Details

analyze244.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	8
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.7s (23.4%)

Results

2.1s	6186×	body	256	valid
1.2s	1378×	body	1024	valid
373.0ms	690×	body	512	valid
2.0ms	2×	body	2048	valid

Bogosity

preprocess113.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1806×	`rational.json-simplify-35`
1342×	`rational.json-simplify-48`
1096×	`rational.json-simplify-26`
1022×	`rational.json-simplify-41`
920×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	54	108
2	89	108
3	129	108
4	207	108
5	353	108
6	836	108
7	2239	108
8	5314	108
9	6425	108
10	7633	108
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(+.f64 (cos.f64 x) (-.f64 y (*.f64 z (sin.f64 x))))
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x))))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(+.f64 z (-.f64 (cos.f64 y) (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(+.f64 (cos.f64 z) (-.f64 x (*.f64 y (sin.f64 z))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify179.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2198×	`rational.json-simplify-35`
1816×	`rational.json-simplify-1`
1284×	`rational.json-simplify-26`
916×	`rational.json-simplify-2`
656×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	21	27
2	33	27
3	48	27
4	79	27
5	135	27
6	297	27
7	740	27
8	2052	27
9	3325	27
10	4083	27
11	4569	27
12	5323	27
13	5743	27
14	6355	27
15	6934	27

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))

eval1.0ms (0%)

Compiler: Compiled 30 to 12 computations (60% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.1b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	0.0b	(sin.f64 y)
✓	0.0b	(+.f64 x (cos.f64 y))
✓	0.2b	(*.f64 z (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0%)

Counts

4 → 68

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 z (sin.f64 y))
0.0ms	y	@	0	(*.f64 z (sin.f64 y))
0.0ms	y	@	-inf	(sin.f64 y)
0.0ms	x	@	0	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.0ms	y	@	-inf	(*.f64 z (sin.f64 y))

rewrite270.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`bool.json-1`
1332×	`bool.json-2`
1298×	`rational.json-1`
1298×	`rational.json-2`
1298×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	114	54
2	335	54
3	761	54
4	1734	54
5	4197	54

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(+.f64 x (cos.f64 y))
(sin.f64 y)
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 (sin.f64 y) 1/2)) (.f64 z (.f64 (sin.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) (.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 x (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 x (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (cos.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (cos.f64 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 x (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x (cos.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (cos.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (cos.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x (cos.f64 y)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (cos.f64 y)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (cos.f64 y)) 4))) (.f64 2 (.f64 2 (*.f64 (+.f64 x (cos.f64 y)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) 1/2) (.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sin.f64 y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 y) (sin.f64 y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (neg.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (+.f64 1 (-.f64 x (.f64 z (sin.f64 y)))) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1/2) (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))))))

simplify348.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1758×	`rational.json-simplify-35`
1710×	`rational.json-simplify-1`
1540×	`rational.json-simplify-52`
1018×	`rational.json-simplify-51`
800×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	2951
1	478	2945
2	1192	2927
3	2409	2901
4	4120	2901
5	5731	2901
6	6576	2901
7	7636	2901
8	7761	2901
9	7979	2901

Stop Event

1×	node limit

Counts

163 → 161

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (.f64 (sin.f64 y) 1/2)) (.f64 z (.f64 (sin.f64 y) 1/2)))
(-.f64 (*.f64 z (sin.f64 y)) 0)
(/.f64 (*.f64 z (sin.f64 y)) 1)
(/.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2)
(/.f64 (.f64 (sin.f64 y) (.f64 z 4)) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 y) (*.f64 z 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4))))) 32)
(-.f64 (+.f64 x (cos.f64 y)) 0)
(*.f64 (+.f64 x (cos.f64 y)) 1)
(*.f64 1 (+.f64 x (cos.f64 y)))
(.f64 2 (.f64 (+.f64 x (cos.f64 y)) 1/2))
(.f64 (.f64 (+.f64 x (cos.f64 y)) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 x (cos.f64 y)) 4))
(.f64 (.f64 (+.f64 x (cos.f64 y)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 x (cos.f64 y)) 2))
(.f64 (.f64 (+.f64 x (cos.f64 y)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 x (cos.f64 y)) 4))
(*.f64 (/.f64 (+.f64 x (cos.f64 y)) 4) 4)
(/.f64 (+.f64 x (cos.f64 y)) 1)
(/.f64 (*.f64 (+.f64 x (cos.f64 y)) 2) 2)
(/.f64 (*.f64 (+.f64 x (cos.f64 y)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 x (cos.f64 y)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 x (cos.f64 y)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (cos.f64 y)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 x (cos.f64 y)) 4)))) 32)
(+.f64 (sin.f64 y) 0)
(+.f64 0 (sin.f64 y))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 y))))
(+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))
(+.f64 (.f64 (sin.f64 y) 1/2) (.f64 (sin.f64 y) 1/2))
(-.f64 (sin.f64 y) 0)
(-.f64 0 (neg.f64 (sin.f64 y)))
(-.f64 0 (sin.f64 (neg.f64 y)))
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 -1 (neg.f64 (sin.f64 y)))
(.f64 2 (.f64 (sin.f64 y) 1/2))
(.f64 (.f64 (sin.f64 y) 2) 1/2)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(.f64 (.f64 (sin.f64 y) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) 1/2) 2)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(.f64 1/4 (.f64 (sin.f64 y) 4))
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(*.f64 (sin.f64 (neg.f64 y)) -1)
(/.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) 8)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 y) 4))) 16)
(/.f64 (sin.f64 (neg.f64 y)) -1)
(/.f64 (+.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4)))) 32)
(neg.f64 (neg.f64 (sin.f64 y)))
(neg.f64 (sin.f64 (neg.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 0)
(+.f64 0 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 -1 (+.f64 1 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 -1 (+.f64 (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (cos.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 1 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) -1)
(+.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1/2) (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1/2))
(.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1)
(.f64 1 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))))
(.f64 -1 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 1/2))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 2) 1/2)
(.f64 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) -1)
(.f64 4 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 2))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 4))
(.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4) 4)
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 1)
(/.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 2) 2)
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) -1)
(/.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))) 16)
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) 4)
(neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))

Outputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(+.f64 (.f64 y z) (.f64 z (*.f64 -1/6 (pow.f64 y 3))))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 z (pow.f64 y 3))) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(+.f64 (.f64 z (.f64 -1/6 (pow.f64 y 3))) (+.f64 (.f64 y z) (.f64 z (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 z -1/6)) (.f64 z (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 y z) (+.f64 (+.f64 (.f64 1/120 (.f64 z (pow.f64 y 5))) (.f64 -1/5040 (.f64 z (pow.f64 y 7)))) (.f64 -1/6 (*.f64 z (pow.f64 y 3)))))
(+.f64 (.f64 y z) (+.f64 (.f64 z (.f64 -1/6 (pow.f64 y 3))) (+.f64 (.f64 z (.f64 1/120 (pow.f64 y 5))) (.f64 z (*.f64 -1/5040 (pow.f64 y 7))))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 z -1/6)) (+.f64 (.f64 z (+.f64 y (.f64 1/120 (pow.f64 y 5)))) (.f64 z (.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (.f64 z (+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))))) (.f64 z (*.f64 -1/5040 (pow.f64 y 7))))
(+.f64 (.f64 -1/6 (.f64 z (pow.f64 y 3))) (.f64 z (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 x (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 y 2)) 1))
(+.f64 (+.f64 x 1) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 1/24 (pow.f64 y 4)))))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (+.f64 x 1) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 1/24 (pow.f64 y 4)))) (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 1 (+.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4)))) (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 x (+.f64 1 (*.f64 1/24 (pow.f64 y 4))))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 x (.f64 y (.f64 z -1))))
(+.f64 x (+.f64 (*.f64 y (neg.f64 z)) 1))
(+.f64 (+.f64 x 1) (*.f64 z (neg.f64 y)))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 (.f64 y (.f64 z -1)) (+.f64 1 (+.f64 x (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) 1)) (.f64 y (neg.f64 z)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (+.f64 x 1) (.f64 z (neg.f64 y))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 1 (.f64 y z))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (+.f64 (.f64 y (.f64 z -1)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 (*.f64 z (pow.f64 y 3)) 1/6)))))
(+.f64 1 (+.f64 (.f64 y (neg.f64 z)) (+.f64 x (+.f64 (.f64 z (.f64 (pow.f64 y 3) 1/6)) (.f64 -1/2 (pow.f64 y 2))))))
(+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 z (.f64 (pow.f64 y 3) 1/6)) (+.f64 (+.f64 x 1) (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 x (.f64 z (+.f64 (.f64 (pow.f64 y 3) 1/6) (neg.f64 y)))) (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (+.f64 x (.f64 -1/2 (pow.f64 y 2))) (.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 3) 1/6)))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(+.f64 0 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 z (.f64 (sin.f64 y) 1/2)) (.f64 z (.f64 (sin.f64 y) 1/2)))
(*.f64 z (sin.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (+.f64 z z)) 2)
(*.f64 z (sin.f64 y))
(/.f64 (.f64 (sin.f64 y) (.f64 z 4)) 4)
(*.f64 z (sin.f64 y))
(/.f64 (.f64 2 (.f64 (sin.f64 y) (*.f64 z 4))) 8)
(*.f64 z (sin.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4)))) 16)
(*.f64 z (sin.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4)))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 z 4))))) 32)
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) 0)
(+.f64 (cos.f64 y) x)
(*.f64 (+.f64 x (cos.f64 y)) 1)
(+.f64 (cos.f64 y) x)
(*.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(.f64 2 (.f64 (+.f64 x (cos.f64 y)) 1/2))
(+.f64 (cos.f64 y) x)
(.f64 (.f64 (+.f64 x (cos.f64 y)) 2) 1/2)
(+.f64 (cos.f64 y) x)
(*.f64 4 (/.f64 (+.f64 x (cos.f64 y)) 4))
(+.f64 (cos.f64 y) x)
(.f64 (.f64 (+.f64 x (cos.f64 y)) 4) 1/4)
(+.f64 (cos.f64 y) x)
(.f64 1/2 (.f64 (+.f64 x (cos.f64 y)) 2))
(+.f64 (cos.f64 y) x)
(.f64 (.f64 (+.f64 x (cos.f64 y)) 1/2) 2)
(+.f64 (cos.f64 y) x)
(.f64 1/4 (.f64 (+.f64 x (cos.f64 y)) 4))
(+.f64 (cos.f64 y) x)
(*.f64 (/.f64 (+.f64 x (cos.f64 y)) 4) 4)
(+.f64 (cos.f64 y) x)
(/.f64 (+.f64 x (cos.f64 y)) 1)
(+.f64 (cos.f64 y) x)
(/.f64 (*.f64 (+.f64 x (cos.f64 y)) 2) 2)
(+.f64 (cos.f64 y) x)
(/.f64 (*.f64 (+.f64 x (cos.f64 y)) 4) 4)
(+.f64 (cos.f64 y) x)
(/.f64 (.f64 2 (.f64 (+.f64 x (cos.f64 y)) 4)) 8)
(+.f64 (cos.f64 y) x)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 x (cos.f64 y)) 4))) 16)
(+.f64 (cos.f64 y) x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (cos.f64 y)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 x (cos.f64 y)) 4)))) 32)
(+.f64 (cos.f64 y) x)
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 y))))
(sin.f64 y)
(+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))
(sin.f64 y)
(+.f64 (.f64 (sin.f64 y) 1/2) (.f64 (sin.f64 y) 1/2))
(sin.f64 y)
(-.f64 (sin.f64 y) 0)
(sin.f64 y)
(-.f64 0 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 0 (sin.f64 (neg.f64 y)))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 2 (.f64 (sin.f64 y) 1/2))
(sin.f64 y)
(.f64 (.f64 (sin.f64 y) 2) 1/2)
(sin.f64 y)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(sin.f64 y)
(.f64 (.f64 (sin.f64 y) 4) 1/4)
(sin.f64 y)
(.f64 1/2 (.f64 (sin.f64 y) 2))
(sin.f64 y)
(.f64 (.f64 (sin.f64 y) 1/2) 2)
(sin.f64 y)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(.f64 1/4 (.f64 (sin.f64 y) 4))
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(sin.f64 y)
(*.f64 (sin.f64 (neg.f64 y)) -1)
(sin.f64 y)
(/.f64 (sin.f64 y) 1)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(sin.f64 y)
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) 8)
(sin.f64 y)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 y) 4))) 16)
(sin.f64 y)
(/.f64 (sin.f64 (neg.f64 y)) -1)
(sin.f64 y)
(/.f64 (+.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) -2)
(sin.f64 y)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4)))) 32)
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(neg.f64 (sin.f64 (neg.f64 y)))
(sin.f64 y)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 0)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 0 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 -1 (+.f64 1 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 -1 (+.f64 (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (cos.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 1 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) -1)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1/2) (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1/2))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 1)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 1 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 -1 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 1/2))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 2) 1/2)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) -1)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 4 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 4) 1/4)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 1/2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 2))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 1/2) 2)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 4))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4) 4)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 1)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 2) 2)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) -1)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4) 4)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) -2)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) 4)) 8)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 2 (.f64 2 (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) -4)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))) 16)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) 2)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 z (sin.f64 y)))) 4)))) 32)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) 4)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))

eval34.0ms (0.2%)

