Details

analyze384.0ms (2.3%)

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)

sample5.8s (35%)

Results

3.0s	2041×	body	1024	valid
1.8s	5133×	body	256	valid
980.0ms	1077×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess162.0ms (1%)

Algorithm

2×	egg-herbie

Rules

2522×	`rational.json-simplify-42`
1858×	`rational.json-simplify-45`
1718×	`rational.json-simplify-35`
1012×	`rational.json-simplify-2`
846×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	46	108
2	69	108
3	105	108
4	185	108
5	335	108
6	804	108
7	2051	108
8	4417	108
9	5365	108
10	5768	108
11	6239	108
12	6542	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 (.f64 y (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 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify183.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2186×	`rational.json-simplify-35`
1772×	`rational.json-simplify-1`
1260×	`rational.json-simplify-26`
926×	`rational.json-simplify-2`
678×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	19	27
2	28	27
3	42	27
4	74	27
5	134	27
6	292	27
7	719	27
8	2044	27
9	3312	27
10	4058	27
11	4541	27
12	5311	27
13	5729	27
14	6337	27
15	6912	27

Stop Event

1×	node limit

Counts

1 → 1

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)))

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 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)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series101.0ms (0.6%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
96.0ms	z	@	0	(*.f64 z (sin.f64 y))
1.0ms	x	@	-inf	(*.f64 x (cos.f64 y))
1.0ms	x	@	0	(*.f64 x (cos.f64 y))
1.0ms	y	@	0	(*.f64 z (sin.f64 y))
0.0ms	z	@	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`rational.json-1`
1590×	`rational.json-2`
1590×	`rational.json-3`
1582×	`rational.json-4`
1242×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	76	49
2	177	49
3	392	49
4	801	49
5	1933	49
6	4455	49
7	6944	49

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(*.f64 x (cos.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 (sin.f64 y) (.f64 z 1/2)) (.f64 (sin.f64 y) (.f64 z 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 z (.f64 (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 (.f64 z (sin.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 z (sin.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (sin.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (sin.f64 y)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 z (sin.f64 y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sin.f64 y)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 (cos.f64 y) 1/2)) (.f64 x (.f64 (cos.f64 y) 1/2)))))) (#(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 (.f64 (cos.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (cos.f64 y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x 8) (cos.f64 y)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x 8) (cos.f64 y))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 8) (cos.f64 y)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 8) (cos.f64 y)))) (.f64 2 (.f64 2 (.f64 (.f64 x 8) (cos.f64 y))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))))
((#(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 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 x (cos.f64 y)) (-.f64 1 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))))) (#(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 (.f64 x (cos.f64 y)) (-.f64 1 (.f64 z (sin.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/2) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 x (cos.f64 y)) (.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 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.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 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (/.f64 (.f64 x (cos.f64 y)) 4) (/.f64 (.f64 z (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (-.f64 (.f64 x (.f64 (cos.f64 y) 4)) (.f64 z (.f64 (sin.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.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 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8) 8)))) (#(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 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4) -4)))) (#(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 2 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4)) (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.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 (sin.f64 y) (*.f64 z 1/2)) (*.f64 (sin.f64 y) (*.f64 z 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 z (*.f64 (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 (*.f64 z (sin.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (sin.f64 y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (cos.f64 y) 1/2)) (*.f64 x (*.f64 (cos.f64 y) 1/2)))))) (#(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 (*.f64 (cos.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (cos.f64 y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 8) (cos.f64 y)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x 8) (cos.f64 y))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x 8) (cos.f64 y)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x 8) (cos.f64 y)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 x 8) (cos.f64 y))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))))

((#(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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 x (cos.f64 y)) (-.f64 1 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(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 (*.f64 x (cos.f64 y)) (-.f64 1 (*.f64 z (sin.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/2) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) 4) (/.f64 (*.f64 z (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 x (*.f64 (cos.f64 y) 4)) (*.f64 z (*.f64 (sin.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 8) 8)))) (#(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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 4) -4)))) (#(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 2 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 4)) (neg.f64 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))))

simplify507.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2004×	`rational.json-simplify-35`
1398×	`rational.json-simplify-2`
1156×	`rational.json-simplify-1`
696×	`rational.json-simplify-43`
678×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	3058
1	435	2788
2	1023	2770
3	2752	2770
4	4607	2770
5	5907	2770
6	6813	2770
7	7604	2770

Stop Event

1×	node limit

Counts

128 → 116

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)))))
(*.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)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) 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)
(.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 (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 (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))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.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 (sin.f64 y) (.f64 z 1/2)) (.f64 (sin.f64 y) (.f64 z 1/2)))
(-.f64 (*.f64 z (sin.f64 y)) 0)
(/.f64 (*.f64 z (sin.f64 y)) 1)
(/.f64 (.f64 z (.f64 (sin.f64 y) 2)) 2)
(/.f64 (.f64 z (.f64 (sin.f64 y) 4)) 4)
(/.f64 (.f64 (.f64 z (sin.f64 y)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 z (sin.f64 y)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (sin.f64 y)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (sin.f64 y)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 z (sin.f64 y)) 8)))) 64)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(+.f64 (*.f64 x (cos.f64 y)) 0)
(+.f64 0 (*.f64 x (cos.f64 y)))
(+.f64 (.f64 x (.f64 (cos.f64 y) 1/2)) (.f64 x (.f64 (cos.f64 y) 1/2)))
(-.f64 (*.f64 x (cos.f64 y)) 0)
(/.f64 (*.f64 x (cos.f64 y)) 1)
(/.f64 (*.f64 (cos.f64 y) (+.f64 x x)) 2)
(/.f64 (.f64 x (.f64 (cos.f64 y) 4)) 4)
(/.f64 (.f64 (.f64 x 8) (cos.f64 y)) 8)
(/.f64 (.f64 2 (.f64 (*.f64 x 8) (cos.f64 y))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 8) (cos.f64 y)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 8) (cos.f64 y)))) (.f64 2 (.f64 2 (.f64 (.f64 x 8) (cos.f64 y))))) 64)
(pow.f64 (*.f64 x (cos.f64 y)) 1)
(+.f64 (.f64 x (cos.f64 y)) (neg.f64 (.f64 z (sin.f64 y))))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 0)
(+.f64 0 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(+.f64 -1 (+.f64 (.f64 x (cos.f64 y)) (-.f64 1 (.f64 z (sin.f64 y)))))
(+.f64 -2 (-.f64 1 (-.f64 -1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(+.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(+.f64 (+.f64 (.f64 x (cos.f64 y)) (-.f64 1 (.f64 z (sin.f64 y)))) -1)
(+.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/2) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/2))
(.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 1)
(.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(.f64 -1 (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/2))
(.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.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 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4))
(.f64 4 (-.f64 (/.f64 (.f64 x (cos.f64 y)) 4) (/.f64 (*.f64 z (sin.f64 y)) 4)))
(.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 2))
(.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 4))
(.f64 1/4 (-.f64 (.f64 x (.f64 (cos.f64 y) 4)) (.f64 z (*.f64 (sin.f64 y) 4))))
(.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4) 4)
(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) 2)
(/.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) -1)
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4) 4)
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 8) 8)
(/.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8)) 16)
(/.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 4) -4)
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) 2)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) 4)
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4)) (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4))) 8)
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)
(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 (pow.f64 y 3) -1/6)))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 2) 2)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) -1)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 4) 4)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 8) 8)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) -2)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8)) 16)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 4) -4)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) 2)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4)) -8)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) 8))) 32)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) 4)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))) 4)) 4)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 8)))) 64)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))) (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))))) 8)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4)) (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) 4))) 8)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(neg.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(+.f64 (.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y))))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))

eval28.0ms (0.2%)

Compiler: Compiled 1867 to 854 computations (54.3% saved)

prune24.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Error

0.1b

Counts

117 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.3b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y z) (.f64 z (.f64 (pow.f64 y 3) -1/6))))
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	22.4b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
▶	14.4b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	30.4b	(+.f64 x (*.f64 y (neg.f64 z)))
▶	37.4b	(*.f64 z (neg.f64 (sin.f64 y)))

Compiler

Compiled 124 to 84 computations (32.3% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 28

Calls

9 calls:

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

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`exponential.json-3`
1318×	`rational.json-1`
1318×	`rational.json-2`
1318×	`rational.json-4`
1318×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	61	17
2	143	17
3	305	17
4	601	17
5	1405	17
6	3179	17
7	5908	17

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 z (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 z (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (+.f64 1 x) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 x) (.f64 z (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 1/2) (.f64 (-.f64 x (.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (-.f64 (.f64 z (sin.f64 y)) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 x (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 z (sin.f64 y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 x (.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (-.f64 (/.f64 x 4) (/.f64 (.f64 z (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 z (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (-.f64 (.f64 x 4) (.f64 z (.f64 (sin.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 x (.f64 z (sin.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 z (sin.f64 y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4)) (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 z (sin.f64 y)) x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 z (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (+.f64 1 x) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 x) (*.f64 z (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2) (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (-.f64 (*.f64 z (sin.f64 y)) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z (sin.f64 y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 x 4) (/.f64 (*.f64 z (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 z (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 (sin.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (*.f64 z (sin.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z (sin.f64 y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 z (sin.f64 y)) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) x) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) x) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 z (sin.f64 y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) x) 4)) (neg.f64 (*.f64 (-.f64 (*.f64 z (sin.f64 y)) x) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 z (sin.f64 y)) x))))))

simplify251.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1880×	`rational.json-simplify-35`
1120×	`rational.json-simplify-42`
1104×	`rational.json-simplify-2`
970×	`rational.json-simplify-26`
894×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1347
1	230	1341
2	518	1341
3	1217	1113
4	2396	1113
5	3205	1113
6	3890	1113
7	5410	1113
8	6218	1113
9	7068	1113
10	7460	1113
11	7758	1113
12	7899	1113

Stop Event

1×	node limit

Counts

65 → 64

Calls

Call 1

Inputs
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(.f64 -1 (.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) 0)
(+.f64 0 (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) x)
(+.f64 -1 (-.f64 (+.f64 1 x) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (+.f64 1 x) (*.f64 z (sin.f64 y))) -1)
(+.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 1/2) (.f64 (-.f64 x (.f64 z (sin.f64 y))) 1/2))
(+.f64 -2 (-.f64 1 (+.f64 (-.f64 (*.f64 z (sin.f64 y)) x) -1)))
(.f64 (-.f64 x (.f64 z (sin.f64 y))) 1)
(.f64 1 (-.f64 x (.f64 z (sin.f64 y))))
(.f64 2 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2))
(.f64 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2) 1/2)
(.f64 (-.f64 (.f64 z (sin.f64 y)) x) -1)
(.f64 4 (/.f64 (-.f64 x (.f64 z (sin.f64 y))) 4))
(.f64 4 (-.f64 (/.f64 x 4) (/.f64 (.f64 z (sin.f64 y)) 4)))
(.f64 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(.f64 -1 (-.f64 (.f64 z (sin.f64 y)) x))
(.f64 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 4))
(.f64 1/4 (-.f64 (.f64 x 4) (.f64 z (.f64 (sin.f64 y) 4))))
(.f64 (/.f64 (-.f64 x (.f64 z (sin.f64 y))) 4) 4)
(/.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(/.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) 2)
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) x) -1)
(/.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 4) 4)
(/.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8) 8)
(/.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) x)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 8)) 16)
(/.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8))) 32)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 z (sin.f64 y)) x) 4)) -8)
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4)) (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4))) 8)
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(neg.f64 (-.f64 (*.f64 z (sin.f64 y)) x))

