Details

analyze692.0ms (7.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
6.3%	3.1%	46.8%	50%	0%	0%	0%	5
9.4%	4.7%	45.3%	50%	0%	0%	0%	6
10.9%	5.5%	44.5%	50%	0%	0%	0%	7
11.7%	5.9%	44.1%	50%	0%	0%	0%	8
12.1%	6%	43.9%	50%	0%	0%	0%	9
12.3%	6.1%	43.8%	50%	0%	0%	0%	10
12.4%	6.2%	43.8%	50%	0%	0%	0%	11
12.5%	6.2%	43.7%	50%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.7s (70.1%)

Results

4.5s	4089×	body	1024	valid
1.3s	2059×	body	512	valid
598.0ms	407×	body	2048	valid
317.0ms	1701×	body	256	valid

Bogosity

preprocess43.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

562×	`rational_best-simplify-126`
556×	`rational_best-simplify-124`
508×	`rational_best-simplify-96`
506×	`rational_best-simplify-65`
494×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	46	27
2	226	27
3	1446	27
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

562×	`rational_best-simplify-126`
556×	`rational_best-simplify-124`
508×	`rational_best-simplify-96`
506×	`rational_best-simplify-65`
494×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	46	27
2	226	27
3	1446	27

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

eval0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% 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

61.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	4.6b	(log.f64 (+.f64 1 x))
✓	4.7b	(log.f64 (-.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`rational_best-simplify-126`
556×	`rational_best-simplify-124`
508×	`rational_best-simplify-96`
506×	`rational_best-simplify-65`
494×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	46	49
2	226	49
3	1446	49

Stop Event

1×	node limit

Counts

3 → 12

Calls

Call 1

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

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

Outputs

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

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

()

simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

908×	`rational_best-simplify-21`
902×	`rational_best-simplify-20`
880×	`rational_best-simplify-18`
500×	`rational_best-simplify-62`
478×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	184	3984
1	1109	3820
2	7142	3820

Stop Event

1×	node limit

Counts

48 → 109

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (log.f64 (-.f64 1 x)) 0)
(-.f64 0 (neg.f64 (log.f64 (-.f64 1 x))))
(*.f64 -1 (neg.f64 (log.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (log.f64 (-.f64 1 x))) -1)
(/.f64 (neg.f64 (log.f64 (-.f64 1 x))) -1)
(neg.f64 (neg.f64 (log.f64 (-.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 x)) 0)
(-.f64 0 (neg.f64 (log.f64 (+.f64 1 x))))
(*.f64 -1 (neg.f64 (log.f64 (+.f64 1 x))))
(*.f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)
(/.f64 (neg.f64 (log.f64 (+.f64 1 x))) -1)
(neg.f64 (neg.f64 (log.f64 (+.f64 1 x))))

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

eval68.0ms (0.7%)

Compiler: Compiled 4075 to 3480 computations (14.6% saved)

prune15.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Error

0.0b

Counts

110 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶	60.8b	(/.f64 (log.f64 (-.f64 1 x)) x)
▶	0.3b	(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))))
▶	0.4b	(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))))
▶	0.6b	(+.f64 -1 (neg.f64 x))
	1.4b	-1

Compiler

Compiled 52 to 42 computations (19.2% saved)

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`rational_best-simplify-96`
672×	`rational_best-simplify-117`
650×	`rational_best-simplify-111`
552×	`rational_best-simplify-110`
530×	`rational_best-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	19	32
2	73	32
3	392	32
4	2250	32

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

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

Outputs

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

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

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational_best-simplify-61`
1006×	`rational_best-simplify-3`
646×	`rational_best-simplify-1`
592×	`rational_best-simplify-53`
538×	`rational_best-simplify-56`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	1204
1	642	1102
2	4455	1102

