Details

analyze246.0ms (1.9%)

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)

sample2.8s (21.3%)

Results

1.2s	2050×	body	1024	valid
1.1s	5147×	body	256	valid
350.0ms	1054×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess17.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

16×	`rational_best-simplify-2`
8×	`rational_best-simplify-1`
6×	`trig-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	46	108
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-2`
2×	`trig-simplify-2`
2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (.f64 z (cos.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 (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.1b	(*.f64 x (sin.f64 y))
✓	0.1b	(*.f64 z (cos.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0%)

Counts

3 → 76

Calls

21 calls:

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

rewrite197.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`rational_best-simplify-44`
746×	`rational_best-5`
744×	`rational_best-4`
744×	`rational_best-2`
744×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	99	49
2	365	49
3	1555	49
4	6912	49

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

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

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

Outputs

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

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

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

simplify197.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

786×	`rational_best-simplify-80`
716×	`rational_best-simplify-78`
708×	`rational_best-simplify-129`
640×	`rational_best-simplify-24`
636×	`rational_best-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	2290
1	249	2290
2	731	2290
3	2610	2290
4	6201	2290

Stop Event

1×	node limit

Counts

114 → 80

Calls

Call 1

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

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

eval100.0ms (0.8%)

Compiler: Compiled 1632 to 589 computations (63.9% saved)

prune17.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Error

0.1b

Counts

81 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.7b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
▶	32.7b	(+.f64 (*.f64 y x) z)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	17.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	34.0b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
	27.4b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
▶	0.3b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))

Compiler

Compiled 236 to 114 computations (51.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	0.3b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))

Compiler

Compiled 91 to 18 computations (80.2% saved)

series131.0ms (1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
125.0ms	x	@	inf	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
1.0ms	x	@	0	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
1.0ms	z	@	0	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
0.0ms	y	@	inf	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
0.0ms	y	@	-inf	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`rational_best-5`
906×	`rational_best-4`
906×	`rational_best-2`
906×	`rational_best-3`
906×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	98
1	123	98
2	438	98
3	1901	98

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs
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simplify463.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1358×	`rational_best-simplify-2`
1118×	`rational_best-simplify-43`
922×	`rational_best-simplify-50`
920×	`rational_best-simplify-49`
788×	`rational_best-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	193	5485
1	397	5393
2	675	5317
3	1870	5311
4	4015	5293
5	7551	5293

Stop Event

1×	node limit

Counts

113 → 98

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize232.0ms (1.8%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 (pow.f64 y 2) z))
✓	2.3b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
✓	7.8b	(*.f64 (pow.f64 y 2) z)

Compiler

Compiled 44 to 23 computations (47.7% saved)

series5.0ms (0%)

Counts

3 → 21

Calls

21 calls:

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

rewrite123.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational_best-simplify-57`
954×	`rational_best-simplify-44`
704×	`rational_best-5`
702×	`rational_best-4`
702×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	113	69
2	363	69
3	1502	69
4	6893	69

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

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

Outputs

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

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

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

simplify363.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational_best-simplify-80`
1288×	`rational_best-simplify-78`
1226×	`rational_best-simplify-94`
1184×	`rational_best-simplify-24`
1122×	`rational_best-simplify-135`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	1696
1	175	1688
2	680	1688
3	3630	1688
4	7512	1688