Outputs
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.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))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.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))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(neg.f64 (*.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))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (.f64 -1 (.f64 z y)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x))
(+.f64 (.f64 -1 (.f64 z y)) (+.f64 x (.f64 (pow.f64 y 3) (.f64 z 1/6))))
(+.f64 x (+.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (*.f64 y (neg.f64 z))))
(+.f64 (.f64 z (neg.f64 y)) (+.f64 x (.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(+.f64 x (.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y))))
(+.f64 x (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/120 (.f64 (pow.f64 y 5) z)) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) z)) x)))
(+.f64 (.f64 -1 (.f64 z y)) (+.f64 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (+.f64 x (.f64 (pow.f64 y 5) (.f64 z -1/120)))))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 x (+.f64 (.f64 (pow.f64 y 5) (.f64 z -1/120)) (.f64 (pow.f64 y 3) (*.f64 z 1/6)))))
(+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 1/6 (.f64 z (pow.f64 y 3))) (+.f64 x (.f64 -1/120 (*.f64 z (pow.f64 y 5))))))
(+.f64 (+.f64 x (.f64 z (neg.f64 y))) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))))
(+.f64 x (+.f64 (.f64 z (.f64 -1/120 (pow.f64 y 5))) (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 x (*.f64 z (sin.f64 y))) 0)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 0 (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) x)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 -1 (-.f64 (+.f64 1 x) (*.f64 z (sin.f64 y))))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (-.f64 (+.f64 1 x) (*.f64 z (sin.f64 y))) -1)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 1/2) (.f64 (-.f64 x (.f64 z (sin.f64 y))) 1/2))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 -2 (-.f64 1 (+.f64 (-.f64 (*.f64 z (sin.f64 y)) x) -1)))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 (-.f64 x (.f64 z (sin.f64 y))) 1)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 1 (-.f64 x (.f64 z (sin.f64 y))))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 2 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2) 1/2)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 (-.f64 (.f64 z (sin.f64 y)) x) -1)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 4 (/.f64 (-.f64 x (.f64 z (sin.f64 y))) 4))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 4 (-.f64 (/.f64 x 4) (/.f64 (.f64 z (sin.f64 y)) 4)))
(.f64 4 (-.f64 (/.f64 x 4) (.f64 (sin.f64 y) (/.f64 z 4))))
(.f64 4 (-.f64 (/.f64 x 4) (.f64 z (/.f64 (sin.f64 y) 4))))
(.f64 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 4) 1/4)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 1/2 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 -1 (-.f64 (.f64 z (sin.f64 y)) x))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2) 2)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 1/4 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 4))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 1/4 (-.f64 (.f64 x 4) (.f64 z (.f64 (sin.f64 y) 4))))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(.f64 (/.f64 (-.f64 x (.f64 z (sin.f64 y))) 4) 4)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 2) 2)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (-.f64 (*.f64 z (sin.f64 y)) x) -1)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 4) 4)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
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(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8) 8)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (.f64 2 (-.f64 (.f64 z (sin.f64 y)) x)) -2)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 z (sin.f64 y))) 8)) 16)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4) -4)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8))) 32)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 z (sin.f64 y)) x) 4)) -8)
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(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4)) 4)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 z (sin.f64 y))) 8)))) 64)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4)) (neg.f64 (.f64 (-.f64 (.f64 z (sin.f64 y)) x) 4))) 8)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))
(neg.f64 (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 x (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 x (*.f64 z (sin.f64 y)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite219.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`exponential.json-3`
1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`
1380×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	62	17
2	141	17
3	305	17
4	613	17
5	1476	17
6	2912	17
7	4598	17
8	6021	17
9	6841	17
10	7117	17
11	7418	17
12	7758	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 y (neg.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 y (*.f64 z -2)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (*.f64 z -2)) (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)))))

simplify335.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3308×	`rational.json-simplify-51`
1708×	`rational.json-simplify-35`
1598×	`rational.json-simplify-48`
1464×	`rational.json-simplify-49`
1292×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	892
1	133	892
2	334	892
3	971	892
4	1587	892
5	2526	892
6	3100	892
7	3250	892
8	3419	892
9	3793	892
10	4600	892
11	4843	892
12	4967	892
13	5038	892
14	5089	892
15	5140	892
16	5191	892
17	5242	892
18	5316	892
19	6292	892

Stop Event

1×	node limit

Counts

58 → 29

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 (+.f64 x (*.f64 y (neg.f64 z))) 0)
(.f64 (+.f64 x (.f64 y (neg.f64 z))) 1)
(.f64 1 (+.f64 x (.f64 y (neg.f64 z))))
(.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/2))
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 x (.f64 y (neg.f64 z))) 4))
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2))
(.f64 1/2 (+.f64 (.f64 y (*.f64 z -2)) (+.f64 x x)))
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4))
(.f64 (/.f64 (+.f64 x (.f64 y (neg.f64 z))) 4) 4)
(.f64 (+.f64 (.f64 y (*.f64 z -2)) (+.f64 x x)) 1/2)
(/.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 2) 2)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 4) 4)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8))))) 128)
(pow.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(-.f64 (+.f64 x (*.f64 y (neg.f64 z))) 0)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 (+.f64 x (.f64 y (neg.f64 z))) 1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 1 (+.f64 x (.f64 y (neg.f64 z))))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/2))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2) 1/2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 4 (/.f64 (+.f64 x (.f64 y (neg.f64 z))) 4))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4) 1/4)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 1/2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 1/2 (+.f64 (.f64 y (*.f64 z -2)) (+.f64 x x)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/2) 2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 1/4 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 (/.f64 (+.f64 x (.f64 y (neg.f64 z))) 4) 4)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(.f64 (+.f64 (.f64 y (*.f64 z -2)) (+.f64 x x)) 1/2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(/.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 2) 2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 4) 4)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8) 8)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)) 16)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8))) 32)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)))) 64)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8))))) 128)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)
(pow.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (neg.f64 (*.f64 y z)) x)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (neg.f64 (sin.f64 y)))

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`rational.json-1`
1664×	`rational.json-2`
1664×	`rational.json-3`
1162×	`rational.json-simplify-35`
1000×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	61	15
2	165	15
3	375	15
4	814	15
5	1985	15
6	4650	15
7	7248	15

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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 z (sin.f64 y))))))) (#(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 z (sin.f64 y)))))) (#(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 -4 z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8 (*.f64 z (sin.f64 y))) 8)))) (#(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 2 (*.f64 -8 (*.f64 z (sin.f64 y)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 z (sin.f64 y))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 z (sin.f64 y))))) (*.f64 2 (*.f64 2 (*.f64 -8 (*.f64 z (sin.f64 y)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (sin.f64 y)))))))

simplify233.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1940×	`rational.json-simplify-2`
1932×	`rational.json-simplify-1`
1926×	`rational.json-simplify-35`
778×	`rational.json-simplify-41`
590×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	743
1	169	743
2	354	743
3	795	719
4	2067	719
5	3601	719
6	4540	719
7	5097	719
8	6115	719
9	6695	719
10	6928	719
11	7359	719

Stop Event

1×	node limit

Counts

41 → 43

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.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 (pow.f64 y 3) (*.f64 z 1/6)))
(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))
(+.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 (pow.f64 y 3) (.f64 z 1/6)) (+.f64 (.f64 z (.f64 (pow.f64 y 5) -1/120)) (*.f64 y (neg.f64 z))))
(+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) (.f64 z (*.f64 -1/120 (pow.f64 y 5)))))
(+.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (neg.f64 y))))
(+.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) (.f64 z (+.f64 (neg.f64 y) (.f64 -1/120 (pow.f64 y 5)))))
(+.f64 (.f64 z (neg.f64 y)) (.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 (.f64 (pow.f64 y 3) (.f64 z 1/6)) (.f64 z (.f64 (pow.f64 y 5) -1/120))) (+.f64 (.f64 z (.f64 1/5040 (pow.f64 y 7))) (*.f64 y (neg.f64 z))))
(+.f64 (+.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) (.f64 z (.f64 -1/120 (pow.f64 y 5)))) (+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.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 (.f64 z (+.f64 (.f64 -1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (.f64 z (+.f64 (*.f64 1/5040 (pow.f64 y 7)) (neg.f64 y))))
(+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) (.f64 z (+.f64 (.f64 1/5040 (pow.f64 y 7)) (*.f64 -1/120 (pow.f64 y 5)))))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(.f64 -1 (.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 0)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 0 (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 -1 (-.f64 1 (*.f64 z (sin.f64 y))))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) (/.f64 z -2)) (.f64 (sin.f64 y) (/.f64 z -2)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 0)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 0 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(/.f64 (.f64 (sin.f64 y) (.f64 z -2)) 2)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(/.f64 (.f64 (sin.f64 y) (.f64 -4 z)) 4)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 z (sin.f64 y)) -1)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(/.f64 (.f64 -8 (.f64 z (sin.f64 y))) 8)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (+.f64 z z)) -2)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(/.f64 (.f64 2 (.f64 -8 (*.f64 z (sin.f64 y)))) 16)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 z (sin.f64 y))))) 32)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 -8 (.f64 z (sin.f64 y))))) (.f64 2 (.f64 2 (.f64 -8 (.f64 z (sin.f64 y)))))) 64)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`rational.json-simplify-35`
1286×	`rational.json-1`
1286×	`rational.json-2`
1286×	`rational.json-3`
1278×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	66	23
2	146	23
3	324	23
4	638	23
5	1506	23
6	3367	23
7	5944	23

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 x (cos.f64 y)) (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (cos.f64 y)) (-.f64 1 (*.f64 y z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 1/2) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (cos.f64 y) 1/2)) (-.f64 (*.f64 x (*.f64 (cos.f64 y) 1/2)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 y z)) (+.f64 (*.f64 x (cos.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (cos.f64 y)) 1) (+.f64 -1 (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (*.f64 x (cos.f64 y)) (*.f64 y z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (*.f64 x (cos.f64 y)) (*.f64 y z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) 4) (/.f64 (*.f64 y z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 4)) (*.f64 y (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.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 (*.f64 x (cos.f64 y)) (*.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 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) (*.f64 x (cos.f64 y))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) (*.f64 x (cos.f64 y))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) (*.f64 x (cos.f64 y))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) (*.f64 x (cos.f64 y))) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) (*.f64 x (cos.f64 y))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) (*.f64 x (cos.f64 y))) 4))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) (*.f64 x (cos.f64 y))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 y z) (*.f64 x (cos.f64 y))))))))

simplify366.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2568×	`rational.json-simplify-35`
1698×	`rational.json-simplify-2`
1310×	`rational.json-simplify-1`
650×	`rational.json-simplify-52`
632×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	2263
1	288	2113
2	667	2113
3	1649	1839
4	3011	1839
5	3975	1839
6	5044	1839
7	5731	1839
8	6583	1839
9	6987	1839
10	7196	1839
11	7196	1839
12	7436	1839
13	7666	1839
14	7672	1839
15	7879	1839

Stop Event

1×	node limit

Counts

81 → 70

Calls

Call 1

Inputs
(.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 (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))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) 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))
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(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (neg.f64 y)))
(+.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 0)
(+.f64 0 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)))
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(+.f64 -1 (+.f64 (.f64 x (cos.f64 y)) (-.f64 1 (.f64 y z))))
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(+.f64 (.f64 x (.f64 (cos.f64 y) 1/2)) (-.f64 (.f64 x (.f64 (cos.f64 y) 1/2)) (*.f64 y z)))
(+.f64 (-.f64 1 (.f64 y z)) (+.f64 (.f64 x (cos.f64 y)) -1))
(+.f64 (+.f64 (.f64 x (cos.f64 y)) 1) (+.f64 -1 (.f64 z (neg.f64 y))))
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(.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 1)
(.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)))
(.f64 -1 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))))
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(.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 2) 1/2)
(.f64 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))) -1)
(.f64 4 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 4))
(.f64 4 (-.f64 (/.f64 (.f64 x (cos.f64 y)) 4) (/.f64 (*.f64 y z) 4)))
(.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 2))
(.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 4))
(.f64 1/4 (-.f64 (.f64 (cos.f64 y) (.f64 x 4)) (.f64 y (*.f64 z 4))))
(.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 4) 4)
(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 1)
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 2) 2)
(/.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) -1)
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(/.f64 (.f64 2 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y)))) -2)
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 8) 8)
(/.f64 (.f64 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))) 4) -4)
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(/.f64 (.f64 2 (.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 8))) 32)
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))) 4)) 4)
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(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) 4))) (.f64 2 (neg.f64 (.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) 4)))) 16)
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 1)
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Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(*.f64 (cos.f64 y) x)
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(*.f64 (cos.f64 y) x)
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
x
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(.f64 -1 (.f64 y z))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(*.f64 (cos.f64 y) x)
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(.f64 -1 (.f64 y z))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(+.f64 (+.f64 (.f64 x (cos.f64 y)) 1) (+.f64 -1 (.f64 z (neg.f64 y))))
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(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 1)
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(.f64 1 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)))
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(.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 1/2))
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(.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 2) 1/2)
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(.f64 4 (-.f64 (/.f64 (.f64 x (cos.f64 y)) 4) (/.f64 (*.f64 y z) 4)))
(.f64 4 (-.f64 (.f64 (cos.f64 y) (/.f64 x 4)) (*.f64 z (/.f64 y 4))))
(.f64 4 (-.f64 (.f64 (cos.f64 y) (/.f64 x 4)) (*.f64 y (/.f64 z 4))))
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(.f64 1/4 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 4))
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(.f64 1/4 (-.f64 (.f64 (cos.f64 y) (.f64 x 4)) (.f64 y (*.f64 z 4))))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 4) 4)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 1)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 2) 2)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) -1)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 4) 4)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 2 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y)))) -2)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 8) 8)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))) 4) -4)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 8)) 16)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) 4)) -8)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y z)) 8))) 32)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))) 4)) 4)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 y z) (*.f64 x (cos.f64 y))) 4))) -16)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 8)))) 64)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) 4))) 8)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 8))))) 128)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) 4))) (.f64 2 (neg.f64 (.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))) 4)))) 16)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 y z)) 1)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(neg.f64 (-.f64 (.f64 y z) (.f64 x (cos.f64 y))))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 y (neg.f64 z)) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.2b	(*.f64 (pow.f64 y 3) -1/6)
✓	4.6b	(.f64 z (.f64 (pow.f64 y 3) -1/6))
✓	5.7b	(+.f64 (.f64 y z) (.f64 z (*.f64 (pow.f64 y 3) -1/6)))