Compiler: Compiled 2400 to 1119 computations (53.4% saved)

prune80.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	153	8	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	153	9	162

Error

0.1b

Counts

162 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.2b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))
✓	0.1b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶	21.3b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))
	8.0b	(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
	26.8b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	19.0b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	25.2b	(+.f64 x (-.f64 1 (*.f64 y z)))
▶	0.2b	(+.f64 -1 (+.f64 (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (cos.f64 y)))
	45.3b	(*.f64 (sin.f64 y) (neg.f64 z))

Compiler

Compiled 196 to 140 computations (28.6% saved)

localize134.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 y)
✓	0.1b	(+.f64 (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (cos.f64 y))
✓	0.1b	(+.f64 -1 (+.f64 (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (cos.f64 y)))
	0.2b	(*.f64 z (sin.f64 y))

Compiler

Compiled 54 to 19 computations (64.8% saved)

series2.0ms (0%)

Counts

3 → 76

Calls

21 calls:

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

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`bool.json-1`
1376×	`bool.json-2`
1338×	`rational.json-1`
1338×	`rational.json-2`
1338×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	159	77
2	436	65
3	971	65
4	2315	65
5	5155	65

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(+.f64 -1 (+.f64 (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (cos.f64 y)))
(+.f64 (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (cos.f64 y))
(cos.f64 y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (cos.f64 (-.f64 (PI.f64) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 y) 1/2) (.f64 (cos.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cos.f64 (-.f64 (PI.f64) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 (PI.f64) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (PI.f64) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 y) 4))) (.f64 2 (.f64 2 (*.f64 (cos.f64 y) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 (-.f64 (PI.f64) y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 y) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 y) (cos.f64 y))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (cos.f64 (-.f64 (PI.f64) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) 1/2) (*.f64 (cos.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cos.f64 (-.f64 (PI.f64) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (cos.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 (PI.f64) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (PI.f64) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) 4))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 (-.f64 (PI.f64) y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 y) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 y) (cos.f64 y))))))

simplify769.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

2168×	`rational.json-simplify-1`
1702×	`rational.json-simplify-35`
1170×	`rational.json-simplify-52`
1000×	`rational.json-simplify-2`
828×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	3269
1	348	3249
2	832	3249
3	2311	3229
4	3833	3229
5	4708	3229
6	5491	3229
7	6231	3229
8	7013	3229
9	7495	3229

Stop Event

1×	node limit

Counts

139 → 126

Calls

Call 1

Inputs
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 1 (+.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 1 (+.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 1 (+.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(+.f64 2 x)
(+.f64 2 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 2 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 2 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(-.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1)
(-.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 0)
(-.f64 (+.f64 -1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) -1)
(.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)))
(.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 1)
(.f64 2 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/2))
(.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4))
(.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))
(.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/2) 2)
(/.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1)
(/.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2)
(/.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4)))) 32)
(-.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 0)
(-.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) -1)
(-.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) 2)) 1)
(.f64 1 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))))
(.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 1)
(.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1/2))
(.f64 (+.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2) 1/2)
(.f64 4 (/.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4))
(.f64 (.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2))
(.f64 (.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1/2) 2)
(/.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1)
(/.f64 (+.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2) 2)
(/.f64 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4)))) 32)
(+.f64 -1 (+.f64 1 (cos.f64 y)))
(+.f64 -1 (-.f64 1 (cos.f64 (-.f64 (PI.f64) y))))
(+.f64 1 (+.f64 -1 (cos.f64 y)))
(+.f64 (cos.f64 y) 0)
(+.f64 0 (cos.f64 y))
(+.f64 (+.f64 -1 (cos.f64 y)) 1)
(+.f64 (+.f64 1 (cos.f64 y)) -1)
(+.f64 (.f64 (cos.f64 y) 1/2) (.f64 (cos.f64 y) 1/2))
(-.f64 (cos.f64 y) 0)
(-.f64 0 (cos.f64 (-.f64 (PI.f64) y)))
(-.f64 (+.f64 -1 (cos.f64 y)) -1)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (cos.f64 y) 1)
(.f64 2 (.f64 (cos.f64 y) 1/2))
(*.f64 4 (/.f64 (cos.f64 y) 4))
(.f64 (.f64 (cos.f64 y) 2) 1/2)
(.f64 (.f64 (cos.f64 y) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 y) 2))
(.f64 (.f64 (cos.f64 y) 1/2) 2)
(*.f64 (cos.f64 (-.f64 (PI.f64) y)) -1)
(/.f64 (cos.f64 y) 1)
(/.f64 (*.f64 (cos.f64 y) 2) 2)
(/.f64 (*.f64 (cos.f64 y) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 y) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 y) 4))) 16)
(/.f64 (cos.f64 (-.f64 (PI.f64) y)) -1)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 y) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 y) 4)))) 32)
(neg.f64 (cos.f64 (-.f64 (PI.f64) y)))

Outputs
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) -1))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) -1))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (.f64 y (.f64 z -1)) (+.f64 x 1))
(+.f64 x (+.f64 1 (*.f64 z (neg.f64 y))))
(+.f64 (+.f64 x 1) (*.f64 y (neg.f64 z)))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (.f64 y (.f64 z -1)) (+.f64 x (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 1 (+.f64 x (+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 x (+.f64 (+.f64 1 (.f64 y (neg.f64 z))) (.f64 -1/2 (pow.f64 y 2))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 1 (.f64 y z))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (+.f64 (.f64 y (.f64 z -1)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 (pow.f64 y 3) (*.f64 z 1/6))))))
(+.f64 1 (+.f64 (.f64 z (neg.f64 y)) (+.f64 x (+.f64 (.f64 z (.f64 (pow.f64 y 3) 1/6)) (.f64 -1/2 (pow.f64 y 2))))))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 (pow.f64 y 3) (.f64 z 1/6))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (neg.f64 y))))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) 1) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
x
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 1 (+.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 1 (+.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 1 (+.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) -1))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) -1))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (.f64 y (.f64 z -1)) (+.f64 x 2))
(+.f64 (*.f64 z (neg.f64 y)) (+.f64 x 2))
(+.f64 (*.f64 y (neg.f64 z)) (+.f64 x 2))
(+.f64 2 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 2 (+.f64 (.f64 y (.f64 z -1)) (+.f64 x (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 z (neg.f64 y)) (+.f64 x 2)))
(+.f64 x (+.f64 (+.f64 (.f64 y (neg.f64 z)) 2) (.f64 -1/2 (pow.f64 y 2))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 y (neg.f64 z)) 2)))
(+.f64 (+.f64 x (.f64 y (neg.f64 z))) (+.f64 2 (.f64 -1/2 (pow.f64 y 2))))
(+.f64 2 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 (.f64 y (.f64 z -1)) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 (pow.f64 y 3) (*.f64 z 1/6)))) 2))
(+.f64 (.f64 z (neg.f64 y)) (+.f64 2 (+.f64 x (+.f64 (.f64 z (.f64 (pow.f64 y 3) 1/6)) (.f64 -1/2 (pow.f64 y 2))))))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x 2))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (neg.f64 y))))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))) (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/720 (pow.f64 y 6)))))
(-.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 0)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 -1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) -1)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 1)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 2 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/2))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 1/2)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 4 (/.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4) 1/4)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 1/2 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/2) 2)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 1)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4) 4)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 4)) 8)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4))) 16)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 4)))) 32)
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 0)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) -1)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) 2)) 1)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 1 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 1)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1/2))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 (+.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2) 1/2)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 4 (/.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 (.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4) 1/4)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 1/2 (+.f64 (.f64 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(.f64 (.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1/2) 2)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 1)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (.f64 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y)) 2) 2) 2)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(/.f64 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4) 4)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (cos.f64 y))) 4)) 8)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4))) 16)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (+.f64 (-.f64 x (.f64 z (sin.f64 y))) (cos.f64 y))) 4)))) 32)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))))
(+.f64 -1 (+.f64 1 (cos.f64 y)))
(cos.f64 y)
(+.f64 -1 (-.f64 1 (cos.f64 (-.f64 (PI.f64) y))))
(cos.f64 y)
(+.f64 1 (+.f64 -1 (cos.f64 y)))
(cos.f64 y)
(+.f64 (cos.f64 y) 0)
(cos.f64 y)
(+.f64 0 (cos.f64 y))
(cos.f64 y)
(+.f64 (+.f64 -1 (cos.f64 y)) 1)
(cos.f64 y)
(+.f64 (+.f64 1 (cos.f64 y)) -1)
(cos.f64 y)
(+.f64 (.f64 (cos.f64 y) 1/2) (.f64 (cos.f64 y) 1/2))
(cos.f64 y)
(-.f64 (cos.f64 y) 0)
(cos.f64 y)
(-.f64 0 (cos.f64 (-.f64 (PI.f64) y)))
(cos.f64 y)
(-.f64 (+.f64 -1 (cos.f64 y)) -1)
(cos.f64 y)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(.f64 2 (.f64 (cos.f64 y) 1/2))
(cos.f64 y)
(*.f64 4 (/.f64 (cos.f64 y) 4))
(cos.f64 y)
(.f64 (.f64 (cos.f64 y) 2) 1/2)
(cos.f64 y)
(.f64 (.f64 (cos.f64 y) 4) 1/4)
(cos.f64 y)
(.f64 1/2 (.f64 (cos.f64 y) 2))
(cos.f64 y)
(.f64 (.f64 (cos.f64 y) 1/2) 2)
(cos.f64 y)
(*.f64 (cos.f64 (-.f64 (PI.f64) y)) -1)
(cos.f64 y)
(/.f64 (cos.f64 y) 1)
(cos.f64 y)
(/.f64 (*.f64 (cos.f64 y) 2) 2)
(cos.f64 y)
(/.f64 (*.f64 (cos.f64 y) 4) 4)
(cos.f64 y)
(/.f64 (.f64 2 (.f64 (cos.f64 y) 4)) 8)
(cos.f64 y)
(/.f64 (.f64 2 (.f64 2 (*.f64 (cos.f64 y) 4))) 16)
(cos.f64 y)
(/.f64 (cos.f64 (-.f64 (PI.f64) y)) -1)
(cos.f64 y)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 y) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 y) 4)))) 32)
(cos.f64 y)
(neg.f64 (cos.f64 (-.f64 (PI.f64) y)))
(cos.f64 y)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (-.f64 1 (*.f64 y z)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(+.f64 x (-.f64 1 (*.f64 y z)))
0.0ms	y	@	inf	(+.f64 x (-.f64 1 (*.f64 y z)))
0.0ms	x	@	0	(+.f64 x (-.f64 1 (*.f64 y z)))
0.0ms	z	@	inf	(+.f64 x (-.f64 1 (*.f64 y z)))
0.0ms	y	@	-inf	(+.f64 x (-.f64 1 (*.f64 y z)))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`rational.json-simplify-35`
1332×	`bool.json-1`
1332×	`bool.json-2`
1286×	`rational.json-1`
1286×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	96	19
2	276	19
3	551	19
4	1104	19
5	2429	19
6	5075	19

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(+.f64 x (-.f64 1 (*.f64 y z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (neg.f64 (+.f64 (*.f64 y z) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 y z) -1) -2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/2) (/.f64 (+.f64 (*.f64 y z) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (*.f64 y z) -1) -2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 (+.f64 (*.f64 y z) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 x (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 x (-.f64 1 (*.f64 y z))))))))

simplify912.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

2714×	`rational.json-simplify-42`
2146×	`rational.json-simplify-2`
1848×	`rational.json-simplify-35`
1226×	`rational.json-simplify-1`
1188×	`rational.json-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	1103
1	144	1095
2	346	1095
3	810	1095
4	1345	1095
5	2211	1095
6	2660	1095
7	2807	1095
8	3054	1095
9	3476	1095
10	3940	1095
11	4418	1095
12	4607	1095
13	4750	1095
14	4933	1095
15	5422	1095
16	6389	1095
17	6802	1095
18	6945	1095
19	7073	1095
20	7196	1095
21	7318	1095
22	7318	1095

Stop Event

1×	node limit

Counts

59 → 37

Calls

Call 1

Inputs
(-.f64 1 (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(.f64 -1 (.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(.f64 -1 (.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(.f64 -1 (.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(.f64 -1 (.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(-.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 0)
(-.f64 (+.f64 x (neg.f64 (+.f64 (*.f64 y z) -2))) 1)
(.f64 1 (+.f64 x (-.f64 1 (.f64 y z))))
(.f64 (+.f64 x (-.f64 1 (.f64 y z))) 1)
(.f64 2 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1/2))
(.f64 2 (+.f64 (/.f64 (+.f64 (.f64 y z) -1) -2) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (/.f64 (+.f64 (*.f64 y z) -1) -2)))
(.f64 4 (/.f64 (+.f64 x (-.f64 1 (.f64 y z))) 4))
(.f64 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 2) 1/2)
(.f64 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 2))
(.f64 1/2 (+.f64 (.f64 (+.f64 (*.f64 y z) -1) -2) (+.f64 x x)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (+.f64 (*.f64 y z) -1) -2)))
(.f64 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 4))
(.f64 (/.f64 (+.f64 x (-.f64 1 (.f64 y z))) 4) 4)
(/.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1)
(/.f64 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 2) 2)
(/.f64 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 4) 4)
(/.f64 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 8)))) 64)