Stop Event

1×	node limit

Counts

60 → 71

Calls

Call 1

Inputs
z
(+.f64 (*.f64 y x) z)
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y x))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(.f64 (+.f64 1 (.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (.f64 y x) (.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(.f64 -1 (.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (-.f64 (.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(*.f64 y x)
(*.f64 y x)
(+.f64 (*.f64 (pow.f64 y 2) z) 0)
(+.f64 0 (*.f64 (pow.f64 y 2) z))
(-.f64 (*.f64 (pow.f64 y 2) z) 0)
(-.f64 0 (*.f64 (pow.f64 y 2) (neg.f64 z)))
(/.f64 (*.f64 (pow.f64 y 2) z) 1)
(/.f64 (.f64 (pow.f64 y 2) z) (/.f64 (.f64 (pow.f64 y 2) z) (*.f64 (pow.f64 y 2) z)))
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) z)) 2)
(pow.f64 (*.f64 (pow.f64 y 2) z) 1)
(neg.f64 (*.f64 (pow.f64 y 2) (neg.f64 z)))
(-.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (*.f64 y x))) 0)
(-.f64 0 (neg.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (*.f64 y x)))))
(.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) 1)
(.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (/.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x)))))
(.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (/.f64 1 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (*.f64 y x))))))
(.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (/.f64 1 (/.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))))))
(.f64 1 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))))
(.f64 (/.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x)))) (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))))
(.f64 (/.f64 1 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x)))) (.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (*.f64 y x)))))
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Outputs
z
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(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 z (pow.f64 y 2)))
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(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y x))
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(+.f64 z (+.f64 (.f64 y x) (.f64 z (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 z (.f64 y x)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(/.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (/.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x))) (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (*.f64 y x)))))
(+.f64 z (+.f64 (.f64 y x) (.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 z (+.f64 (.f64 y x) (.f64 z (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 z (.f64 y x)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(/.f64 (.f64 2 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (.f64 y x)))) 2)
(+.f64 z (+.f64 (.f64 y x) (.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 z (+.f64 (.f64 y x) (.f64 z (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 z (.f64 y x)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(pow.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (*.f64 y x))) 1)
(+.f64 z (+.f64 (.f64 y x) (.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 z (+.f64 (.f64 y x) (.f64 z (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 z (.f64 y x)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(neg.f64 (neg.f64 (+.f64 z (+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (*.f64 y x)))))
(+.f64 z (+.f64 (.f64 y x) (.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 z (+.f64 (.f64 y x) (.f64 z (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 z (.f64 y x)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) 0)
(.f64 -1/2 (.f64 z (pow.f64 y 2)))
(.f64 z (.f64 -1/2 (pow.f64 y 2)))
(+.f64 0 (.f64 (pow.f64 y 2) (.f64 z -1/2)))
(.f64 -1/2 (.f64 z (pow.f64 y 2)))
(.f64 z (.f64 -1/2 (pow.f64 y 2)))
(-.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) 0)
(.f64 -1/2 (.f64 z (pow.f64 y 2)))
(.f64 z (.f64 -1/2 (pow.f64 y 2)))
(-.f64 0 (/.f64 (*.f64 (pow.f64 y 2) z) 2))
(neg.f64 (/.f64 (*.f64 z (pow.f64 y 2)) 2))
(/.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) 1)
(.f64 -1/2 (.f64 z (pow.f64 y 2)))
(.f64 z (.f64 -1/2 (pow.f64 y 2)))
(/.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) (/.f64 (.f64 (pow.f64 y 2) z) (.f64 (pow.f64 y 2) z)))
(/.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) (/.f64 (.f64 z (pow.f64 y 2)) (.f64 z (pow.f64 y 2))))
(.f64 (/.f64 -1/2 (.f64 z (pow.f64 y 2))) (.f64 (.f64 z (pow.f64 y 2)) (*.f64 z (pow.f64 y 2))))
(.f64 (.f64 z (.f64 -1/2 (pow.f64 y 2))) (/.f64 (.f64 z (pow.f64 y 2)) (*.f64 z (pow.f64 y 2))))
(.f64 (/.f64 (.f64 z (pow.f64 y 2)) (.f64 z (pow.f64 y 2))) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(/.f64 (*.f64 (pow.f64 y 2) (neg.f64 z)) 2)
(pow.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) 1)
(.f64 -1/2 (.f64 z (pow.f64 y 2)))
(.f64 z (.f64 -1/2 (pow.f64 y 2)))
(neg.f64 (/.f64 (*.f64 (pow.f64 y 2) z) 2))
(neg.f64 (/.f64 (*.f64 z (pow.f64 y 2)) 2))

eval409.0ms (3.1%)

Compiler: Compiled 13541 to 4693 computations (65.3% saved)

prune299.0ms (2.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	355	6	361
Fresh	0	1	1
Picked	1	0	1
Done	1	4	5
Total	357	11	368

Error

0.1b

Counts

368 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.7b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
✓	32.7b	(+.f64 (*.f64 y x) z)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	17.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	27.4b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
▶	42.4b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 (sin.f64 y) x))))
▶	21.8b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 (cos.f64 y) z))))
	26.4b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
▶	62.7b	(.f64 z (.f64 -1/2 (pow.f64 y 2)))
▶	55.9b	(*.f64 y x)
	38.1b	z

Compiler

Compiled 380 to 169 computations (55.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (*.f64 (cos.f64 y) z))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.1b	(*.f64 (cos.f64 y) z)
✓	0.3b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 (cos.f64 y) z)))

Compiler

Compiled 80 to 19 computations (76.3% saved)

series123.0ms (0.9%)

Counts

3 → 72

Calls

21 calls:

Time	Variable		Point	Expression
117.0ms	x	@	inf	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 (cos.f64 y) z)))
1.0ms	z	@	0	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 (cos.f64 y) z)))
1.0ms	z	@	-inf	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 (cos.f64 y) z)))
1.0ms	y	@	inf	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 (cos.f64 y) z)))
0.0ms	y	@	-inf	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 (cos.f64 y) z)))

rewrite122.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`rational_best-5`
860×	`rational_best-4`
860×	`rational_best-2`
860×	`rational_best-3`
860×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	130	77
2	428	77
3	1798	77
4	7414	77

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

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

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

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

simplify193.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1044×	`rational_best-simplify-2`
1022×	`rational_best-simplify-49`
966×	`rational_best-simplify-57`
834×	`rational_best-simplify-80`
808×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	2860
1	267	2806
2	481	2788
3	1457	2788
4	2977	2788
5	5705	2788