Compiler

Compiled 59 to 32 computations (45.8% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (.f64 y z) (.f64 z (*.f64 (pow.f64 y 3) -1/6)))
1.0ms	z	@	inf	(+.f64 (.f64 y z) (.f64 z (*.f64 (pow.f64 y 3) -1/6)))
0.0ms	y	@	0	(+.f64 (.f64 y z) (.f64 z (*.f64 (pow.f64 y 3) -1/6)))
0.0ms	z	@	-inf	(+.f64 (.f64 y z) (.f64 z (*.f64 (pow.f64 y 3) -1/6)))
0.0ms	y	@	inf	(+.f64 (.f64 y z) (.f64 z (*.f64 (pow.f64 y 3) -1/6)))

rewrite162.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2742×	`rational.json-simplify-2`
1366×	`rational.json-simplify-35`
1332×	`exponential.json-3`
1332×	`rational.json-1`
1332×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	74	57
2	158	57
3	333	57
4	619	57
5	1474	57
6	3324	57
7	5087	57
8	6005	57
9	7126	57
10	7126	57

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(+.f64 (.f64 y z) (.f64 z (*.f64 (pow.f64 y 3) -1/6)))
(.f64 z (.f64 (pow.f64 y 3) -1/6))
(*.f64 (pow.f64 y 3) -1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 z (+.f64 (*.f64 (pow.f64 y 3) -1/12) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (*.f64 2 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (+.f64 (*.f64 (pow.f64 y 3) -1/12) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 z (*.f64 2 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 y 3) -1/12) (*.f64 y 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 1/2) (*.f64 2 (+.f64 y (*.f64 (pow.f64 y 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 1/2) (+.f64 (*.f64 (pow.f64 y 3) -1/3) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/12) (*.f64 y 1/2)) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/3) (+.f64 y y)) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 2 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (pow.f64 y 3) -1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (*.f64 (pow.f64 y 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (pow.f64 y 3) -1/12)) (*.f64 z (*.f64 (pow.f64 y 3) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (*.f64 (pow.f64 y 3) -1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (pow.f64 y 3) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (pow.f64 y 3) -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 3) (*.f64 z -2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 y 3) (*.f64 z -2/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) (*.f64 z -2/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) (*.f64 z -2/3))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) (*.f64 z -2/3)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) (*.f64 z -2/3))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 (pow.f64 y 3) -1/6)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 3) -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 y 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 3) -1/12) (*.f64 (pow.f64 y 3) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 y 3) -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 3) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 3) -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 3) -2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 y 3) -1/6) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (pow.f64 y 3) -1/6) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 y 3) -1/6) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 y 3) -1/6) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (pow.f64 y 3) -1/6) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) -1/6) 1)))))

simplify179.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2636×	`rational.json-simplify-2`
2292×	`rational.json-simplify-35`
2026×	`rational.json-simplify-51`
1668×	`rational.json-simplify-53`
1010×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	2678
1	314	2662
2	750	2380
3	2561	2380
4	4306	2380
5	5617	2380
6	6361	2380
7	6574	2380
8	6766	2380

Stop Event

1×	node limit

Counts

116 → 71

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 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 y z) (.f64 -1/6 (*.f64 (pow.f64 y 3) z)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) y) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 y) (.f64 1/6 (pow.f64 y 3))) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(.f64 -1/6 (.f64 (pow.f64 y 3) z))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(-.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 0)
(.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6)))
(.f64 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 1)
(.f64 1 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))))
(.f64 2 (.f64 z (+.f64 (.f64 (pow.f64 y 3) -1/12) (.f64 y 1/2))))
(.f64 (.f64 z (.f64 2 (+.f64 y (.f64 (pow.f64 y 3) -1/6)))) 1/2)
(.f64 (+.f64 z z) (.f64 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)) 1/2))
(.f64 (+.f64 z z) (+.f64 (.f64 (pow.f64 y 3) -1/12) (*.f64 y 1/2)))
(.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6)) z)
(.f64 4 (/.f64 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4))
(.f64 (.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 4) 1/4)
(.f64 (.f64 2 (+.f64 y (.f64 (pow.f64 y 3) -1/6))) (.f64 z 1/2))
(.f64 1/2 (.f64 z (.f64 2 (+.f64 y (.f64 (pow.f64 y 3) -1/6)))))
(.f64 (.f64 z (+.f64 (.f64 (pow.f64 y 3) -1/12) (.f64 y 1/2))) 2)
(.f64 (.f64 z 1/2) (.f64 2 (+.f64 y (.f64 (pow.f64 y 3) -1/6))))
(.f64 (.f64 z 1/2) (+.f64 (*.f64 (pow.f64 y 3) -1/3) (+.f64 y y)))
(.f64 (.f64 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)) 1/2) (+.f64 z z))
(.f64 1/4 (.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 4))
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/12) (*.f64 y 1/2)) (+.f64 z z))
(.f64 (/.f64 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4) 4)
(.f64 (+.f64 (.f64 (pow.f64 y 3) -1/3) (+.f64 y y)) (*.f64 z 1/2))
(/.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 1)
(/.f64 (.f64 z (.f64 2 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))) 2)
(/.f64 (.f64 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4) 4)
(/.f64 (.f64 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8))))) 128)
(pow.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 1)
(+.f64 (.f64 z (.f64 (pow.f64 y 3) -1/6)) 0)
(+.f64 0 (.f64 z (.f64 (pow.f64 y 3) -1/6)))
(+.f64 (.f64 z (.f64 (pow.f64 y 3) -1/12)) (.f64 z (.f64 (pow.f64 y 3) -1/12)))
(-.f64 (.f64 z (.f64 (pow.f64 y 3) -1/6)) 0)
(/.f64 (.f64 z (.f64 (pow.f64 y 3) -1/6)) 1)
(/.f64 (.f64 z (.f64 (pow.f64 y 3) -1/3)) 2)
(/.f64 (.f64 (pow.f64 y 3) (.f64 z -2/3)) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 y 3) (*.f64 z -2/3))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) (.f64 z -2/3)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) (*.f64 z -2/3))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) (.f64 z -2/3)))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) (*.f64 z -2/3))))))) 128)
(pow.f64 (.f64 z (.f64 (pow.f64 y 3) -1/6)) 1)
(+.f64 (*.f64 (pow.f64 y 3) -1/6) 0)
(+.f64 0 (*.f64 (pow.f64 y 3) -1/6))
(+.f64 (.f64 (pow.f64 y 3) -1/12) (.f64 (pow.f64 y 3) -1/12))
(-.f64 (*.f64 (pow.f64 y 3) -1/6) 0)
(/.f64 (*.f64 (pow.f64 y 3) -1/6) 1)
(/.f64 (*.f64 (pow.f64 y 3) -1/3) 2)
(/.f64 (*.f64 (pow.f64 y 3) -2/3) 4)
(/.f64 (.f64 (.f64 (pow.f64 y 3) -1/6) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 y 3) -1/6) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 y 3) -1/6) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 y 3) -1/6) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 y 3) -1/6) 8))))) 128)
(pow.f64 (*.f64 (pow.f64 y 3) -1/6) 1)

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))))
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(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
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(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
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(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 -1/6 (pow.f64 y 3))
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(.f64 (.f64 z 1/2) (.f64 2 (+.f64 y (.f64 (pow.f64 y 3) -1/6))))
(+.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 z 1/2) (+.f64 (*.f64 (pow.f64 y 3) -1/3) (+.f64 y y)))
(+.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 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)) 1/2) (+.f64 z 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 1/4 (.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 4))
(+.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 (.f64 (pow.f64 y 3) -1/12) (*.f64 y 1/2)) (+.f64 z 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 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4) 4)
(+.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 (.f64 (pow.f64 y 3) -1/3) (+.f64 y y)) (*.f64 z 1/2))
(+.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 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 1)
(+.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 z (.f64 2 (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))) 2)
(+.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 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 4) 4)
(+.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 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8) 8)
(+.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 2 (.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 8)) 16)
(+.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 2 (.f64 2 (.f64 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8))) 32)
(+.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 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 8)))) 64)
(+.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 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) 8))))) 128)
(+.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))))
(pow.f64 (.f64 z (+.f64 y (.f64 (pow.f64 y 3) -1/6))) 1)
(+.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 z (.f64 (pow.f64 y 3) -1/6)) 0)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(+.f64 0 (.f64 z (.f64 (pow.f64 y 3) -1/6)))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(+.f64 (.f64 z (.f64 (pow.f64 y 3) -1/12)) (.f64 z (.f64 (pow.f64 y 3) -1/12)))
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(-.f64 (.f64 z (.f64 (pow.f64 y 3) -1/6)) 0)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(/.f64 (.f64 z (.f64 (pow.f64 y 3) -1/6)) 1)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(/.f64 (.f64 z (.f64 (pow.f64 y 3) -1/3)) 2)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(/.f64 (.f64 (pow.f64 y 3) (.f64 z -2/3)) 4)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(/.f64 (.f64 2 (.f64 (pow.f64 y 3) (*.f64 z -2/3))) 8)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) (.f64 z -2/3)))) 16)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) (*.f64 z -2/3))))) 32)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) (.f64 z -2/3)))))) 64)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) (*.f64 z -2/3))))))) 128)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(pow.f64 (.f64 z (.f64 (pow.f64 y 3) -1/6)) 1)
(.f64 -1/6 (.f64 z (pow.f64 y 3)))
(.f64 z (.f64 -1/6 (pow.f64 y 3)))
(+.f64 (*.f64 (pow.f64 y 3) -1/6) 0)
(*.f64 -1/6 (pow.f64 y 3))
(+.f64 0 (*.f64 (pow.f64 y 3) -1/6))
(*.f64 -1/6 (pow.f64 y 3))
(+.f64 (.f64 (pow.f64 y 3) -1/12) (.f64 (pow.f64 y 3) -1/12))
(*.f64 -1/6 (pow.f64 y 3))
(-.f64 (*.f64 (pow.f64 y 3) -1/6) 0)
(*.f64 -1/6 (pow.f64 y 3))
(/.f64 (*.f64 (pow.f64 y 3) -1/6) 1)
(*.f64 -1/6 (pow.f64 y 3))
(/.f64 (*.f64 (pow.f64 y 3) -1/3) 2)
(*.f64 -1/6 (pow.f64 y 3))
(/.f64 (*.f64 (pow.f64 y 3) -2/3) 4)
(*.f64 -1/6 (pow.f64 y 3))
(/.f64 (.f64 (.f64 (pow.f64 y 3) -1/6) 8) 8)
(*.f64 -1/6 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 y 3) -1/6) 8)) 16)
(*.f64 -1/6 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 y 3) -1/6) 8))) 32)
(*.f64 -1/6 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 y 3) -1/6) 8)))) 64)
(*.f64 -1/6 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 y 3) -1/6) 8))))) 128)
(*.f64 -1/6 (pow.f64 y 3))
(pow.f64 (*.f64 (pow.f64 y 3) -1/6) 1)
(*.f64 -1/6 (pow.f64 y 3))

eval90.0ms (0.5%)

Compiler: Compiled 5346 to 2820 computations (47.3% saved)

prune62.0ms (0.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	353	6	359
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	356	9	365

Error

0.1b

Counts

365 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	14.4b	(-.f64 x (*.f64 z (sin.f64 y)))
▶	30.4b	(-.f64 x (*.f64 y z))
▶	22.4b	(+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)))
▶	53.3b	(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
▶	25.4b	(*.f64 (cos.f64 y) x)
✓	37.4b	(*.f64 z (neg.f64 (sin.f64 y)))
▶	52.9b	(*.f64 z (neg.f64 y))
	39.0b	x

Compiler

Compiled 147 to 101 computations (31.3% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)))
✓	0.0b	(-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z))
✓	0.1b	(.f64 (cos.f64 y) (.f64 x 1/2))

Compiler

Compiled 48 to 23 computations (52.1% saved)

series8.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)))
1.0ms	z	@	0	(+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)))
0.0ms	x	@	0	(.f64 (cos.f64 y) (.f64 x 1/2))
0.0ms	y	@	0	(.f64 (cos.f64 y) (.f64 x 1/2))
0.0ms	y	@	inf	(.f64 (cos.f64 y) (.f64 x 1/2))

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`rational.json-1`
1394×	`rational.json-2`
1394×	`rational.json-3`
1382×	`exponential.json-3`
1382×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	97
1	88	97
2	190	97
3	421	97
4	833	73
5	1962	73
6	3995	73
7	6262	73

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 x 1/4)) (*.f64 (cos.f64 y) (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (+.f64 x x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 x 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 x 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 x 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 x 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (*.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (*.f64 y z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) (*.f64 (cos.f64 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (-.f64 1 (*.f64 y z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 1/4)) (*.f64 y (*.f64 1/2 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(cos.f64 y) (*.f64 x 1/2)) (*.f64 y z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 y (+.f64 z z)) (*.f64 (cos.f64 y) x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (*.f64 y z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 y (+.f64 z z)) (*.f64 (cos.f64 y) x)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 y (+.f64 z z)) (*.f64 (cos.f64 y) x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (*.f64 y z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 (*.f64 y (+.f64 z z)) (*.f64 (cos.f64 y) x))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 y z) (/.f64 (*.f64 (cos.f64 y) x) -2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (+.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (-.f64 1 (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (-.f64 (*.f64 (cos.f64 y) (*.f64 x 1/4)) (*.f64 y (*.f64 1/2 z))) (*.f64 (cos.f64 y) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 1)))))

simplify638.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2144×	`rational.json-simplify-2`
1694×	`rational.json-simplify-35`
926×	`rational.json-simplify-51`
834×	`rational.json-simplify-1`
650×	`rational.json-simplify-42`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	200	4892
1	470	4664
2	1060	4434
3	2627	4410
4	4615	4230
5	5556	4230
6	6210	4230
7	6844	4230
8	7185	4230
9	7497	4230

