Details

analyze823.0ms (4.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample10.6s (52.4%)

Results

5.7s	2032×	body	2048	valid
3.5s	3204×	body	1024	valid
712.0ms	1512×	body	512	valid
535.0ms	1401×	body	256	valid
116.0ms	106×	body	4096	valid
2.0ms	1×	body	8192	valid

Bogosity

preprocess8.0ms (0%)

Algorithm

2×	egg-herbie

Rules

44×	`rational_best-simplify-2`
20×	`rational_best-simplify-44`
8×	`rational_best-simplify-5`
6×	`rational_best-simplify-1`
4×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	26	21
2	40	21
3	46	21
4	53	21
5	60	21
6	62	21
7	74	21
8	85	21
9	86	21
10	87	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`rational_best-simplify-2`
20×	`rational_best-simplify-44`
8×	`rational_best-simplify-5`
6×	`rational_best-simplify-1`
4×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	26	21
2	40	21
3	46	21
4	53	21
5	60	21
6	62	21
7	74	21
8	85	21
9	86	21
10	87	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% 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

26.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite111.0ms (0.5%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

660×	`rational_best-5`
660×	`rational_best-2`
660×	`rational_best-3`
660×	`rational_best-1`
660×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	79	32
2	324	32
3	1264	32
4	5861	32
0	7	11
1	61	11
2	258	11
3	983	11
4	4372	11
0	7	11
1	61	11
2	258	11
0	9	21
1	79	21
2	324	21
3	1264	21
4	5861	21
0	9	21
1	79	21
2	324	21

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 23

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

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

Outputs

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

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

simplify212.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1210×	`rational_best-simplify-132`
858×	`rational_best-simplify-2`
800×	`rational_best-simplify-54`
756×	`rational_best-simplify-80`
724×	`rational_best-simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	703
1	170	703
2	364	651
3	1291	651
4	3307	651
5	7002	651

Stop Event

1×	node limit

Counts

31 → 43

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (-.f64 2 (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))) 2)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6))) (.f64 -1/40320 (pow.f64 x 8))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) 2)
(/.f64 (-.f64 2 (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x)))) 2)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval13.0ms (0.1%)

Compiler: Compiled 659 to 434 computations (34.1% saved)

prune12.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	36	7	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	8	44

Error

0.4b

Counts

44 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
	28.1b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
▶	28.1b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
▶	35.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
▶	35.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
▶	35.6b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	28.1b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
▶	35.1b	(*.f64 1/2 x)

Compiler

Compiled 244 to 178 computations (27% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 1 (cos.f64 x)))
✓	0.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 63 to 38 computations (39.7% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite166.0ms (0.8%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

804×	`rational_best-5`
804×	`rational_best-2`
804×	`rational_best-3`
804×	`rational_best-1`
804×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	109
1	104	71
2	409	71
3	1571	71
4	7620	71
0	9	33
1	76	33
2	310	33
3	1220	33
4	5490	33
0	9	33
1	76	33
2	310	33
0	12	59
1	104	21
2	409	21
3	1571	21
4	7620	21
0	12	59
1	104	21
2	409	21
0	8	17
1	68	17
2	282	17
3	1085	17
4	4875	17
0	8	17
1	68	17
2	282	17

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 25

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 1 (-.f64 1 (cos.f64 x)))

Inputs

(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))

(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))

(/.f64 1 (-.f64 1 (cos.f64 x)))

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

Outputs

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

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

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

simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1444×	`rational_best-simplify-47`
702×	`rational_best-simplify-1`
662×	`rational_best-simplify-2`
610×	`rational_best-simplify-43`
582×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1031
1	178	1031
2	390	1031
3	1240	1031
4	3784	1031
5	6602	1031

Stop Event

1×	node limit

Counts

53 → 52

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 0 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) 2)
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 1/6 (.f64 (pow.f64 x 2) 1/120)))
(+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/120)))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 x 2) 1/120) (+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3024 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 1/3024 (pow.f64 x 4))) (+.f64 1/6 (*.f64 (pow.f64 x 2) 1/120)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3024 (pow.f64 x 4)) (+.f64 1/6 (*.f64 (pow.f64 x 2) 1/120))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) 1/120) (+.f64 1/6 (*.f64 1/3024 (pow.f64 x 4)))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 0 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) 2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (-.f64 1 (cos.f64 x)))

localize3.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
✓	0.4b	(*.f64 1/24 (pow.f64 x 3))

Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	0	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
0.0ms	x	@	inf	(*.f64 1/24 (pow.f64 x 3))
0.0ms	x	@	0	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1878×	`rational_best-5`
1876×	`rational_best-4`
1876×	`rational_best-2`
1876×	`rational_best-3`
1876×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	72	38
2	217	38
3	873	38
4	3749	38

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/12) 2)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (/.f64 1 (/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (*.f64 (/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) (/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (/.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 2) 2)))))

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational_best-simplify-80`
1258×	`rational_best-simplify-129`
1248×	`rational_best-simplify-78`
1186×	`rational_best-simplify-94`
1062×	`rational_best-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	536
1	96	536
2	534	536
3	3314	536

Stop Event

1×	node limit

Counts

26 → 26

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(/.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3))))
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 0)
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 1 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))) (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 2) 2)