Stop Event

1×	node limit

Counts

108 → 83

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
1
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
1
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
1
(+.f64 (/.f64 (*.f64 y x) z) 1)
(+.f64 (/.f64 (.f64 y x) z) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 (/.f64 x z)) (.f64 -1/2 (/.f64 x z)))) 1))
(+.f64 (/.f64 (.f64 y x) z) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 (/.f64 x z)) (.f64 -1/2 (/.f64 x z)))) (+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 x z)) (+.f64 (.f64 -1/2 (-.f64 (.f64 -1/6 (/.f64 x z)) (.f64 -1/2 (/.f64 x z)))) (.f64 1/24 (/.f64 x z)))) (pow.f64 y 5)) 1)))
(/.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
1
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))
(/.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(+.f64 1 (/.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(/.f64 1 z)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (.f64 5/24 (/.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 61/720 (/.f64 (pow.f64 y 6) z)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 2) z)) (+.f64 (/.f64 1 z) (*.f64 5/24 (/.f64 (pow.f64 y 4) z)))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(/.f64 1 (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))))
(-.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))) 0)
(-.f64 0 (neg.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 z (cos.f64 y))))))
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))) 1)
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(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (/.f64 1 (*.f64 z (cos.f64 y))) 2)) 2)
(pow.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))) 1)
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(/.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y))))
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(pow.f64 (*.f64 z (cos.f64 y)) 1)
(neg.f64 (neg.f64 (*.f64 z (cos.f64 y))))
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(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))) (/.f64 1 (.f64 z (cos.f64 y)))) (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (*.f64 z (cos.f64 y)))))
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Outputs
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1
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(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 1 (/.f64 1 (.f64 z (cos.f64 y))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1)
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (/.f64 1 (.f64 z (cos.f64 y))) (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (/.f64 1 (*.f64 z (cos.f64 y))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (/.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (/.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))) (/.f64 1 (.f64 z (cos.f64 y))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (/.f64 1 (/.f64 1 (.f64 z (cos.f64 y)))) (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (*.f64 z (cos.f64 y)))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))) (/.f64 1 (/.f64 1 (*.f64 z (cos.f64 y)))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (/.f64 1 (.f64 z (cos.f64 y))))) (/.f64 1 (*.f64 z (cos.f64 y))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (.f64 z (cos.f64 y)))) (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y))))) (.f64 (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))) (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y))))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))) (/.f64 1 (.f64 z (cos.f64 y)))) (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (*.f64 z (cos.f64 y)))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(.f64 (/.f64 (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (/.f64 1 (.f64 z (cos.f64 y))))) (/.f64 1 (.f64 z (cos.f64 y)))) (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (.f64 z (cos.f64 y)))))
(/.f64 1 (*.f64 z (cos.f64 y)))
(pow.f64 (/.f64 1 (*.f64 z (cos.f64 y))) 1)
(/.f64 1 (*.f64 z (cos.f64 y)))
(neg.f64 (neg.f64 (/.f64 1 (*.f64 z (cos.f64 y)))))
(/.f64 1 (*.f64 z (cos.f64 y)))

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 y 2))
✓	7.8b	(.f64 z (.f64 -1/2 (pow.f64 y 2)))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite192.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`rational_best-simplify-57`
780×	`rational_best-simplify-83`
780×	`rational_best-simplify-82`
676×	`rational_best-simplify-44`
570×	`rational_best-simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	76	32
2	240	32
3	978	32
4	4473	32

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

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

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

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational_best-simplify-47`
1352×	`rational_best-simplify-83`
1352×	`rational_best-simplify-82`
1220×	`rational_best-simplify-80`
952×	`rational_best-simplify-78`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	852
1	71	846
2	129	846
3	254	840
4	625	840
5	3256	840
6	6129	840

Stop Event

1×	node limit

Counts

44 → 32

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) 0)
(+.f64 0 (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(-.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) 0)
(-.f64 0 (/.f64 (*.f64 z (pow.f64 y 2)) 2))
(/.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) 1)
(/.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) (/.f64 (.f64 z (pow.f64 y 2)) (.f64 z (pow.f64 y 2))))
(/.f64 (*.f64 z (pow.f64 y 2)) -2)
(/.f64 (neg.f64 (*.f64 z (pow.f64 y 2))) 2)
(pow.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) 1)
(neg.f64 (/.f64 (*.f64 z (pow.f64 y 2)) 2))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 y 2)))
(-.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)
(-.f64 0 (/.f64 (pow.f64 y 2) 2))
(/.f64 (pow.f64 y 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 y 2)) 1)
(/.f64 (*.f64 -1/2 (pow.f64 y 2)) (/.f64 (pow.f64 y 2) (pow.f64 y 2)))
(/.f64 (neg.f64 (pow.f64 y 2)) 2)
(pow.f64 (*.f64 -1/2 (pow.f64 y 2)) 1)
(neg.f64 (/.f64 (pow.f64 y 2) 2))

Outputs
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(+.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) 0)
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(+.f64 0 (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(-.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) 0)
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(-.f64 0 (/.f64 (*.f64 z (pow.f64 y 2)) 2))
(neg.f64 (/.f64 (*.f64 (pow.f64 y 2) z) 2))
(/.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) 1)
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(/.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) (/.f64 (.f64 z (pow.f64 y 2)) (.f64 z (pow.f64 y 2))))
(/.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (/.f64 (.f64 (pow.f64 y 2) z) (.f64 (pow.f64 y 2) z)))
(.f64 z (.f64 (/.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (pow.f64 y 2) (*.f64 (pow.f64 y 2) z))))
(.f64 z (.f64 (.f64 z (pow.f64 (.f64 y y) 2)) (/.f64 -1/2 (*.f64 (pow.f64 y 2) z))))
(.f64 (.f64 z (.f64 z (pow.f64 (.f64 y y) 2))) (/.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
(.f64 z (.f64 z (.f64 (/.f64 -1/2 (.f64 (pow.f64 y 2) z)) (pow.f64 (*.f64 y y) 2))))
(/.f64 (*.f64 z (pow.f64 y 2)) -2)
(/.f64 (*.f64 (pow.f64 y 2) z) -2)
(/.f64 (neg.f64 (*.f64 z (pow.f64 y 2))) 2)
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(pow.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) 1)
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(neg.f64 (/.f64 (*.f64 z (pow.f64 y 2)) 2))
(neg.f64 (/.f64 (*.f64 (pow.f64 y 2) z) 2))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(-.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)
(*.f64 -1/2 (pow.f64 y 2))
(-.f64 0 (/.f64 (pow.f64 y 2) 2))
(neg.f64 (/.f64 (pow.f64 y 2) 2))
(/.f64 (pow.f64 y 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 y 2)) 1)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (*.f64 -1/2 (pow.f64 y 2)) (/.f64 (pow.f64 y 2) (pow.f64 y 2)))
(.f64 (/.f64 -1/2 (pow.f64 y 2)) (pow.f64 (.f64 y y) 2))
(.f64 (pow.f64 (.f64 y y) 2) (/.f64 -1/2 (pow.f64 y 2)))
(/.f64 (neg.f64 (pow.f64 y 2)) 2)
(*.f64 -1/2 (pow.f64 y 2))
(pow.f64 (*.f64 -1/2 (pow.f64 y 2)) 1)
(*.f64 -1/2 (pow.f64 y 2))
(neg.f64 (/.f64 (pow.f64 y 2) 2))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
✓	0.3b	(/.f64 1 (*.f64 (sin.f64 y) x))
✓	1.2b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 (sin.f64 y) x))))
✓	2.6b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 (sin.f64 y) x)))