Outputs
(-.f64 1 (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 x)
(-.f64 x -1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 -1 (.f64 y z))
(.f64 y (.f64 z -1))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 -1 (.f64 y z))
(.f64 y (.f64 z -1))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 x)
(-.f64 x -1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 -1 (.f64 y z))
(.f64 y (.f64 z -1))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 -1 (.f64 y z))
(.f64 y (.f64 z -1))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 0)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 x (neg.f64 (+.f64 (*.f64 y z) -2))) 1)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 1 (+.f64 x (-.f64 1 (.f64 y z))))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 (+.f64 x (-.f64 1 (.f64 y z))) 1)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 2 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1/2))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 2 (+.f64 (/.f64 (+.f64 (.f64 y z) -1) -2) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (/.f64 (+.f64 (*.f64 y z) -1) -2)))
(.f64 2 (+.f64 (/.f64 (+.f64 (.f64 y z) -1) -2) (*.f64 x 1/2)))
(.f64 4 (/.f64 (+.f64 x (-.f64 1 (.f64 y z))) 4))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 2) 1/2)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 4) 1/4)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 1/2 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 2))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 1/2 (+.f64 (.f64 (+.f64 (*.f64 y z) -1) -2) (+.f64 x x)))
(.f64 1/2 (+.f64 x (+.f64 x (.f64 -2 (+.f64 (*.f64 y z) -1)))))
(.f64 1/2 (+.f64 (.f64 -2 (+.f64 (*.f64 y z) -1)) (+.f64 x x)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (+.f64 (*.f64 y z) -1) -2)))
(.f64 1/2 (+.f64 x (+.f64 x (.f64 -2 (+.f64 (*.f64 y z) -1)))))
(.f64 1/2 (+.f64 (.f64 -2 (+.f64 (*.f64 y z) -1)) (+.f64 x x)))
(.f64 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1/2) 2)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 1/4 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 4))
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(.f64 (/.f64 (+.f64 x (-.f64 1 (.f64 y z))) 4) 4)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(/.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(/.f64 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 2) 2)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(/.f64 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 4) 4)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(/.f64 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 8) 8)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(/.f64 (.f64 2 (.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 8)) 16)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 8))) 32)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 x (-.f64 1 (.f64 y z))) 8)))) 64)
(+.f64 (-.f64 1 (*.f64 y z)) x)
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 1 x) (*.f64 y z))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.2b	(*.f64 z (sin.f64 y))

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))
	0.0b	(+.f64 x (cos.f64 y))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))
0.0ms	x	@	0	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))
0.0ms	y	@	inf	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))
0.0ms	x	@	inf	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))
0.0ms	y	@	-inf	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`bool.json-1`
1928×	`bool.json-2`
1086×	`rational.json-1`
1086×	`rational.json-2`
1086×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	101	23
2	286	23
3	650	23
4	1474	23
5	3547	23
6	7221	23

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (cos.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 y) (+.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 y z)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) (+.f64 x (-.f64 1 (*.f64 y z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1/2) (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) 1/2) (*.f64 z (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 y (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))))) (neg.f64 (*.f64 2 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))))))))

simplify392.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2112×	`rational.json-simplify-1`
1926×	`rational.json-simplify-35`
1754×	`rational.json-simplify-2`
952×	`rational.json-simplify-52`
838×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1607
1	217	1607
2	475	1595
3	964	1595
4	2346	1595
5	3215	1595
6	3591	1595
7	4235	1595
8	5150	1595
9	5737	1595
10	6353	1595
11	7026	1595
12	7280	1595
13	7811	1595
14	7883	1595
15	7890	1595

Stop Event

1×	node limit

Counts

73 → 64

Calls

Call 1

Inputs
(-.f64 (cos.f64 y) (*.f64 y z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x))))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 y z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 0)
(+.f64 0 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))))
(+.f64 (-.f64 x (*.f64 y z)) (cos.f64 y))
(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x (-.f64 1 (*.f64 y z)))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (neg.f64 (*.f64 y z)) (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 y) (+.f64 x (-.f64 1 (*.f64 y z)))) -1)
(+.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 1/2) (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 1/2))
(.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 1)
(.f64 1 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))))
(.f64 -1 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y))))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1/2))
(.f64 2 (-.f64 (.f64 (+.f64 x (cos.f64 y)) 1/2) (.f64 z (.f64 y 1/2))))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 2) 1/2)
(.f64 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y))) -1)
(.f64 4 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 2))
(.f64 1/2 (-.f64 (.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 y (+.f64 z z))))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4))
(.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4) 4)
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1)
(/.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 2) 2)
(/.f64 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))) -1)
(/.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y)))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4))) 16)
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y))))) (neg.f64 (.f64 2 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y)))))) 4)
(neg.f64 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))))

Outputs
(-.f64 (cos.f64 y) (*.f64 y z))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 y z))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) x))
(+.f64 (neg.f64 (*.f64 y z)) (+.f64 x 1))
(+.f64 (+.f64 x 1) (*.f64 y (neg.f64 z)))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (neg.f64 (.f64 y z)) (+.f64 x (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (+.f64 x 1) (.f64 y (neg.f64 z))))
(+.f64 (+.f64 x (.f64 -1/2 (pow.f64 y 2))) (-.f64 1 (.f64 y z)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 x (.f64 y z))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 1 (+.f64 (neg.f64 (.f64 y z)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (*.f64 1/24 (pow.f64 y 4))))))
(+.f64 1 (+.f64 (+.f64 x (.f64 1/24 (pow.f64 y 4))) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 y (neg.f64 z)))))
(+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 (+.f64 x (.f64 -1/2 (pow.f64 y 2))) (-.f64 1 (*.f64 y z))))
(+.f64 (+.f64 x (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 1/24 (pow.f64 y 4)) (-.f64 1 (*.f64 y z))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 x (.f64 y z))) (+.f64 1 (*.f64 1/24 (pow.f64 y 4))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (-.f64 1 (*.f64 y z)))))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (cos.f64 y) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 y z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 y z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 0)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 0 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (cos.f64 y))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x (-.f64 1 (*.f64 y z)))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (neg.f64 (*.f64 y z)) (+.f64 x (cos.f64 y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (+.f64 (cos.f64 y) (+.f64 x (-.f64 1 (*.f64 y z)))) -1)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(+.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 1/2) (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 1/2))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 1)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 1 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 -1 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1/2))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 2 (-.f64 (.f64 (+.f64 x (cos.f64 y)) 1/2) (.f64 z (.f64 y 1/2))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 2) 1/2)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y))) -1)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 4 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4) 1/4)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 1/2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 2))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 1/2 (-.f64 (.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 y (+.f64 z z))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1/2) 2)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4) 4)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 1)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 2) 2)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))) -1)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4) 4)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (.f64 2 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y)))) -2)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 y z))) 4)) 8)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (.f64 2 (.f64 2 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))))) -4)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4))) 16)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y))))) 2)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x (.f64 y z))) 4)))) 32)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y))))) (neg.f64 (.f64 2 (-.f64 (.f64 y z) (+.f64 x (cos.f64 y)))))) 4)
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))
(neg.f64 (-.f64 (*.f64 y z) (+.f64 x (cos.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 y z)) x)
(+.f64 (cos.f64 y) (-.f64 x (*.f64 y z)))

localize425.0ms (2.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (cos.f64 y))
✓	0.2b	(*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))))
✓	0.5b	(-.f64 1 (sin.f64 (neg.f64 y)))
✓	3.4b	(+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))

Compiler

Compiled 54 to 26 computations (51.9% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))))
0.0ms	z	@	inf	(*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))))
0.0ms	y	@	inf	(*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))))
0.0ms	y	@	-inf	(*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))))
0.0ms	y	@	0	(*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`bool.json-1`
1312×	`bool.json-2`
1270×	`rational.json-1`
1270×	`rational.json-2`
1270×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	130	63
2	367	47
3	801	27
4	1794	27
5	4271	27

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))
(-.f64 1 (sin.f64 (neg.f64 y)))
(*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sin.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (neg.f64 y) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) y))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) (-.f64 (neg.f64 y) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 (PI.f64) y))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 y) (sin.f64 y))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (sin.f64 y) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 y) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (sin.f64 y)) 1/2) (*.f64 (+.f64 1 (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 1 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sin.f64 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sin.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -2 (*.f64 (sin.f64 y) -2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (sin.f64 y) 1/2)) (*.f64 z (*.f64 (sin.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (sin.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (sin.f64 y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z (*.f64 (sin.f64 y) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (sin.f64 y) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (sin.f64 y) 4)))) (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (sin.f64 y) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))))

simplify221.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2382×	`rational.json-simplify-2`
1844×	`rational.json-simplify-35`
1622×	`rational.json-simplify-1`
886×	`rational.json-simplify-51`
744×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	175	2034
1	379	2034
2	904	1336
3	2414	1324
4	4626	1320
5	5212	1320
6	5846	1320
7	6206	1320
8	6635	1320
9	6960	1320

Stop Event

1×	node limit

Counts

118 → 124

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 -1 (sin.f64 (neg.f64 y)))
(*.f64 -1 (sin.f64 (neg.f64 y)))
(*.f64 -1 (sin.f64 (neg.f64 y)))
(*.f64 -1 (sin.f64 (neg.f64 y)))
(.f64 -1 (sin.f64 (.f64 -1 y)))
(.f64 -1 (sin.f64 (.f64 -1 y)))
(.f64 -1 (sin.f64 (.f64 -1 y)))
(.f64 -1 (sin.f64 (.f64 -1 y)))
1
(+.f64 1 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(-.f64 1 (sin.f64 (*.f64 -1 y)))
(-.f64 1 (sin.f64 (*.f64 -1 y)))
(-.f64 1 (sin.f64 (*.f64 -1 y)))
(-.f64 1 (sin.f64 (*.f64 -1 y)))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(.f64 -1 (.f64 (sin.f64 (*.f64 -1 y)) z))
(.f64 -1 (.f64 (sin.f64 (*.f64 -1 y)) z))
(.f64 -1 (.f64 (sin.f64 (*.f64 -1 y)) z))
(.f64 -1 (.f64 (sin.f64 (*.f64 -1 y)) z))
(-.f64 -1 (-.f64 -1 (sin.f64 y)))
(-.f64 1 (-.f64 1 (sin.f64 y)))
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(-.f64 0 (sin.f64 (neg.f64 y)))
(-.f64 (sin.f64 y) 0)
(-.f64 (+.f64 -1 (sin.f64 y)) -1)
(*.f64 -1 (sin.f64 (neg.f64 y)))
(*.f64 1 (sin.f64 y))
(*.f64 (sin.f64 (neg.f64 y)) -1)
(.f64 2 (.f64 (sin.f64 y) 1/2))
(*.f64 (sin.f64 y) 1)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(.f64 (.f64 2 (sin.f64 y)) 1/2)
(.f64 (.f64 (sin.f64 y) 4) 1/4)
(.f64 1/2 (.f64 2 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) 1/2) 2)
(.f64 1/4 (.f64 (sin.f64 y) 4))
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(/.f64 (sin.f64 (neg.f64 y)) -1)
(/.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(/.f64 (*.f64 2 (sin.f64 y)) 2)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 y) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4)))) 32)
(neg.f64 (sin.f64 (neg.f64 y)))
(sin.f64 y)
(sin.f64 (-.f64 (neg.f64 y) (PI.f64)))
(sin.f64 (-.f64 (PI.f64) y))
(sin.f64 (-.f64 (PI.f64) (-.f64 (neg.f64 y) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 (PI.f64) y))))
(+.f64 -1 (-.f64 (sin.f64 y) -2))
(+.f64 1 (sin.f64 y))
(+.f64 (+.f64 1 (sin.f64 y)) 0)
(+.f64 0 (+.f64 1 (sin.f64 y)))
(+.f64 (sin.f64 y) 1)
(+.f64 -2 (+.f64 (-.f64 (sin.f64 y) -2) 1))
(+.f64 (-.f64 (sin.f64 y) -2) -1)
(+.f64 (.f64 (+.f64 1 (sin.f64 y)) 1/2) (.f64 (+.f64 1 (sin.f64 y)) 1/2))
(*.f64 -1 (-.f64 -1 (sin.f64 y)))
(*.f64 1 (+.f64 1 (sin.f64 y)))
(*.f64 (+.f64 1 (sin.f64 y)) 1)
(.f64 2 (.f64 (+.f64 1 (sin.f64 y)) 1/2))
(*.f64 4 (/.f64 (+.f64 1 (sin.f64 y)) 4))
(.f64 (.f64 (+.f64 1 (sin.f64 y)) 2) 1/2)
(*.f64 (-.f64 -1 (sin.f64 y)) -1)
(.f64 (.f64 (+.f64 1 (sin.f64 y)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 1 (sin.f64 y)) 2))
(.f64 (.f64 (+.f64 1 (sin.f64 y)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 1 (sin.f64 y)) 4))
(*.f64 (/.f64 (+.f64 1 (sin.f64 y)) 4) 4)
(/.f64 (+.f64 1 (sin.f64 y)) 1)
(/.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 2)
(/.f64 (-.f64 -1 (sin.f64 y)) -1)
(/.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 1 (sin.f64 y)) 4)) 8)
(/.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)
(/.f64 (.f64 2 (+.f64 -2 (.f64 (sin.f64 y) -2))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) 16)
(/.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (sin.f64 y)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (sin.f64 y)) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (+.f64 -2 (.f64 (sin.f64 y) -2))) (neg.f64 (+.f64 -2 (.f64 (sin.f64 y) -2)))) 4)
(neg.f64 (-.f64 -1 (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(+.f64 0 (*.f64 z (sin.f64 y)))
(+.f64 (.f64 z (.f64 (sin.f64 y) 1/2)) (.f64 z (.f64 (sin.f64 y) 1/2)))
(-.f64 (*.f64 z (sin.f64 y)) 0)
(/.f64 (*.f64 z (sin.f64 y)) 1)
(/.f64 (.f64 (.f64 z (sin.f64 y)) 2) 2)
(/.f64 (.f64 z (.f64 (sin.f64 y) 4)) 4)
(/.f64 (.f64 2 (.f64 z (*.f64 (sin.f64 y) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (sin.f64 y) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (sin.f64 y) 4)))) (.f64 2 (.f64 2 (.f64 z (.f64 (sin.f64 y) 4))))) 32)