Outputs
(*.f64 1/2 x)
(*.f64 1/24 (pow.f64 x 3))
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1)
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (.f64 1/24 (pow.f64 x 3)) (/.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 1/24 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2)
(*.f64 1/24 (pow.f64 x 3))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 0)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 1 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))) (.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(.f64 (/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)))) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (/.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 x 1/2))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))
(/.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 2) 2)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/2 x))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 5)
✓	0.0b	(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
✓	0.1b	(*.f64 1/240 (pow.f64 x 5))
	0.4b	(*.f64 1/24 (pow.f64 x 3))

Compiler

Compiled 52 to 41 computations (21.2% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 x 5)
1.0ms	x	@	-inf	(pow.f64 x 5)
0.0ms	x	@	0	(*.f64 1/240 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 1/240 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 1/240 (pow.f64 x 5))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`rational_best-simplify-57`
672×	`rational_best-simplify-80`
596×	`rational_best-simplify-49`
588×	`rational_best-simplify-43`
518×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	85	51
2	248	51
3	988	51
4	4315	51

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(pow.f64 x 5)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/240 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/240 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/240 (pow.f64 x 5)) (/.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/120) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 5) 1/120)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) (/.f64 1 (/.f64 (+.f64 (*.f64 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simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best-simplify-129`
1104×	`rational_best-simplify-80`
1010×	`rational_best-simplify-78`
948×	`rational_best-simplify-2`
898×	`rational_best-simplify-94`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1639
1	264	1639
2	1083	1639
3	3842	1639

Stop Event

1×	node limit

Counts

85 → 79

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(-.f64 0 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(/.f64 (.f64 1/240 (pow.f64 x 5)) (/.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 5) 1/120)) -2)
(neg.f64 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) 0)
(-.f64 0 (neg.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)
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(.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))
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(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))))
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(.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))) (/.f64 (/.f64 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))))
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(.f64 (/.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))))))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))))) (.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) 1)
(/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 5) 1/120)) 2)
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 5) 1/120))) -2)
(neg.f64 (neg.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (pow.f64 x 5) 0)
(+.f64 0 (pow.f64 x 5))
(-.f64 (pow.f64 x 5) 0)
(-.f64 0 (neg.f64 (pow.f64 x 5)))
(*.f64 (pow.f64 x 5) 1)
(*.f64 (pow.f64 x 5) (/.f64 (pow.f64 x 5) (pow.f64 x 5)))
(.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))))
(*.f64 (pow.f64 x 5) (/.f64 1 (/.f64 (pow.f64 x 5) (pow.f64 x 5))))
(*.f64 1 (pow.f64 x 5))
(*.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5))
(.f64 (/.f64 1 (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5)))
(.f64 (.f64 (pow.f64 x 5) (pow.f64 x 5)) (/.f64 1 (pow.f64 x 5)))
(.f64 (.f64 (pow.f64 x 5) (pow.f64 x 5)) (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5)))
(.f64 (.f64 (pow.f64 x 5) (pow.f64 x 5)) (/.f64 (*.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5)))
(.f64 (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 5) (pow.f64 x 5))) (pow.f64 x 5))
(.f64 (/.f64 1 (/.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (/.f64 (pow.f64 x 5) (pow.f64 x 5)))))
(.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (/.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 (pow.f64 x 5) (pow.f64 x 5))))
(.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (/.f64 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5)) (*.f64 (pow.f64 x 5) (pow.f64 x 5))))
(.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (/.f64 (/.f64 (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))))
(.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 5) (pow.f64 x 5)))))
(.f64 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5)))
(.f64 (/.f64 (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5)) (*.f64 (pow.f64 x 5) (pow.f64 x 5)))
(.f64 (.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5))))) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5))))))
(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 5) (pow.f64 x 5)))))
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5))))) (.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 x 5) (pow.f64 x 5))) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5)))
(/.f64 (pow.f64 x 5) 1)
(/.f64 (pow.f64 x 5) (/.f64 (pow.f64 x 5) (pow.f64 x 5)))
(/.f64 (*.f64 (pow.f64 x 5) 2) 2)
(/.f64 (*.f64 (neg.f64 (pow.f64 x 5)) 2) -2)
(neg.f64 (neg.f64 (pow.f64 x 5)))