Compiler

Compiled 80 to 19 computations (76.3% saved)

series13.0ms (0.1%)

Counts

3 → 76

Calls

24 calls:

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

rewrite129.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`rational_best-5`
920×	`rational_best-4`
920×	`rational_best-2`
920×	`rational_best-3`
920×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	147
1	139	147
2	457	147
3	1929	147
4	7967	147

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

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

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

(/.f64 1 (*.f64 (sin.f64 y) x))

Outputs

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

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simplify265.0ms (2%)

Algorithm

1×	egg-herbie

Rules

894×	`rational_best-simplify-2`
844×	`rational_best-simplify-43`
806×	`rational_best-simplify-82`
798×	`rational_best-simplify-49`
798×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	4522
1	271	4462
2	477	4452
3	1362	4450
4	2711	4450
5	5254	4450

Stop Event

1×	node limit

Counts

106 → 98

Calls

Call 1

Inputs
1
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1
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(.f64 (/.f64 1 (/.f64 1 (.f64 x (sin.f64 y)))) (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y)))))
(.f64 (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (/.f64 1 (/.f64 1 (*.f64 x (sin.f64 y)))))
(.f64 (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (/.f64 1 (.f64 x (sin.f64 y))))) (/.f64 1 (*.f64 x (sin.f64 y))))
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(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (/.f64 1 (.f64 x (sin.f64 y)))) (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y)))))
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(pow.f64 (/.f64 1 (*.f64 x (sin.f64 y))) 1)

Outputs
1
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1
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(/.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2) (*.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 2) (*.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2) (*.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 2) (*.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2) (*.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 2) (*.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2) (*.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) 2) (*.f64 (sin.f64 y) x))
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (.f64 2 (.f64 (cos.f64 y) z)))
(+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (sin.f64 y) x)))
(+.f64 (.f64 (.f64 (cos.f64 y) z) 2) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (sin.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 2 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (.f64 z 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (.f64 (cos.f64 y) z) 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 2 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (.f64 z 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (.f64 (cos.f64 y) z) 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 2 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (*.f64 z 2)))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (*.f64 (cos.f64 y) z) 2))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 2 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (.f64 z 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (.f64 (cos.f64 y) z) 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 2 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (.f64 z 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (.f64 (cos.f64 y) z) 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 2 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (*.f64 z 2)))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (*.f64 (cos.f64 y) z) 2))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 2 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (.f64 z 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (.f64 (cos.f64 y) z) 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 2 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (.f64 z 2))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (.f64 (cos.f64 y) z) 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (cos.f64 y) (.f64 z 2)) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (*.f64 (sin.f64 y) x))))
(/.f64 1 (*.f64 y x))
(+.f64 (/.f64 1 (.f64 y x)) (.f64 1/6 (/.f64 y x)))
(+.f64 (/.f64 1 (.f64 y x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) x)) (*.f64 1/6 (/.f64 y x))))
(+.f64 (/.f64 1 (.f64 y x)) (+.f64 (.f64 1/6 (/.f64 y x)) (*.f64 7/360 (/.f64 (pow.f64 y 3) x))))
(+.f64 (+.f64 (/.f64 1 (.f64 y x)) (.f64 1/6 (/.f64 y x))) (*.f64 7/360 (/.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 5) x)) (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) x)) (.f64 1/6 (/.f64 y x)))))
(+.f64 (+.f64 (.f64 1/6 (/.f64 y x)) (.f64 7/360 (/.f64 (pow.f64 y 3) x))) (+.f64 (/.f64 1 (.f64 y x)) (.f64 31/15120 (/.f64 (pow.f64 y 5) x))))
(+.f64 (.f64 1/6 (/.f64 y x)) (+.f64 (+.f64 (/.f64 1 (.f64 y x)) (.f64 7/360 (/.f64 (pow.f64 y 3) x))) (.f64 31/15120 (/.f64 (pow.f64 y 5) x))))
(+.f64 (.f64 1/6 (/.f64 y x)) (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) x)) (.f64 31/15120 (/.f64 (pow.f64 y 5) x)))))
(+.f64 (.f64 1/6 (/.f64 y x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) x)) (+.f64 (/.f64 1 (.f64 y x)) (.f64 31/15120 (/.f64 (pow.f64 y 5) x)))))
(+.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) 0)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (.f64 (sin.f64 y) x)))
(+.f64 0 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (.f64 (sin.f64 y) x)))
(-.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) 0)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (.f64 (sin.f64 y) x)))
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) 1)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (.f64 (sin.f64 y) x)))
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y))))))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (.f64 (sin.f64 y) x)))
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (/.f64 1 (*.f64 x (sin.f64 y))) 2)) 2)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (.f64 (sin.f64 y) x)))
(pow.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) 1)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (.f64 (sin.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y))))) 0)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(+.f64 0 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y))))))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(-.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y))))) 0)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y))))) 1)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y))))) (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y))))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y)))))))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (/.f64 1 (.f64 x (sin.f64 y))) 2))) 2)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(pow.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y))))) 1)
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(+.f64 (/.f64 1 (*.f64 x (sin.f64 y))) 0)
(/.f64 1 (*.f64 (sin.f64 y) x))
(+.f64 0 (/.f64 1 (*.f64 x (sin.f64 y))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(-.f64 (/.f64 1 (*.f64 x (sin.f64 y))) 0)
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 1 (/.f64 1 (.f64 x (sin.f64 y))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (/.f64 1 (.f64 x (sin.f64 y))) 1)
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (/.f64 1 (.f64 x (sin.f64 y))) (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (/.f64 1 (*.f64 x (sin.f64 y))))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (/.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y))))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (/.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (/.f64 1 (.f64 x (sin.f64 y))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (/.f64 1 (/.f64 1 (.f64 x (sin.f64 y)))) (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y)))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (/.f64 1 (/.f64 1 (*.f64 x (sin.f64 y)))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (/.f64 1 (.f64 x (sin.f64 y))))) (/.f64 1 (*.f64 x (sin.f64 y))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (.f64 x (sin.f64 y)))) (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y))))) (.f64 (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y))))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (/.f64 (/.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))) (/.f64 1 (.f64 x (sin.f64 y)))) (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 x (sin.f64 y)))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(.f64 (/.f64 (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (/.f64 1 (.f64 x (sin.f64 y))))) (/.f64 1 (.f64 x (sin.f64 y)))) (.f64 (/.f64 1 (.f64 x (sin.f64 y))) (/.f64 1 (.f64 x (sin.f64 y)))))
(/.f64 1 (*.f64 (sin.f64 y) x))
(pow.f64 (/.f64 1 (*.f64 x (sin.f64 y))) 1)
(/.f64 1 (*.f64 (sin.f64 y) x))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.2b	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	0.2b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
✓	25.8b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))