Stop Event

1×	node limit

Counts

52 → 52

Calls

Call 1

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

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(+.f64 0 (.f64 -1/2 (.f64 x x)))
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(-.f64 (.f64 -1/2 (.f64 x x)) 0)
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(-.f64 0 (.f64 (.f64 x x) 1/2))
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(/.f64 (.f64 -1/2 (.f64 x x)) 1)
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(/.f64 (.f64 (.f64 x x) 1/2) -1)
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(/.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(/.f64 (+.f64 (.f64 (.f64 x x) 1/2) (.f64 (.f64 x x) 1/2)) -2)
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(/.f64 (*.f64 -1/2 (neg.f64 x)) (/.f64 -1 x))
(/.f64 (*.f64 x 1/2) (/.f64 -1 x))
(/.f64 (*.f64 -1/2 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(/.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (/.f64 (.f64 x (pow.f64 x 3)) 4)) (-.f64 1 (.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 (.f64 x (.f64 x -1/2)) (/.f64 (.f64 x (pow.f64 x 3)) 4)) (+.f64 (.f64 x (*.f64 x 1/2)) 1))
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(neg.f64 (.f64 (.f64 x x) 1/2))
(+.f64 (.f64 -1/2 (.f64 x x)) 0)
(.f64 x (.f64 x -1/2))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(-.f64 (neg.f64 x) (.f64 (.f64 x x) 1/2))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(-.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) 0)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(-.f64 0 (+.f64 x (.f64 (.f64 x x) 1/2)))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 (-.f64 (.f64 -1/2 (*.f64 x x)) x) 1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 -1 (+.f64 x (.f64 (*.f64 x x) 1/2)))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 (+.f64 x (.f64 (*.f64 x x) 1/2)) -1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 1 (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) 1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) -1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) x)) -2)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))) (+.f64 (+.f64 x (.f64 (*.f64 x x) 1/2)) 1))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) (-.f64 (.f64 -1/2 (.f64 x x)) x)) 2)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) x)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) x))) -4)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 (.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))) (.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))) (+.f64 (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) 1) (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) 1)))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) x))) (.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) x)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) x)))) (-.f64 4 (.f64 -2 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 (+.f64 x (.f64 (*.f64 x x) 1/2)) x)))))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) 1) (.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))) (.f64 (.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))) (.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))))) (-.f64 (.f64 (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) 1) (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) 1)) (.f64 (+.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) 1) (.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))))))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(pow.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) 1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(neg.f64 (+.f64 x (.f64 (.f64 x x) 1/2)))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (+.f64 x (.f64 -1/2 (.f64 x x))) 0) (/.f64 (-.f64 (/.f64 (.f64 x (pow.f64 x 3)) 4) (.f64 x x)) (+.f64 x (.f64 -1/2 (.f64 x x)))) (-.f64 (.f64 -1/2 (.f64 x x)) x))
(if (!=.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 0) (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 x (pow.f64 x 3)) 4)) (-.f64 (.f64 x (.f64 x 1/2)) x)) (-.f64 (.f64 x (.f64 x -1/2)) x))
(if (!=.f64 x 0) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 -1/2 x) 1)) x) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (+.f64 x (.f64 (.f64 x x) 1/2)))) 0) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (.f64 -1/2 (.f64 x x)) 0) (/.f64 (.f64 (.f64 (.f64 x x) 1/2) (+.f64 x (.f64 (.f64 x x) 1/2))) (.f64 -1/2 (.f64 x x))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (-.f64 (.f64 (.f64 x x) 1/2) x) 0) (/.f64 (-.f64 (/.f64 (.f64 x (pow.f64 x 3)) 4) (.f64 x x)) (+.f64 x (.f64 -1/2 (.f64 x x)))) (-.f64 (.f64 -1/2 (.f64 x x)) x))
(if (!=.f64 (-.f64 (.f64 x (.f64 x 1/2)) x) 0) (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 x (pow.f64 x 3)) 4)) (-.f64 (.f64 x (.f64 x 1/2)) x)) (-.f64 (.f64 x (.f64 x -1/2)) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 -1/2 x) 1)) x) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (.f64 (.f64 x x) 1/2) 0) (/.f64 (.f64 (.f64 (.f64 x x) 1/2) (+.f64 x (.f64 (.f64 x x) 1/2))) (.f64 -1/2 (.f64 x x))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) 0) (/.f64 (.f64 (+.f64 x (.f64 (.f64 x x) 1/2)) (-.f64 (.f64 -1/2 (.f64 x x)) x)) (+.f64 x (.f64 (.f64 x x) 1/2))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))))
	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.0b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))
✓	0.1b	(*.f64 (pow.f64 x 3) -5/12)

Compiler

Compiled 66 to 50 computations (24.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) -5/12)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) -5/12)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) -5/12)
0.0ms	x	@	inf	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))
0.0ms	x	@	inf	(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))))

rewrite144.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`rational_best-simplify-1`
612×	`rational_best-simplify-52`
570×	`rational_best-simplify-18`
564×	`rational_best-simplify-21`
550×	`rational_best-simplify-20`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	91
1	41	87
2	172	87
3	1022	87
4	6409	87

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) -5/12)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))
(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -5/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) -5/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) -5/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 3) 5/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -5/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 5/12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -5/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 3) 5/12))))))

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simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

780×	`rational_best-simplify-65`
762×	`rational_best-simplify-61`
642×	`rational_best-simplify-96`
636×	`rational_best-simplify-117`
508×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	319	7237
1	1952	7173

Stop Event

1×	node limit

Counts

137 → 171

Calls

Call 1

Inputs
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (*.f64 (pow.f64 x 3) -5/12) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) -5/12))
(-.f64 (*.f64 (pow.f64 x 3) -5/12) 0)
(-.f64 0 (*.f64 (pow.f64 x 3) 5/12))
(/.f64 (*.f64 (pow.f64 x 3) -5/12) 1)
(/.f64 (*.f64 (pow.f64 x 3) 5/12) -1)
(pow.f64 (*.f64 (pow.f64 x 3) -5/12) 1)
(neg.f64 (*.f64 (pow.f64 x 3) 5/12))
(-.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 1/2 (*.f64 x x)))
(-.f64 (.f64 -1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) 5/12))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))) 0)
(-.f64 0 (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))) 1)
(.f64 -1 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))))
(.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) -1)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))) 1)
(/.f64 (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12)) -1)
(/.f64 (.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) -1))) (+.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) -1)))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12))) -2)
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))) 1)
(neg.f64 (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 1/2 (.f64 x x))) 0) (/.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 -5/12 (.f64 (pow.f64 x 3) -5/12))) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12))) (.f64 1/2 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) 0)) 0) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
(if (!=.f64 (.f64 (pow.f64 x 3) -5/12) 0) (/.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (.f64 (pow.f64 x 3) -5/12)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))))
(if (!=.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) 0) (/.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 -5/12 (.f64 (pow.f64 x 3) -5/12))) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
(if (!=.f64 (.f64 (pow.f64 x 3) 5/12) 0) (/.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (.f64 (pow.f64 x 3) -5/12)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))))
(if (!=.f64 (.f64 -1/2 (.f64 x x)) 0) (/.f64 (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12))) (.f64 1/2 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
(if (!=.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) 0) (/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))))
(if (!=.f64 -1 0) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))))
(-.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 1 (+.f64 x (.f64 1/2 (*.f64 x x)))))
(-.f64 (.f64 -1/2 (.f64 x x)) (+.f64 1 (-.f64 x (*.f64 (pow.f64 x 3) -5/12))))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))) (+.f64 x 1))
(-.f64 -1 (+.f64 x (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12))))
(-.f64 (neg.f64 x) (+.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12))))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 (.f64 -1/2 (*.f64 x x)) x)) 1)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) 0)
(-.f64 0 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (*.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (*.f64 x x)) -1)) x)
(-.f64 (-.f64 (.f64 (pow.f64 x 3) -5/12) x) (-.f64 1 (.f64 -1/2 (*.f64 x x))))
(-.f64 (-.f64 -1 x) (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12)))
(-.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) (-.f64 1 (*.f64 (pow.f64 x 3) -5/12)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (*.f64 (pow.f64 x 3) 5/12))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)) (.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) -1) (+.f64 x (.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) (-.f64 x (*.f64 (pow.f64 x 3) -5/12)))
(-.f64 (.f64 1 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (pow.f64 x 3) 5/12))
(-.f64 (.f64 1 (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))) (.f64 1/2 (.f64 x x)))
(-.f64 (.f64 1 (+.f64 (.f64 (pow.f64 x 3) -5/12) -1)) (+.f64 x (.f64 1/2 (.f64 x x))))
(-.f64 (.f64 1 (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (-.f64 x (.f64 (pow.f64 x 3) -5/12)))
(.f64 -1 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(.f64 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))) -1)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) 1)
(/.f64 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (*.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))) -1)
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) 2)
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))))) (+.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (*.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (neg.f64 (+.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (*.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))) (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)))) -2)
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))) 4)
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(if (!=.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (.f64 (-.f64 x (.f64 (pow.f64 x 3) -5/12)) (+.f64 (.f64 -1/2 (.f64 x x)) -1))) (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))