Stop Event

1×	node limit

Counts

172 → 146

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/48 (.f64 (pow.f64 y 4) x)) (.f64 -1/4 (*.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/48 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) x)) (.f64 -1/1440 (*.f64 (pow.f64 y 6) x)))))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(.f64 1/2 (.f64 (cos.f64 y) x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/4 (*.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/48 (.f64 (pow.f64 y 4) x)) (.f64 -1/4 (*.f64 (pow.f64 y 2) x)))))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(.f64 1/2 (.f64 (cos.f64 y) x))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(.f64 1/2 (.f64 (cos.f64 y) x))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(.f64 1/2 (.f64 (cos.f64 y) x))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 y) x)) (.f64 -1 (.f64 y z)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) 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 -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 (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 (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 (.f64 (cos.f64 y) (.f64 x 1/2)) 0)
(+.f64 0 (.f64 (cos.f64 y) (.f64 x 1/2)))
(+.f64 (.f64 (cos.f64 y) (.f64 x 1/4)) (.f64 (cos.f64 y) (.f64 x 1/4)))
(-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) 0)
(/.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) 1)
(/.f64 (*.f64 (cos.f64 y) x) 2)
(/.f64 (*.f64 (cos.f64 y) (+.f64 x x)) 4)
(/.f64 (.f64 (cos.f64 y) (.f64 x 4)) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 y) (*.f64 x 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (.f64 x 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (*.f64 x 4))))) 64)
(pow.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) 1)
(+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 z (neg.f64 y)))
(+.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) 0)
(+.f64 0 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)))
(+.f64 1 (+.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) -1))
(+.f64 -1 (+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (-.f64 1 (*.f64 y z))))
(+.f64 -2 (+.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) 2))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (cos.f64 y) (*.f64 x 1/2)))
(+.f64 (+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (-.f64 1 (*.f64 y z))) -1)
(+.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/4)) (.f64 y (.f64 1/2 z))) (-.f64 (.f64 (cos.f64 y) (.f64 x 1/4)) (.f64 y (.f64 1/2 z))))
(+.f64 (.f64 (cos.f64 y) (.f64 x 1/4)) (-.f64 (.f64 (cos.f64 y) (.f64 x 1/4)) (*.f64 y z)))
(+.f64 (-.f64 1 (.f64 y z)) (+.f64 (.f64 (cos.f64 y) (*.f64 x 1/2)) -1))
(+.f64 (+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) 1) (+.f64 (*.f64 z (neg.f64 y)) -1))
(+.f64 (+.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) 2) -2)
(.f64 1/2 (-.f64 (.f64 (cos.f64 y) x) (*.f64 y (+.f64 z z))))
(.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (.f64 y z)) 1)
(.f64 1 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (.f64 y z)))
(.f64 -1 (+.f64 (.f64 y z) (/.f64 (*.f64 (cos.f64 y) x) -2)))
(.f64 2 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/4)) (.f64 y (*.f64 1/2 z))))
(.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 y (+.f64 z z))) 1/2)
(.f64 (+.f64 (.f64 y z) (/.f64 (*.f64 (cos.f64 y) x) -2)) -1)
(.f64 4 (/.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (.f64 y z)) 4))
(.f64 4 (-.f64 (/.f64 (.f64 (cos.f64 y) x) 8) (/.f64 (*.f64 y z) 4)))
(.f64 4 (-.f64 (.f64 (.f64 (cos.f64 y) 1/4) (.f64 x 1/2)) (/.f64 (*.f64 y z) 4)))
(.f64 4 (-.f64 (.f64 (/.f64 x 8) (cos.f64 y)) (/.f64 (*.f64 y z) 4)))
(.f64 (-.f64 (.f64 (cos.f64 y) (+.f64 x x)) (.f64 y (.f64 z 4))) 1/4)
(.f64 1/4 (-.f64 (.f64 (cos.f64 y) (+.f64 x x)) (.f64 y (.f64 z 4))))
(.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/4)) (.f64 y (*.f64 1/2 z))) 2)
(.f64 (/.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (.f64 y z)) 4) 4)
(/.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) 1)
(/.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 y (+.f64 z z))) 2)
(/.f64 (+.f64 (.f64 y z) (/.f64 (.f64 (cos.f64 y) x) -2)) -1)
(/.f64 (-.f64 (.f64 (cos.f64 y) (+.f64 x x)) (.f64 y (*.f64 z 4))) 4)
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (.f64 y z)) 8) 8)
(/.f64 (-.f64 (.f64 y (+.f64 z z)) (.f64 (cos.f64 y) x)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) 8)) 16)
(/.f64 (.f64 2 (-.f64 (.f64 y (+.f64 z z)) (*.f64 (cos.f64 y) x))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (.f64 y z)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 y (+.f64 z z)) (.f64 (cos.f64 y) x)))) -8)
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 y (+.f64 z z)) (*.f64 (cos.f64 y) x)))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) 8)))) 64)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 y (+.f64 z z)) (.f64 (cos.f64 y) x))))) 8)
(pow.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) 1)
(neg.f64 (+.f64 (.f64 y z) (/.f64 (.f64 (cos.f64 y) x) -2)))
(-.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 0)
(-.f64 (+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (-.f64 1 (*.f64 y z)))) 1)
(.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 2))
(.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 1)
(.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y)))))
(.f64 2 (+.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/4)) (.f64 y (.f64 1/2 z))) (.f64 (cos.f64 y) (*.f64 x 1/4))))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 4))
(.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y)))) 2)
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4) 4)
(/.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 1)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 8)))) 64)
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (*.f64 x (pow.f64 y 2))))
(+.f64 (.f64 1/2 x) (.f64 x (*.f64 (pow.f64 y 2) -1/4)))
(.f64 x (+.f64 1/2 (.f64 -1/4 (pow.f64 y 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/48 (.f64 (pow.f64 y 4) x)) (.f64 -1/4 (*.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/4 (.f64 x (pow.f64 y 2))) (.f64 1/48 (*.f64 x (pow.f64 y 4)))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 x (.f64 (pow.f64 y 2) -1/4)) (.f64 x (*.f64 1/48 (pow.f64 y 4)))))
(+.f64 (.f64 x (.f64 -1/4 (pow.f64 y 2))) (.f64 x (+.f64 1/2 (.f64 1/48 (pow.f64 y 4)))))
(.f64 x (+.f64 (.f64 1/48 (pow.f64 y 4)) (+.f64 1/2 (*.f64 -1/4 (pow.f64 y 2)))))
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(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (.f64 y z)) 8))) 32)
(+.f64 (.f64 y (.f64 z -1)) (.f64 1/2 (.f64 x (cos.f64 y))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 (*.f64 x (cos.f64 y))))
(-.f64 (.f64 x (.f64 1/2 (cos.f64 y))) (*.f64 y z))
(-.f64 (.f64 1/2 (.f64 x (cos.f64 y))) (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 y (+.f64 z z)) (.f64 (cos.f64 y) x)))) -8)
(.f64 1/2 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y (+.f64 z z))))
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 y (+.f64 z z)) (*.f64 (cos.f64 y) x)))) 4)
(.f64 1/2 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y (+.f64 z z))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) 8)))) 64)
(+.f64 (.f64 y (.f64 z -1)) (.f64 1/2 (.f64 x (cos.f64 y))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 (*.f64 x (cos.f64 y))))
(-.f64 (.f64 x (.f64 1/2 (cos.f64 y))) (*.f64 y z))
(-.f64 (.f64 1/2 (.f64 x (cos.f64 y))) (*.f64 y z))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (.f64 y (+.f64 z z)) (.f64 (cos.f64 y) x))))) 8)
(.f64 1/2 (-.f64 (.f64 x (cos.f64 y)) (*.f64 y (+.f64 z z))))
(pow.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)) 1)
(+.f64 (.f64 y (.f64 z -1)) (.f64 1/2 (.f64 x (cos.f64 y))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 (*.f64 x (cos.f64 y))))
(-.f64 (.f64 x (.f64 1/2 (cos.f64 y))) (*.f64 y z))
(-.f64 (.f64 1/2 (.f64 x (cos.f64 y))) (*.f64 y z))
(neg.f64 (+.f64 (.f64 y z) (/.f64 (.f64 (cos.f64 y) x) -2)))
(neg.f64 (+.f64 (.f64 y z) (.f64 x (/.f64 (cos.f64 y) -2))))
(-.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 0)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(-.f64 (+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (-.f64 1 (*.f64 y z)))) 1)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 2))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 1)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 1 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 2 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 2 (+.f64 (-.f64 (.f64 (cos.f64 y) (.f64 x 1/4)) (.f64 y (.f64 1/2 z))) (.f64 (cos.f64 y) (*.f64 x 1/4))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 2) 1/2)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 4 (/.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 4) 1/4)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 1/4 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 4))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 (.f64 1/2 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y)))) 2)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(.f64 (/.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4) 4)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 1)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 2) 2)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 4) 4)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 8) 8)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 8)) 16)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) x) (*.f64 z (neg.f64 y))) 8))) 32)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 8)))) 64)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(pow.f64 (+.f64 (.f64 (cos.f64 y) x) (.f64 z (neg.f64 y))) 1)
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (*.f64 z -1)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))

localize4.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

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 y z))
0.0ms	x	@	-inf	(-.f64 x (*.f64 y z))
0.0ms	z	@	-inf	(-.f64 x (*.f64 y z))
0.0ms	x	@	inf	(-.f64 x (*.f64 y z))
0.0ms	y	@	-inf	(-.f64 x (*.f64 y z))

rewrite529.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`exponential.json-3`
1498×	`rational.json-1`
1498×	`rational.json-2`
1498×	`rational.json-4`
1498×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	103	13
3	223	13
4	410	13
5	938	13
6	2497	13
7	4730	13
8	6536	13

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 y z)))))) (#(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 y (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (*.f64 y z)) 1/2) (*.f64 (-.f64 x (*.f64 y z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 y z)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 -1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 x (*.f64 y z)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 y z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 x (*.f64 y z)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 y z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 y z) x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 y z)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 y z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (*.f64 y z) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 x (*.f64 y z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 y z)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 x (*.f64 y z)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (-.f64 (*.f64 x 8) (*.f64 y (*.f64 z 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 2 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 y z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 y z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 y z) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 y z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 y z) x))))))

simplify1.3s (7.7%)

Algorithm

1×	egg-herbie

Rules

2504×	`rational.json-simplify-35`
2474×	`rational.json-simplify-52`
1680×	`rational.json-simplify-2`
1390×	`rational.json-simplify-1`
598×	`rational.json-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	1331
1	224	1331
2	587	1331
3	1369	1331
4	2682	1039
5	3478	1039
6	3835	1039
7	4212	1039
8	4862	1039
9	5471	1039
10	5690	1039
11	6003	1039
12	6716	1039
13	6924	1039
14	6997	1039
15	7154	1039
16	7171	1039
17	7351	1039

Stop Event

1×	node limit

Counts

83 → 53

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 (*.f64 y (neg.f64 z)))
(+.f64 (-.f64 x (*.f64 y z)) 0)
(+.f64 0 (-.f64 x (*.f64 y z)))
(+.f64 1 (+.f64 x (-.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 -1 (-.f64 1 (-.f64 (*.f64 y z) x)))
(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(+.f64 (.f64 (-.f64 x (.f64 y z)) 1/2) (.f64 (-.f64 x (.f64 y z)) 1/2))
(+.f64 (-.f64 1 (*.f64 y z)) (+.f64 x -1))
(+.f64 -2 (+.f64 (-.f64 x (*.f64 y z)) 2))
(+.f64 (+.f64 x 1) (-.f64 -1 (*.f64 y z)))
(+.f64 (+.f64 (-.f64 x (*.f64 y z)) 2) -2)
(.f64 (-.f64 x (.f64 y z)) 1)
(.f64 1 (-.f64 x (.f64 y z)))
(.f64 2 (.f64 (-.f64 x (*.f64 y z)) 1/2))
(.f64 (.f64 (-.f64 x (*.f64 y z)) 2) 1/2)
(.f64 (-.f64 (.f64 y z) x) -1)
(.f64 4 (.f64 (-.f64 x (*.f64 y z)) 1/4))
(.f64 (.f64 (-.f64 x (*.f64 y z)) 4) 1/4)
(.f64 -1 (-.f64 (.f64 y z) x))
(.f64 (.f64 2 (-.f64 (*.f64 y z) x)) -1/2)
(.f64 (.f64 (-.f64 x (*.f64 y z)) 8) 1/8)
(.f64 1/2 (.f64 (-.f64 x (*.f64 y z)) 2))
(.f64 (.f64 (-.f64 x (*.f64 y z)) 1/2) 2)
(.f64 -2 (.f64 (-.f64 (*.f64 y z) x) 1/2))
(.f64 (.f64 (-.f64 (*.f64 y z) x) 1/2) -2)
(.f64 1/4 (.f64 (-.f64 x (*.f64 y z)) 4))
(.f64 (.f64 (-.f64 x (*.f64 y z)) 1/4) 4)
(.f64 1/8 (.f64 (-.f64 x (*.f64 y z)) 8))
(.f64 1/8 (-.f64 (.f64 x 8) (.f64 y (.f64 z 8))))
(.f64 -1/2 (.f64 2 (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 x (*.f64 y z)) 1)
(/.f64 (.f64 (-.f64 x (.f64 y z)) 2) 2)
(/.f64 (-.f64 (*.f64 y z) x) -1)
(/.f64 (.f64 (-.f64 x (.f64 y z)) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 y z) x)) -2)
(/.f64 (.f64 (-.f64 x (.f64 y z)) 8) 8)
(/.f64 (.f64 (-.f64 (.f64 y z) x) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 y z)) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 y z) x) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 y z)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (*.f64 y z)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 y z) x) 4))) -16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 y z)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 y z)) 8))))) 128)
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(neg.f64 (-.f64 (*.f64 y z) x))