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (+.f64 y (.f64 1/120 (pow.f64 y 5))) (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7))))
(+.f64 y (+.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5))) (*.f64 -1/5040 (pow.f64 y 7))))
(*.f64 -1 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 -1 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 -1 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 -1 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 -1 (sin.f64 (.f64 -1 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 -1 (sin.f64 (.f64 -1 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 -1 (sin.f64 (.f64 -1 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 -1 (sin.f64 (.f64 -1 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y 1))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) 1)))
(+.f64 y (+.f64 (+.f64 (.f64 1/120 (pow.f64 y 5)) 1) (.f64 -1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) 1)))
(-.f64 1 (sin.f64 (*.f64 -1 y)))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(-.f64 1 (sin.f64 (*.f64 -1 y)))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(-.f64 1 (sin.f64 (*.f64 -1 y)))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(-.f64 1 (sin.f64 (*.f64 -1 y)))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 y z) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) z)) (.f64 -1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 -1/6 z)) (.f64 z (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(.f64 (+.f64 y (+.f64 (.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 y z) (+.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) z)) (.f64 -1/5040 (.f64 (pow.f64 y 7) z))) (.f64 -1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) z)) (.f64 -1/5040 (*.f64 (pow.f64 y 7) z)))))
(+.f64 (+.f64 (.f64 (pow.f64 y 3) (.f64 -1/6 z)) (.f64 1/120 (.f64 (pow.f64 y 5) z))) (.f64 z (+.f64 y (.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 -1/6 z)) (.f64 z (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))) z))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 z (sin.f64 (neg.f64 y))))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 (sin.f64 (*.f64 -1 y)) z))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 (sin.f64 (*.f64 -1 y)) z))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 (sin.f64 (*.f64 -1 y)) z))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 (sin.f64 (*.f64 -1 y)) z))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(-.f64 -1 (-.f64 -1 (sin.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 1 (-.f64 1 (sin.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 0 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (sin.f64 y) 0)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 -1 (sin.f64 y)) -1)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 -1 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sin.f64 (neg.f64 y)) -1)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 2 (.f64 (sin.f64 y) 1/2))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 (.f64 2 (sin.f64 y)) 1/2)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 (.f64 (sin.f64 y) 4) 1/4)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 1/2 (.f64 2 (sin.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 (.f64 (sin.f64 y) 1/2) 2)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(.f64 1/4 (.f64 (sin.f64 y) 4))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (sin.f64 (neg.f64 y)) -1)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (sin.f64 y) 1)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (*.f64 2 (sin.f64 y)) 2)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) 8)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sin.f64 y) 4))) 16)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) 4)))) 32)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(neg.f64 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 (-.f64 (neg.f64 y) (PI.f64)))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(sin.f64 (-.f64 (PI.f64) y))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(sin.f64 (-.f64 (PI.f64) (-.f64 (neg.f64 y) (PI.f64))))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(sin.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 (PI.f64) y))))
(neg.f64 (sin.f64 (+.f64 (PI.f64) (-.f64 (PI.f64) y))))
(sin.f64 (-.f64 (-.f64 y (PI.f64)) (PI.f64)))
(+.f64 -1 (-.f64 (sin.f64 y) -2))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 (+.f64 1 (sin.f64 y)) 0)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(+.f64 0 (+.f64 1 (sin.f64 y)))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(+.f64 -2 (+.f64 (-.f64 (sin.f64 y) -2) 1))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(+.f64 (-.f64 (sin.f64 y) -2) -1)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(+.f64 (.f64 (+.f64 1 (sin.f64 y)) 1/2) (.f64 (+.f64 1 (sin.f64 y)) 1/2))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(*.f64 -1 (-.f64 -1 (sin.f64 y)))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(*.f64 1 (+.f64 1 (sin.f64 y)))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(*.f64 (+.f64 1 (sin.f64 y)) 1)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(.f64 2 (.f64 (+.f64 1 (sin.f64 y)) 1/2))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(*.f64 4 (/.f64 (+.f64 1 (sin.f64 y)) 4))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(.f64 (.f64 (+.f64 1 (sin.f64 y)) 2) 1/2)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(*.f64 (-.f64 -1 (sin.f64 y)) -1)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(.f64 (.f64 (+.f64 1 (sin.f64 y)) 4) 1/4)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(.f64 1/2 (.f64 (+.f64 1 (sin.f64 y)) 2))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(.f64 (.f64 (+.f64 1 (sin.f64 y)) 1/2) 2)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(.f64 1/4 (.f64 (+.f64 1 (sin.f64 y)) 4))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(*.f64 (/.f64 (+.f64 1 (sin.f64 y)) 4) 4)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(/.f64 (+.f64 1 (sin.f64 y)) 1)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(/.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 2)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(/.f64 (-.f64 -1 (sin.f64 y)) -1)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(/.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 4)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(/.f64 (.f64 2 (.f64 (+.f64 1 (sin.f64 y)) 4)) 8)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(/.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)
(.f64 (+.f64 -2 (.f64 (sin.f64 y) -2)) -1/2)
(/.f64 (.f64 2 (+.f64 -2 (.f64 (sin.f64 y) -2))) -4)
(/.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)
(.f64 (+.f64 -2 (.f64 (sin.f64 y) -2)) -1/2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) 16)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(/.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) 2)
(/.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)
(.f64 (+.f64 -2 (.f64 (sin.f64 y) -2)) -1/2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (sin.f64 y)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (sin.f64 y)) 4)))) 32)
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(/.f64 (+.f64 (neg.f64 (+.f64 -2 (.f64 (sin.f64 y) -2))) (neg.f64 (+.f64 -2 (.f64 (sin.f64 y) -2)))) 4)
(/.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)
(.f64 (+.f64 -2 (.f64 (sin.f64 y) -2)) -1/2)
(neg.f64 (-.f64 -1 (sin.f64 y)))
(-.f64 1 (neg.f64 (sin.f64 y)))
(+.f64 1 (sin.f64 y))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(+.f64 0 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 z (.f64 (sin.f64 y) 1/2)) (.f64 z (.f64 (sin.f64 y) 1/2)))
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(/.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(/.f64 (.f64 (.f64 z (sin.f64 y)) 2) 2)
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(/.f64 (.f64 z (.f64 (sin.f64 y) 4)) 4)
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(/.f64 (.f64 2 (.f64 z (*.f64 (sin.f64 y) 4))) 8)
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (sin.f64 y) 4)))) 16)
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (sin.f64 y) 4)))) (.f64 2 (.f64 2 (.f64 z (.f64 (sin.f64 y) 4))))) 32)
(*.f64 z (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))
(*.f64 z (sin.f64 y))

eval133.0ms (0.8%)

Compiler: Compiled 8300 to 4530 computations (45.4% saved)

prune102.0ms (0.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	541	10	551
Fresh	0	3	3
Picked	1	0	1
Done	3	2	5
Total	545	15	560

Error

0.1b

Counts

560 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	21.3b	(-.f64 (+.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (*.f64 z y))
✓	0.1b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
	12.1b	(-.f64 (+.f64 x 1) (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))
▶	8.0b	(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
	26.8b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	22.9b	(-.f64 x (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))
✓	19.0b	(-.f64 x (*.f64 z (sin.f64 y)))
	35.8b	(-.f64 x (*.f64 z y))
▶	25.3b	(-.f64 x -1)
▶	47.6b	(-.f64 1 (*.f64 y z))
▶	17.7b	(+.f64 (cos.f64 y) x)
▶	17.7b	(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 1)))
	45.3b	(*.f64 (sin.f64 y) (neg.f64 z))
	58.1b	(*.f64 z (neg.f64 y))
	36.2b	x

Compiler

Compiled 267 to 199 computations (25.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.2b	(*.f64 z (sin.f64 y))

Compiler

Compiled 24 to 11 computations (54.2% saved)

localize3.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize5.0ms (0%)

Compiler: Compiled 14 to 7 computations (50% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.0b	(+.f64 (cos.f64 y) x)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 7

Calls

6 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`bool.json-1`
1826×	`bool.json-2`
1324×	`rational.json-simplify-35`
1140×	`rational.json-1`
1140×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	71	11
2	210	11
3	464	11
4	1003	11
5	2234	11
6	4607	11
7	7435	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(+.f64 (cos.f64 y) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (cos.f64 y) 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 y) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 y) x) (+.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 y) x) (+.f64 (cos.f64 y) x))))))

simplify349.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2042×	`rational.json-simplify-2`
1828×	`rational.json-simplify-1`
1272×	`rational.json-simplify-35`
1208×	`rational.json-simplify-49`
1200×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	381
1	142	381
2	344	381
3	813	381
4	1350	381
5	2987	381
6	3403	381
7	3473	381
8	3551	381
9	3648	381
10	3761	381
11	4603	381
12	4767	381
13	4896	381
14	4998	381
15	5083	381
16	5167	381
17	6311	381
18	6682	381
19	7781	381

Stop Event

1×	node limit

Counts

27 → 42

Calls

Call 1

Inputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(cos.f64 y)
x
x
(-.f64 (+.f64 (cos.f64 y) x) 0)
(*.f64 (+.f64 (cos.f64 y) x) 1)
(*.f64 1 (+.f64 (cos.f64 y) x))
(.f64 2 (.f64 (+.f64 (cos.f64 y) x) 1/2))
(.f64 2 (+.f64 (.f64 (cos.f64 y) 1/2) (*.f64 x 1/2)))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) x) 4))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 y) x) 2))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (cos.f64 y) 2)))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) x) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 y) x) 4) 4)
(/.f64 (+.f64 (cos.f64 y) x) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 y) x) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 y) x) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 y) x) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8)))) 64)

Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 x (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 (+.f64 1 x) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 1/24 (pow.f64 y 4)))))
(+.f64 1 (+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (+.f64 1 x) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 1/24 (pow.f64 y 4)))) (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (+.f64 1 (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) (+.f64 1 x))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (+.f64 x (.f64 1/24 (pow.f64 y 4))) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 1 (+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/720 (pow.f64 y 6))))))
(+.f64 x (+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/720 (pow.f64 y 6))) (+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 x (+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/720 (pow.f64 y 6)))))
(cos.f64 y)
x
x
(-.f64 (+.f64 (cos.f64 y) x) 0)
(+.f64 x (cos.f64 y))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(*.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (cos.f64 y))
(.f64 2 (.f64 (+.f64 (cos.f64 y) x) 1/2))
(+.f64 x (cos.f64 y))
(.f64 2 (+.f64 (.f64 (cos.f64 y) 1/2) (*.f64 x 1/2)))
(+.f64 x (cos.f64 y))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 2) 1/2)
(+.f64 x (cos.f64 y))
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) x) 4))
(+.f64 x (cos.f64 y))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 4) 1/4)
(+.f64 x (cos.f64 y))
(.f64 1/2 (.f64 (+.f64 (cos.f64 y) x) 2))
(+.f64 x (cos.f64 y))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (cos.f64 y) 2)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 2 (cos.f64 y))))
(.f64 1/2 (+.f64 x (+.f64 x (.f64 2 (cos.f64 y)))))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 1/2) 2)
(+.f64 x (cos.f64 y))
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) x) 4))
(+.f64 x (cos.f64 y))
(*.f64 (/.f64 (+.f64 (cos.f64 y) x) 4) 4)
(+.f64 x (cos.f64 y))
(/.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 y) x) 2) 2)
(+.f64 x (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 y) x) 4) 4)
(+.f64 x (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 y) x) 8) 8)
(+.f64 x (cos.f64 y))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8)) 16)
(+.f64 x (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 8))) 32)
(+.f64 x (cos.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8)))) 64)
(+.f64 x (cos.f64 y))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.2b	(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 1)))
✓	0.2b	(+.f64 (cos.f64 y) (+.f64 x 1))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1742×	`bool.json-1`
1742×	`bool.json-2`
1692×	`rational.json-1`
1162×	`bool.json-3`
980×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	121	40
2	356	28
3	781	28
4	1802	28
5	3815	28
6	6699	28