Outputs
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (neg.f64 x) -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)) -1)
(+.f64 -1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)) -1)
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)) -1)
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)) -1)
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(+.f64 (*.f64 (pow.f64 x 3) -5/12) 0)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) -5/12))
(*.f64 -5/12 (pow.f64 x 3))
(-.f64 (*.f64 (pow.f64 x 3) -5/12) 0)
(*.f64 -5/12 (pow.f64 x 3))
(-.f64 0 (*.f64 (pow.f64 x 3) 5/12))
(*.f64 -5/12 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) -5/12) 1)
(/.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 5/12) -1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -5/12) 1)
(*.f64 -5/12 (pow.f64 x 3))
(neg.f64 (*.f64 (pow.f64 x 3) 5/12))
(*.f64 -5/12 (pow.f64 x 3))
(-.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 1/2 (*.f64 x x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(-.f64 (.f64 -1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) 5/12))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))) 0)
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(-.f64 0 (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))) 1)
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(.f64 -1 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) -1)
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))) 1)
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(/.f64 (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12)) -1)
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(/.f64 (.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) -1))) (+.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12))))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) -1)))
(/.f64 (.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x))) (+.f64 -1 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x))))) (+.f64 -1 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x)))))
(/.f64 (.f64 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2))) (+.f64 -1 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2))))) (+.f64 -1 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2)))))
(/.f64 (+.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12))) -2)
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))) 1)
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(neg.f64 (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 1/2 (.f64 x x))) 0) (/.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 -5/12 (.f64 (pow.f64 x 3) -5/12))) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12))) (.f64 1/2 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) 0)) 0) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(if (!=.f64 (.f64 (pow.f64 x 3) -5/12) 0) (/.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (.f64 (pow.f64 x 3) -5/12)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))))
(if (!=.f64 (.f64 -5/12 (pow.f64 x 3)) 0) (/.f64 (.f64 (.f64 -5/12 (pow.f64 x 3)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x)))) (.f64 -5/12 (pow.f64 x 3))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x))))
(if (!=.f64 (.f64 -5/12 (pow.f64 x 3)) 0) (/.f64 (.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2)))) (.f64 -5/12 (pow.f64 x 3))) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2))))
(if (!=.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) 0) (/.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 -5/12 (.f64 (pow.f64 x 3) -5/12))) (.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
(if (!=.f64 (-.f64 (.f64 x (.f64 -1/2 x)) (.f64 -5/12 (pow.f64 x 3))) 0) (/.f64 (+.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 25/144)) (.f64 1/2 (.f64 (.f64 x (.f64 -1/2 x)) (.f64 x x)))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 1/2 x)))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x))))
(if (!=.f64 (-.f64 (.f64 (pow.f64 x 3) 5/12) (.f64 x (.f64 x 1/2))) 0) (/.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x 1/2)) (.f64 x -1/2))) (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 25/144))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2)))) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2))))
(if (!=.f64 (.f64 (pow.f64 x 3) 5/12) 0) (/.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (.f64 (pow.f64 x 3) -5/12)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))))
(if (!=.f64 (.f64 (pow.f64 x 3) 5/12) 0) (/.f64 (.f64 (.f64 -5/12 (pow.f64 x 3)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x)))) (.f64 -5/12 (pow.f64 x 3))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x))))
(if (!=.f64 (.f64 (pow.f64 x 3) 5/12) 0) (/.f64 (.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2)))) (.f64 -5/12 (pow.f64 x 3))) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2))))
(if (!=.f64 (.f64 -1/2 (.f64 x x)) 0) (/.f64 (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12))) (.f64 1/2 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))))
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(if (!=.f64 (.f64 x (.f64 x -1/2)) 0) (/.f64 (.f64 1/2 (.f64 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2))) (.f64 x x))) (.f64 x (.f64 x 1/2))) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2))))
(if (!=.f64 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)) 0) (/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x))))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
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(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 1/2 x)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))
(-.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 1 (+.f64 x (.f64 1/2 (*.f64 x x)))))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 x (*.f64 1/2 x)) 1)))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (+.f64 (.f64 x (*.f64 x 1/2)) (+.f64 x 1)))
(-.f64 (.f64 -1/2 (.f64 x x)) (+.f64 1 (-.f64 x (*.f64 (pow.f64 x 3) -5/12))))
(-.f64 (.f64 x (.f64 -1/2 x)) (+.f64 1 (-.f64 x (*.f64 -5/12 (pow.f64 x 3)))))
(+.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 (+.f64 x (*.f64 (pow.f64 x 3) 5/12))))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (*.f64 x x))) (+.f64 x 1))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