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) 0)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 0 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 1 (+.f64 x (-.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 -1 (-.f64 1 (-.f64 (*.f64 y z) x)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(+.f64 (.f64 (-.f64 x (.f64 y z)) 1/2) (.f64 (-.f64 x (.f64 y z)) 1/2))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 1 (*.f64 y z)) (+.f64 x -1))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 -2 (+.f64 (-.f64 x (*.f64 y z)) 2))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (+.f64 x 1) (-.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 (+.f64 (-.f64 x (*.f64 y z)) 2) -2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 (-.f64 x (.f64 y z)) 1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 1 (-.f64 x (.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 2 (.f64 (-.f64 x (*.f64 y z)) 1/2))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 (.f64 (-.f64 x (*.f64 y z)) 2) 1/2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 (-.f64 (.f64 y z) x) -1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 4 (.f64 (-.f64 x (*.f64 y z)) 1/4))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 (.f64 (-.f64 x (*.f64 y z)) 4) 1/4)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 -1 (-.f64 (.f64 y z) x))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 (.f64 2 (-.f64 (*.f64 y z) x)) -1/2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 (.f64 (-.f64 x (*.f64 y z)) 8) 1/8)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 1/2 (.f64 (-.f64 x (*.f64 y z)) 2))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 (.f64 (-.f64 x (*.f64 y z)) 1/2) 2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 -2 (.f64 (-.f64 (*.f64 y z) x) 1/2))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 (.f64 (-.f64 (*.f64 y z) x) 1/2) -2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 1/4 (.f64 (-.f64 x (*.f64 y z)) 4))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 (.f64 (-.f64 x (*.f64 y z)) 1/4) 4)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 1/8 (.f64 (-.f64 x (*.f64 y z)) 8))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 1/8 (-.f64 (.f64 x 8) (.f64 y (.f64 z 8))))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(.f64 -1/2 (.f64 2 (-.f64 (*.f64 y z) x)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (-.f64 x (*.f64 y z)) 1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 (-.f64 x (.f64 y z)) 2) 2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (-.f64 (*.f64 y z) x) -1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 (-.f64 x (.f64 y z)) 4) 4)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (-.f64 (.f64 y z) x)) -2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 (-.f64 x (.f64 y z)) 8) 8)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 (-.f64 (.f64 y z) x) 4) -4)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 y z)) 8)) 16)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 y z) x) 4)) -8)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 y z)) 8))) 32)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (*.f64 y z)) 8)))) 64)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 y z) x) 4))) -16)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 y z)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 y z)) 8))))) 128)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(neg.f64 (-.f64 (*.f64 y z) x))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 y) x)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 4

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	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)

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-simplify-35`
1330×	`exponential.json-3`
1330×	`rational.json-1`
1330×	`rational.json-2`
1330×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	47	11
2	113	11
3	247	11
4	482	11
5	1096	11
6	2237	11
7	3642	11
8	4826	11
9	6743	11

Stop Event

1×	node limit

Counts

1 → 14

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 0 (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 x 1/2)) (*.f64 (cos.f64 y) (*.f64 x 1/2)))))) (#(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 (*.f64 (cos.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 x 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 x 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 x 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 x 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 x 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 x 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 y) (*.f64 x 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))))

simplify381.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1806×	`rational.json-simplify-35`
1770×	`rational.json-simplify-2`
1544×	`rational.json-simplify-53`
1296×	`rational.json-simplify-1`
1166×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	302
1	151	302
2	296	302
3	601	290
4	1954	290
5	3757	290
6	4313	290
7	4489	290
8	4642	290
9	4812	290
10	4998	290
11	6272	290
12	7303	290
13	7727	290
14	7773	290
15	7778	290
16	7782	290

Stop Event

1×	node limit

Counts

18 → 30

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) 0)
(+.f64 0 (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (.f64 (cos.f64 y) (.f64 x 1/2)))
(-.f64 (*.f64 (cos.f64 y) x) 0)
(/.f64 (*.f64 (cos.f64 y) x) 1)
(/.f64 (*.f64 (cos.f64 y) (+.f64 x x)) 2)
(/.f64 (.f64 (cos.f64 y) (.f64 x 4)) 4)
(/.f64 (.f64 (cos.f64 y) (.f64 x 8)) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 y) (*.f64 x 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (.f64 x 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (*.f64 x 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (.f64 x 8)))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (.f64 x 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (.f64 x 8))))))) 256)
(pow.f64 (*.f64 (cos.f64 y) x) 1)

Outputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 x (.f64 -1/2 (.f64 x (pow.f64 y 2))))
(+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/2)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/2 (.f64 x (pow.f64 y 2))) (+.f64 x (.f64 1/24 (.f64 x (pow.f64 y 4)))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/2)) (+.f64 x (.f64 x (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/2)) (+.f64 x (.f64 (pow.f64 y 4) (.f64 x 1/24))))
(+.f64 x (.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(+.f64 (.f64 1/24 (.f64 x (pow.f64 y 4))) (+.f64 (+.f64 x (.f64 -1/2 (.f64 x (pow.f64 y 2)))) (.f64 -1/720 (.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/2)) (+.f64 (+.f64 x (.f64 x (.f64 (pow.f64 y 4) 1/24))) (.f64 x (.f64 (pow.f64 y 6) -1/720))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 x -1/2)) (+.f64 (.f64 x (.f64 -1/720 (pow.f64 y 6))) (+.f64 x (.f64 (pow.f64 y 4) (.f64 x 1/24)))))
(+.f64 x (+.f64 (.f64 x (.f64 -1/720 (pow.f64 y 6))) (.f64 x (+.f64 (.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2))))))
(+.f64 (+.f64 x (.f64 (pow.f64 y 2) (.f64 x -1/2))) (.f64 x (+.f64 (.f64 -1/720 (pow.f64 y 6)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (*.f64 (cos.f64 y) x) 0)
(*.f64 x (cos.f64 y))
(+.f64 0 (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (.f64 (cos.f64 y) (.f64 x 1/2)))
(*.f64 x (cos.f64 y))
(-.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 (*.f64 (cos.f64 y) (+.f64 x x)) 2)
(*.f64 x (cos.f64 y))
(/.f64 (.f64 (cos.f64 y) (.f64 x 4)) 4)
(*.f64 x (cos.f64 y))
(/.f64 (.f64 (cos.f64 y) (.f64 x 8)) 8)
(*.f64 x (cos.f64 y))
(/.f64 (.f64 2 (.f64 (cos.f64 y) (*.f64 x 8))) 16)
(*.f64 x (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (.f64 x 8)))) 32)
(*.f64 x (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (*.f64 x 8))))) 64)
(*.f64 x (cos.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (.f64 x 8)))))) 128)
(*.f64 x (cos.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (.f64 x 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 y) (.f64 x 8))))))) 256)
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) x) 1)
(*.f64 x (cos.f64 y))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 1/6 (pow.f64 y 3))
✓	4.6b	(.f64 z (.f64 1/6 (pow.f64 y 3)))
✓	5.5b	(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))

Compiler

Compiled 40 to 24 computations (40% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
0.0ms	y	@	0	(*.f64 1/6 (pow.f64 y 3))
0.0ms	y	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
0.0ms	y	@	inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
0.0ms	y	@	0	(.f64 z (.f64 1/6 (pow.f64 y 3)))

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`rational.json-simplify-35`
1614×	`rational.json-1`
1614×	`rational.json-2`
1614×	`rational.json-4`
1614×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	90	61
2	197	61
3	428	61
4	853	61
5	2099	61
6	3723	61
7	5343	61
8	7421	61

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs
(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
(.f64 z (.f64 1/6 (pow.f64 y 3)))
(*.f64 1/6 (pow.f64 y 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (/.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (*.f64 2 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 z (*.f64 2 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 1/2) (*.f64 2 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 2 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 1/6 (pow.f64 y 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (pow.f64 y 3) 1/12)) (*.f64 z (*.f64 (pow.f64 y 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (*.f64 1/6 (pow.f64 y 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 1/6 (pow.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 3) (*.f64 z 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (pow.f64 y 3) 2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 3) 2/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 3) 2/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 3) 2/3))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 3) 2/3)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 3) 2/3)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 3) 2/3))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 1/6 (pow.f64 y 3))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 y 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 3) 1/12) (*.f64 (pow.f64 y 3) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 y 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 3) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 3) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 y 3) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) 2/3))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) 2/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)))))

simplify195.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2964×	`rational.json-simplify-2`
1874×	`rational.json-simplify-35`
1302×	`rational.json-simplify-51`
1056×	`exponential.json-simplify-26`
1052×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	2381
1	299	2371
2	692	2371
3	2094	2371
4	4621	2371
5	5835	2371
6	6124	2371
7	6282	2371
8	6431	2371
9	6575	2371

Stop Event

1×	node limit

Counts

103 → 69

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))
(.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 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(-.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 0)
(.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))
(.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 1)
(.f64 1 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))))
(.f64 2 (.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 2)))
(.f64 2 (.f64 (.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) 1/2) z))
(.f64 (+.f64 z z) (.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 1/2))
(.f64 (+.f64 z z) (/.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) 2))
(.f64 (.f64 z (.f64 2 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))) 1/2)
(.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) z)
(.f64 4 (/.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))
(.f64 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4) 1/4)
(.f64 (.f64 2 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) (.f64 z 1/2))
(.f64 1/2 (.f64 z (.f64 2 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))))
(.f64 (.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 2)) 2)
(.f64 (.f64 z 1/2) (.f64 2 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))))
(.f64 (.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 1/2) (+.f64 z z))
(.f64 1/4 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4))
(.f64 (/.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) 2) (+.f64 z z))
(.f64 (/.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4) 4)
(/.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 1)
(/.f64 (.f64 z (.f64 2 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))) 2)
(/.f64 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4)))))) 128)
(pow.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 1)
(+.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) 0)
(+.f64 0 (.f64 z (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 z (.f64 (pow.f64 y 3) 1/12)) (.f64 z (.f64 (pow.f64 y 3) 1/12)))
(-.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) 0)
(/.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) 1)
(/.f64 (.f64 (pow.f64 y 3) (.f64 z 1/3)) 2)
(/.f64 (.f64 z (.f64 (pow.f64 y 3) 2/3)) 4)
(/.f64 (.f64 2 (.f64 z (*.f64 (pow.f64 y 3) 2/3))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (pow.f64 y 3) 2/3)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 z (*.f64 (pow.f64 y 3) 2/3))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 z (.f64 (pow.f64 y 3) 2/3)))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 z (.f64 (pow.f64 y 3) 2/3)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 z (.f64 (pow.f64 y 3) 2/3))))))) 128)
(pow.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) 1)
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0)
(+.f64 0 (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 (pow.f64 y 3) 1/12) (.f64 (pow.f64 y 3) 1/12))
(-.f64 (*.f64 1/6 (pow.f64 y 3)) 0)
(/.f64 (*.f64 1/6 (pow.f64 y 3)) 1)
(/.f64 (*.f64 (pow.f64 y 3) 1/3) 2)
(/.f64 (*.f64 (pow.f64 y 3) 2/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 y 3) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 y 3) 2/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) 2/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 y 3) 2/3))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) 2/3))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) 2/3)))))) 128)
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)