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (+.f64 x 1) 1/2) (*.f64 (cos.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (cos.f64 y) 1/2) (*.f64 (+.f64 x 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/2) (/.f64 (+.f64 (cos.f64 y) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x (+.f64 x 2)) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 y) 2) (+.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8)) (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 y) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 (cos.f64 y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 y) (+.f64 x 1)) (+.f64 (cos.f64 y) (+.f64 x 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/2) (*.f64 (cos.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (cos.f64 y) 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 y) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (cos.f64 y) x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 y) 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 y) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (cos.f64 y) x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 8)) (*.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 y) x) (+.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 y) x) (+.f64 (cos.f64 y) x))))))

simplify414.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1936×	`rational.json-simplify-1`
1900×	`rational.json-simplify-35`
1878×	`rational.json-simplify-2`
1572×	`rational.json-simplify-48`
1522×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1554
1	258	1554
2	634	1554
3	1486	1554
4	2288	1554
5	2815	1554
6	3266	1554
7	3427	1554
8	3545	1554
9	3651	1554
10	4486	1554
11	4620	1554
12	5422	1554
13	5963	1554
14	6476	1554
15	6774	1554
16	7395	1554
17	7576	1554
18	7773	1554
19	7951	1554

Stop Event

1×	node limit

Counts

96 → 94

Calls

Call 1

Inputs
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (cos.f64 y))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
x
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
x
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 0)
(-.f64 (+.f64 (cos.f64 y) x) -1)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)
(*.f64 1 (+.f64 (cos.f64 y) (+.f64 x 1)))
(*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1)
(.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1/2))
(.f64 2 (+.f64 (.f64 (+.f64 x 1) 1/2) (*.f64 (cos.f64 y) 1/2)))
(.f64 2 (+.f64 (.f64 (cos.f64 y) 1/2) (*.f64 (+.f64 x 1) 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (/.f64 (+.f64 (cos.f64 y) 1) 2)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4))
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2) 1/2)
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2))
(.f64 1/2 (+.f64 (+.f64 x (+.f64 x 2)) (.f64 (cos.f64 y) 2)))
(.f64 1/2 (+.f64 (.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 x x)))
(.f64 1/2 (+.f64 (.f64 (cos.f64 y) 2) (+.f64 x (+.f64 x 2))))
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4))
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4) 4)
(/.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1)
(/.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8)) (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8))) 32)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1)
(-.f64 (+.f64 (cos.f64 y) x) 0)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) -1)
(*.f64 1 (+.f64 (cos.f64 y) x))
(.f64 2 (.f64 (+.f64 (cos.f64 y) x) 1/2))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (cos.f64 y) 1/2)))
(.f64 2 (+.f64 (.f64 (cos.f64 y) 1/2) (*.f64 x 1/2)))
(.f64 (.f64 2 (+.f64 (cos.f64 y) x)) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) x) 4))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(.f64 (.f64 4 (+.f64 (cos.f64 y) x)) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (cos.f64 y) x)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (cos.f64 y) 2)))
(.f64 1/2 (+.f64 (.f64 (cos.f64 y) 2) (+.f64 x x)))
(.f64 1/4 (.f64 4 (+.f64 (cos.f64 y) x)))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 y) x) 4) 4)
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) x)) 2)
(/.f64 (+.f64 (cos.f64 y) x) 1)
(/.f64 (*.f64 4 (+.f64 (cos.f64 y) x)) 4)
(/.f64 (*.f64 (+.f64 (cos.f64 y) x) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8)) (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8))) 32)

Outputs
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 2 x))
(+.f64 2 (+.f64 x (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 x (+.f64 2 (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 2 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 1/24 (pow.f64 y 4)))))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 2 (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 2 (+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (.f64 -1/2 (pow.f64 y 2)))) (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4)))) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) 2))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (+.f64 x (.f64 1/24 (pow.f64 y 4))) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
x
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
x
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 x 1))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 y 2)) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (.f64 -1/2 (pow.f64 y 2)))) 1)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (+.f64 x (.f64 1/24 (pow.f64 y 4))) -1))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (+.f64 x (.f64 1/24 (pow.f64 y 4))) 1))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) 1)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (*.f64 -1/2 (pow.f64 y 2)))) 1))
(+.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4)))) (+.f64 1 (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (+.f64 x (.f64 -1/2 (pow.f64 y 2))) (+.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (+.f64 x (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) 1)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (+.f64 x (.f64 1/24 (pow.f64 y 4))) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) 1)))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
x
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
x
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 0)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) -1)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(*.f64 1 (+.f64 (cos.f64 y) (+.f64 x 1)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1/2))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(.f64 2 (+.f64 (.f64 (+.f64 x 1) 1/2) (*.f64 (cos.f64 y) 1/2)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(.f64 2 (+.f64 (.f64 (cos.f64 y) 1/2) (*.f64 (+.f64 x 1) 1/2)))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(.f64 2 (+.f64 (.f64 x 1/2) (/.f64 (+.f64 (cos.f64 y) 1) 2)))
(.f64 2 (+.f64 (.f64 x 1/2) (/.f64 (+.f64 1 (cos.f64 y)) 2)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2) 1/2)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4) 1/4)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(.f64 1/2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(.f64 1/2 (+.f64 (+.f64 x (+.f64 x 2)) (.f64 (cos.f64 y) 2)))
(.f64 1/2 (+.f64 x (+.f64 (+.f64 2 x) (.f64 2 (cos.f64 y)))))
(.f64 1/2 (+.f64 2 (+.f64 (.f64 2 (cos.f64 y)) (+.f64 x x))))
(.f64 1/2 (+.f64 (+.f64 2 x) (+.f64 x (.f64 2 (cos.f64 y)))))
(.f64 1/2 (+.f64 (.f64 (+.f64 (cos.f64 y) 1) 2) (+.f64 x x)))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 1 (cos.f64 y))) (+.f64 x x)))
(.f64 1/2 (+.f64 x (+.f64 x (.f64 2 (+.f64 1 (cos.f64 y))))))
(.f64 1/2 (+.f64 (.f64 (cos.f64 y) 2) (+.f64 x (+.f64 x 2))))
(.f64 1/2 (+.f64 x (+.f64 (+.f64 2 x) (.f64 2 (cos.f64 y)))))
(.f64 1/2 (+.f64 2 (+.f64 (.f64 2 (cos.f64 y)) (+.f64 x x))))
(.f64 1/2 (+.f64 (+.f64 2 x) (+.f64 x (.f64 2 (cos.f64 y)))))
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4))
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1/2) 2)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(*.f64 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4) 4)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 2) 2)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 4) 4)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8) 8)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8)) 16)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8)) (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 8))) 32)
(+.f64 (cos.f64 y) (+.f64 x 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 1)) 1)
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) x) 0)
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) -1)
(+.f64 x (cos.f64 y))
(*.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (cos.f64 y))
(.f64 2 (.f64 (+.f64 (cos.f64 y) x) 1/2))
(+.f64 x (cos.f64 y))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (cos.f64 y) 1/2)))
(+.f64 x (cos.f64 y))
(.f64 2 (+.f64 (.f64 (cos.f64 y) 1/2) (*.f64 x 1/2)))
(+.f64 x (cos.f64 y))
(.f64 (.f64 2 (+.f64 (cos.f64 y) x)) 1/2)
(+.f64 x (cos.f64 y))
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) x) 4))
(+.f64 x (cos.f64 y))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(.f64 (.f64 4 (+.f64 (cos.f64 y) x)) 1/4)
(+.f64 x (cos.f64 y))
(.f64 1/2 (.f64 2 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (cos.f64 y) 2)))
(.f64 1/2 (+.f64 x (+.f64 x (.f64 2 (cos.f64 y)))))
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 y)) (+.f64 x x)))
(.f64 1/2 (+.f64 (.f64 (cos.f64 y) 2) (+.f64 x x)))
(.f64 1/2 (+.f64 x (+.f64 x (.f64 2 (cos.f64 y)))))
(.f64 1/2 (+.f64 (.f64 2 (cos.f64 y)) (+.f64 x x)))
(.f64 1/4 (.f64 4 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 1/2) 2)
(+.f64 x (cos.f64 y))
(*.f64 (/.f64 (+.f64 (cos.f64 y) x) 4) 4)
(+.f64 x (cos.f64 y))
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) x)) 2)
(+.f64 x (cos.f64 y))
(/.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(/.f64 (*.f64 4 (+.f64 (cos.f64 y) x)) 4)
(+.f64 x (cos.f64 y))
(/.f64 (*.f64 (+.f64 (cos.f64 y) x) 8) 8)
(+.f64 x (cos.f64 y))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8)) 16)
(+.f64 x (cos.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8)) (.f64 2 (.f64 (+.f64 (cos.f64 y) x) 8))) 32)
(+.f64 x (cos.f64 y))

eval66.0ms (0.4%)

Compiler: Compiled 3466 to 2394 computations (30.9% saved)

prune49.0ms (0.3%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	273	4	277
Fresh	1	7	8
Picked	0	1	1
Done	0	6	6
Total	274	18	292

Error

0.1b

Counts

292 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶	12.1b	(-.f64 (+.f64 x 1) (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))
✓	8.0b	(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
	26.8b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	22.9b	(-.f64 x (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))
✓	19.0b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	35.8b	(-.f64 x (*.f64 z y))
✓	25.3b	(-.f64 x -1)
✓	47.6b	(-.f64 1 (*.f64 y z))
	17.7b	(+.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) x)
✓	17.7b	(+.f64 (cos.f64 y) x)
▶	17.8b	(+.f64 -1 (-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1))
✓	17.7b	(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 1)))
▶	35.7b	(+.f64 -1 x)
▶	45.3b	(*.f64 (sin.f64 y) (neg.f64 z))
	58.1b	(*.f64 z (neg.f64 y))
	44.1b	(cos.f64 y)
	36.2b	x

Compiler

Compiled 264 to 202 computations (23.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 (neg.f64 y))
	0.2b	(*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))))
	0.5b	(-.f64 1 (sin.f64 (neg.f64 y)))
	3.4b	(+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))

Compiler

Compiled 50 to 28 computations (44% saved)

series0.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(sin.f64 (neg.f64 y))
0.0ms	y	@	-inf	(sin.f64 (neg.f64 y))
0.0ms	y	@	inf	(sin.f64 (neg.f64 y))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`bool.json-1`
1808×	`bool.json-2`
1248×	`bool.json-3`
894×	`rational.json-1`
894×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	61	9
2	234	9
3	553	9
4	1248	9
5	2996	9
6	7039	9

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(sin.f64 (neg.f64 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 -1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) -1/2) (*.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (sin.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 -1 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (sin.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)) (*.f64 2 (*.f64 (sin.f64 y) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (neg.f64 (sin.f64 y)) 8)) (*.f64 2 (*.f64 (neg.f64 (sin.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) (neg.f64 (*.f64 (sin.f64 y) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)) -1) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))))))

simplify233.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2040×	`rational.json-simplify-35`
1854×	`rational.json-simplify-2`
1616×	`rational.json-simplify-1`
722×	`rational.json-simplify-51`
658×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	664
1	207	560
2	463	560
3	1507	560
4	3337	560
5	4171	560
6	5310	560
7	6069	560
8	6333	560
9	6539	560
10	6750	560
11	7046	560
12	7900	560

Stop Event

1×	node limit

Counts

52 → 61

Calls

Call 1

Inputs
(*.f64 -1 y)
(+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1 y))
(+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1 y))))
(sin.f64 (*.f64 -1 y))
(sin.f64 (*.f64 -1 y))
(sin.f64 (*.f64 -1 y))
(sin.f64 (*.f64 -1 y))
(+.f64 (neg.f64 (sin.f64 y)) 0)
(+.f64 0 (neg.f64 (sin.f64 y)))
(+.f64 -1 (-.f64 1 (sin.f64 y)))
(+.f64 (-.f64 1 (sin.f64 y)) -1)
(+.f64 -2 (-.f64 1 (+.f64 -1 (sin.f64 y))))
(+.f64 (.f64 (sin.f64 y) -1/2) (.f64 (sin.f64 y) -1/2))
(+.f64 (-.f64 1 (+.f64 -1 (sin.f64 y))) -2)
(-.f64 (neg.f64 (sin.f64 y)) 0)
(-.f64 0 (sin.f64 y))
(-.f64 0 (-.f64 (+.f64 -1 (sin.f64 y)) -1))
(-.f64 1 (-.f64 (sin.f64 y) -1))
(-.f64 -1 (+.f64 -1 (sin.f64 y)))
(-.f64 (-.f64 1 (sin.f64 y)) 1)
(*.f64 (neg.f64 (sin.f64 y)) 1)
(*.f64 1 (neg.f64 (sin.f64 y)))
(*.f64 -1 (sin.f64 y))
(*.f64 (sin.f64 y) -1)
(.f64 2 (.f64 (sin.f64 y) -1/2))
(.f64 (.f64 (sin.f64 y) -2) 1/2)
(*.f64 -2 (/.f64 (sin.f64 y) 2))
(*.f64 4 (/.f64 (sin.f64 y) -4))
(.f64 (.f64 (sin.f64 y) 2) -1/2)
(.f64 (.f64 (sin.f64 y) -4) 1/4)
(.f64 1/2 (.f64 (sin.f64 y) -2))
(.f64 (.f64 (sin.f64 y) -1/2) 2)
(.f64 -1/2 (.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) 2) -2)
(.f64 1/4 (.f64 (sin.f64 y) -4))
(*.f64 (/.f64 (sin.f64 y) -4) 4)
(/.f64 (neg.f64 (sin.f64 y)) 1)
(/.f64 (sin.f64 y) -1)
(/.f64 (*.f64 (sin.f64 y) -2) 2)
(/.f64 (*.f64 (sin.f64 y) 2) -2)
(/.f64 (*.f64 (sin.f64 y) -4) 4)
(/.f64 (*.f64 (sin.f64 y) 4) -4)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) 8) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) -8)
(/.f64 (.f64 2 (.f64 (neg.f64 (sin.f64 y)) 8)) 16)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 y) 4)) (.f64 2 (.f64 (sin.f64 y) 4))) -16)
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (sin.f64 y)) 8)) (.f64 2 (.f64 (neg.f64 (sin.f64 y)) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 y) 4)) (neg.f64 (.f64 (sin.f64 y) 4))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) -1) 8)
(neg.f64 (sin.f64 y))

Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1 y))
(+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3)))
(+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 (.f64 -1 y) (*.f64 -1/120 (pow.f64 y 5))))
(+.f64 (neg.f64 y) (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5))))
(+.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) (.f64 -1/120 (pow.f64 y 5)))
(+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 (neg.f64 y) (.f64 -1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1 y))))
(+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) (.f64 1/5040 (pow.f64 y 7))))
(+.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) (+.f64 (.f64 1/5040 (pow.f64 y 7)) (*.f64 -1/120 (pow.f64 y 5))))
(+.f64 (neg.f64 y) (+.f64 (+.f64 (.f64 1/6 (pow.f64 y 3)) (.f64 -1/120 (pow.f64 y 5))) (*.f64 1/5040 (pow.f64 y 7))))
(+.f64 (neg.f64 y) (+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))))
(+.f64 (neg.f64 y) (+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7)))))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(+.f64 (neg.f64 (sin.f64 y)) 0)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(+.f64 0 (neg.f64 (sin.f64 y)))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(+.f64 -1 (-.f64 1 (sin.f64 y)))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(+.f64 (-.f64 1 (sin.f64 y)) -1)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(+.f64 -2 (-.f64 1 (+.f64 -1 (sin.f64 y))))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(+.f64 (.f64 (sin.f64 y) -1/2) (.f64 (sin.f64 y) -1/2))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(+.f64 (-.f64 1 (+.f64 -1 (sin.f64 y))) -2)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(-.f64 (neg.f64 (sin.f64 y)) 0)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(-.f64 0 (sin.f64 y))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(-.f64 0 (-.f64 (+.f64 -1 (sin.f64 y)) -1))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(-.f64 1 (-.f64 (sin.f64 y) -1))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(-.f64 -1 (+.f64 -1 (sin.f64 y)))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(-.f64 (-.f64 1 (sin.f64 y)) 1)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) 1)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(*.f64 1 (neg.f64 (sin.f64 y)))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(*.f64 -1 (sin.f64 y))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(*.f64 (sin.f64 y) -1)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(.f64 2 (.f64 (sin.f64 y) -1/2))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(.f64 (.f64 (sin.f64 y) -2) 1/2)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(*.f64 -2 (/.f64 (sin.f64 y) 2))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(*.f64 4 (/.f64 (sin.f64 y) -4))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(.f64 (.f64 (sin.f64 y) 2) -1/2)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(.f64 (.f64 (sin.f64 y) -4) 1/4)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(.f64 1/2 (.f64 (sin.f64 y) -2))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(.f64 (.f64 (sin.f64 y) -1/2) 2)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(.f64 -1/2 (.f64 (sin.f64 y) 2))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) 2) -2)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(.f64 1/4 (.f64 (sin.f64 y) -4))
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) -4) 4)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (neg.f64 (sin.f64 y)) 1)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (sin.f64 y) -1)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) -2) 2)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) 2) -2)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) -4) 4)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) 4) -4)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) 8) 8)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) -8)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (.f64 2 (.f64 (neg.f64 (sin.f64 y)) 8)) 16)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) 4)) 4)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 y) 4)) (.f64 2 (.f64 (sin.f64 y) 4))) -16)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (sin.f64 y)) 8)) (.f64 2 (.f64 (neg.f64 (sin.f64 y)) 8))) 32)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 y) 4)) (neg.f64 (.f64 (sin.f64 y) 4))) 8)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) -1) 8)
(sin.f64 (*.f64 -1 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(sin.f64 (*.f64 -1 y))

localize3.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 x (*.f64 z y))
0.0ms	x	@	inf	(-.f64 x (*.f64 z y))
0.0ms	z	@	0	(-.f64 x (*.f64 z y))
0.0ms	z	@	-inf	(-.f64 x (*.f64 z y))
0.0ms	z	@	inf	(-.f64 x (*.f64 z y))

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`bool.json-1`
1320×	`bool.json-2`
1278×	`rational.json-1`
1278×	`rational.json-2`
1278×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	69	13
2	197	13
3	429	13
4	883	13
5	1945	13
6	4435	13
7	7956	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 x (*.f64 z y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x (-.f64 1 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (*.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 (*.f64 z y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (*.f64 z y)) 1/2) (*.f64 (-.f64 x (*.f64 z y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (-.f64 (*.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 x (*.f64 z y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 z y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 x (*.f64 z y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 x 4) (/.f64 (*.f64 z y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 z y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 x (*.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 z y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 x (*.f64 z y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (*.f64 z y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 z y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 z y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 z y) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 z y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z y) x) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 z y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 z y) x) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 z y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 z y) x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 z y)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 z y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 z y) x) 4)) (neg.f64 (*.f64 (-.f64 (*.f64 z y) x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 x (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 x (*.f64 z y)) (-.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 x (*.f64 z y)) (-.f64 x (*.f64 z y)))))))

simplify420.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1986×	`rational.json-simplify-35`
1902×	`rational.json-simplify-1`
1816×	`rational.json-simplify-2`
1310×	`rational.json-simplify-52`
898×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1037
1	189	1037
2	422	1037
3	967	1037
4	1854	1037
5	3006	1037
6	3662	1037
7	3810	1037
8	3922	1037
9	4058	1037
10	4262	1037
11	4757	1037
12	5852	1037
13	6573	1037
14	7546	1037
15	7598	1037
16	7611	1037
17	7611	1037
18	7611	1037

Stop Event

1×	node limit

Counts

73 → 49

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 z y)))
(+.f64 (-.f64 x (*.f64 z y)) 0)
(+.f64 0 (-.f64 x (*.f64 z y)))
(+.f64 (neg.f64 (*.f64 z y)) x)
(+.f64 -1 (+.f64 x (-.f64 1 (*.f64 z y))))
(+.f64 -1 (+.f64 (-.f64 1 (*.f64 z y)) x))
(+.f64 (+.f64 x (-.f64 1 (*.f64 z y))) -1)
(+.f64 (.f64 (-.f64 x (.f64 z y)) 1/2) (.f64 (-.f64 x (.f64 z y)) 1/2))
(+.f64 -2 (-.f64 2 (-.f64 (*.f64 z y) x)))
(.f64 (-.f64 x (.f64 z y)) 1)
(.f64 1 (-.f64 x (.f64 z y)))
(.f64 2 (.f64 (-.f64 x (*.f64 z y)) 1/2))
(.f64 (.f64 (-.f64 x (*.f64 z y)) 2) 1/2)
(.f64 (-.f64 (.f64 z y) x) -1)
(.f64 4 (/.f64 (-.f64 x (.f64 z y)) 4))
(.f64 4 (-.f64 (/.f64 x 4) (/.f64 (.f64 z y) 4)))
(.f64 (.f64 (-.f64 x (*.f64 z y)) 4) 1/4)
(.f64 -1 (-.f64 (.f64 z y) x))
(.f64 1/2 (.f64 (-.f64 x (*.f64 z y)) 2))
(.f64 (.f64 (-.f64 x (*.f64 z y)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 x (*.f64 z y)) 4))
(.f64 1/4 (-.f64 (.f64 x 4) (.f64 z (.f64 y 4))))
(.f64 (/.f64 (-.f64 x (.f64 z y)) 4) 4)
(/.f64 (-.f64 x (*.f64 z y)) 1)
(/.f64 (.f64 (-.f64 x (.f64 z y)) 2) 2)
(/.f64 (-.f64 (*.f64 z y) x) -1)
(/.f64 (.f64 (-.f64 x (.f64 z y)) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 z y) x)) -2)
(/.f64 (.f64 (-.f64 x (.f64 z y)) 8) 8)
(/.f64 (.f64 (-.f64 (.f64 z y) x) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 z y)) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 z y) x) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z y)) 8))) 32)
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 z y) x) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z y)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z y)) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 z y) x) 4)) (neg.f64 (.f64 (-.f64 (.f64 z y) x) 4))) 8)
(neg.f64 (-.f64 (*.f64 z y) x))

Outputs
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 x (neg.f64 (*.f64 z y)))
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (-.f64 x (*.f64 z y)) 0)
(-.f64 x (*.f64 y z))
(+.f64 0 (-.f64 x (*.f64 z y)))
(-.f64 x (*.f64 y z))
(+.f64 (neg.f64 (*.f64 z y)) x)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 -1 (+.f64 x (-.f64 1 (*.f64 z y))))
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 -1 (+.f64 (-.f64 1 (*.f64 z y)) x))
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (+.f64 x (-.f64 1 (*.f64 z y))) -1)
(+.f64 x (neg.f64 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 (-.f64 x (.f64 z y)) 1/2) (.f64 (-.f64 x (.f64 z y)) 1/2))
(-.f64 x (*.f64 y z))
(+.f64 -2 (-.f64 2 (-.f64 (*.f64 z y) x)))
(-.f64 x (*.f64 y z))
(.f64 (-.f64 x (.f64 z y)) 1)
(-.f64 x (*.f64 y z))
(.f64 1 (-.f64 x (.f64 z y)))
(-.f64 x (*.f64 y z))
(.f64 2 (.f64 (-.f64 x (*.f64 z y)) 1/2))
(-.f64 x (*.f64 y z))
(.f64 (.f64 (-.f64 x (*.f64 z y)) 2) 1/2)
(-.f64 x (*.f64 y z))
(.f64 (-.f64 (.f64 z y) x) -1)
(-.f64 x (*.f64 y z))
(.f64 4 (/.f64 (-.f64 x (.f64 z y)) 4))
(-.f64 x (*.f64 y z))
(.f64 4 (-.f64 (/.f64 x 4) (/.f64 (.f64 z y) 4)))
(.f64 4 (-.f64 (/.f64 x 4) (.f64 y (/.f64 z 4))))
(.f64 4 (-.f64 (/.f64 x 4) (/.f64 (.f64 y z) 4)))
(.f64 (.f64 (-.f64 x (*.f64 z y)) 4) 1/4)
(-.f64 x (*.f64 y z))
(.f64 -1 (-.f64 (.f64 z y) x))
(-.f64 x (*.f64 y z))
(.f64 1/2 (.f64 (-.f64 x (*.f64 z y)) 2))
(-.f64 x (*.f64 y z))
(.f64 (.f64 (-.f64 x (*.f64 z y)) 1/2) 2)
(-.f64 x (*.f64 y z))
(.f64 1/4 (.f64 (-.f64 x (*.f64 z y)) 4))
(-.f64 x (*.f64 y z))
(.f64 1/4 (-.f64 (.f64 x 4) (.f64 z (.f64 y 4))))
(-.f64 x (*.f64 y z))
(.f64 (/.f64 (-.f64 x (.f64 z y)) 4) 4)
(-.f64 x (*.f64 y z))
(/.f64 (-.f64 x (*.f64 z y)) 1)
(-.f64 x (*.f64 y z))
(/.f64 (.f64 (-.f64 x (.f64 z y)) 2) 2)
(-.f64 x (*.f64 y z))
(/.f64 (-.f64 (*.f64 z y) x) -1)
(-.f64 x (*.f64 y z))
(/.f64 (.f64 (-.f64 x (.f64 z y)) 4) 4)
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (-.f64 (.f64 z y) x)) -2)
(-.f64 x (*.f64 y z))
(/.f64 (.f64 (-.f64 x (.f64 z y)) 8) 8)
(-.f64 x (*.f64 y z))
(/.f64 (.f64 (-.f64 (.f64 z y) x) 4) -4)
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 z y)) 8)) 16)
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 z y) x) 4)) -8)
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z y)) 8))) 32)
(-.f64 x (*.f64 y z))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 z y) x) 4)) 4)
(-.f64 x (*.f64 y z))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z y)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z y)) 8)))) 64)
(-.f64 x (*.f64 y z))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 z y) x) 4)) (neg.f64 (.f64 (-.f64 (.f64 z y) x) 4))) 8)
(-.f64 x (*.f64 y z))
(neg.f64 (-.f64 (*.f64 z y) x))
(-.f64 x (*.f64 y z))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.2b	(*.f64 (sin.f64 y) (neg.f64 z))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms	y	@	-inf	(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms	z	@	0	(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms	y	@	inf	(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms	z	@	inf	(*.f64 (sin.f64 y) (neg.f64 z))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`bool.json-1`
1700×	`bool.json-2`
1646×	`rational.json-1`
1138×	`bool.json-3`
842×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	86	15
2	266	15
3	589	15
4	1286	15
5	2961	15
6	6474	15