Outputs
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(*.f64 1/240 (pow.f64 x 5))
(-.f64 0 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (.f64 1/240 (pow.f64 x 5)) (/.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 5))))
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2)
(*.f64 1/240 (pow.f64 x 5))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 5) 1/120)) -2)
(*.f64 1/240 (pow.f64 x 5))
(neg.f64 (neg.f64 (*.f64 1/240 (pow.f64 x 5))))
(*.f64 1/240 (pow.f64 x 5))
(-.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) 0)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(-.f64 0 (neg.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))))
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(.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (/.f64 1 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
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(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
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(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
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(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))))) (.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) 1)
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (/.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 5) 1/120)) 2)
(/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/120) (.f64 (pow.f64 x 3) 1/12)) 2)
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 5) 1/120))) -2)
(/.f64 (+.f64 (.f64 (pow.f64 x 5) 1/120) (.f64 (pow.f64 x 3) 1/12)) 2)
(neg.f64 (neg.f64 (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (pow.f64 x 5) 0)
(pow.f64 x 5)
(+.f64 0 (pow.f64 x 5))
(pow.f64 x 5)
(-.f64 (pow.f64 x 5) 0)
(pow.f64 x 5)
(-.f64 0 (neg.f64 (pow.f64 x 5)))
(pow.f64 x 5)
(*.f64 (pow.f64 x 5) 1)
(pow.f64 x 5)
(*.f64 (pow.f64 x 5) (/.f64 (pow.f64 x 5) (pow.f64 x 5)))
(pow.f64 x 5)
(.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))))
(pow.f64 x 5)
(*.f64 (pow.f64 x 5) (/.f64 1 (/.f64 (pow.f64 x 5) (pow.f64 x 5))))
(pow.f64 x 5)
(*.f64 1 (pow.f64 x 5))
(pow.f64 x 5)
(*.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5))
(pow.f64 x 5)
(.f64 (/.f64 1 (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5)))
(pow.f64 x 5)
(.f64 (.f64 (pow.f64 x 5) (pow.f64 x 5)) (/.f64 1 (pow.f64 x 5)))
(pow.f64 x 5)
(.f64 (.f64 (pow.f64 x 5) (pow.f64 x 5)) (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5)))
(pow.f64 x 5)
(.f64 (.f64 (pow.f64 x 5) (pow.f64 x 5)) (/.f64 (*.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5)))
(pow.f64 x 5)
(.f64 (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5))
(pow.f64 x 5)
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 5) (pow.f64 x 5))) (pow.f64 x 5))
(pow.f64 x 5)
(.f64 (/.f64 1 (/.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (/.f64 (pow.f64 x 5) (pow.f64 x 5)))))
(pow.f64 x 5)
(.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (/.f64 (/.f64 1 (pow.f64 x 5)) (*.f64 (pow.f64 x 5) (pow.f64 x 5))))
(pow.f64 x 5)
(.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (/.f64 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5)) (*.f64 (pow.f64 x 5) (pow.f64 x 5))))
(pow.f64 x 5)
(.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (/.f64 (/.f64 (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))))
(pow.f64 x 5)
(.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 5) (pow.f64 x 5)))))
(pow.f64 x 5)
(.f64 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5)))
(pow.f64 x 5)
(.f64 (/.f64 (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5)) (*.f64 (pow.f64 x 5) (pow.f64 x 5)))
(pow.f64 x 5)
(.f64 (.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5))))) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5))))))
(pow.f64 x 5)
(.f64 (/.f64 (/.f64 (/.f64 (pow.f64 x 5) (pow.f64 x 5)) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 5) (pow.f64 x 5)))))
(pow.f64 x 5)
(.f64 (/.f64 (/.f64 (.f64 (pow.f64 x 5) (/.f64 1 (pow.f64 x 5))) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))))
(pow.f64 x 5)
(.f64 (/.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5))))) (.f64 (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5)))) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (.f64 (pow.f64 x 5) (pow.f64 x 5))))))
(pow.f64 x 5)
(.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 x 5) (pow.f64 x 5))) (pow.f64 x 5)) (.f64 (pow.f64 x 5) (pow.f64 x 5)))
(pow.f64 x 5)
(/.f64 (pow.f64 x 5) 1)
(pow.f64 x 5)
(/.f64 (pow.f64 x 5) (/.f64 (pow.f64 x 5) (pow.f64 x 5)))
(pow.f64 x 5)
(/.f64 (*.f64 (pow.f64 x 5) 2) 2)
(pow.f64 x 5)
(/.f64 (*.f64 (neg.f64 (pow.f64 x 5)) 2) -2)
(pow.f64 x 5)
(neg.f64 (neg.f64 (pow.f64 x 5)))
(pow.f64 x 5)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
✓	0.1b	(*.f64 17/40320 (pow.f64 x 7))
	0.1b	(*.f64 1/240 (pow.f64 x 5))
	0.4b	(*.f64 1/24 (pow.f64 x 3))

Compiler

Compiled 85 to 68 computations (20% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 17/40320 (pow.f64 x 7))
0.0ms	x	@	-inf	(*.f64 17/40320 (pow.f64 x 7))
0.0ms	x	@	inf	(*.f64 17/40320 (pow.f64 x 7))
0.0ms	x	@	inf	(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
0.0ms	x	@	-inf	(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`rational_best-simplify-57`
746×	`rational_best-simplify-44`
674×	`rational_best-5`
672×	`rational_best-4`
672×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	122	62
2	354	62
3	1410	62
4	6192	62

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 17/40320 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 17/40320 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 17/40320 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 17/40320 (pow.f64 x 7)) (/.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 17/40320 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 7) 17/20160) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 17/40320 (pow.f64 x 7))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (/.f64 1 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))) (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (*.f64 (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))) (*.f64 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))))))

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational_best-simplify-80`
1324×	`rational_best-simplify-129`
1288×	`rational_best-simplify-78`
1226×	`rational_best-simplify-94`
1122×	`rational_best-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1510
1	136	1510
2	644	1510
3	3607	1510