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(-.f64 -1 (+.f64 x (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 (pow.f64 x 3) -5/12))))
(-.f64 -1 (+.f64 x (-.f64 (.f64 x (.f64 1/2 x)) (*.f64 -5/12 (pow.f64 x 3)))))
(-.f64 -1 (-.f64 x (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x 1/2)))))
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(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
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(+.f64 -1 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (.f64 x (*.f64 x -1/2)) x)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) 0)
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
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(-.f64 0 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (*.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))))
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(if (!=.f64 (+.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) (-.f64 x (.f64 (pow.f64 x 3) -5/12))) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (.f64 (-.f64 (.f64 (pow.f64 x 3) -5/12) x) (-.f64 (.f64 (pow.f64 x 3) -5/12) x))) (+.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) (-.f64 x (.f64 (pow.f64 x 3) -5/12)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2))))
(if (!=.f64 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))) 0) (/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)))) (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2))))
(if (!=.f64 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))) 0) (/.f64 (-.f64 (.f64 (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))) 0) (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))) (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2))))
(if (!=.f64 (+.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12))) 0) (/.f64 (-.f64 (-.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 -1/2 (.f64 x x)))) x) (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) -1)))) (+.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) (.f64 (pow.f64 x 3) -5/12)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(if (!=.f64 (+.f64 1 (-.f64 (.f64 x (.f64 1/2 x)) (.f64 -5/12 (pow.f64 x 3)))) 0) (/.f64 (-.f64 (-.f64 (.f64 x (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x)))) x) (.f64 (+.f64 -1 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x)))) (+.f64 -1 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 -1/2 x)))))) (+.f64 1 (-.f64 (.f64 x (.f64 1/2 x)) (.f64 -5/12 (pow.f64 x 3))))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (+.f64 (.f64 x (.f64 -1/2 x)) (-.f64 -1 x))))
(if (!=.f64 (-.f64 1 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2)))) 0) (/.f64 (+.f64 (-.f64 (.f64 x (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2)))) x) (.f64 (+.f64 -1 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2)))) (-.f64 1 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2)))))) (-.f64 1 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x 1/2))))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))))
(if (!=.f64 (+.f64 x (.f64 1/2 (.f64 x x))) 0) (/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/2 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) -1)) (.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) (-.f64 (.f64 -1/2 (.f64 x x)) x))) (+.f64 x (.f64 1/2 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(if (!=.f64 (+.f64 x (.f64 x (.f64 1/2 x))) 0) (/.f64 (-.f64 (.f64 (+.f64 x (.f64 x (.f64 1/2 x))) (+.f64 -1 (.f64 -5/12 (pow.f64 x 3)))) (.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 (.f64 x (.f64 -1/2 x)) x))) (+.f64 x (.f64 x (.f64 1/2 x)))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (+.f64 (.f64 x (.f64 -1/2 x)) (-.f64 -1 x))))
(if (!=.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 0) (/.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (+.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) (+.f64 -1 (.f64 -5/12 (pow.f64 x 3))))) (+.f64 x (.f64 x (.f64 x 1/2)))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2)))))
(if (!=.f64 (-.f64 x (.f64 (pow.f64 x 3) -5/12)) 0) (/.f64 (-.f64 (.f64 (-.f64 x (.f64 (pow.f64 x 3) -5/12)) (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (.f64 (-.f64 (.f64 (pow.f64 x 3) -5/12) x) (-.f64 (.f64 (pow.f64 x 3) -5/12) x))) (-.f64 x (.f64 (pow.f64 x 3) -5/12))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2))))
(if (!=.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))) (.f64 (.f64 1/2 (.f64 x x)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x)))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) -1) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -5/12) -1) (+.f64 (.f64 (pow.f64 x 3) -5/12) -1)) (.f64 (+.f64 x (.f64 1/2 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) -1))) (+.f64 (.f64 (pow.f64 x 3) -5/12) -1)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(if (!=.f64 (+.f64 -1 (.f64 -5/12 (pow.f64 x 3))) 0) (/.f64 (-.f64 (.f64 (+.f64 -1 (.f64 -5/12 (pow.f64 x 3))) (+.f64 -1 (.f64 -5/12 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 x (.f64 1/2 x))) (+.f64 -1 (.f64 -5/12 (pow.f64 x 3))))) (+.f64 -1 (.f64 -5/12 (pow.f64 x 3)))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (+.f64 (.f64 x (.f64 -1/2 x)) (-.f64 -1 x))))
(if (!=.f64 (+.f64 -1 (.f64 -5/12 (pow.f64 x 3))) 0) (/.f64 (.f64 (+.f64 -1 (.f64 -5/12 (pow.f64 x 3))) (+.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) (+.f64 -1 (.f64 -5/12 (pow.f64 x 3))))) (+.f64 -1 (.f64 -5/12 (pow.f64 x 3)))) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))))
(if (!=.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (.f64 (-.f64 x (.f64 (pow.f64 x 3) -5/12)) (+.f64 (.f64 -1/2 (.f64 x x)) -1))) (+.f64 (.f64 -1/2 (.f64 x x)) -1)) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 -1/2 x))) (+.f64 x 1))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) x)
	4.7b	(log.f64 (-.f64 1 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`rational_best-simplify-126`
534×	`rational_best-simplify-127`
534×	`rational_best-simplify-124`
474×	`rational_best-simplify-65`
464×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	40	17
2	202	17
3	1330	17

