7.0ms (0.1%)

Compiler: Compiled 384 to 279 computations (27.3% saved)

prune13.0ms (0.2%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	2	2
Picked	0	1	1
Done	0	9	9
Total	28	12	40

Error

30.2b

Counts

40 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.9b	(copysign.f64 (/.f64 x (neg.f64 (fabs.f64 x))) x)
	60.8b	(copysign.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 (pow.f64 x 4) -1/24)))) x)
	60.2b	(copysign.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))) x)
✓	46.5b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
✓	48.8b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	48.8b	(copysign.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))) x)
✓	46.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
✓	52.1b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) x)
✓	45.9b	(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)
✓	58.7b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	57.8b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 150 to 108 computations (28% saved)

regimes100.0ms (1.6%)

Counts

21 → 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 (/.f64 x (neg.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (neg.f64 x) (/.f64 1/2 x)))) x)
(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (-.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2)))) 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 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 (pow.f64 x 4) -1/24)))) x)

Outputs

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

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

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

Calls

2 calls:

82.0ms	x
11.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
30.3b	3	`x`
30.3b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 248 to 151 computations (39.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2704389061180175e-5	18.049450266247877
0.0ms	-12.778703846429346	-4.0814498724928003e-8

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes88.0ms (1.4%)

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

Calls

2 calls:

60.0ms	x
15.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
30.3b	3	`x`
30.3b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 208 to 122 computations (41.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2704389061180175e-5	18.049450266247877
0.0ms	-12.778703846429346	-4.0814498724928003e-8

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes36.0ms (0.6%)

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

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

Calls

2 calls:

21.0ms	x
10.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
31.3b	2	`x`
30.7b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 190 to 110 computations (42.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2704389061180175e-5	18.049450266247877
0.0ms	-inf	-344.27388793069065

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes75.0ms (1.2%)

Counts

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

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

Calls

1 calls:

68.0ms

Results

Error	Segments	Branch
31.3b	2	`x`

Compiler

Compiled 137 to 75 computations (45.3% saved)

bsearch123.0ms (2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
122.0ms	-1.1156717957941069e-303	2.8072045526628633e-306

Results

121.0ms

96×

body

2048

valid

Compiler

Compiled 173 to 120 computations (30.6% saved)

regimes15.0ms (0.2%)

Counts

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
31.4b	2	`x`

Compiler

Compiled 78 to 45 computations (42.3% saved)

bsearch99.0ms (1.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
99.0ms	-1.1156717957941069e-303	2.8072045526628633e-306

Results

97.0ms

96×

body

2048

valid

Compiler

Compiled 143 to 102 computations (28.7% saved)

regimes15.0ms (0.2%)

Counts

10 → 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 (/.f64 x (neg.f64 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.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:

13.0ms

Results

Error	Segments	Branch
31.4b	2	`x`

Compiler

Compiled 67 to 39 computations (41.8% saved)

bsearch75.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
75.0ms	-1.1156717957941069e-303	2.8072045526628633e-306

Results

73.0ms

96×

body

2048

valid

Compiler

Compiled 113 to 84 computations (25.7% 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
42.7b	2	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch75.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
75.0ms	-1.1156717957941069e-303	2.8072045526628633e-306

Results

74.0ms

96×

body

2048

valid

Compiler

Compiled 101 to 72 computations (28.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total -11.4b remaining (-21.7%)

Threshold costs -11.4b (-21.7%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
52.6b	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch161.0ms (2.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
161.0ms	-1.1156717957941069e-303	2.8072045526628633e-306

Results

159.0ms

144×

body

2048

valid

Compiler

Compiled 134 to 93 computations (30.6% saved)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	927

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 -1/2 x) (-.f64 x (fabs.f64 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 7378697629483821/147573952589676412928) (copysign.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 (pow.f64 x 4) -1/24)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 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 -1/2 x) (-.f64 x (fabs.f64 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 7378697629483821/147573952589676412928) (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 x (/.f64 1/2 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -inf.0) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 7378697629483821/147573952589676412928) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (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 -1/2 x) (-.f64 x (fabs.f64 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 7378697629483821/147573952589676412928) (copysign.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 (pow.f64 x 4) -1/24)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 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 -1/2 x) (-.f64 x (fabs.f64 x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 7378697629483821/147573952589676412928) (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 x (/.f64 1/2 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -inf.0) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 7378697629483821/147573952589676412928) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (-.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

Compiler

Compiled 324 to 210 computations (35.2% saved)

soundness452.0ms (7.3%)

Algorithm

3×	egg-herbie

Rules

1412×	`rational_best-simplify-75`
1412×	`rational_best-simplify-75`
1412×	`rational_best-simplify-75`
1310×	`rational_best-simplify-76`
1310×	`rational_best-simplify-76`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	2608
1	494	2552
2	1165	2450
3	4374	2436
0	205	2608
1	494	2552
2	1165	2450
3	4374	2436
0	205	2608
1	494	2552
2	1165	2450
3	4374	2436

Stop Event

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

Compiler

Compiled 370 to 260 computations (29.7% saved)

end302.0ms (4.9%)

Compiler: Compiled 316 to 190 computations (39.9% saved)

Details

analyze0.0ms (0%)

sample1.0s (16.9%)

preprocess5.0ms (0.1%)

simplify16.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize77.0ms (1.2%)

series3.0ms (0%)

rewrite69.0ms (1.1%)

simplify113.0ms (1.8%)

eval50.0ms (0.8%)

prune58.0ms (0.9%)

localize127.0ms (2%)

series6.0ms (0.1%)

rewrite239.0ms (3.8%)

simplify150.0ms (2.4%)

localize12.0ms (0.2%)

localize10.0ms (0.2%)

series72.0ms (1.2%)

rewrite100.0ms (1.6%)

simplify172.0ms (2.8%)

localize9.0ms (0.1%)

localize18.0ms (0.3%)

series1.0ms (0%)

rewrite76.0ms (1.2%)

simplify147.0ms (2.4%)

eval530.0ms (8.5%)

prune65.0ms (1%)

localize20.0ms (0.3%)

series0.0ms (0%)

rewrite73.0ms (1.2%)

simplify122.0ms (2%)

localize7.0ms (0.1%)

localize13.0ms (0.2%)

localize15.0ms (0.2%)

series0.0ms (0%)

rewrite77.0ms (1.2%)

simplify136.0ms (2.2%)

localize17.0ms (0.3%)

series8.0ms (0.1%)

rewrite88.0ms (1.4%)

simplify105.0ms (1.7%)

eval75.0ms (1.2%)

prune144.0ms (2.3%)

localize9.0ms (0.2%)

localize5.0ms (0.1%)

localize9.0ms (0.1%)

localize35.0ms (0.6%)

localize21.0ms (0.3%)

series73.0ms (1.2%)

rewrite112.0ms (1.8%)

simplify160.0ms (2.6%)

eval7.0ms (0.1%)

prune13.0ms (0.2%)

regimes100.0ms (1.6%)

bsearch0.0ms (0%)

regimes88.0ms (1.4%)

bsearch0.0ms (0%)

regimes36.0ms (0.6%)

bsearch0.0ms (0%)

regimes75.0ms (1.2%)

bsearch123.0ms (2%)

regimes15.0ms (0.2%)

bsearch99.0ms (1.6%)

regimes15.0ms (0.2%)

bsearch75.0ms (1.2%)

regimes8.0ms (0.1%)

bsearch75.0ms (1.2%)

regimes6.0ms (0.1%)

bsearch161.0ms (2.6%)

simplify71.0ms (1.1%)

soundness452.0ms (7.3%)

end302.0ms (4.9%)

Profiling