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) (neg.f64 z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (/.f64 z -2)) (*.f64 (sin.f64 y) (/.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 z -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 z -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 8)) (*.f64 2 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))))))

simplify293.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2246×	`rational.json-simplify-2`
1916×	`rational.json-simplify-35`
1626×	`rational.json-simplify-1`
846×	`rational.json-simplify-53`
776×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	698
1	151	698
2	291	698
3	641	674
4	2179	674
5	3021	674
6	3740	674
7	4262	674
8	5235	674
9	5747	674
10	6806	674
11	7030	674
12	7275	674
13	7530	674

Stop Event

1×	node limit

Counts

38 → 37

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 0)
(+.f64 0 (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 y) z)))
(+.f64 (.f64 (sin.f64 y) (/.f64 z -2)) (.f64 (sin.f64 y) (/.f64 z -2)))
(-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 0)
(-.f64 0 (*.f64 (sin.f64 y) z))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1)
(/.f64 (.f64 (sin.f64 y) (.f64 z -2)) 2)
(/.f64 (.f64 (sin.f64 y) (.f64 z -4)) 4)
(/.f64 (*.f64 (sin.f64 y) z) -1)
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 z)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 y) (neg.f64 z)) 8)) (.f64 2 (.f64 (.f64 (sin.f64 y) (neg.f64 z)) 8))) 32)
(neg.f64 (*.f64 (sin.f64 y) z))

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/6 (*.f64 z (pow.f64 y 3))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
(.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 (.f64 1/6 (.f64 z (pow.f64 y 3))) (.f64 -1/120 (*.f64 z (pow.f64 y 5)))))
(+.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) (+.f64 (.f64 y (neg.f64 z)) (.f64 (pow.f64 y 5) (*.f64 z -1/120))))
(+.f64 (+.f64 (.f64 y (neg.f64 z)) (.f64 z (.f64 1/6 (pow.f64 y 3)))) (.f64 (pow.f64 y 5) (*.f64 z -1/120)))
(+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) (.f64 (pow.f64 y 5) (.f64 z -1/120)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 y 3))) (.f64 -1/120 (.f64 z (pow.f64 y 5)))) (.f64 1/5040 (*.f64 z (pow.f64 y 7)))))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 (+.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 5) (.f64 z -1/120))) (.f64 (pow.f64 y 7) (*.f64 z 1/5040))))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) (+.f64 (.f64 (pow.f64 y 5) (.f64 z -1/120)) (.f64 (pow.f64 y 7) (*.f64 z 1/5040)))))
(+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7)))))
(+.f64 (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y))) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 1/5040 (pow.f64 y 7)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 0)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(+.f64 0 (*.f64 (sin.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(+.f64 -1 (-.f64 1 (*.f64 (sin.f64 y) z)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(+.f64 (.f64 (sin.f64 y) (/.f64 z -2)) (.f64 (sin.f64 y) (/.f64 z -2)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 0)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(/.f64 (.f64 (sin.f64 y) (.f64 z -2)) 2)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(/.f64 (.f64 (sin.f64 y) (.f64 z -4)) 4)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) z) -1)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 z)) 8) 8)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 8)) 16)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sin.f64 y) (neg.f64 z)) 8)) (.f64 2 (.f64 (.f64 (sin.f64 y) (neg.f64 z)) 8))) 32)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))
(neg.f64 (*.f64 (sin.f64 y) z))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (sin.f64 (neg.f64 y)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.0b	(+.f64 (cos.f64 y) (+.f64 x 2))
✓	0.2b	(+.f64 -1 (-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1))
✓	0.3b	(-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)

Compiler

Compiled 37 to 24 computations (35.1% saved)

series1.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`bool.json-1`
1300×	`bool.json-2`
1260×	`rational.json-1`
1260×	`rational.json-2`
1260×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	139	63
2	384	57
3	837	45
4	2191	45
5	4985	45

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)
(+.f64 -1 (-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1))
(+.f64 (cos.f64 y) (+.f64 x 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (-.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (cos.f64 y) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 2) (+.f64 (cos.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 y) (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 2) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) -1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (+.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x -1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2) (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 2 (+.f64 (cos.f64 y) x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 2 (+.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 2 (+.f64 (cos.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 y) (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 y) (-.f64 x -1)) (+.f64 (cos.f64 y) (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 y) (-.f64 x -1)) (+.f64 (cos.f64 y) (-.f64 x -1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 y) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 y) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (cos.f64 y) x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 y) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (cos.f64 y) x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 y) x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 y) x)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 y) x)))) (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (cos.f64 y) x))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 y) x) (+.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 y) x) (+.f64 (cos.f64 y) x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (cos.f64 y) (+.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (cos.f64 y) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (cos.f64 y) (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 y) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 y) (+.f64 x 2)) (+.f64 (cos.f64 y) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 y) (+.f64 x 2)) (+.f64 (cos.f64 y) (+.f64 x 2)))))))

simplify617.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2536×	`rational.json-simplify-51`
1792×	`rational.json-simplify-1`
1790×	`rational.json-simplify-35`
1666×	`rational.json-simplify-49`
1032×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	2265
1	284	2265
2	729	2265
3	1878	2265
4	3014	2265
5	3639	2265
6	3832	2265
7	3991	2265
8	4165	2265
9	4334	2265
10	4794	2265
11	5034	2265
12	5330	2265
13	5648	2265
14	5997	2265
15	6222	2265
16	6291	2265
17	6307	2265
18	6307	2265
19	7239	2265

Stop Event

1×	node limit

Counts

141 → 128

Calls

Call 1

Inputs
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (cos.f64 y))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
x
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
x
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 3 x)
(+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 3 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 3 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (cos.f64 y))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
x
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
x
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x -1))
(+.f64 x (+.f64 (cos.f64 y) 1))
(+.f64 2 (+.f64 (cos.f64 y) (+.f64 x -1)))
(+.f64 (+.f64 x 2) (+.f64 (cos.f64 y) -1))
(+.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) -1)
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 0)
(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 2)))
(+.f64 0 (+.f64 (cos.f64 y) (-.f64 x -1)))
(+.f64 (+.f64 (cos.f64 y) 2) (+.f64 x -1))
(+.f64 (+.f64 (cos.f64 y) -1) (+.f64 x 2))
(+.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 (+.f64 x -1) (+.f64 (cos.f64 y) 2))
(+.f64 (-.f64 x -1) (cos.f64 y))
(+.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) 2)
(+.f64 (+.f64 (cos.f64 y) 1) x)
(+.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2) (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2))
(*.f64 1 (+.f64 (cos.f64 y) (-.f64 x -1)))
(*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1)
(.f64 (+.f64 2 (.f64 2 (+.f64 (cos.f64 y) x))) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4) 1/4)
(.f64 1/2 (+.f64 2 (.f64 2 (+.f64 (cos.f64 y) x))))
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4) 4)
(/.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1)
(/.f64 (+.f64 2 (*.f64 2 (+.f64 (cos.f64 y) x))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4)))) 32)
(-.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1)
(-.f64 (+.f64 (cos.f64 y) x) 0)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) -1)
(.f64 2 (.f64 (+.f64 (cos.f64 y) x) 1/2))
(*.f64 1 (+.f64 (cos.f64 y) x))
(.f64 (.f64 2 (+.f64 (cos.f64 y) x)) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) x) 4))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(.f64 (.f64 4 (+.f64 (cos.f64 y) x)) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (cos.f64 y) x)))
(.f64 1/4 (.f64 4 (+.f64 (cos.f64 y) x)))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 1/2) 2)
(*.f64 (/.f64 (+.f64 (cos.f64 y) x) 4) 4)
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) x)) 2)
(/.f64 (+.f64 (cos.f64 y) x) 1)
(/.f64 (*.f64 4 (+.f64 (cos.f64 y) x)) 4)
(/.f64 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) x))) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (cos.f64 y) x)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) x)))) (.f64 2 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) x))))) 32)
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 0)
(.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1/2))
(*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)
(*.f64 1 (+.f64 (cos.f64 y) (+.f64 x 2)))
(.f64 (.f64 2 (+.f64 (cos.f64 y) (+.f64 x 2))) 1/2)
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (cos.f64 y) (+.f64 x 2))))
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))
(*.f64 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4) 4)
(/.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) (+.f64 x 2))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4)))) 32)

Outputs
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 2 x))
(+.f64 2 (+.f64 x (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 2 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 2 x)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 2 (+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (.f64 -1/2 (pow.f64 y 2)))) (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (+.f64 (*.f64 -1/720 (pow.f64 y 6)) 2))
(+.f64 2 (+.f64 x (+.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) (+.f64 2 x))))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (cos.f64 y))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
x
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
x
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 x 1))
(+.f64 x (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (.f64 -1/2 (pow.f64 y 2)))) 1)
(+.f64 (+.f64 x (.f64 -1/2 (pow.f64 y 2))) (-.f64 (.f64 1/24 (pow.f64 y 4)) -1))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x 1)))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) 1)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (*.f64 -1/2 (pow.f64 y 2)))) 1))
(+.f64 (+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (+.f64 1 (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) (+.f64 x 1))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/720 (pow.f64 y 6))) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 x 1)))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x 1)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 1 (+.f64 (+.f64 x (.f64 1/24 (pow.f64 y 4))) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
x
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
x
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 3 x)
(+.f64 x 3)
(+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 x 3))
(+.f64 x (+.f64 3 (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 y 2)) 3))
(+.f64 3 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (.f64 -1/2 (pow.f64 y 2)))) 3)
(+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (+.f64 3 (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) 3)))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 3 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (+.f64 (.f64 1/24 (pow.f64 y 4)) (+.f64 x (*.f64 -1/2 (pow.f64 y 2)))) 3))
(+.f64 (+.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/2 (pow.f64 y 2)))) (+.f64 3 (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) (+.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 x (+.f64 (*.f64 1/24 (pow.f64 y 4)) 3))))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (cos.f64 y))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
x
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
x
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x -1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 x (+.f64 (cos.f64 y) 1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 2 (+.f64 (cos.f64 y) (+.f64 x -1)))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 x 2) (+.f64 (cos.f64 y) -1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) -1)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 0)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 2)))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 0 (+.f64 (cos.f64 y) (-.f64 x -1)))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 y) 2) (+.f64 x -1))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 y) -1) (+.f64 x 2))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 x -1) (+.f64 (cos.f64 y) 2))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (-.f64 x -1) (cos.f64 y))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) 2)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 (cos.f64 y) 1) x)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(+.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2) (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 1 (+.f64 (cos.f64 y) (-.f64 x -1)))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(.f64 (+.f64 2 (.f64 2 (+.f64 (cos.f64 y) x))) 1/2)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4) 1/4)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(.f64 1/2 (+.f64 2 (.f64 2 (+.f64 (cos.f64 y) x))))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(.f64 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1/2) 2)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4) 4)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(/.f64 (+.f64 2 (*.f64 2 (+.f64 (cos.f64 y) x))) 2)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4) 4)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4)) 8)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))) 16)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 4)))) 32)
(+.f64 x (+.f64 1 (cos.f64 y)))
(+.f64 1 (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (-.f64 x -1)) 1)
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) x) 0)
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x -1)) -1)
(+.f64 x (cos.f64 y))
(.f64 2 (.f64 (+.f64 (cos.f64 y) x) 1/2))
(+.f64 x (cos.f64 y))
(*.f64 1 (+.f64 (cos.f64 y) x))
(+.f64 x (cos.f64 y))
(.f64 (.f64 2 (+.f64 (cos.f64 y) x)) 1/2)
(+.f64 x (cos.f64 y))
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) x) 4))
(+.f64 x (cos.f64 y))
(*.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(.f64 (.f64 4 (+.f64 (cos.f64 y) x)) 1/4)
(+.f64 x (cos.f64 y))
(.f64 1/2 (.f64 2 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(.f64 1/4 (.f64 4 (+.f64 (cos.f64 y) x)))
(+.f64 x (cos.f64 y))
(.f64 (.f64 (+.f64 (cos.f64 y) x) 1/2) 2)
(+.f64 x (cos.f64 y))
(*.f64 (/.f64 (+.f64 (cos.f64 y) x) 4) 4)
(+.f64 x (cos.f64 y))
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) x)) 2)
(+.f64 x (cos.f64 y))
(/.f64 (+.f64 (cos.f64 y) x) 1)
(+.f64 x (cos.f64 y))
(/.f64 (*.f64 4 (+.f64 (cos.f64 y) x)) 4)
(+.f64 x (cos.f64 y))
(/.f64 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) x))) 8)
(+.f64 x (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (cos.f64 y) x)))) 16)
(+.f64 x (cos.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) x)))) (.f64 2 (.f64 2 (.f64 4 (+.f64 (cos.f64 y) x))))) 32)
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 0)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1/2))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(*.f64 1 (+.f64 (cos.f64 y) (+.f64 x 2)))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(.f64 (.f64 2 (+.f64 (cos.f64 y) (+.f64 x 2))) 1/2)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(*.f64 4 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4) 1/4)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(.f64 1/2 (.f64 2 (+.f64 (cos.f64 y) (+.f64 x 2))))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(.f64 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1/2) 2)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(.f64 1/4 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(*.f64 (/.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4) 4)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(/.f64 (*.f64 2 (+.f64 (cos.f64 y) (+.f64 x 2))) 2)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4) 4)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4)) 8)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))) 16)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 4)))) 32)
(+.f64 (cos.f64 y) (+.f64 2 x))
(+.f64 2 (+.f64 x (cos.f64 y)))

eval1.1s (7%)

