Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
100%	49.6%	0%	50.4%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample7.3s (76%)

Results

5.4s	4366×	body	2048	valid
1.2s	2071×	body	1024	valid
486.0ms	1068×	body	512	valid
206.0ms	751×	body	256	valid

Bogosity

preprocess85.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1228×	`rational.json-simplify-1`
1206×	`rational.json-simplify-64`
888×	`rational.json-simplify-46`
738×	`trig.json-simplify-41`
658×	`trig.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	15	11
2	26	11
3	42	11
4	66	11
5	131	11
6	327	11
7	1233	11
8	3157	11
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1228×	`rational.json-simplify-1`
1206×	`rational.json-simplify-64`
888×	`rational.json-simplify-46`
738×	`trig.json-simplify-41`
658×	`trig.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	15	11
2	26	11
3	42	11
4	66	11
5	131	11
6	327	11
7	1233	11
8	3157	11

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

29.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.6b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(-.f64 1 (cos.f64 x))

Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`rational.json-simplify-2`
740×	`rational.json-simplify-42`
636×	`rational.json-simplify-45`
630×	`rational.json-simplify-1`
616×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	65	11
2	241	11
3	1006	11
4	4783	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

simplify237.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

946×	`rational.json-simplify-49`
852×	`rational.json-simplify-111`
682×	`rational.json-simplify-58`
640×	`rational.json-simplify-54`
638×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	505
1	131	413
2	354	413
3	1207	413
4	3853	413
5	6387	413

Stop Event

1×	node limit

Counts

27 → 31

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

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 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 -1/40320 (pow.f64 x 8)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/720 (pow.f64 x 6)))))
(+.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 (neg.f64 (cos.f64 x)) 1)
(+.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 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(+.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 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.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 (cos.f64 x) -1)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (+.f64 (cos.f64 x) -1))
(+.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 (-.f64 1 (cos.f64 x)) (-.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 1 (cos.f64 x)))))
(+.f64 1 (neg.f64 (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)))) (.f64 (.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 (.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 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)))) (.f64 (.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)) 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 (cos.f64 x) -1) -1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(+.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))

eval8.0ms (0.1%)

Compiler: Compiled 470 to 313 computations (33.4% saved)

prune6.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Error

0.0b

Counts

32 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.6b	(-.f64 1 (cos.f64 x))
▶	0.0b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
▶	0.1b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
▶	0.9b	(*.f64 1/2 (pow.f64 x 2))

Compiler

Compiled 41 to 34 computations (17.1% saved)

localize9.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
✓	0.1b	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
1.0ms	x	@	0	(*.f64 -1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 -1/24 (pow.f64 x 4))
0.0ms	x	@	0	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))

rewrite112.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`rational.json-5`
1798×	`exponential.json-3`
1798×	`rational.json-1`
1798×	`rational.json-2`
1798×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	97	44
2	272	44
3	951	44
4	3589	44

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/24 (pow.f64 x 4)) (/.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/24 (pow.f64 x 4)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))) (/.f64 (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/24 (pow.f64 x 4)) (/.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))) (/.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (/.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))) (/.f64 (/.f64 1 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) 1)))))

simplify226.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-58`
964×	`rational.json-simplify-47`
658×	`rational.json-simplify-2`
658×	`rational.json-simplify-49`
638×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	458
1	68	458
2	232	458
3	1063	458
4	3820	458
5	6371	458

Stop Event

1×	node limit

Counts

20 → 20

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(-.f64 (*.f64 -1/24 (pow.f64 x 4)) 0)
(/.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(/.f64 (.f64 -1/24 (pow.f64 x 4)) (/.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) 0)
(.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) 1)
(.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))) 1))
(.f64 (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))) (/.f64 (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) 1)
(/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(pow.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) 1)

Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) 0)
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (*.f64 -1/24 (pow.f64 x 4)) 0)
(*.f64 -1/24 (pow.f64 x 4))
(/.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(/.f64 (.f64 -1/24 (pow.f64 x 4)) (/.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) 0)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))) 1))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))) (/.f64 (/.f64 1 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(pow.f64 (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
✓	0.0b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
✓	0.1b	(*.f64 1/720 (pow.f64 x 6))
	0.1b	(*.f64 -1/24 (pow.f64 x 4))

Compiler

Compiled 60 to 48 computations (20% saved)

series2.0ms (0%)

Counts

3 → 9

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/720 (pow.f64 x 6))
0.0ms	x	@	inf	(*.f64 1/720 (pow.f64 x 6))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
0.0ms	x	@	inf	(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))

rewrite288.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`rational.json-simplify-54`
870×	`rational.json-simplify-47`
828×	`rational.json-simplify-49`
644×	`rational.json-simplify-1`
592×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	93
1	139	93
2	385	93
3	1357	93
4	5229	93