Outputs
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1 y) (*.f64 1/6 (pow.f64 y 3))) z)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))
(.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6)) (*.f64 z -1))
(.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6))))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))
(.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6)) (*.f64 z -1))
(.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6))))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))
(.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6)) (*.f64 z -1))
(.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6))))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y) z))
(.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6)) (*.f64 z -1))
(.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 3) -1/6))))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 1/6 (.f64 (pow.f64 y 3) z)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(.f64 1/6 (.f64 (pow.f64 y 3) z))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(-.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 0)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.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 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 1)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 1 (.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 2 (.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 2)))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 2 (.f64 (.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) 1/2) z))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 z z) (.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 1/2))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 z z) (/.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) 2))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (.f64 z (.f64 2 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))) 1/2)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) z)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 4 (/.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4) 1/4)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (.f64 2 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) (.f64 z 1/2))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 1/2 (.f64 z (.f64 2 (+.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 z (/.f64 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 2)) 2)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (.f64 z 1/2) (.f64 2 (+.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 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))) 1/2) (+.f64 z z))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 1/4 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (/.f64 (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))) 2) (+.f64 z z))
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(.f64 (/.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4) 4)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(/.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 1)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(/.f64 (.f64 z (.f64 2 (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))) 2)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(/.f64 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4) 4)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(/.f64 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4)) 8)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))) 16)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4)))) 32)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3)))) 4))))) 64)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 4)))))) 128)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(pow.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3)))) 1)
(.f64 z (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))
(+.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) 0)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(+.f64 0 (.f64 z (.f64 1/6 (pow.f64 y 3))))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(+.f64 (.f64 z (.f64 (pow.f64 y 3) 1/12)) (.f64 z (.f64 (pow.f64 y 3) 1/12)))
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(-.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) 0)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(/.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) 1)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(/.f64 (.f64 (pow.f64 y 3) (.f64 z 1/3)) 2)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(/.f64 (.f64 z (.f64 (pow.f64 y 3) 2/3)) 4)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(/.f64 (.f64 2 (.f64 z (*.f64 (pow.f64 y 3) 2/3))) 8)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(/.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (pow.f64 y 3) 2/3)))) 16)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 z (*.f64 (pow.f64 y 3) 2/3))))) 32)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 z (.f64 (pow.f64 y 3) 2/3)))))) 64)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 z (.f64 (pow.f64 y 3) 2/3)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 z (.f64 (pow.f64 y 3) 2/3))))))) 128)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(pow.f64 (.f64 z (.f64 1/6 (pow.f64 y 3))) 1)
(.f64 (pow.f64 y 3) (.f64 z 1/6))
(.f64 (pow.f64 y 3) (.f64 1/6 z))
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0)
(*.f64 1/6 (pow.f64 y 3))
(+.f64 0 (*.f64 1/6 (pow.f64 y 3)))
(*.f64 1/6 (pow.f64 y 3))
(+.f64 (.f64 (pow.f64 y 3) 1/12) (.f64 (pow.f64 y 3) 1/12))
(*.f64 1/6 (pow.f64 y 3))
(-.f64 (*.f64 1/6 (pow.f64 y 3)) 0)
(*.f64 1/6 (pow.f64 y 3))
(/.f64 (*.f64 1/6 (pow.f64 y 3)) 1)
(*.f64 1/6 (pow.f64 y 3))
(/.f64 (*.f64 (pow.f64 y 3) 1/3) 2)
(*.f64 1/6 (pow.f64 y 3))
(/.f64 (*.f64 (pow.f64 y 3) 2/3) 4)
(*.f64 1/6 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 (pow.f64 y 3) 2/3)) 8)
(*.f64 1/6 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 y 3) 2/3))) 16)
(*.f64 1/6 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) 2/3)))) 32)
(*.f64 1/6 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 y 3) 2/3))))) 64)
(*.f64 1/6 (pow.f64 y 3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) 2/3))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) 2/3)))))) 128)
(*.f64 1/6 (pow.f64 y 3))
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)
(*.f64 1/6 (pow.f64 y 3))

eval166.0ms (1%)

Compiler: Compiled 5551 to 3170 computations (42.9% saved)

prune229.0ms (1.4%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	328	2	330
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	329	10	339

Error

0.1b

Counts

339 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	14.4b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	30.4b	(-.f64 x (*.f64 y z))
▶	41.7b	(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
✓	53.3b	(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
▶	30.4b	(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
✓	25.4b	(*.f64 (cos.f64 y) x)
✓	37.4b	(*.f64 z (neg.f64 (sin.f64 y)))
✓	52.9b	(*.f64 z (neg.f64 y))
	39.0b	x

Compiler

Compiled 96 to 68 computations (29.2% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 16 computations (48.4% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite111.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`rational.json-simplify-35`
1388×	`exponential.json-3`
1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	65	50
2	132	50
3	280	50
4	524	36
5	1228	36
6	2826	36
7	4746	36
8	6728	36

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x 1/2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x 1/2) (-.f64 -1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 x 1/2) (+.f64 (*.f64 y z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/2) (+.f64 (*.f64 y z) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/4) (*.f64 z (/.f64 y 2))) (-.f64 (*.f64 x 1/4) (*.f64 z (/.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/4) (-.f64 (*.f64 x 1/4) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 y z)) (+.f64 (*.f64 x 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/2) 1) (-.f64 -1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/2) -1) (-.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/2) (-.f64 -1 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 y z)) (+.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/4) (*.f64 y z)) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 x (*.f64 z (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x 1/2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 x 1/4) (*.f64 z (/.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (+.f64 y y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y z) (*.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (*.f64 x 1/8) (*.f64 y (*.f64 z 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 y z) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z (+.f64 y y)) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 y 8))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 1/4) (*.f64 z (/.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 (*.f64 z (/.f64 y 2)) (/.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 z (/.f64 y 2)) (/.f64 x -4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 y 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 1/8) (*.f64 y (*.f64 z 1/4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 z (+.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 z (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y z) (*.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z (+.f64 y y)) x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 y 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y (*.f64 z 4)) (+.f64 x x)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 y 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 y (*.f64 z 4)) (+.f64 x x))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 y 8))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 y (*.f64 z 4)) (+.f64 x x)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 y 8)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 y 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (-.f64 (*.f64 x 4) (*.f64 z (*.f64 y 8))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 y z) (*.f64 x -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 y (neg.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (+.f64 (*.f64 y z) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 x (*.f64 y (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 x (*.f64 y (neg.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 (-.f64 (*.f64 x 1/2) (*.f64 y z)) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)))))

simplify780.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2016×	`rational.json-simplify-35`
1618×	`rational.json-simplify-2`
1604×	`rational.json-simplify-1`
1046×	`rational.json-simplify-52`
628×	`rational.json-simplify-48`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	160	3063
1	313	3063
2	739	3057
3	1677	3055
4	2843	3051
5	3459	3051
6	3675	2859
7	3982	2859
8	4429	2859
9	5149	2859
10	5527	2859
11	5826	2859
12	6156	2859
13	6850	2859
14	7031	2859
15	7195	2859
16	7301	2859
17	7327	2859
18	7597	2859

Stop Event

1×	node limit

Counts

147 → 102

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(.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 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 0)
(+.f64 0 (-.f64 (.f64 x 1/2) (.f64 y z)))
(+.f64 1 (+.f64 (.f64 x 1/2) (-.f64 -1 (.f64 y z))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 x 1/2))
(+.f64 -1 (-.f64 (.f64 x 1/2) (+.f64 (.f64 y z) -1)))
(+.f64 (-.f64 (.f64 x 1/2) (+.f64 (.f64 y z) -1)) -1)
(+.f64 (-.f64 (.f64 x 1/4) (.f64 z (/.f64 y 2))) (-.f64 (.f64 x 1/4) (.f64 z (/.f64 y 2))))
(+.f64 (.f64 x 1/4) (-.f64 (.f64 x 1/4) (*.f64 y z)))
(+.f64 (-.f64 1 (.f64 y z)) (+.f64 (.f64 x 1/2) -1))
(+.f64 -2 (+.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 2))
(+.f64 (+.f64 (.f64 x 1/2) 1) (-.f64 -1 (.f64 y z)))
(+.f64 (+.f64 (.f64 x 1/2) -1) (-.f64 1 (.f64 y z)))
(+.f64 (+.f64 (.f64 x 1/2) (-.f64 -1 (.f64 y z))) 1)
(+.f64 (+.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 2) -2)
(+.f64 (-.f64 -1 (.f64 y z)) (+.f64 (.f64 x 1/2) 1))
(+.f64 (-.f64 (.f64 x 1/4) (.f64 y z)) (*.f64 x 1/4))
(.f64 1/2 (-.f64 x (.f64 z (+.f64 y y))))
(.f64 (-.f64 (.f64 x 1/2) (*.f64 y z)) 1)
(.f64 1 (-.f64 (.f64 x 1/2) (*.f64 y z)))
(.f64 2 (-.f64 (.f64 x 1/4) (*.f64 z (/.f64 y 2))))
(.f64 (-.f64 x (.f64 z (+.f64 y y))) 1/2)
(.f64 (+.f64 (.f64 y z) (*.f64 x -1/2)) -1)
(.f64 4 (-.f64 (.f64 x 1/8) (.f64 y (.f64 z 1/4))))
(.f64 (.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 4) 1/4)
(.f64 -1 (+.f64 (.f64 y z) (*.f64 x -1/2)))
(.f64 (-.f64 (.f64 z (+.f64 y y)) x) -1/2)
(.f64 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8))) 1/8)
(.f64 (-.f64 (.f64 x 1/4) (*.f64 z (/.f64 y 2))) 2)
(.f64 1/4 (.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 4))
(.f64 -2 (+.f64 (.f64 z (/.f64 y 2)) (/.f64 x -4)))
(.f64 (+.f64 (.f64 z (/.f64 y 2)) (/.f64 x -4)) -2)
(.f64 1/8 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8))))
(.f64 (-.f64 (.f64 x 1/8) (.f64 y (.f64 z 1/4))) 4)
(.f64 -1/2 (-.f64 (.f64 z (+.f64 y y)) x))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 1)
(/.f64 (-.f64 x (*.f64 z (+.f64 y y))) 2)
(/.f64 (+.f64 (.f64 y z) (.f64 x -1/2)) -1)
(/.f64 (.f64 (-.f64 (.f64 x 1/2) (*.f64 y z)) 4) 4)
(/.f64 (-.f64 (*.f64 z (+.f64 y y)) x) -2)
(/.f64 (-.f64 (.f64 x 4) (.f64 z (*.f64 y 8))) 8)
(/.f64 (-.f64 (.f64 y (.f64 z 4)) (+.f64 x x)) -4)
(/.f64 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8)))) 16)
(/.f64 (.f64 2 (-.f64 (.f64 y (*.f64 z 4)) (+.f64 x x))) -8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (*.f64 y 8))))) 32)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 y (.f64 z 4)) (+.f64 x x)))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8)))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8)))))) (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8))))))) 128)
(pow.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 1)
(neg.f64 (+.f64 (.f64 y z) (.f64 x -1/2)))
(-.f64 (+.f64 x (*.f64 y (neg.f64 z))) 0)
(-.f64 (+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (+.f64 (*.f64 y z) -1))) 1)
(.f64 1/2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2))
(.f64 (+.f64 x (.f64 y (neg.f64 z))) 1)
(.f64 1 (+.f64 x (.f64 y (neg.f64 z))))
(.f64 2 (.f64 1/2 (+.f64 x (*.f64 y (neg.f64 z)))))
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 2) 1/2)
(.f64 4 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/4))
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4) 1/4)
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8) 1/8)
(.f64 1/4 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 4))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 4)))
(.f64 (.f64 1/2 (+.f64 x (*.f64 y (neg.f64 z)))) 2)
(.f64 1/8 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8))
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/4) 4)
(.f64 (+.f64 (+.f64 x x) (.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 4)) 1/4)
(/.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 2) 2)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 4) 4)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8))))) 128)
(pow.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
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(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
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(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
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(+.f64 0 (-.f64 (.f64 x 1/2) (.f64 y z)))
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(-.f64 (.f64 1/2 x) (.f64 y z))
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(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (.f64 y (neg.f64 z)) (.f64 x 1/2))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 -1 (-.f64 (.f64 x 1/2) (+.f64 (.f64 y z) -1)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (-.f64 (.f64 x 1/2) (+.f64 (.f64 y z) -1)) -1)
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (-.f64 (.f64 x 1/4) (.f64 z (/.f64 y 2))) (-.f64 (.f64 x 1/4) (.f64 z (/.f64 y 2))))
(+.f64 (.f64 x 1/4) (-.f64 (.f64 x 1/4) (*.f64 y z)))
(+.f64 (-.f64 1 (.f64 y z)) (+.f64 (.f64 x 1/2) -1))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 -2 (+.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 2))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (+.f64 (.f64 x 1/2) 1) (-.f64 -1 (.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (+.f64 (.f64 x 1/2) -1) (-.f64 1 (.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (+.f64 (.f64 x 1/2) (-.f64 -1 (.f64 y z))) 1)
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (+.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 2) -2)
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (-.f64 -1 (.f64 y z)) (+.f64 (.f64 x 1/2) 1))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(+.f64 (-.f64 (.f64 x 1/4) (.f64 y z)) (*.f64 x 1/4))
(+.f64 (.f64 x 1/4) (-.f64 (.f64 x 1/4) (*.f64 y z)))
(.f64 1/2 (-.f64 x (.f64 z (+.f64 y y))))
(.f64 1/2 (-.f64 x (.f64 y (+.f64 z z))))
(.f64 (-.f64 (.f64 x 1/2) (*.f64 y z)) 1)
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(.f64 1 (-.f64 (.f64 x 1/2) (*.f64 y z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(.f64 2 (-.f64 (.f64 x 1/4) (*.f64 z (/.f64 y 2))))
(.f64 (-.f64 x (.f64 z (+.f64 y y))) 1/2)
(.f64 1/2 (-.f64 x (.f64 z (+.f64 y y))))
(.f64 1/2 (-.f64 x (.f64 y (+.f64 z z))))
(.f64 (+.f64 (.f64 y z) (*.f64 x -1/2)) -1)
(neg.f64 (+.f64 (.f64 y z) (.f64 x -1/2)))
(.f64 4 (-.f64 (.f64 x 1/8) (.f64 y (.f64 z 1/4))))
(.f64 (.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 4) 1/4)
(+.f64 (.f64 y (neg.f64 z)) (.f64 1/2 x))
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(.f64 -1 (+.f64 (.f64 y z) (*.f64 x -1/2)))
(neg.f64 (+.f64 (.f64 y z) (.f64 x -1/2)))
(.f64 (-.f64 (.f64 z (+.f64 y y)) x) -1/2)
(.f64 -1/2 (-.f64 (.f64 z (+.f64 y y)) x))
(.f64 -1/2 (-.f64 (.f64 y (+.f64 z z)) x))
(.f64 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8))) 1/8)
(.f64 1/8 (-.f64 (.f64 x 4) (.f64 y (.f64 8 z))))
(.f64 1/8 (-.f64 (.f64 x 4) (.f64 y (.f64 z 8))))
(.f64 (-.f64 (.f64 x 1/4) (*.f64 z (/.f64 y 2))) 2)
(.f64 2 (-.f64 (.f64 x 1/4) (*.f64 z (/.f64 y 2))))
(.f64 1/4 (.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 4))
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(.f64 -2 (+.f64 (.f64 z (/.f64 y 2)) (/.f64 x -4)))
(.f64 (+.f64 (.f64 z (/.f64 y 2)) (/.f64 x -4)) -2)
(.f64 -2 (+.f64 (.f64 z (/.f64 y 2)) (/.f64 x -4)))
(.f64 1/8 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8))))
(.f64 1/8 (-.f64 (.f64 x 4) (.f64 y (.f64 8 z))))
(.f64 1/8 (-.f64 (.f64 x 4) (.f64 y (.f64 z 8))))
(.f64 (-.f64 (.f64 x 1/8) (.f64 y (.f64 z 1/4))) 4)
(.f64 4 (-.f64 (.f64 x 1/8) (.f64 y (.f64 z 1/4))))
(.f64 -1/2 (-.f64 (.f64 z (+.f64 y y)) x))
(.f64 -1/2 (-.f64 (.f64 y (+.f64 z z)) x))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 1)
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(/.f64 (+.f64 (.f64 y z) (.f64 x -1/2)) -1)
(neg.f64 (+.f64 (.f64 y z) (.f64 x -1/2)))
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(/.f64 (-.f64 (*.f64 z (+.f64 y y)) x) -2)
(/.f64 (-.f64 (*.f64 y (+.f64 z z)) x) -2)
(/.f64 (-.f64 (.f64 x 4) (.f64 z (*.f64 y 8))) 8)
(/.f64 (-.f64 (.f64 x 4) (.f64 y (*.f64 8 z))) 8)
(/.f64 (-.f64 (.f64 x 4) (.f64 y (*.f64 z 8))) 8)
(/.f64 (-.f64 (.f64 y (.f64 z 4)) (+.f64 x x)) -4)
(/.f64 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8)))) 16)
(.f64 1/8 (-.f64 (.f64 x 4) (.f64 y (.f64 8 z))))
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(/.f64 (.f64 2 (-.f64 (.f64 y (*.f64 z 4)) (+.f64 x x))) -8)
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(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (*.f64 y 8))))) 32)
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(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 y (.f64 z 4)) (+.f64 x x)))) -16)
(.f64 (-.f64 (.f64 y (*.f64 z 4)) (+.f64 x x)) -1/4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8)))))) 64)
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(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8)))))) (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 x 4) (.f64 z (.f64 y 8))))))) 128)
(.f64 1/8 (-.f64 (.f64 x 4) (.f64 y (.f64 8 z))))
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(pow.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 1)
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(.f64 1/4 (+.f64 (.f64 (-.f64 (.f64 1/2 x) (.f64 y z)) 4) (+.f64 x x)))
(.f64 1/4 (+.f64 x (+.f64 x (.f64 (-.f64 (.f64 1/2 x) (.f64 y z)) 4))))
(.f64 1/4 (+.f64 x (+.f64 x (.f64 (-.f64 (.f64 y z) (.f64 1/2 x)) -4))))
(.f64 1/4 (+.f64 x (+.f64 x (.f64 -4 (-.f64 (.f64 y z) (.f64 1/2 x))))))
(.f64 (.f64 1/2 (+.f64 x (*.f64 y (neg.f64 z)))) 2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(.f64 1/8 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8))
(+.f64 (*.f64 y (neg.f64 z)) x)
(.f64 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1/4) 4)
(+.f64 (*.f64 y (neg.f64 z)) x)
(.f64 (+.f64 (+.f64 x x) (.f64 (-.f64 (.f64 x 1/2) (.f64 y z)) 4)) 1/4)
(.f64 1/4 (+.f64 (.f64 (-.f64 (.f64 1/2 x) (.f64 y z)) 4) (+.f64 x x)))
(.f64 1/4 (+.f64 x (+.f64 x (.f64 (-.f64 (.f64 1/2 x) (.f64 y z)) 4))))
(.f64 1/4 (+.f64 x (+.f64 x (.f64 (-.f64 (.f64 y z) (.f64 1/2 x)) -4))))
(.f64 1/4 (+.f64 x (+.f64 x (.f64 -4 (-.f64 (.f64 y z) (.f64 1/2 x))))))
(/.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)
(+.f64 (*.f64 y (neg.f64 z)) x)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 2) 2)
(+.f64 (*.f64 y (neg.f64 z)) x)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 4) 4)
(+.f64 (*.f64 y (neg.f64 z)) x)
(/.f64 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8) 8)
(+.f64 (*.f64 y (neg.f64 z)) x)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)) 16)
(+.f64 (*.f64 y (neg.f64 z)) x)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8))) 32)
(+.f64 (*.f64 y (neg.f64 z)) x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 y (neg.f64 z))) 8)))) 64)
(+.f64 (*.f64 y (neg.f64 z)) x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (neg.f64 z))) 8))))) 128)
(+.f64 (*.f64 y (neg.f64 z)) x)
(pow.f64 (+.f64 x (*.f64 y (neg.f64 z))) 1)
(+.f64 (*.f64 y (neg.f64 z)) x)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y z) x)
✓	1.8b	(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)