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

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

Outputs
()

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

784×	`rational_best-simplify-65`
742×	`rational_best-simplify-61`
686×	`rational_best-simplify-96`
682×	`rational_best-simplify-117`
474×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	588
1	311	572
2	1969	548

Stop Event

1×	node limit

Counts

12 → 36

Calls

Call 1

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

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

eval240.0ms (2.5%)

Compiler: Compiled 9826 to 6946 computations (29.3% saved)

prune83.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	309	4	313
Fresh	0	1	1
Picked	0	1	1
Done	3	1	4
Total	312	7	319

Error

0.0b

Counts

319 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(if (!=.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
✓	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	60.8b	(/.f64 (log.f64 (-.f64 1 x)) x)
▶	0.3b	(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
▶	0.6b	(-.f64 -1 x)
▶	0.4b	(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
	1.4b	-1

Compiler

Compiled 122 to 85 computations (30.3% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`rational_best-simplify-52`
1192×	`rational_best-simplify-53`
780×	`rational_best-simplify-1`
584×	`rational_best-simplify-113`
560×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	34	19
2	142	19
3	874	19
4	6078	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

912×	`rational_best-simplify-61`
892×	`rational_best-simplify-65`
848×	`rational_best-simplify-96`
728×	`rational_best-simplify-3`
606×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	808
1	449	772
2	2758	772

Stop Event

1×	node limit

Counts

42 → 38

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (.f64 x x)) (neg.f64 x))
(+.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) 0)
(+.f64 (neg.f64 x) (.f64 -1/2 (.f64 x x)))
(+.f64 0 (-.f64 (.f64 -1/2 (.f64 x x)) x))
(.f64 x (-.f64 -1 (.f64 x 1/2)))
(.f64 (-.f64 (.f64 -1/2 (*.f64 x x)) x) 1)
(.f64 (+.f64 x (.f64 x (*.f64 x 1/2))) -1)
(.f64 -1 (+.f64 x (.f64 x (*.f64 x 1/2))))
(.f64 1 (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(.f64 (+.f64 1 (.f64 x 1/2)) (neg.f64 x))
(/.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) 1)
(/.f64 (+.f64 x (.f64 x (.f64 x 1/2))) -1)
(/.f64 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))) -2)
(/.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))) (+.f64 (+.f64 x (.f64 x (*.f64 x 1/2))) 1))
(/.f64 (+.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) (-.f64 (.f64 -1/2 (.f64 x x)) x)) 2)
(/.f64 (+.f64 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))) (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2))))) -4)
(/.f64 (+.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))) (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2)))))) (+.f64 (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1) (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1)))
(/.f64 (-.f64 (.f64 -2 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2))))) (.f64 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))) (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))))) (-.f64 4 (.f64 -2 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (*.f64 x 1/2)))))))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1) (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2)))))) (.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))) (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))))) (-.f64 (.f64 (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1) (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1)) (.f64 (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1) (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))))))
(pow.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) 1)
(neg.f64 (+.f64 x (.f64 x (.f64 x 1/2))))
(if (!=.f64 (+.f64 x (.f64 -1/2 (.f64 x x))) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 -1/2 (.f64 -1/2 (.f64 x x)))) x)) (+.f64 x (.f64 -1/2 (.f64 x x)))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 -1/2 (.f64 x x)) x)) x) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(if (!=.f64 (.f64 -1/2 (.f64 x x)) 0) (/.f64 (.f64 x (.f64 (.f64 x -1/2) (-.f64 (.f64 -1/2 (.f64 x x)) x))) (.f64 -1/2 (.f64 x x))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 -1/2 (.f64 x x)) x)) x) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(if (!=.f64 (.f64 x (.f64 x 1/2)) 0) (/.f64 (.f64 x (.f64 (.f64 x -1/2) (-.f64 (.f64 -1/2 (.f64 x x)) x))) (.f64 -1/2 (.f64 x x))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(if (!=.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 0) (/.f64 (.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) (-.f64 (.f64 -1/2 (.f64 x x)) x)) (-.f64 (.f64 -1/2 (.f64 x x)) x)) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 (.f64 -1/2 (.f64 x x)) x))
(if (!=.f64 (-.f64 (.f64 x (.f64 x 1/2)) x) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 -1/2 (.f64 -1/2 (.f64 x x)))) x)) (+.f64 x (.f64 -1/2 (.f64 x x)))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(if (!=.f64 -1 0) (-.f64 (.f64 -1/2 (.f64 x x)) x) (-.f64 (.f64 -1/2 (.f64 x x)) x))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (.f64 x x)) (neg.f64 x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(+.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) 0)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(+.f64 (neg.f64 x) (.f64 -1/2 (.f64 x x)))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(+.f64 0 (-.f64 (.f64 -1/2 (.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 x (-.f64 -1 (.f64 x 1/2)))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 (-.f64 (.f64 -1/2 (*.f64 x x)) x) 1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 (+.f64 x (.f64 x (*.f64 x 1/2))) -1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 -1 (+.f64 x (.f64 x (*.f64 x 1/2))))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 1 (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 (+.f64 1 (.f64 x 1/2)) (neg.f64 x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) 1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 x (.f64 x (.f64 x 1/2))) -1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))) -2)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))) (+.f64 (+.f64 x (.f64 x (*.f64 x 1/2))) 1))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) (-.f64 (.f64 -1/2 (.f64 x x)) x)) 2)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))) (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2))))) -4)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (+.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))) (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2)))))) (+.f64 (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1) (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1)))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (-.f64 (.f64 -2 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2))))) (.f64 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))) (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))))) (-.f64 4 (.f64 -2 (+.f64 x (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (*.f64 x 1/2)))))))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1) (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2)))))) (.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))) (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))))) (-.f64 (.f64 (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1) (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1)) (.f64 (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 1) (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))))))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(pow.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) 1)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(neg.f64 (+.f64 x (.f64 x (.f64 x 1/2))))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (+.f64 x (.f64 -1/2 (.f64 x x))) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 -1/2 (.f64 -1/2 (.f64 x x)))) x)) (+.f64 x (.f64 -1/2 (.f64 x x)))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 -1/2 (.f64 x x)) x)) x) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (.f64 -1/2 (.f64 x x)) 0) (/.f64 (.f64 x (.f64 (.f64 x -1/2) (-.f64 (.f64 -1/2 (.f64 x x)) x))) (.f64 -1/2 (.f64 x x))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 -1/2 (.f64 x x)) x)) x) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (.f64 x (.f64 x 1/2)) 0) (/.f64 (.f64 x (.f64 (.f64 x -1/2) (-.f64 (.f64 -1/2 (.f64 x x)) x))) (.f64 -1/2 (.f64 x x))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 0) (/.f64 (.f64 (-.f64 (.f64 -1/2 (.f64 x x)) x) (-.f64 (.f64 -1/2 (.f64 x x)) x)) (-.f64 (.f64 -1/2 (.f64 x x)) x)) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 (.f64 -1/2 (.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 (-.f64 (.f64 x (.f64 x 1/2)) x) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 -1/2 (.f64 -1/2 (.f64 x x)))) x)) (+.f64 x (.f64 -1/2 (.f64 x x)))) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(if (!=.f64 -1 0) (-.f64 (.f64 -1/2 (.f64 x x)) x) (-.f64 (.f64 -1/2 (.f64 x x)) x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)