Stop Event

1×	node limit

Counts

40 → 36

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)
(+.f64 0 (*.f64 17/40320 (pow.f64 x 7)))
(-.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)
(-.f64 0 (neg.f64 (*.f64 17/40320 (pow.f64 x 7))))
(/.f64 (*.f64 17/40320 (pow.f64 x 7)) 1)
(/.f64 (.f64 17/40320 (pow.f64 x 7)) (/.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 17/40320 (pow.f64 x 7))))
(/.f64 (*.f64 (pow.f64 x 7) 17/20160) 2)
(neg.f64 (neg.f64 (*.f64 17/40320 (pow.f64 x 7))))
(-.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) 0)
(-.f64 0 (neg.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) 1)
(.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))))
(.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))))
(.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))))
(.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(.f64 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(.f64 (/.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (/.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))) (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))) (.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) 1)
(/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(/.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) 2) 2)
(neg.f64 (neg.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))

Outputs
(*.f64 1/24 (pow.f64 x 3))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)
(*.f64 17/40320 (pow.f64 x 7))
(+.f64 0 (*.f64 17/40320 (pow.f64 x 7)))
(*.f64 17/40320 (pow.f64 x 7))
(-.f64 (*.f64 17/40320 (pow.f64 x 7)) 0)
(*.f64 17/40320 (pow.f64 x 7))
(-.f64 0 (neg.f64 (*.f64 17/40320 (pow.f64 x 7))))
(*.f64 17/40320 (pow.f64 x 7))
(/.f64 (*.f64 17/40320 (pow.f64 x 7)) 1)
(*.f64 17/40320 (pow.f64 x 7))
(/.f64 (.f64 17/40320 (pow.f64 x 7)) (/.f64 (.f64 17/40320 (pow.f64 x 7)) (*.f64 17/40320 (pow.f64 x 7))))
(*.f64 17/40320 (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 x 7) 17/20160) 2)
(*.f64 17/40320 (pow.f64 x 7))
(neg.f64 (neg.f64 (*.f64 17/40320 (pow.f64 x 7))))
(*.f64 17/40320 (pow.f64 x 7))
(-.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) 0)
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(-.f64 0 (neg.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) 1)
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))))
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(.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
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(.f64 (/.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
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(.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5))))) (/.f64 1 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
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(/.f64 (.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) 2) 2)
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(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))
(neg.f64 (neg.f64 (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))))
(+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))

eval280.0ms (1.4%)

Compiler: Compiled 8855 to 6754 computations (23.7% saved)

prune53.0ms (0.3%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	282	4	286
Fresh	0	2	2
Picked	0	1	1
Done	0	5	5
Total	282	12	294

Error

0.4b

Counts

294 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	28.1b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
✓	28.1b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (sin.f64 x))
▶	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
▶	28.1b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
▶	28.1b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
✓	35.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
✓	35.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	35.6b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
▶	28.1b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
✓	35.1b	(*.f64 1/2 x)

Compiler

Compiled 436 to 306 computations (29.8% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
✓	0.2b	(.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
✓	0.3b	(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 154 to 105 computations (31.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite173.0ms (0.9%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

894×	`rational_best-simplify-47`
894×	`rational_best-simplify-47`
832×	`rational_best-5`
832×	`rational_best-2`
832×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	79
1	96	79
2	381	79
3	1560	79
4	6947	79
0	9	39
1	76	39
2	311	39
3	1212	39
4	5792	39
0	9	39
1	76	39
2	311	39
0	11	17
1	96	17
2	381	17
3	1559	17
4	6946	17
0	11	17
1	96	17
2	381	17
0	9	23
1	75	23
2	306	23
3	1189	23
4	5380	23
0	9	23
1	75	23
2	306	23

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 26

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))

(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))

(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))

Outputs

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

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

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

simplify178.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1630×	`rational_best-simplify-78`
1092×	`rational_best-simplify-132`
1038×	`rational_best-simplify-80`
802×	`rational_best-simplify-44`
754×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1598
1	185	1598
2	325	1598
3	745	1598
4	2543	1598
5	5337	1598

Stop Event

1×	node limit

Counts

62 → 61

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 x 4))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 2/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 11/180 (.f64 2/3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 11/180 (+.f64 (.f64 31/7560 (pow.f64 x 2)) (*.f64 2/3 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) 2)
(fabs.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 0 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) 2)
(+.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(-.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(*.f64 1 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(.f64 (/.f64 1 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))) (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))) (/.f64 1 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))

Outputs
(/.f64 4 (pow.f64 x 4))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 2/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 11/180 (.f64 2/3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 2))) 11/180))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) 11/180))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 11/180 (+.f64 (.f64 31/7560 (pow.f64 x 2)) (*.f64 2/3 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 2) 31/7560) 11/180)))
(+.f64 11/180 (+.f64 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 31/7560)) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 11/180 (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 31/7560))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 2))) (+.f64 11/180 (*.f64 (pow.f64 x 2) 31/7560))))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 1/6 (.f64 (pow.f64 x 2) 1/120)))
(+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/120)))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 x 2) 1/120) (+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) 1/3024))))
(+.f64 1/6 (+.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 4) 1/3024)) (*.f64 (pow.f64 x 2) 1/120)))
(+.f64 1/6 (+.f64 (.f64 (pow.f64 x 2) 1/120) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 4) 1/3024))))
(+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) 1/120) (*.f64 (pow.f64 x 4) 1/3024))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 4) -1/24))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (.f64 (pow.f64 x 4) -1/24) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 2) 1/2) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 1/720 (pow.f64 x 6))) (.f64 -1/40320 (pow.f64 x 8))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 4) -1/24)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 0 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2)) 2)
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(fabs.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(fabs.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(fabs.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (-.f64 0 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 0)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 2) 2)
(/.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 0 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 1 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (/.f64 1 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))) (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))) (/.f64 1 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
✓	0.2b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
✓	0.3b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 61 to 36 computations (41% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite194.0ms (1%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