Compiler

Compiled 89 to 15 computations (83.1% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`rational_best-simplify-47`
1016×	`rational_best-5`
1014×	`rational_best-4`
1014×	`rational_best-2`
1014×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	135	86
2	471	86
3	2049	86

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs

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

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

Outputs

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simplify236.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

856×	`rational_best-simplify-44`
758×	`rational_best-simplify-132`
720×	`rational_best-simplify-2`
584×	`rational_best-simplify-49`
542×	`rational_best-simplify-83`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	216	6563
1	479	6541
2	1003	6535
3	2905	6365
4	5760	6359

Stop Event

1×	node limit

Counts

129 → 129

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (.f64 2 (.f64 y (*.f64 z x))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (pow.f64 z 2) (.f64 2 (.f64 y (*.f64 z x)))))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 z x)) (.f64 -1 (.f64 z x)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (pow.f64 z 2) (.f64 2 (.f64 y (.f64 z x))))))
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2)
(pow.f64 (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 z (.f64 (cos.f64 y) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x)))) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (+.f64 (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 0)
(+.f64 0 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(-.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 0)
(/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 1)
(/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) 2) 2)
(pow.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 1)
(+.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 0)
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 1)
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2)) 2)
(pow.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 1)
(fabs.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fabs.f64 (neg.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (fabs.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
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(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (neg.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) 2))
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(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (neg.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) 2))
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(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 1 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) 2))
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Outputs
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 z (+.f64 (.f64 y x) (.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
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(+.f64 (.f64 y x) (+.f64 z (.f64 (pow.f64 y 2) (*.f64 z -1/2))))
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(+.f64 (.f64 -1/2 (.f64 z (pow.f64 y 2))) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 x (pow.f64 y 3))))))
(+.f64 (.f64 y x) (+.f64 (+.f64 z (.f64 x (.f64 -1/6 (pow.f64 y 3)))) (.f64 z (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)) (+.f64 z (.f64 -1/2 (.f64 z (pow.f64 y 2)))))
(+.f64 (.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) (+.f64 z (.f64 (pow.f64 y 2) (.f64 z -1/2))))
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(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
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(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
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(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (fabs.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) 2))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) 2))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (neg.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (fabs.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) 2))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (fabs.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) 2))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (neg.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) 2))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) 2))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 1 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 2 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 (.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))))))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (neg.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (/.f64 1 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 2 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 (neg.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (neg.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))))))) 2))
(fabs.f64 (/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (neg.f64 (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 2 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (.f64 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (fabs.f64 (/.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))) (/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))))) 2))
(fabs.f64 (/.f64 (.f64 (.f64 2 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (fabs.f64 (/.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))))) 2))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 2 (.f64 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (fabs.f64 (/.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (/.f64 1 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))))) 2))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (.f64 2 (.f64 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (fabs.f64 (/.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))) (.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))) 2))
(fabs.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (fabs.f64 (/.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))) (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (/.f64 2 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))))) 2))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (neg.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (fabs.f64 (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (/.f64 (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (neg.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) 2) (.f64 (fabs.f64 (+.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) 2))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)) (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (/.f64 (.f64 2 (+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))) (.f64 2 (fabs.f64 (+.f64 (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))))

eval475.0ms (3.6%)

Compiler: Compiled 22508 to 7061 computations (68.6% saved)

prune406.0ms (3.1%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	580	10	590
Fresh	1	1	2
Picked	1	0	1
Done	3	5	8
Total	585	16	601