Compiler

Compiled 32 to 13 computations (59.4% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
0.0ms	y	@	0	(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
0.0ms	y	@	0	(-.f64 (*.f64 y z) x)
0.0ms	z	@	-inf	(-.f64 (*.f64 y z) x)
0.0ms	y	@	-inf	(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`rational.json-1`
1442×	`rational.json-2`
1442×	`rational.json-3`
1438×	`exponential.json-3`
1438×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	84	32
2	183	26
3	363	26
4	740	26
5	1932	26
6	4519	26
7	6703	26

Stop Event

1×	node limit

Counts

2 → 130

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 y z) x) (*.f64 (-.f64 (*.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 y z) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (*.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 (*.f64 y z) (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -1) (+.f64 (*.f64 y z) -1))))) (#(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 (*.f64 y z) -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) (+.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x (*.f64 y z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 y z) x) -1/2) (*.f64 (-.f64 (*.f64 y z) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -2) (+.f64 (*.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x (*.f64 y z)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x 2) (+.f64 (*.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 1 x) 2) (+.f64 (*.f64 y z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x 2) 2) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 y z) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 y z) x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 x 4) (/.f64 (*.f64 y z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (-.f64 (*.f64 y z) x) 4) (*.f64 (-.f64 (*.f64 y z) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) 4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 y z) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (*.f64 y z) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 y z) x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 x 4) (*.f64 y (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 y z) x) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 y z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) -4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 x (*.f64 y z)) 8)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 8))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) -4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 x (*.f64 y z)) 8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x (*.f64 y z)) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) 8))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 8))) (neg.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) -4))) (neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) -4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x (*.f64 y z)) 8))) (neg.f64 (neg.f64 (*.f64 (-.f64 x (*.f64 y z)) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 y z) x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 y z) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y z) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y z) -1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y z) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (-.f64 (*.f64 y z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 (*.f64 y z) (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y z) -2) (-.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (+.f64 (*.f64 y z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 y z) x) 1/2) (*.f64 (-.f64 (*.f64 y z) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (+.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 y z)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (-.f64 1 (+.f64 (-.f64 x (*.f64 y z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (-.f64 (*.f64 y z) x) -2)) (+.f64 1 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (-.f64 (*.f64 y z) x) -1/2)) (-.f64 1 (*.f64 (-.f64 (*.f64 y z) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 y z) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (*.f64 y z) 4) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (-.f64 (*.f64 y z) x) -4) (*.f64 (-.f64 (*.f64 y z) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (-.f64 (*.f64 y z) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 y z) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 y (*.f64 z 4)) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 y z) x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 y z) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 y z)) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y z) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 x (*.f64 y z)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) 8)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 x (*.f64 y z)) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) 8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 y z) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) -4))) (*.f64 2 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 x (*.f64 y z)) 8))) (*.f64 2 (neg.f64 (*.f64 (-.f64 x (*.f64 y z)) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8))) (neg.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 y z)) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) 8))) (neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y z) x) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 x (*.f64 y z)))))))

simplify580.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2812×	`rational.json-simplify-35`
1328×	`rational.json-simplify-1`
1296×	`rational.json-simplify-2`
1088×	`rational.json-simplify-51`
776×	`rational.json-simplify-45`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	234	3478
1	505	3286
2	1242	3286
3	2695	2922
4	4840	2566
5	5881	2566
6	6383	2566
7	6627	2566
8	6859	2566
9	7091	2566
10	7091	2566
11	7243	2566
12	7270	2566
13	7288	2566
14	7480	2566
15	7672	2566
16	7864	2566

Stop Event

1×	node limit

Counts

202 → 147

Calls

Call 1

Inputs
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))
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(*.f64 -1 x)
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(pow.f64 (-.f64 (*.f64 y z) x) 1)
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Outputs
x
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(+.f64 (+.f64 (*.f64 y z) -2) (-.f64 (neg.f64 x) -2))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(+.f64 (-.f64 1 x) (+.f64 (*.f64 y z) -1))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(+.f64 (.f64 (-.f64 (.f64 y z) x) 1/2) (.f64 (-.f64 (.f64 y z) x) 1/2))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(+.f64 (-.f64 -1 x) (+.f64 1 (*.f64 y z)))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(+.f64 (+.f64 1 (*.f64 y z)) (-.f64 -1 x))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(+.f64 -3 (-.f64 1 (+.f64 (-.f64 x (*.f64 y z)) -2)))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(+.f64 (-.f64 -1 (.f64 (-.f64 (.f64 y z) x) -2)) (+.f64 1 (-.f64 x (*.f64 y z))))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(+.f64 (-.f64 -1 (.f64 (-.f64 (.f64 y z) x) -1/2)) (-.f64 1 (.f64 (-.f64 (.f64 y z) x) -1/2)))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 1 (-.f64 (.f64 y z) x))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 (-.f64 (.f64 y z) x) 1)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 -1 (-.f64 x (.f64 y z)))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 (-.f64 x (.f64 y z)) -1)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 2 (.f64 (-.f64 (*.f64 y z) x) 1/2))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 (.f64 (-.f64 (*.f64 y z) x) -2) -1/2)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 (.f64 (-.f64 (*.f64 y z) x) 2) 1/2)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 4 (/.f64 (-.f64 (.f64 y z) x) 4))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 4 (-.f64 (/.f64 (.f64 y z) 4) (/.f64 x 4)))
(.f64 4 (-.f64 (.f64 z (/.f64 y 4)) (/.f64 x 4)))
(.f64 4 (-.f64 (.f64 y (/.f64 z 4)) (/.f64 x 4)))
(.f64 4 (-.f64 (/.f64 (-.f64 (.f64 y z) x) -4) (.f64 (-.f64 (.f64 y z) x) -1/2)))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 (.f64 (-.f64 (*.f64 y z) x) -4) -1/4)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 (.f64 (-.f64 (*.f64 y z) x) 4) 1/4)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 1/2 (.f64 (-.f64 (*.f64 y z) x) 2))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 -2 (.f64 (-.f64 (*.f64 y z) x) -1/2))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 1/4 (.f64 (-.f64 (*.f64 y z) x) 4))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 1/4 (-.f64 (.f64 y (.f64 z 4)) (.f64 x 4)))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 (.f64 (-.f64 (*.f64 y z) x) -1/2) -2)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 (.f64 (-.f64 (*.f64 y z) x) 1/2) 2)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(.f64 (/.f64 (-.f64 (.f64 y z) x) 4) 4)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (-.f64 (*.f64 y z) x) 1)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (-.f64 x (*.f64 y z)) -1)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 (-.f64 (.f64 y z) x) -2) -2)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 (-.f64 (.f64 y z) x) 2) 2)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 (-.f64 (.f64 y z) x) -4) -4)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 (-.f64 (.f64 y z) x) 4) 4)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 (-.f64 x (.f64 y z)) 8) -8)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 (-.f64 (.f64 y z) x) 8) 8)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 y z) x) 8)) 16)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 y z)) 8)) -16)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y z) x) -4)) 4)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (neg.f64 (.f64 (-.f64 x (.f64 y z)) 8)) 8)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y z) x) 8)) -8)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 y z) x) 8))) 32)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (*.f64 y z) x) -4))) 8)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 x (*.f64 y z)) 8))) 16)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 x (.f64 y z)) 8))) -32)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (*.f64 y z) x) 8))) -16)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (neg.f64 (.f64 2 (.f64 (-.f64 x (*.f64 y z)) 8))) 16)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 y z) x) 8))) 8)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 y z) x) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 y z) x) 8)))) 64)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (-.f64 (.f64 y z) x) -4))) (.f64 2 (neg.f64 (.f64 (-.f64 (.f64 y z) x) -4)))) 16)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (-.f64 x (.f64 y z)) 8))) (.f64 2 (neg.f64 (.f64 (-.f64 x (.f64 y z)) 8)))) 32)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (-.f64 x (.f64 y z)) 8))) (neg.f64 (.f64 2 (.f64 (-.f64 x (.f64 y z)) 8)))) 32)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(/.f64 (+.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 y z) x) 8))) (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 y z) x) 8)))) 16)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(pow.f64 (-.f64 (*.f64 y z) x) 1)
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(neg.f64 (-.f64 x (*.f64 y z)))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)

eval161.0ms (1%)