958×	`rational_best-simplify-47`
958×	`rational_best-simplify-47`
930×	`rational_best-5`
930×	`rational_best-2`
930×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	108	59
2	424	59
3	1733	59
4	7880	59
0	8	27
1	69	27
2	287	27
3	1108	27
4	5275	27
0	8	27
1	69	27
2	287	27
0	10	11
1	89	11
2	357	11
3	1451	11
4	6547	11
0	10	11
1	89	11
2	357	11
0	12	21
1	108	21
2	424	21
3	1736	21
4	7883	21
0	12	21
1	108	21
2	424	21

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 30

Calls

Call 1

Inputs

(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))

(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))

(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))

Outputs

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

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

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

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1112×	`rational_best-simplify-80`
1028×	`rational_best-simplify-78`
872×	`rational_best-simplify-44`
864×	`rational_best-simplify-129`
860×	`rational_best-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1428
1	222	1428
2	378	1428
3	793	1428
4	3748	1428

Stop Event

1×	node limit

Counts

66 → 66

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (-.f64 2 (+.f64 (cis.f64 x) (cis.f64 (neg.f64 x)))) 2)
(neg.f64 (+.f64 (cos.f64 x) -1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (.f64 1/320 (pow.f64 x 8)))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/320 (pow.f64 x 8)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 6) 1/720)))
(+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) 1/720)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)))
(+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 2 (+.f64 (cis.f64 x) (cis.f64 (neg.f64 x)))) 2)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
✓	0.2b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
✓	0.2b	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 67 to 34 computations (49.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
1.0ms	x	@	-inf	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
0.0ms	x	@	0	(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

rewrite189.0ms (0.9%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

958×	`rational_best-simplify-47`
958×	`rational_best-simplify-47`
930×	`rational_best-5`
930×	`rational_best-2`
930×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	95
1	107	95
2	423	95
3	1738	95
4	7859	95
0	10	47
1	87	47
2	353	47
3	1389	47
4	6770	47
0	10	47
1	87	47
2	353	47
0	12	21
1	107	21
2	423	21
3	1735	21
4	7854	21
0	12	21
1	107	21
2	423	21
0	10	27
1	86	27
2	348	27
3	1366	27
4	6373	27
0	10	27
1	86	27
2	348	27

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 26

Calls

Call 1

Inputs

(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

Outputs

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

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

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

simplify182.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1630×	`rational_best-simplify-78`
1092×	`rational_best-simplify-132`
1038×	`rational_best-simplify-80`
792×	`rational_best-simplify-44`
750×	`rational_best-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1892
1	194	1892
2	330	1892
3	753	1892
4	2572	1892
5	5369	1892

Stop Event

1×	node limit

Counts

62 → 62

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 31/40320 (pow.f64 x 8)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 x)
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5)))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(+.f64 0 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) 2)
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(+.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(+.f64 0 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(*.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))

Outputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 17/2880 (pow.f64 x 6))))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 17/2880 (pow.f64 x 6))))
(+.f64 (.f64 31/40320 (pow.f64 x 8)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (.f64 31/40320 (pow.f64 x 8))))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (.f64 31/40320 (pow.f64 x 8)))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 2 x)
(+.f64 (.f64 -1/6 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))) (*.f64 (pow.f64 x 3) -1/360))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 x -1/6) (*.f64 (pow.f64 x 3) -1/360)))
(+.f64 (.f64 x -1/6) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 3) -1/360)))
(+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/6 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/15120 (pow.f64 x 5)))))
(+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x)))))
(+.f64 (+.f64 (.f64 x -1/6) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 x 5) -1/15120) (.f64 (pow.f64 x 3) -1/360)))
(+.f64 (.f64 x -1/6) (+.f64 (.f64 (pow.f64 x 3) -1/360) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (pow.f64 x 5) -1/15120))))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 0 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 0 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 0 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 0)
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
✓	0.2b	(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))
	0.2b	(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 144 to 91 computations (36.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite136.0ms (0.7%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

816×	`rational_best-5`
816×	`rational_best-2`
816×	`rational_best-3`
816×	`rational_best-1`
816×	`rational_best-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	168
1	128	54
2	490	54
3	1652	54
4	7702	54
0	12	71
1	101	33
2	396	33
3	1343	33
4	6756	33
0	12	71
1	101	33
2	396	33
0	15	97
1	128	21
2	490	21
3	1652	21
4	7702	21
0	15	97
1	128	21
2	490	21

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 19

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))

(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))