localize2.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (.f64 -1/2 x)) x)
✓	0.0b	(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
✓	0.1b	(*.f64 -5/12 (pow.f64 x 3))

Compiler

Compiled 51 to 37 computations (27.5% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 -5/12 (pow.f64 x 3))
0.0ms	x	@	-inf	(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
0.0ms	x	@	inf	(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
0.0ms	x	@	0	(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
0.0ms	x	@	0	(*.f64 -5/12 (pow.f64 x 3))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`rational_best-simplify-96`
890×	`rational_best-simplify-61`
838×	`rational_best-simplify-65`
778×	`rational_best-simplify-3`
514×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	83	75
2	440	75
3	2967	75

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(*.f64 -5/12 (pow.f64 x 3))
(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (.f64 x (.f64 -1/2 x)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5/12 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -5/12 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 3) 5/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 5/12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 3) 5/12))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5/12 (pow.f64 x 3)) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (+.f64 (*.f64 -5/12 (pow.f64 x 3)) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x 1/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 1 (*.f64 (pow.f64 x 3) 5/12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 -5/12 (pow.f64 x 3)) -1) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (+.f64 x (*.f64 x 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simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational_best-simplify-3`
1152×	`rational_best-simplify-1`
582×	`rational_best-simplify-21`
580×	`rational_best-simplify-18`
562×	`rational_best-simplify-20`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	3711
1	860	3641
2	5836	3605