Compiler: Compiled 3144 to 1826 computations (41.9% saved)

prune408.0ms (2.5%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	243	6	249
Fresh	0	1	1
Picked	1	0	1
Done	0	8	8
Total	244	15	259

Error

0.1b

Counts

259 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	14.4b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	30.4b	(-.f64 x (*.f64 y z))
	41.7b	(+.f64 (-.f64 1 (+.f64 (-.f64 -1 (.f64 (-.f64 (.f64 y z) x) -2)) (+.f64 1 (-.f64 x (*.f64 y z))))) -1)
	56.7b	(+.f64 (-.f64 1 (*.f64 y z)) -1)
	46.6b	(+.f64 (-.f64 1 (neg.f64 x)) -1)
✓	53.3b	(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
✓	30.4b	(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
	40.4b	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/2) (+.f64 (*.f64 y z) -1)) -1))
	30.4b	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/4) (.f64 y z)) (.f64 x 1/4)))
	48.8b	(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
✓	25.4b	(*.f64 (cos.f64 y) x)
✓	37.4b	(*.f64 z (neg.f64 (sin.f64 y)))
✓	52.9b	(*.f64 z (neg.f64 y))
	39.0b	x

Compiler

Compiled 174 to 127 computations (27% saved)

regimes51.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (neg.f64 x)) -1)
(+.f64 (-.f64 1 (*.f64 y z)) -1)
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/4) (.f64 y z)) (.f64 x 1/4)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/2) (+.f64 (*.f64 y z) -1)) -1))
(+.f64 (-.f64 1 (+.f64 (-.f64 -1 (.f64 (-.f64 (.f64 y z) x) -2)) (+.f64 1 (-.f64 x (*.f64 y z))))) -1)
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 y z) (.f64 z (.f64 (pow.f64 y 3) -1/6))))
(+.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (-.f64 (.f64 (cos.f64 y) (.f64 x 1/2)) (*.f64 y z)))

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

Calls

4 calls:

14.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
11.0ms	z
11.0ms	x
10.0ms	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 212 to 111 computations (47.6% saved)

regimes283.0ms (1.7%)

Counts

17 → 3

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (neg.f64 x)) -1)
(+.f64 (-.f64 1 (*.f64 y z)) -1)
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/4) (.f64 y z)) (.f64 x 1/4)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/2) (+.f64 (*.f64 y z) -1)) -1))
(+.f64 (-.f64 1 (+.f64 (-.f64 -1 (.f64 (-.f64 (.f64 y z) x) -2)) (+.f64 1 (-.f64 x (*.f64 y z))))) -1)
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(+.f64 (.f64 z (neg.f64 y)) (.f64 z (*.f64 1/6 (pow.f64 y 3))))

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

Calls

3 calls:

220.0ms	x
34.0ms	y
25.0ms	z

Results

Error	Segments	Branch
6.9b	3	`x`
11.2b	4	`y`
8.2b	3	`z`

Compiler

Compiled 158 to 87 computations (44.9% saved)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	8.478496100007928e+70	3.4829408182109826e+72
34.0ms	-1.2102920610788774e+58	-1.793936314357886e+55

Results

28.0ms	55×	body	1024	valid
25.0ms	162×	body	256	valid
8.0ms	23×	body	512	valid

Compiler

Compiled 288 to 208 computations (27.8% saved)

regimes135.0ms (0.8%)

Counts

14 → 4

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (neg.f64 x)) -1)
(+.f64 (-.f64 1 (*.f64 y z)) -1)
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/4) (.f64 y z)) (.f64 x 1/4)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/2) (+.f64 (*.f64 y z) -1)) -1))
(+.f64 (-.f64 1 (+.f64 (-.f64 -1 (.f64 (-.f64 (.f64 y z) x) -2)) (+.f64 1 (-.f64 x (*.f64 y z))))) -1)
(*.f64 (cos.f64 y) x)
(*.f64 z (neg.f64 (sin.f64 y)))

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

Calls

3 calls:

66.0ms	z
36.0ms	y
30.0ms	x

Results

Error	Segments	Branch
14.3b	3	`x`
13.5b	4	`y`
14.5b	7	`z`

Compiler

Compiled 132 to 77 computations (41.7% saved)

bsearch91.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
20.0ms	1.969592726353809e-11	1.8181478503177607e-9
20.0ms	-1.8378045173420437e-6	-2.2976810138158545e-8
51.0ms	-1.0206848461658215e+235	-3.6541444065902934e+233

Results

49.0ms	112×	body	1024	valid
37.0ms	224×	body	256	valid

Compiler

Compiled 473 to 356 computations (24.7% saved)

regimes85.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (neg.f64 x)) -1)
(+.f64 (-.f64 1 (*.f64 y z)) -1)
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/4) (.f64 y z)) (.f64 x 1/4)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/2) (+.f64 (*.f64 y z) -1)) -1))
(+.f64 (-.f64 1 (+.f64 (-.f64 -1 (.f64 (-.f64 (.f64 y z) x) -2)) (+.f64 1 (-.f64 x (*.f64 y z))))) -1)
(*.f64 (cos.f64 y) x)

Outputs
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(*.f64 (cos.f64 y) x)

Calls

3 calls:

28.0ms	z
27.0ms	x
26.0ms	y

Results

Error	Segments	Branch
20.9b	3	`x`
16.0b	3	`y`
20.0b	3	`z`

Compiler

Compiled 127 to 74 computations (41.7% saved)

bsearch59.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.0039173316697335e-5	97.95187024708707
34.0ms	-1527413401876417300.0	-1.8378045173420437e-6

Results

55.0ms

320×

body

256

valid

Compiler

Compiled 478 to 353 computations (26.2% saved)

regimes25.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (neg.f64 x)) -1)
(+.f64 (-.f64 1 (*.f64 y z)) -1)
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(+.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) -1)
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/4) (.f64 y z)) (.f64 x 1/4)))
(+.f64 (.f64 x 1/2) (+.f64 (-.f64 (.f64 x 1/2) (+.f64 (*.f64 y z) -1)) -1))
(+.f64 (-.f64 1 (+.f64 (-.f64 -1 (.f64 (-.f64 (.f64 y z) x) -2)) (+.f64 1 (-.f64 x (*.f64 y z))))) -1)

Outputs
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))

Calls

3 calls:

8.0ms	z
7.0ms	x
7.0ms	y

Results

Error	Segments	Branch
30.4b	1	`x`
30.4b	1	`y`
30.4b	1	`z`

Compiler

Compiled 123 to 72 computations (41.5% saved)

regimes19.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
6.0ms	x
5.0ms	y

Results

Error	Segments	Branch
30.4b	1	`x`
30.4b	1	`y`
30.4b	1	`z`

Compiler

Compiled 61 to 36 computations (41% saved)

regimes34.0ms (0.2%)

Accuracy

Total -26.5b remaining (-74.5%)

Threshold costs -26.5b (-74.5%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
11.0ms	z
9.0ms	y

Results

Error	Segments	Branch
36.2b	5	`x`
37.8b	3	`y`
35.6b	4	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch95.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
36.0ms	1.6737048060993788e+259	1.0220975247887561e+268
21.0ms	9.747230683641986e+120	3.404469617331126e+121
37.0ms	-9.56363986477895e+176	-1.1818280691353857e+175

Results

44.0ms	82×	body	1024	valid
33.0ms	209×	body	256	valid
13.0ms	45×	body	512	valid

Compiler

Compiled 291 to 223 computations (23.4% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	350

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -35000000000000001038792079556176217163814573337173032960) (.f64 (cos.f64 y) x) (if (<=.f64 x 89999999999999998865351570008186869562518561116641057902943303075102720) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -4299999999999999776771651156121691341237159914614935282326872488176469405241322267644838987488441125941232963942580685060410211683923618665735264472336222046732149112942339081856018156783438997810117828084969233099654363531729570889728) (.f64 (cos.f64 y) x) (if (<=.f64 y -8500259669165361/4722366482869645213696) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 4352132950612665/2417851639229258349412352) (+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 y z))) (.f64 z (neg.f64 (sin.f64 y))))))
(if (<=.f64 y -6052837899185947/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 6640827866535439/9223372036854775808) (+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 y z))) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -47999999999999999795186839781667806937898443591243653514550702195267133780860729116178856482011555013726263161947305877878706994784757222387314066636792003054569469465155600384) (.f64 z (neg.f64 y)) (if (<=.f64 z 15500000000000000406772076881507465694248010271805801030850607948464823594721657553117635019066385338079827012220971122688) x (if (<=.f64 z 9999999999999999734382248541602273058775185611228237505937125919871459640244446566940444044768686890151491676229963091901658245840231469410183497393091354632481226134593141070740392918115693292196488489075430041978905121877944698963704207935331634934234728920650874880) (.f64 z (neg.f64 y)) x)))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x -35000000000000001038792079556176217163814573337173032960) (.f64 (cos.f64 y) x) (if (<=.f64 x 89999999999999998865351570008186869562518561116641057902943303075102720) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -4299999999999999776771651156121691341237159914614935282326872488176469405241322267644838987488441125941232963942580685060410211683923618665735264472336222046732149112942339081856018156783438997810117828084969233099654363531729570889728) (.f64 (cos.f64 y) x) (if (<=.f64 y -8500259669165361/4722366482869645213696) (.f64 z (neg.f64 (sin.f64 y))) (if (<=.f64 y 4352132950612665/2417851639229258349412352) (+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 y z))) (.f64 z (neg.f64 (sin.f64 y))))))
(if (<=.f64 y -6052837899185947/576460752303423488) (.f64 (cos.f64 y) x) (if (<=.f64 y 6640827866535439/9223372036854775808) (+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 y z))) (*.f64 (cos.f64 y) x)))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -47999999999999999795186839781667806937898443591243653514550702195267133780860729116178856482011555013726263161947305877878706994784757222387314066636792003054569469465155600384) (.f64 z (neg.f64 y)) (if (<=.f64 z 15500000000000000406772076881507465694248010271805801030850607948464823594721657553117635019066385338079827012220971122688) x (if (<=.f64 z 9999999999999999734382248541602273058775185611228237505937125919871459640244446566940444044768686890151491676229963091901658245840231469410183497393091354632481226134593141070740392918115693292196488489075430041978905121877944698963704207935331634934234728920650874880) (.f64 z (neg.f64 y)) x)))
x

Compiler

Compiled 158 to 96 computations (39.2% saved)

soundness0.0ms (0%)

end59.0ms (0.4%)

Compiler: Compiled 137 to 64 computations (53.3% saved)

Details

analyze384.0ms (2.3%)

sample5.8s (35%)

preprocess162.0ms (1%)

simplify183.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series101.0ms (0.6%)

rewrite100.0ms (0.6%)

simplify507.0ms (3.1%)

eval28.0ms (0.2%)

prune24.0ms (0.1%)

localize7.0ms (0%)

series1.0ms (0%)

rewrite94.0ms (0.6%)

simplify251.0ms (1.5%)

localize6.0ms (0%)

series3.0ms (0%)

rewrite219.0ms (1.3%)

simplify335.0ms (2%)

localize7.0ms (0%)

series2.0ms (0%)

rewrite93.0ms (0.6%)

simplify233.0ms (1.4%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite97.0ms (0.6%)

simplify366.0ms (2.2%)

localize24.0ms (0.1%)

series5.0ms (0%)

rewrite162.0ms (1%)

simplify179.0ms (1.1%)

eval90.0ms (0.5%)

prune62.0ms (0.4%)

localize19.0ms (0.1%)

series8.0ms (0%)

rewrite122.0ms (0.7%)

simplify638.0ms (3.9%)

localize4.0ms (0%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite529.0ms (3.2%)

simplify1.3s (7.7%)

localize5.0ms (0%)

series0.0ms (0%)

rewrite115.0ms (0.7%)

simplify381.0ms (2.3%)

localize17.0ms (0.1%)

series2.0ms (0%)

rewrite122.0ms (0.7%)

simplify195.0ms (1.2%)

eval166.0ms (1%)

prune229.0ms (1.4%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite111.0ms (0.7%)

simplify780.0ms (4.7%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite103.0ms (0.6%)

simplify580.0ms (3.5%)

eval161.0ms (1%)

prune408.0ms (2.5%)

regimes51.0ms (0.3%)

regimes283.0ms (1.7%)

bsearch63.0ms (0.4%)

regimes135.0ms (0.8%)

bsearch91.0ms (0.5%)

regimes85.0ms (0.5%)

bsearch59.0ms (0.4%)

regimes25.0ms (0.2%)

regimes19.0ms (0.1%)

regimes34.0ms (0.2%)

bsearch95.0ms (0.6%)

simplify7.0ms (0%)

soundness0.0ms (0%)

end59.0ms (0.4%)

Profiling