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(*.f64 1/720 (pow.f64 x 6))
(+.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 1/720 (pow.f64 x 6)))

Outputs

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-1/24 (pow.f64 x 4)))) 1) (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))) (*.f64 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))) (*.f64 (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) (*.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (/.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))))))

simplify302.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1578×	`rational.json-simplify-49`
1144×	`rational.json-simplify-2`
1108×	`rational.json-simplify-54`
974×	`rational.json-simplify-50`
810×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	2834
1	370	2834
2	1035	2698
3	3842	2698

Stop Event

1×	node limit

Counts

76 → 75

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 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 1/720 (pow.f64 x 6))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (*.f64 1/720 (pow.f64 x 6)) 0)
(+.f64 0 (*.f64 1/720 (pow.f64 x 6)))
(-.f64 (*.f64 1/720 (pow.f64 x 6)) 0)
(-.f64 0 (neg.f64 (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/720 (pow.f64 x 6)))) 1)
(/.f64 (*.f64 1/720 (pow.f64 x 6)) 1)
(/.f64 (.f64 1/720 (pow.f64 x 6)) (/.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 6))))
(pow.f64 (*.f64 1/720 (pow.f64 x 6)) 1)
(neg.f64 (neg.f64 (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/720 (pow.f64 x 6)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 -1/24 (pow.f64 x 4)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (neg.f64 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) 0)
(-.f64 0 (-.f64 (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (pow.f64 x 2))) (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2))) (neg.f64 (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (neg.f64 (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 -1/24 (pow.f64 x 4)))) (-.f64 (-.f64 1 (.f64 1/720 (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/720 (pow.f64 x 6)))) (-.f64 (-.f64 1 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/2 (pow.f64 x 2)))) (-.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))))
(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 -1 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2)))) 1)
(-.f64 (-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 -1 (.f64 -1/24 (pow.f64 x 4)))) (-.f64 1 (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 -1 (.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (-.f64 -1 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6)))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (-.f64 -1 (*.f64 1/720 (pow.f64 x 6)))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (-.f64 -1 (*.f64 1/2 (pow.f64 x 2)))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2))) (-.f64 -1 (*.f64 -1/24 (pow.f64 x 4)))) 1)
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) 1)
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))))
(.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))
(.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))
(.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))))
(.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) 1))
(.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (/.f64 (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) 1) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))) (.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))) (.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))))))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))))
(pow.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(neg.f64 (-.f64 (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (pow.f64 x 2))) (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (.f64 1/720 (pow.f64 x 6)) (neg.f64 (.f64 -1/24 (pow.f64 x 4))))
(-.f64 (.f64 -1/24 (pow.f64 x 4)) (neg.f64 (.f64 1/720 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) 0)
(-.f64 0 (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 -1/24 (pow.f64 x 4)))) (-.f64 1 (.f64 1/720 (pow.f64 x 6))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (.f64 -1/24 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6)))) 1)
(-.f64 (-.f64 (.f64 -1/24 (pow.f64 x 4)) (-.f64 -1 (.f64 1/720 (pow.f64 x 6)))) 1)
(-.f64 (-.f64 (.f64 1/720 (pow.f64 x 6)) (-.f64 -1 (.f64 -1/24 (pow.f64 x 4)))) 1)
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))) 1)
(.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))))
(.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (/.f64 (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))
(.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) 1) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) 1)
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))
(pow.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 1/720 (pow.f64 x 6))
(*.f64 1/720 (pow.f64 x 6))
(+.f64 (*.f64 1/720 (pow.f64 x 6)) 0)
(*.f64 1/720 (pow.f64 x 6))
(+.f64 0 (*.f64 1/720 (pow.f64 x 6)))
(*.f64 1/720 (pow.f64 x 6))
(-.f64 (*.f64 1/720 (pow.f64 x 6)) 0)
(*.f64 1/720 (pow.f64 x 6))
(-.f64 0 (neg.f64 (*.f64 1/720 (pow.f64 x 6))))
(*.f64 1/720 (pow.f64 x 6))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/720 (pow.f64 x 6)))) 1)
(*.f64 1/720 (pow.f64 x 6))
(/.f64 (*.f64 1/720 (pow.f64 x 6)) 1)
(*.f64 1/720 (pow.f64 x 6))
(/.f64 (.f64 1/720 (pow.f64 x 6)) (/.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 6))))
(*.f64 1/720 (pow.f64 x 6))
(pow.f64 (*.f64 1/720 (pow.f64 x 6)) 1)
(*.f64 1/720 (pow.f64 x 6))
(neg.f64 (neg.f64 (*.f64 1/720 (pow.f64 x 6))))
(*.f64 1/720 (pow.f64 x 6))
(-.f64 (.f64 1/720 (pow.f64 x 6)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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 -1/24 (pow.f64 x 4)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (neg.f64 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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))))
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(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))) 0)
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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 0 (-.f64 (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (.f64 1/2 (pow.f64 x 2))) (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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 (.f64 1/720 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 2))) (neg.f64 (*.f64 -1/24 (pow.f64 x 4))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (neg.f64 (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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 0 (-.f64 -1 (.f64 -1/24 (pow.f64 x 4)))) (-.f64 (-.f64 1 (.f64 1/720 (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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 0 (-.f64 -1 (.f64 1/720 (pow.f64 x 6)))) (-.f64 (-.f64 1 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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))))
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(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6)))) (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.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 0 (-.f64 -1 (.f64 1/2 (pow.f64 x 2)))) (-.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4)))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.f64 -1/24 (pow.f64 x 4))))
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(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 -1 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6))) (*.f64 1/2 (pow.f64 x 2)))) 1)
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.f64 -1/24 (pow.f64 x 4))))
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(-.f64 (-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 -1 (.f64 -1/24 (pow.f64 x 4)))) (-.f64 1 (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/720 (pow.f64 x 6))) (*.f64 -1/24 (pow.f64 x 4))))
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(-.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4))) (-.f64 -1 (*.f64 1/720 (pow.f64 x 6)))) 1)
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (*.f64 1/720 (pow.f64 x 6))))
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(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) 1)
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(.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (*.f64 -1/24 (pow.f64 x 4))))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(.f64 (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) 1) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))) (.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) 1)
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(/.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (/.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(pow.f64 (+.f64 (.f64 1/720 (pow.f64 x 6)) (.f64 -1/24 (pow.f64 x 4))) 1)
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))
(neg.f64 (-.f64 (neg.f64 (.f64 -1/24 (pow.f64 x 4))) (.f64 1/720 (pow.f64 x 6))))
(+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6)))