Compiler: Compiled 6642 to 4587 computations (30.9% saved)

prune433.0ms (2.8%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	473	4	477
Fresh	1	5	6
Picked	1	0	1
Done	1	10	11
Total	476	19	495

Error

0.1b

Counts

495 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
	12.1b	(-.f64 (+.f64 x 1) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
✓	8.0b	(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
	26.8b	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	19.0b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	35.8b	(-.f64 x (*.f64 z y))
✓	25.3b	(-.f64 x -1)
✓	47.6b	(-.f64 1 (*.f64 y z))
	17.7b	(+.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) x)
✓	17.7b	(+.f64 (cos.f64 y) x)
	44.3b	(+.f64 -1 (-.f64 (+.f64 2 (cos.f64 y)) 1))
	25.4b	(+.f64 -1 (-.f64 (+.f64 1 (+.f64 x 2)) 1))
✓	17.7b	(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 1)))
✓	35.7b	(+.f64 -1 x)
	49.1b	(*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))) (neg.f64 z))
✓	45.3b	(*.f64 (sin.f64 y) (neg.f64 z))
	58.1b	(*.f64 z (neg.f64 y))
	44.1b	(cos.f64 y)
	36.2b	x

Compiler

Compiled 174 to 135 computations (22.4% saved)

regimes60.0ms (0.4%)

Counts

27 → 1

Calls

Call 1

Inputs
x
(+.f64 -1 x)
(-.f64 x -1)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 -1 (-.f64 (+.f64 1 (+.f64 x 2)) 1))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 1)))
(+.f64 -1 (-.f64 (+.f64 2 (cos.f64 y)) 1))
(+.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) x)
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))
(*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))) (neg.f64 z))
(+.f64 -1 (-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1))
(-.f64 x (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))
(-.f64 (+.f64 x 1) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
(-.f64 (+.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (*.f64 z y))
(-.f64 (+.f64 x 1) (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 -1 (+.f64 (+.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))) (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Calls

4 calls:

14.0ms	x
14.0ms	z
13.0ms	y
12.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 232 to 124 computations (46.6% saved)

regimes859.0ms (5.5%)

Counts

24 → 3

Calls

Call 1

Inputs
x
(+.f64 -1 x)
(-.f64 x -1)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 -1 (-.f64 (+.f64 1 (+.f64 x 2)) 1))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 1)))
(+.f64 -1 (-.f64 (+.f64 2 (cos.f64 y)) 1))
(+.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) x)
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z y))
(*.f64 (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y)))) (neg.f64 z))
(+.f64 -1 (-.f64 (+.f64 (cos.f64 y) (+.f64 x 2)) 1))
(-.f64 x (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))
(-.f64 (+.f64 x 1) (*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1)))
(-.f64 (+.f64 x (-.f64 (+.f64 1 (cos.f64 y)) 1)) (*.f64 z y))
(-.f64 (+.f64 x 1) (*.f64 z (+.f64 -1 (-.f64 1 (sin.f64 (neg.f64 y))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

Outputs
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))

Calls

3 calls:

787.0ms	y
34.0ms	x
33.0ms	z

Results

Error	Segments	Branch
0.5b	3	`x`
6.7b	3	`y`
0.4b	3	`z`

Compiler

Compiled 184 to 104 computations (43.5% saved)

bsearch561.0ms (3.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
480.0ms	2.1872686632363805e-8	6.162303252407949e-8
81.0ms	-3.577370718482088e+33	-1.9169520782054402e+30

Results

491.0ms	117×	body	256	valid
63.0ms	26×	body	1024	valid
5.0ms	17×	body	512	valid

Compiler

Compiled 218 to 163 computations (25.2% saved)

regimes288.0ms (1.8%)

Counts

15 → 3

Calls

Call 1

Inputs
x
(+.f64 -1 x)
(-.f64 x -1)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 -1 (-.f64 (+.f64 1 (+.f64 x 2)) 1))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 -1 (+.f64 (cos.f64 y) (+.f64 x 1)))
(+.f64 -1 (-.f64 (+.f64 2 (cos.f64 y)) 1))
(+.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) x)

Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))

Calls

3 calls:

200.0ms	y
53.0ms	x
30.0ms	z

Results

Error	Segments	Branch
9.1b	5	`x`
7.2b	4	`y`
2.5b	3	`z`

Compiler

Compiled 93 to 57 computations (38.7% saved)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	7338313.172730743	149870060554.7033
31.0ms	-3.577370718482088e+33	-1.9169520782054402e+30

Results

32.0ms	191×	body	256	valid
22.0ms	45×	body	1024	valid
6.0ms	20×	body	512	valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

regimes110.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

Inputs
x
(+.f64 -1 x)
(-.f64 x -1)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 -1 (-.f64 (+.f64 1 (+.f64 x 2)) 1))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))

Outputs
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))

Calls

3 calls:

46.0ms	x
33.0ms	y
29.0ms	z

Results

Error	Segments	Branch
12.5b	7	`x`
11.3b	5	`y`
9.5b	3	`z`

Compiler

Compiled 63 to 39 computations (38.1% saved)

bsearch83.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	3.419643350310442e+61	4.143322969997955e+64
47.0ms	-1.8455524438385234e+137	-1.1702815112371461e+117

Results

39.0ms	219×	body	256	valid
30.0ms	55×	body	1024	valid
9.0ms	30×	body	512	valid

Compiler

Compiled 341 to 260 computations (23.8% saved)

regimes48.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(+.f64 -1 x)
(-.f64 x -1)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 -1 (-.f64 (+.f64 1 (+.f64 x 2)) 1))
(cos.f64 y)
(+.f64 (cos.f64 y) x)

Outputs
(+.f64 (cos.f64 y) x)
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 (cos.f64 y) x)

Calls

3 calls:

20.0ms	y
20.0ms	z
6.0ms	x

Results

Error	Segments	Branch
17.7b	1	`x`
13.3b	3	`y`
14.3b	3	`z`

Compiler

Compiled 58 to 36 computations (37.9% saved)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	2.2672321248419857e-8	0.00017573250958829027
29.0ms	-4423724562333958.5	-5280360.007553062

Results

52.0ms

272×

body

256

valid

Compiler

Compiled 341 to 251 computations (26.4% saved)

regimes66.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(+.f64 -1 x)
(-.f64 x -1)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 -1 (-.f64 (+.f64 1 (+.f64 x 2)) 1))
(cos.f64 y)

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

Calls

3 calls:

29.0ms	z
18.0ms	x
17.0ms	y

Results

Error	Segments	Branch
18.1b	3	`x`
20.7b	3	`y`
20.8b	5	`z`

Compiler

Compiled 54 to 35 computations (35.2% saved)

bsearch91.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	9.452905440180123e-16	7.408727490092422e-10
48.0ms	-458943229088.4748	-0.002607335514921187

Results

45.0ms	85×	body	1024	valid
29.0ms	176×	body	256	valid
12.0ms	43×	body	512	valid

Compiler

Compiled 265 to 222 computations (16.2% saved)

regimes48.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

Inputs
x
(+.f64 -1 x)
(-.f64 x -1)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 z y))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 -1 (-.f64 (+.f64 1 (+.f64 x 2)) 1))

Outputs
(-.f64 x -1)
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 -1 x)

Calls

3 calls:

15.0ms	x
15.0ms	y
15.0ms	z

Results

Error	Segments	Branch
21.9b	3	`x`
20.7b	3	`y`
22.0b	3	`z`

Compiler

Compiled 52 to 34 computations (34.6% saved)

bsearch53.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	3.572326818729012e+22	1.0666845780516216e+34
24.0ms	-7.145253587169301e+30	-1.6207689024080748e+27

Results

49.0ms

288×

body

256

valid

Compiler

Compiled 342 to 265 computations (22.5% saved)

regimes37.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
x
(+.f64 -1 x)
(-.f64 x -1)
(*.f64 z (neg.f64 y))
(-.f64 1 (*.f64 y z))
(-.f64 x (*.f64 z y))

Outputs
(-.f64 x -1)
(-.f64 1 (*.f64 y z))
(-.f64 x -1)

Calls

3 calls:

17.0ms	z
13.0ms	x
5.0ms	y

Results

Error	Segments	Branch
22.0b	3	`x`
25.3b	1	`y`
22.6b	3	`z`

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch84.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	5.679999718801412e-168	2.1970533941329772e-144
35.0ms	-2.5603412135012383e-26	-4.322801147823336e-30

Results

38.0ms	83×	body	1024	valid
26.0ms	165×	body	256	valid
16.0ms	56×	body	512	valid

Compiler

Compiled 322 to 260 computations (19.3% saved)

regimes20.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(+.f64 -1 x)
(-.f64 x -1)
(*.f64 z (neg.f64 y))

Outputs
(-.f64 x -1)
(*.f64 z (neg.f64 y))
(-.f64 x -1)

Calls

3 calls:

11.0ms	x
4.0ms	y
4.0ms	z

Results

Error	Segments	Branch
24.1b	3	`x`
25.3b	1	`y`
25.3b	1	`z`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	-2.6498896846216874e-135	-2.2573638575326593e-138
33.0ms	-2.5603412135012383e-26	-4.322801147823336e-30

Results

31.0ms	68×	body	1024	valid
23.0ms	148×	body	256	valid
12.0ms	40×	body	512	valid

Compiler

Compiled 258 to 205 computations (20.5% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 x -1)

Calls

3 calls:

4.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
25.3b	1	`x`
25.3b	1	`y`
25.3b	1	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.9b remaining (-2.5%)

Threshold costs -0.9b (-2.5%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(+.f64 -1 x)

Outputs
(+.f64 -1 x)

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
35.7b	1	`x`
35.7b	1	`y`
35.7b	1	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	474

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z -1950000000000000052848767270912) (-.f64 (+.f64 x 1) (.f64 z (sin.f64 y))) (if (<=.f64 z 944473296573929/18889465931478580854784) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x 1) (.f64 z (sin.f64 y)))))
(if (<=.f64 z -1400000000000000039097473842544640) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 55000000000) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z -85000000000000003317323032006788532090519149869560907038521020311230613419307027823400893412609875032321551318791487488) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 17000000000000000800897614359995622290226833626440309991943438336) (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -5500000) (+.f64 (cos.f64 y) x) (if (<=.f64 y 1152921504606847/9223372036854775808) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -6110483974416289/2305843009213693952) (-.f64 x -1) (if (<=.f64 x 6034957691516229/309485009821345068724781056) (cos.f64 y) (-.f64 x -1)))
(if (<=.f64 y -3399999999999999990202105856) (-.f64 x -1) (if (<=.f64 y 1020000000000000041943040) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 -1 x)))
(if (<=.f64 x -8084020134467351/2787593149816327892691964784081045188247552) (-.f64 x -1) (if (<=.f64 x 2712535492840483/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (-.f64 1 (*.f64 y z)) (-.f64 x -1)))
(if (<=.f64 x -6279889847906223/1427247692705959881058285969449495136382746624) (-.f64 x -1) (if (<=.f64 x -8510815580529969/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (*.f64 z (neg.f64 y)) (-.f64 x -1)))
(-.f64 x -1)
(+.f64 -1 x)
x

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z -1950000000000000052848767270912) (-.f64 (+.f64 x 1) (.f64 z (sin.f64 y))) (if (<=.f64 z 944473296573929/18889465931478580854784) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x 1) (.f64 z (sin.f64 y)))))
(if (<=.f64 z -1400000000000000039097473842544640) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 55000000000) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z -85000000000000003317323032006788532090519149869560907038521020311230613419307027823400893412609875032321551318791487488) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 17000000000000000800897614359995622290226833626440309991943438336) (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -5500000) (+.f64 (cos.f64 y) x) (if (<=.f64 y 1152921504606847/9223372036854775808) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -6110483974416289/2305843009213693952) (-.f64 x -1) (if (<=.f64 x 6034957691516229/309485009821345068724781056) (cos.f64 y) (-.f64 x -1)))
(if (<=.f64 y -3399999999999999990202105856) (-.f64 x -1) (if (<=.f64 y 1020000000000000041943040) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 -1 x)))
(if (<=.f64 x -8084020134467351/2787593149816327892691964784081045188247552) (-.f64 x -1) (if (<=.f64 x 2712535492840483/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (-.f64 1 (*.f64 y z)) (-.f64 x -1)))
(if (<=.f64 x -6279889847906223/1427247692705959881058285969449495136382746624) (-.f64 x -1) (if (<=.f64 x -8510815580529969/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (*.f64 z (neg.f64 y)) (-.f64 x -1)))
(-.f64 x -1)
(+.f64 -1 x)
x

Compiler

Compiled 223 to 145 computations (35% saved)

soundness0.0ms (0%)

end83.0ms (0.5%)

Compiler: Compiled 190 to 97 computations (48.9% saved)