Error

0.1b

Counts

601 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.7b	(+.f64 (*.f64 y x) z)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	17.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	49.1b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
	40.7b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 (cos.f64 y) z) 2))
▶	40.3b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 x (.f64 z 2)))) (pow.f64 (.f64 (cos.f64 y) z) 2)))
	53.4b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
▶	40.7b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))
	46.2b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
✓	21.8b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 (cos.f64 y) z))))
	40.6b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (/.f64 1 (/.f64 1 (.f64 z (cos.f64 y)))) (.f64 (/.f64 1 (.f64 z (cos.f64 y))) (/.f64 1 (*.f64 z (cos.f64 y)))))))
	42.4b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 z (.f64 x (sin.f64 y))) (/.f64 1 (.f64 (sin.f64 y) x))))
▶	41.6b	(*.f64 (sin.f64 y) x)
▶	21.5b	(*.f64 (cos.f64 y) z)
✓	55.9b	(*.f64 y x)
	38.1b	z

Compiler

Compiled 638 to 327 computations (48.7% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize110.0ms (0.8%)

Local error

Found 1 expressions with local error:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`rational_best-simplify-57`
588×	`rational_best-simplify-49`
574×	`rational_best-simplify-43`
516×	`rational_best-5`
514×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	65	11
2	253	11
3	1057	11
4	4665	11

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

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

simplify145.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1598×	`rational_best-simplify-132`
1370×	`rational_best-simplify-80`
1242×	`rational_best-simplify-78`
1010×	`rational_best-simplify-82`
804×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	282
1	92	282
2	157	258
3	330	246
4	1163	246
5	2945	246
6	5734	246

Stop Event

1×	node limit

Counts

14 → 29

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.2b	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	0.2b	(pow.f64 (*.f64 (sin.f64 y) x) 2)
✓	11.6b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))

Compiler

Compiled 68 to 20 computations (70.6% saved)

series12.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
1.0ms	y	@	inf	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
1.0ms	y	@	0	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
1.0ms	x	@	0	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
1.0ms	z	@	inf	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`rational_best-5`
914×	`rational_best-4`
914×	`rational_best-2`
914×	`rational_best-3`
914×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	144	72
2	456	72
3	1914	72
4	7890	72

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

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

Outputs

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

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

simplify371.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1036×	`rational_best-simplify-78`
1014×	`rational_best-simplify-2`
938×	`rational_best-simplify-80`
766×	`rational_best-simplify-49`
712×	`rational_best-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	185	4209
1	363	4057
2	609	4031
3	1464	4025
4	2855	4017
5	4897	4017

Stop Event

1×	node limit

Counts

85 → 100

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 z (cos.f64 y))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (sin.f64 y) x))))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 z (cos.f64 y)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 z (cos.f64 y)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))))
(/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) z)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 z 2))) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) z))
(+.f64 (.f64 (-.f64 (.f64 -1/3 (/.f64 (pow.f64 x 2) z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (.f64 -1/2 (/.f64 (pow.f64 x 2) z)))) (pow.f64 y 4)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 z 2))) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) z)))
(+.f64 (.f64 (-.f64 (.f64 -1/3 (/.f64 (pow.f64 x 2) z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (.f64 -1/2 (/.f64 (pow.f64 x 2) z)))) (pow.f64 y 4)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 z 2))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) z) (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/3 (/.f64 (pow.f64 x 2) z)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (.f64 -1/2 (/.f64 (pow.f64 x 2) z)))) x) z) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 z 2))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))))))))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (cos.f64 y) z)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (cos.f64 y) z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)) (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)))))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 -1 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 (cos.f64 y) z)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (sin.f64 y) x))))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 -1 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 (cos.f64 y) z)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (sin.f64 y) x))))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) (pow.f64 y 8)) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) 0)
(+.f64 0 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(-.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) 0)
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) 1)
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 2 (pow.f64 (*.f64 x (sin.f64 y)) 2))) 2)
(pow.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) 1)
(+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 0)
(+.f64 0 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 0)
(.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 1 (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 1 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2))))
(.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 x (sin.f64 y)) 2))
(.f64 (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 (.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) 2))
(.f64 (pow.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) 2) (/.f64 1 (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2))) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) 2)) (pow.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y)))) 2))
(.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 (.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) 2))
(.f64 (/.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) 2))
(/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1)
(/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(/.f64 (.f64 2 (pow.f64 (.f64 x (sin.f64 y)) 2)) 2)