eval537.0ms (5.6%)

Compiler: Compiled 3244 to 2722 computations (16.1% saved)

prune29.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	101	4	105

Error

0.0b

Counts

105 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.6b	(-.f64 1 (cos.f64 x))
✓	0.0b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
✓	0.1b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))
✓	0.9b	(*.f64 1/2 (pow.f64 x 2))

Compiler

Compiled 41 to 34 computations (17.1% saved)

regimes17.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.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))))

Outputs
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))

Calls

3 calls:

8.0ms	x
3.0ms	(cos.f64 x)
3.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(-.f64 1 (cos.f64 x))`
0.0b	1	`(cos.f64 x)`

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes17.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.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)))

Outputs
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/24 (pow.f64 x 4)))

Calls

3 calls:

6.0ms	x
3.0ms	(cos.f64 x)
3.0ms	(-.f64 1 (cos.f64 x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 1 (cos.f64 x))`
0.1b	1	`(cos.f64 x)`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes13.0ms (0.1%)

Accuracy

Total -28.9b remaining (-3266.2%)

Threshold costs -28.9b (-3266.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 (pow.f64 x 2))

Calls

3 calls:

5.0ms	x
3.0ms	(-.f64 1 (cos.f64 x))
3.0ms	(cos.f64 x)

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`(-.f64 1 (cos.f64 x))`
0.9b	1	`(cos.f64 x)`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	104

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.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 -1/24 (pow.f64 x 4)))
(*.f64 1/2 (pow.f64 x 2))
(-.f64 1 (cos.f64 x))

Outputs
(+.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 -1/24 (pow.f64 x 4)))
(*.f64 1/2 (pow.f64 x 2))
(-.f64 1 (cos.f64 x))

Compiler

Compiled 41 to 34 computations (17.1% saved)

soundness0.0ms (0%)

end175.0ms (1.8%)

Compiler: Compiled 38 to 31 computations (18.4% saved)

Details

analyze1.0ms (0%)

sample7.3s (76%)

preprocess85.0ms (0.9%)

simplify94.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0%)

series1.0ms (0%)

rewrite98.0ms (1%)

simplify237.0ms (2.5%)

eval8.0ms (0.1%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite112.0ms (1.2%)

simplify226.0ms (2.3%)

localize24.0ms (0.3%)

series2.0ms (0%)

rewrite288.0ms (3%)

simplify302.0ms (3.1%)

eval537.0ms (5.6%)

prune29.0ms (0.3%)

regimes17.0ms (0.2%)

regimes17.0ms (0.2%)

regimes13.0ms (0.1%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end175.0ms (1.8%)

Profiling