Outputs

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

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

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational_best-simplify-2`
760×	`rational_best-simplify-82`
718×	`rational_best-simplify-1`
702×	`rational_best-simplify-47`
692×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	847
1	143	847
2	319	847
3	962	847
4	2479	847
5	4784	847

Stop Event

1×	node limit

Counts

43 → 38

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 0 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 0 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(.f64 (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))
	0.2b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
	0.3b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 142 to 89 computations (37.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))

0.0ms

-inf

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))

0.0ms

inf

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))

rewrite59.0ms (0.3%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

1082×	`rational_best-simplify-47`
850×	`rational_best-5`
850×	`rational_best-2`
850×	`rational_best-3`
850×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	107	33
2	386	33
3	1593	33
4	7509	33
0	12	33
1	107	33
2	386	33

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))

Outputs

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

simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational_best-simplify-44`
928×	`rational_best-simplify-54`
920×	`rational_best-simplify-132`
712×	`rational_best-simplify-80`
636×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	441
1	117	441
2	296	441
3	902	441
4	3804	441
5	7153	441

Stop Event

1×	node limit

Counts

25 → 16

Calls

Call 1

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

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

eval377.0ms (1.9%)

Compiler: Compiled 26807 to 17712 computations (33.9% saved)

prune171.0ms (0.8%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	788	14	802
Fresh	1	0	1
Picked	1	0	1
Done	4	6	10
Total	794	20	814

Error

0.3b

Counts

814 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
▶	28.1b	(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
▶	28.2b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (sin.f64 x))
	28.1b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
✓	28.1b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
▶	28.1b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
▶	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (sin.f64 x))
	28.1b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
✓	35.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
✓	35.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	35.6b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	28.2b	(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
▶	28.2b	(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
	28.2b	(.f64 (/.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
	28.2b	(.f64 (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
✓	35.1b	(*.f64 1/2 x)

Compiler

Compiled 1030 to 712 computations (30.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
✓	0.3b	(pow.f64 (-.f64 1 (cos.f64 x)) 2)
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 53 to 34 computations (35.8% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite167.0ms (0.8%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

828×	`rational_best-5`
828×	`rational_best-2`
828×	`rational_best-3`
828×	`rational_best-1`
828×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	105
1	106	105
2	399	105
3	1591	105
4	7450	105
0	9	17
1	73	17
2	283	17
3	1091	17
4	4842	17
0	9	17
1	73	17
2	283	17
0	11	39
1	88	39
2	333	39
3	1312	39
4	5958	39
0	11	39
1	88	39
2	333	39
0	13	49
1	106	49
2	399	49
3	1593	49
4	7452	49
0	13	49
1	106	49
2	399	49

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 27

Calls

Call 1

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

Outputs

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

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

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

simplify184.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1242×	`rational_best-simplify-2`
1060×	`rational_best-simplify-80`
894×	`rational_best-simplify-78`
802×	`rational_best-simplify-43`
758×	`rational_best-simplify-132`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1591
1	196	1591
2	443	1591
3	1703	1591
4	3381	1591
5	5699	1591

Stop Event

1×	node limit

Counts

55 → 64

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 2) 2)
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(+.f64 0 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 2)) 2)
(+.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(-.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) 0)
(.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))) (.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))))
(.f64 (.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))))

Outputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/320 (pow.f64 x 8))) (.f64 -17/120960 (pow.f64 x 10))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (.f64 -17/120960 (pow.f64 x 10)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 6) 1/720)))
(+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) 1/720)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 17/40320 (pow.f64 x 7))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 x 1/2)))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 x 1/2) (.f64 1/24 (pow.f64 x 3))) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 2) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 0 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 0)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 2)) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) 0)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(+.f64 0 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(-.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) 0)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (.f64 (/.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))) (.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(.f64 (.f64 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 x) 2)
	0.3b	(pow.f64 (-.f64 1 (cos.f64 x)) 2)
	1.7b	(-.f64 1 (cos.f64 x))
✓	14.0b	(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))

Compiler

Compiled 70 to 41 computations (41.4% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite116.0ms (0.6%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

768×	`rational_best-5`
768×	`rational_best-2`
768×	`rational_best-3`
768×	`rational_best-1`
768×	`rational_best-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	98	44
2	374	44
3	1477	44
4	6809	44
0	12	33
1	98	33
2	374	33
3	1477	33
4	6809	33
0	12	33
1	98	33
2	374	33
0	7	11
1	62	11
2	250	11
3	962	11
4	4406	11
0	7	11
1	62	11
2	250	11

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 21

Calls

Call 1

Inputs
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)

Outputs

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

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

simplify214.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational_best-simplify-132`
914×	`rational_best-simplify-54`
860×	`rational_best-simplify-2`
798×	`rational_best-simplify-80`
764×	`rational_best-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	725
1	133	725
2	318	725
3	1236	725
4	3339	725
5	7153	725

Stop Event

1×	node limit

Counts

29 → 45

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 31/40320 (pow.f64 x 8)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)
(+.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)
(*.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 1)
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 2) 2)

Outputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 17/2880 (pow.f64 x 6))))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 17/2880 (pow.f64 x 6))))
(+.f64 (.f64 31/40320 (pow.f64 x 8)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (.f64 31/40320 (pow.f64 x 8))))
(+.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 17/2880 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 31/40320 (pow.f64 x 8))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 17/2880 (pow.f64 x 6))) (.f64 31/40320 (pow.f64 x 8))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 31/40320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 17/2880 (pow.f64 x 6)))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 17/2880 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 31/40320 (pow.f64 x 8)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 6) 2/45)))
(+.f64 (.f64 (pow.f64 x 6) 2/45) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) -1/3)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) -1/3) (.f64 (pow.f64 x 6) 2/45)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 6) 2/45) (*.f64 (pow.f64 x 8) -1/315))))
(+.f64 (.f64 (pow.f64 x 8) -1/315) (+.f64 (.f64 (pow.f64 x 6) 2/45) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3))))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (.f64 (pow.f64 x 6) 2/45) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 8) -1/315))))
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(+.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(-.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 1)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(.f64 (.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 2) 2)
(pow.f64 (sin.f64 x) 2)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
✓	0.2b	(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
	0.3b	(pow.f64 (-.f64 1 (cos.f64 x)) 2)
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 136 to 95 computations (30.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))

0.0ms

inf

(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))

0.0ms

-inf

(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))

rewrite168.0ms (0.8%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

782×	`rational_best-5`
782×	`rational_best-2`
782×	`rational_best-3`
782×	`rational_best-1`
780×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	102	51
2	381	51
3	1517	51
4	6976	51
0	13	51
1	102	51
2	381	51

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify216.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational_best-simplify-44`
1222×	`rational_best-simplify-132`
1104×	`rational_best-simplify-129`
1064×	`rational_best-simplify-80`
924×	`rational_best-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	584
1	71	584
2	134	584
3	270	584
4	936	584
5	3032	584
6	5280	584

Stop Event

1×	node limit

Counts

18 → 19

Calls

Call 1

Inputs
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 0)
(+.f64 0 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(-.f64 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 0)
(/.f64 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1)
(/.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 2) 2)

Outputs
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 1/6 (.f64 (pow.f64 x 2) 1/120)))
(+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/120)))
(+.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 x 2) 1/120) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3024 (pow.f64 x 4)) 1/6)))
(+.f64 (.f64 (pow.f64 x 2) 1/120) (+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3024 (pow.f64 x 4)))))
(+.f64 1/6 (+.f64 (.f64 (pow.f64 x 2) 1/120) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3024 (pow.f64 x 4)))))
(+.f64 (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/120) (*.f64 1/3024 (pow.f64 x 4))))
(+.f64 1/6 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 x 2) 1/120) (*.f64 1/3024 (pow.f64 x 4)))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 0)
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 0 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(-.f64 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 0)
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 1)
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) 2) 2)
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))

localize109.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
	0.3b	(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
✓	0.3b	(.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 122 to 75 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite352.0ms (1.7%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

880×	`rational_best-simplify-47`
880×	`rational_best-simplify-47`
880×	`rational_best-simplify-47`
798×	`rational_best-5`
798×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	111	38
2	387	38
3	1513	38
4	6852	38
0	11	27
1	100	27
2	376	27
3	1501	27
4	6838	27
0	11	27
1	100	27
2	376	27
0	12	11
1	111	11
2	387	11
3	1513	11
4	6852	11
0	12	11
1	111	11
2	387	11

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 38

Calls

Call 1

Inputs

(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))

(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))

Outputs

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

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

simplify354.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1348×	`rational_best-simplify-2`
926×	`rational_best-simplify-80`
888×	`rational_best-simplify-94`
884×	`rational_best-simplify-78`
768×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1394
1	326	1394
2	702	1394
3	1967	1394
4	4435	1394
5	7820	1394

Stop Event

1×	node limit

Counts

62 → 62

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(fabs.f64 (.f64 1 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(fabs.f64 (.f64 1 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 0 (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(/.f64 (-.f64 0 (-.f64 (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x))) 2)) 2)
(neg.f64 (+.f64 (cos.f64 x) -1))

Outputs
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (.f64 1/4 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 6)))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (*.f64 -1/24 (pow.f64 x 6))))
(+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/24 (pow.f64 x 6)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -17/120960 (pow.f64 x 10)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -17/120960 (pow.f64 x 10)) (.f64 1/320 (pow.f64 x 8)))))
(+.f64 (.f64 -1/24 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 1/320 (pow.f64 x 8)) (.f64 -17/120960 (pow.f64 x 10)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 6) 1/720)))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)) (*.f64 (pow.f64 x 6) 1/720))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/24)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320))))
(+.f64 (.f64 (pow.f64 x 4) -1/24) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 6) 1/720) (.f64 (pow.f64 x 8) -1/40320))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 0)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) 2)) 2)
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 1 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(fabs.f64 (.f64 1 (.f64 (.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))
(*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (+.f64 (cos.f64 x) -1))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(-.f64 0 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 0 (-.f64 (+.f64 (cis.f64 x) (/.f64 1 (cis.f64 x))) 2)) 2)
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))

localize295.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))
	0.2b	(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
✓	0.2b	(.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x)))
	1.7b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 243 to 156 computations (35.8% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite203.0ms (1%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