Stop Event

1×	node limit

Counts

89 → 115

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 -5/12 (pow.f64 x 3)))
(-.f64 (*.f64 -5/12 (pow.f64 x 3)) 0)
(-.f64 0 (*.f64 (pow.f64 x 3) 5/12))
(/.f64 (*.f64 (pow.f64 x 3) 5/12) -1)
(pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
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(+.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) -1))
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(+.f64 (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2)))) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (-.f64 (.f64 x (.f64 x -1/2)) (+.f64 1 (*.f64 (pow.f64 x 3) 5/12))) (neg.f64 x))
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(.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))) 1)
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(if (!=.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 0) (/.f64 (.f64 x (-.f64 x (.f64 x (.f64 -1/2 (.f64 x (.f64 x -1/2)))))) (-.f64 (.f64 x (.f64 x 1/2)) x)) (-.f64 (.f64 x (*.f64 x -1/2)) x))
(if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x -1/2)) x)) x) (-.f64 (.f64 x (*.f64 x -1/2)) x))
(if (!=.f64 (.f64 x (.f64 x -1/2)) 0) (/.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x -1/2))) (-.f64 (.f64 x (*.f64 x -1/2)) x))
(if (!=.f64 (-.f64 (.f64 x (.f64 x 1/2)) x) 0) (/.f64 (.f64 x (-.f64 x (.f64 x (.f64 -1/2 (.f64 x (.f64 x -1/2)))))) (-.f64 (.f64 x (.f64 x 1/2)) x)) (-.f64 (.f64 x (*.f64 x -1/2)) x))
(if (!=.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 0) (/.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (+.f64 x (.f64 x (.f64 x 1/2)))) (-.f64 (.f64 x (.f64 x -1/2)) x)) (-.f64 (.f64 x (*.f64 x -1/2)) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x -1/2)) x)) x) (-.f64 (.f64 x (*.f64 x -1/2)) x))
(if (!=.f64 (.f64 x (.f64 x 1/2)) 0) (/.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x -1/2))) (-.f64 (.f64 x (*.f64 x -1/2)) x))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (+.f64 x (.f64 x (.f64 x 1/2))) 0)) 0) (-.f64 (.f64 x (*.f64 x -1/2)) x))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (neg.f64 x) -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)) -1)
(+.f64 -1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (neg.f64 x))) -1)
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (neg.f64 x))) -1)
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
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(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (neg.f64 x))) -1)
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
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(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
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(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
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(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
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(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
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(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
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(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
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(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) 0)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 0 (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(-.f64 (*.f64 -5/12 (pow.f64 x 3)) 0)
(*.f64 -5/12 (pow.f64 x 3))
(-.f64 0 (*.f64 (pow.f64 x 3) 5/12))
(*.f64 -5/12 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 5/12) -1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
(*.f64 -5/12 (pow.f64 x 3))
(neg.f64 (*.f64 (pow.f64 x 3) 5/12))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 -1 (+.f64 x (.f64 x (*.f64 x 1/2)))))
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(+.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 -1 (+.f64 x (.f64 x (*.f64 x 1/2))))) 0)
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(+.f64 (-.f64 -1 (.f64 (pow.f64 x 3) 5/12)) (-.f64 (.f64 -1/2 (*.f64 x x)) x))
(.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))) 1)
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 -1 (+.f64 x (.f64 x (*.f64 x 1/2)))))
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(.f64 (+.f64 x (+.f64 (+.f64 1 (.f64 (pow.f64 x 3) 5/12)) (.f64 x (.f64 x 1/2)))) -1)
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(/.f64 (+.f64 (+.f64 x (+.f64 (+.f64 1 (.f64 (pow.f64 x 3) 5/12)) (.f64 x (.f64 x 1/2)))) (+.f64 x (+.f64 (+.f64 1 (.f64 (pow.f64 x 3) 5/12)) (.f64 x (.f64 x 1/2))))) -2)
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localize74.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
✓	0.0b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
✓	0.1b	(*.f64 (pow.f64 x 3) 5/12)
	0.1b	(*.f64 (pow.f64 x 3) -5/12)

Compiler

Compiled 253 to 161 computations (36.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) 5/12)
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`rational_best-simplify-96`
1014×	`rational_best-simplify-61`
968×	`rational_best-simplify-3`
964×	`rational_best-simplify-65`
628×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	201
1	82	171
2	461	171
3	3117	171

Stop Event

1×	node limit

Counts

3 → 13

Calls

Call 1

Inputs

(*.f64 (pow.f64 x 3) 5/12)

(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) (*.f64 (*.f64 (pow.f64 x 3) 5/12) (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))

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

Outputs

()

()

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

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

982×	`rational_best-simplify-111`
858×	`rational_best-simplify-65`
840×	`rational_best-simplify-61`
794×	`rational_best-simplify-96`
668×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1987
1	435	1969
2	2725	1547

Stop Event

1×	node limit

Counts

49 → 58

Calls

Call 1

Inputs
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 1 (pow.f64 x 3))))
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3))))
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))))
(+.f64 (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))))
(-.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))) 0)
(-.f64 0 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (+.f64 (.f64 (*.f64 x x) 1/2) (+.f64 x 1))))
(-.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))
(-.f64 (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))
(/.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (+.f64 (.f64 (*.f64 x x) 1/2) (+.f64 x 1))) -1)
(neg.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (+.f64 (.f64 (*.f64 x x) 1/2) (+.f64 x 1))))
(fabs.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))))
(fabs.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (+.f64 (.f64 (*.f64 x x) 1/2) (+.f64 x 1))))
(if (!=.f64 (+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) 0) (/.f64 (-.f64 (.f64 (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) (.f64 (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))) (+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))))
(if (!=.f64 (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) 0) (/.f64 (-.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) (.f64 (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))))
(if (!=.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) 0) (/.f64 (-.f64 (.f64 (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) (.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))))

Outputs
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
(*.f64 5/12 (pow.f64 x 3))
-1
(-.f64 (*.f64 -1 x) 1)
(+.f64 (*.f64 x -1) -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (+.f64 (.f64 x -1) (.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 -1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 x -1) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))))
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 3) -5/12) x)))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -5/12)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (.f64 x -1) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -5/12)))
(+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 3) -5/12) x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 x -1) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))))
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 3) -5/12) x)))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -5/12)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (.f64 x -1) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -5/12)))
(+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 3) -5/12) x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (.f64 x -1) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))))
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 3) -5/12) x)))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (*.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 (+.f64 1 (.f64 x 2)) (.f64 2 (pow.f64 x 2)))
(+.f64 1 (-.f64 (.f64 x 2) (.f64 (pow.f64 x 2) -2)))
(+.f64 1 (*.f64 2 (-.f64 x (neg.f64 (pow.f64 x 2)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 x 2) (+.f64 (+.f64 (pow.f64 x 3) 1) (.f64 2 (pow.f64 x 2))))
(+.f64 (+.f64 1 (.f64 x 2)) (+.f64 (pow.f64 x 3) (.f64 2 (pow.f64 x 2))))
(+.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 2 (-.f64 x (neg.f64 (pow.f64 x 2)))))
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 1/4 (pow.f64 x 4))))
(+.f64 (pow.f64 x 3) (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (+.f64 (.f64 x 2) (*.f64 1/4 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 3) (+.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -2)) (*.f64 x 2)))
(+.f64 (+.f64 (pow.f64 x 3) (.f64 1/4 (pow.f64 x 4))) (.f64 2 (-.f64 x (neg.f64 (pow.f64 x 2)))))
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 1/4 (pow.f64 x 4))))
(+.f64 (pow.f64 x 3) (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (+.f64 (.f64 x 2) (*.f64 1/4 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 3) (+.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -2)) (*.f64 x 2)))
(+.f64 (+.f64 (pow.f64 x 3) (.f64 1/4 (pow.f64 x 4))) (.f64 2 (-.f64 x (neg.f64 (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(+.f64 (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(-.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))) 0)
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(-.f64 0 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (+.f64 (.f64 (*.f64 x x) 1/2) (+.f64 x 1))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(-.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(-.f64 (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(/.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (+.f64 (.f64 (*.f64 x x) 1/2) (+.f64 x 1))) -1)
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(neg.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (+.f64 (.f64 (*.f64 x x) 1/2) (+.f64 x 1))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(fabs.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(fabs.f64 (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (+.f64 (.f64 (*.f64 x x) 1/2) (+.f64 x 1))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(if (!=.f64 (+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) 0) (/.f64 (-.f64 (.f64 (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) (.f64 (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))) (+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(if (!=.f64 (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) 0) (/.f64 (-.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) (.f64 (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(if (!=.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) 0) (/.f64 (-.f64 (.f64 (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))) (.f64 (-.f64 -1 x) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1)))) (.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 1))))) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (-.f64 (-.f64 -1 x) (.f64 (*.f64 x x) 1/2))))
(+.f64 (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2))) (.f64 (-.f64 (-.f64 -1 x) (.f64 (.f64 x x) 1/2)) (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2))) (.f64 (+.f64 (-.f64 -1 x) (.f64 (.f64 x x) -1/2)) (.f64 x (.f64 x -1/2))))
(.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))