Outputs
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 -1 (*.f64 z (cos.f64 y))))
(+.f64 (.f64 (sin.f64 y) x) (neg.f64 (.f64 z (cos.f64 y))))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (neg.f64 z)))
(+.f64 (.f64 (sin.f64 y) x) (.f64 z (neg.f64 (cos.f64 y))))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (.f64 z (cos.f64 y))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (neg.f64 (.f64 z (cos.f64 y)))))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) (neg.f64 z))))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (.f64 z (neg.f64 (cos.f64 y)))))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 z (cos.f64 y))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (.f64 -1 (.f64 z (cos.f64 y))))))
(+.f64 (.f64 -1 (+.f64 (.f64 z (cos.f64 y)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2)))) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (+.f64 (.f64 (sin.f64 y) x) (.f64 -1 (+.f64 (.f64 z (cos.f64 y)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 2))))))
(+.f64 (neg.f64 (+.f64 (.f64 z (cos.f64 y)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2)))) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x))))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 z (cos.f64 y)))
(/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (.f64 -1 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 z (cos.f64 y)) 3)) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 z (cos.f64 y)) 3)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)) (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (.f64 -1 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 z (cos.f64 y)) 3)) (.f64 -1 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 5) (pow.f64 (.f64 z (cos.f64 y)) 4)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)))) (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 5) (pow.f64 (.f64 z (cos.f64 y)) 4))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 z (cos.f64 y)) 3))))
(+.f64 (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 z (cos.f64 y)) 3))) (.f64 -1 (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 5) (pow.f64 (*.f64 z (cos.f64 y)) 4)))))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 z (cos.f64 y)) 3)) (.f64 -1 (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 5) (pow.f64 (*.f64 z (cos.f64 y)) 4))))))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (.f64 z (cos.f64 y)) 3)) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 5) (pow.f64 (.f64 z (cos.f64 y)) 4))))))
(/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 z (cos.f64 y)))
(/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (.f64 -1 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)) (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))))))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z (cos.f64 y))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 3) (pow.f64 (.f64 z (cos.f64 y)) 2))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 4) (pow.f64 (*.f64 z (cos.f64 y)) 3))))
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(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (.f64 z (cos.f64 y))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (neg.f64 (.f64 z (cos.f64 y)))))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) (neg.f64 z))))
(+.f64 (.f64 (sin.f64 y) x) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (.f64 z (neg.f64 (cos.f64 y)))))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (.f64 (cos.f64 y) z)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (+.f64 (.f64 (sin.f64 y) x) (+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (.f64 -1 (.f64 z (cos.f64 y))))))
(+.f64 (.f64 -1 (+.f64 (.f64 z (cos.f64 y)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2)))) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (+.f64 (.f64 (sin.f64 y) x) (.f64 -1 (+.f64 (.f64 z (cos.f64 y)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 2))))))
(+.f64 (neg.f64 (+.f64 (.f64 z (cos.f64 y)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2)))) (+.f64 (.f64 (sin.f64 y) x) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x))))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 (*.f64 x y) 2)
(pow.f64 (*.f64 y x) 2)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (pow.f64 (.f64 x y) 2) (.f64 -1/3 (*.f64 (pow.f64 x 2) (pow.f64 y 4))))
(+.f64 (pow.f64 (.f64 y x) 2) (.f64 -1/3 (*.f64 (pow.f64 x 2) (pow.f64 y 4))))
(.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2)))
(.f64 (pow.f64 x 2) (+.f64 (pow.f64 y 2) (.f64 -1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (pow.f64 (.f64 x y) 2) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x 2) 1/60)) (pow.f64 y 6)) (.f64 -1/3 (.f64 (pow.f64 x 2) (pow.f64 y 4)))))
(+.f64 (pow.f64 (.f64 y x) 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 x 2) (pow.f64 y 4))) (.f64 (*.f64 (pow.f64 x 2) 2/45) (pow.f64 y 6))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))) (.f64 (pow.f64 x 2) (.f64 (pow.f64 y 6) 2/45)))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (pow.f64 y 2) (.f64 -1/3 (pow.f64 y 4)))) (.f64 (pow.f64 x 2) (.f64 (pow.f64 y 6) 2/45)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) (pow.f64 y 8)) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) (pow.f64 y 6)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (pow.f64 (.f64 x y) 2) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/36) (.f64 (pow.f64 x 2) 1/60)) (pow.f64 y 6)) (.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2520) (*.f64 (pow.f64 x 2) -1/360)) (pow.f64 y 8)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 x 2) (pow.f64 y 4))) (+.f64 (pow.f64 (.f64 y x) 2) (+.f64 (.f64 (.f64 (pow.f64 x 2) 2/45) (pow.f64 y 6)) (.f64 (*.f64 (pow.f64 x 2) -1/315) (pow.f64 y 8)))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))) (+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 y 6) 2/45)) (.f64 (.f64 (pow.f64 x 2) -1/315) (pow.f64 y 8))))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 (pow.f64 y 2) (.f64 -1/3 (pow.f64 y 4)))) (+.f64 (.f64 (pow.f64 x 2) (.f64 (pow.f64 y 6) 2/45)) (.f64 (pow.f64 x 2) (.f64 (pow.f64 y 8) -1/315))))
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) 0)
(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
(+.f64 0 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
(-.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) 0)
(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) 1)
(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2))))
(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 2 (pow.f64 (*.f64 x (sin.f64 y)) 2))) 2)
(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
(pow.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 x (sin.f64 y)) 2)) 1)
(.f64 (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (pow.f64 (.f64 (sin.f64 y) x) 2))
(+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 0)
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(+.f64 0 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 0)
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 1 (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 1 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2))))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 x (sin.f64 y)) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 (.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (pow.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) 2) (/.f64 1 (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2))) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) 2)) (pow.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y)))) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 (.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y))) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(.f64 (/.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 2))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (pow.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) 2))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(pow.f64 (*.f64 (sin.f64 y) x) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 x (sin.f64 y)) 2)) 2)
(pow.f64 (*.f64 (sin.f64 y) x) 2)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.2b	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	0.3b	(pow.f64 (cos.f64 y) 2)
✓	20.6b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))

Compiler

Compiled 75 to 29 computations (61.3% saved)

series6.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite161.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`rational_best-5`
1064×	`rational_best-4`
1064×	`rational_best-2`
1064×	`rational_best-3`
1064×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	155	66
2	516	66
3	2213	66

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

Inputs
(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))
(pow.f64 (cos.f64 y) 2)

Outputs

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

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

simplify285.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1324×	`rational_best-simplify-47`
1018×	`rational_best-simplify-78`
878×	`rational_best-simplify-43`
820×	`rational_best-simplify-1`
600×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	175	3335
1	359	3261
2	571	3235
3	1183	3235
4	3609	3221
5	6152	3221