1050×	`rational_best-simplify-135`
1050×	`rational_best-simplify-135`
1038×	`rational_best-simplify-135`
1006×	`rational_best-simplify-47`
1006×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	218
1	121	66
2	480	66
3	1515	66
4	7672	66
0	14	109
1	121	33
2	480	33
3	1515	33
4	7672	33
0	14	109
1	121	33
2	480	33
0	11	71
1	96	33
2	383	33
3	1408	33
4	7493	33
0	11	71
1	96	33
2	383	33

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 20

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x)))

(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))

Outputs

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

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

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1826×	`rational_best-simplify-80`
1752×	`rational_best-simplify-78`
1306×	`rational_best-simplify-135`
1196×	`rational_best-simplify-44`
664×	`rational_best-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	708
1	79	708
2	208	708
3	673	708
4	4967	708

Stop Event

1×	node limit

Counts

44 → 14

Calls

Call 1

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

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

eval540.0ms (2.7%)

Compiler: Compiled 28613 to 19327 computations (32.5% saved)

prune464.0ms (2.3%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	778	10	788
Fresh	3	6	9
Picked	1	0	1
Done	2	8	10
Total	784	24	808

Error

0.3b

Counts

808 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.5b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓	28.1b	(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
	28.3b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 2)) (sin.f64 x))
	28.2b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (sin.f64 x))
	28.2b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (sin.f64 x))
	28.1b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
✓	28.1b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.3b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.3b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (sin.f64 x))
	28.2b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
	28.1b	(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
✓	35.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
✓	35.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
✓	35.6b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
	28.2b	(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
✓	28.2b	(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
	28.3b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
	28.2b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (sin.f64 x) 2)))
	28.2b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
	28.2b	(.f64 (/.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
	28.2b	(.f64 (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
✓	35.1b	(*.f64 1/2 x)

Compiler

Compiled 701 to 497 computations (29.1% saved)

regimes251.0ms (1.2%)

Counts

36 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 2)) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (sin.f64 x))
(/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (fabs.f64 (.f64 (fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(.f64 (/.f64 1 (/.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (sin.f64 x))) (.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) 2))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x))))) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (sin.f64 x))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (sin.f64 x) 2)))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (.f64 (/.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))

Outputs

(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x))

(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))))

(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

184.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
46.0ms	x

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 1066 to 677 computations (36.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.01678708858402997	0.031113029240386527
0.0ms	-0.003130742277810408	-0.002285668937552298

Compiler

Compiled 12 to 9 computations (25% saved)

regimes101.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x))

Outputs

(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))))

(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

86.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
13.0ms	x

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 82 to 61 computations (25.6% saved)

bsearch41.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.033571023895847395	0.36116432587789987
26.0ms	-436.9726742497645	-0.00457132991447912

Results

37.0ms

240×

body

256

valid

Compiler

Compiled 492 to 399 computations (18.9% saved)

regimes131.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

120.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
10.0ms	x

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 45 to 34 computations (24.4% saved)

bsearch130.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
106.0ms	1.2963994887622133e-17	0.033571023895847395
24.0ms	-436.9726742497645	-0.00457132991447912

Results

126.0ms

304×

body

256

valid

Compiler

Compiled 506 to 408 computations (19.4% saved)

regimes23.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1/2 x)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Calls

2 calls:

12.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
9.0ms	x

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch147.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
125.0ms	1.2963994887622133e-17	0.033571023895847395
23.0ms	-0.00457132991447912	-7.684577156250967e-11

Results

143.0ms

304×

body

256

valid

Compiler

Compiled 278 to 218 computations (21.6% saved)

regimes4.0ms (0%)

Accuracy

Total -0.7b remaining (-2%)

Threshold costs -0.7b (-2%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))

Outputs
(*.f64 1/2 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
35.1b	1	`x`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	497

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -3458764513820541/1152921504606846976) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 5764607523034235/288230376151711744) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -1080863910568919/18014398509481984) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 1080863910568919/18014398509481984) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -3458764513820541/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 3386706919782613/144115188075855872) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -4980620899901579/36893488147419103232) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 48999163945791/288230376151711744) (*.f64 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1/2 x)

Outputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -3458764513820541/1152921504606846976) (/.f64 (.f64 (-.f64 1 (cos.f64 x)) (.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 5764607523034235/288230376151711744) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -1080863910568919/18014398509481984) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 1080863910568919/18014398509481984) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 17/40320 (pow.f64 x 7))))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -3458764513820541/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 3386706919782613/144115188075855872) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -4980620899901579/36893488147419103232) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 x 48999163945791/288230376151711744) (*.f64 1/2 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1/2 x)

Compiler

Compiled 180 to 125 computations (30.6% saved)

soundness271.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1210×	`rational_best-simplify-132`
858×	`rational_best-simplify-2`
800×	`rational_best-simplify-54`
756×	`rational_best-simplify-80`
724×	`rational_best-simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	703
1	170	703
2	364	651
3	1291	651
4	3307	651
5	7002	651

Stop Event

1×	node limit

Compiler

Compiled 64 to 52 computations (18.8% saved)

end94.0ms (0.5%)

Compiler: Compiled 176 to 115 computations (34.7% saved)