eval136.0ms (1.4%)

Compiler: Compiled 9005 to 6174 computations (31.4% saved)

prune32.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	221	7	228

Error

0.0b

Counts

228 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(if (!=.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
✓	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	60.8b	(/.f64 (log.f64 (-.f64 1 x)) x)
✓	0.3b	(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
✓	0.6b	(-.f64 -1 x)
✓	0.4b	(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
	1.4b	-1

Compiler

Compiled 122 to 85 computations (30.3% saved)

eval0.0ms (0%)

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

prune4.0ms (0%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

0.0b

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(if (!=.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
✓	61.7b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	60.8b	(/.f64 (log.f64 (-.f64 1 x)) x)
✓	0.3b	(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
✓	0.6b	(-.f64 -1 x)
✓	0.4b	(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
	1.4b	-1

Compiler

Compiled 122 to 85 computations (30.3% saved)

regimes12.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(+.f64 -1 (neg.f64 x))
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(/.f64 (log.f64 (-.f64 1 x)) x)
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))))
(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
(if (!=.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(+.f64 -1 (+.f64 (neg.f64 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -5/12))))

Outputs

(if (!=.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) 0) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) (*.f64 (*.f64 (pow.f64 x 3) 5/12) (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) (+.f64 (*.f64 (pow.f64 x 3) -5/12) (+.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))

Calls

2 calls:

6.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`

Compiler

Compiled 158 to 110 computations (30.4% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(+.f64 -1 (neg.f64 x))
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(/.f64 (log.f64 (-.f64 1 x)) x)
(+.f64 -1 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))))
(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))

Outputs
(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.7b remaining (-119.5%)

Threshold costs -0.7b (-119.5%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(+.f64 -1 (neg.f64 x))

Outputs
(-.f64 -1 x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	285

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (!=.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(-.f64 -1 x)
-1

Outputs
(if (!=.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) 0) (/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (.f64 (.f64 (pow.f64 x 3) 5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 x 3) -5/12) (+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(-.f64 (-.f64 (.f64 x (.f64 -1/2 x)) x) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(-.f64 -1 x)
-1

Compiler

Compiled 105 to 72 computations (31.4% saved)

soundness91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

908×	`rational_best-simplify-21`
902×	`rational_best-simplify-20`
880×	`rational_best-simplify-18`
500×	`rational_best-simplify-62`
478×	`rational_best-simplify-126`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	184	3984
1	1109	3820
2	7142	3820

Stop Event

1×	node limit

Compiler

Compiled 134 to 108 computations (19.4% saved)

end64.0ms (0.7%)

Compiler: Compiled 101 to 68 computations (32.7% saved)

Details

analyze692.0ms (7.3%)

sample6.7s (70.1%)

preprocess43.0ms (0.5%)

simplify41.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.1%)

series5.0ms (0.1%)

rewrite53.0ms (0.6%)

simplify104.0ms (1.1%)

eval68.0ms (0.7%)

prune15.0ms (0.2%)

localize4.0ms (0%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite60.0ms (0.6%)

simplify71.0ms (0.7%)

localize25.0ms (0.3%)

series2.0ms (0%)

rewrite144.0ms (1.5%)

simplify120.0ms (1.3%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite48.0ms (0.5%)

simplify48.0ms (0.5%)

eval240.0ms (2.5%)

prune83.0ms (0.9%)

localize10.0ms (0.1%)

series0.0ms (0%)

rewrite94.0ms (1%)

simplify59.0ms (0.6%)

localize2.0ms (0%)

localize19.0ms (0.2%)

series4.0ms (0%)

rewrite75.0ms (0.8%)

simplify104.0ms (1.1%)

localize74.0ms (0.8%)

series2.0ms (0%)

rewrite70.0ms (0.7%)

simplify71.0ms (0.7%)

eval136.0ms (1.4%)

prune32.0ms (0.3%)

eval0.0ms (0%)

prune4.0ms (0%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify4.0ms (0%)

soundness91.0ms (1%)

end64.0ms (0.7%)

Profiling