Stop Event

1×	node limit

Counts

65 → 101

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (/.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)) (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 -1 (*.f64 (sin.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 z (cos.f64 y))) (+.f64 (.f64 (cos.f64 y) z) (.f64 -1 (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 -1 (.f64 (sin.f64 y) x)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 -1 (*.f64 (sin.f64 y) x)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 z (cos.f64 y))) (+.f64 (.f64 (cos.f64 y) z) (.f64 -1 (*.f64 (sin.f64 y) x))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 -1 (.f64 (sin.f64 y) x)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 (cos.f64 y) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))))))
z
(+.f64 z (.f64 -1 (.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 -1 z) (+.f64 (.f64 -1/2 z) (.f64 -1 (/.f64 (pow.f64 x 2) z)))) (pow.f64 y 2)) (+.f64 z (.f64 -1 (.f64 y x))))
(+.f64 (.f64 (-.f64 (.f64 -1 z) (+.f64 (.f64 -1/2 z) (.f64 -1 (/.f64 (pow.f64 x 2) z)))) (pow.f64 y 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 x) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 z) (+.f64 (.f64 -1/2 z) (.f64 -1 (/.f64 (pow.f64 x 2) z)))) x) z) (.f64 -1/6 x))) (pow.f64 y 3))) (+.f64 z (.f64 -1 (.f64 y x)))))
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 -1 (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 -1 (.f64 (sin.f64 y) x)) (+.f64 (.f64 z (cos.f64 y)) (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (*.f64 (cos.f64 y) z))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) (.f64 z (cos.f64 y))) (+.f64 (.f64 -1 (.f64 (sin.f64 y) x)) (+.f64 (.f64 z (cos.f64 y)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)))))))
(/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (/.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)) (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))
(/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5)) (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (/.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 0)
(+.f64 0 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(-.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 0)
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1)
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 2 (pow.f64 (*.f64 z (cos.f64 y)) 2))) 2)
(pow.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1)
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 y) 2))
(-.f64 (pow.f64 (cos.f64 y) 2) 0)
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1 (pow.f64 (cos.f64 y) 2))))
(*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2))
(.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2) (/.f64 1 (pow.f64 (cos.f64 y) 2)))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1 (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2)) (.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 2)))
(.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2))
(.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1 (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 2))
(/.f64 (pow.f64 (cos.f64 y) 2) 1)
(/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) 2)

Outputs
(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (/.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)) (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (.f64 (sin.f64 y) x) 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)))))
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(+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 z 5)) (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (.f64 (sin.f64 y) x) 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (.f64 (sin.f64 y) x) 4))) (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 -1 (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (.f64 (sin.f64 y) x) 4)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 2)))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (.f64 -1 (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (*.f64 (sin.f64 y) x) 4))))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (.f64 (sin.f64 y) x) 4))))))
(/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x))
(/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 (sin.f64 y) x))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5)) (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (+.f64 (/.f64 (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 4)) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (.f64 (sin.f64 y) x) 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (.f64 (sin.f64 y) x) 4))) (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2))) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 -1 (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (.f64 (sin.f64 y) x) 4)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) x) 2)))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (.f64 -1 (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (*.f64 (sin.f64 y) x) 4))))))
(+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 4) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (sin.f64 y) x)) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 2)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 5) (pow.f64 (.f64 (sin.f64 y) x) 4))))))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 1 (*.f64 -1 (pow.f64 y 2)))
(+.f64 1 (neg.f64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/3 (pow.f64 y 4)) (neg.f64 (pow.f64 y 2))))
(+.f64 (neg.f64 (pow.f64 y 2)) (+.f64 1 (*.f64 1/3 (pow.f64 y 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 y 2)) (*.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 1/3 (pow.f64 y 4)) (*.f64 -2/45 (pow.f64 y 6)))))
(+.f64 1 (+.f64 (+.f64 (.f64 1/3 (pow.f64 y 4)) (.f64 -2/45 (pow.f64 y 6))) (neg.f64 (pow.f64 y 2))))
(+.f64 (neg.f64 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 1/3 (pow.f64 y 4)) (.f64 -2/45 (pow.f64 y 6)))))
(+.f64 1 (+.f64 (.f64 1/3 (pow.f64 y 4)) (+.f64 (neg.f64 (pow.f64 y 2)) (.f64 -2/45 (pow.f64 y 6)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 0)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(+.f64 0 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(-.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 0)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 2 (pow.f64 (*.f64 z (cos.f64 y)) 2))) 2)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(pow.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(+.f64 0 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(-.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1 (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 y) 2)
(*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2) (/.f64 1 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1 (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2)) (.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 2)))
(pow.f64 (cos.f64 y) 2)
(.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (pow.f64 (cos.f64 y) 2)) (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1 (pow.f64 (cos.f64 y) 2))) (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 2))
(pow.f64 (cos.f64 y) 2)
(/.f64 (pow.f64 (cos.f64 y) 2) 1)
(pow.f64 (cos.f64 y) 2)
(/.f64 (pow.f64 (cos.f64 y) 2) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) 2)
(pow.f64 (cos.f64 y) 2)

localize67.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
✓	1.4b	(+.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 x (.f64 z 2)))) (pow.f64 (*.f64 (cos.f64 y) z) 2))
✓	2.6b	(.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 x (.f64 z 2))))
✓	23.1b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 x (.f64 z 2)))) (pow.f64 (.f64 (cos.f64 y) z) 2)))

Compiler

Compiled 125 to 48 computations (61.6% saved)

series20.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 x (.f64 z 2))))
2.0ms	y	@	inf	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 x (.f64 z 2)))) (pow.f64 (.f64 (cos.f64 y) z) 2)))
2.0ms	y	@	-inf	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 x (.f64 z 2)))) (pow.f64 (.f64 (cos.f64 y) z) 2)))
1.0ms	x	@	inf	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 x (.f64 z 2)))) (pow.f64 (.f64 (cos.f64 y) z) 2)))
1.0ms	x	@	-inf	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 x (.f64 z 2)))) (pow.f64 (.f64 (cos.f64 y) z) 2)))

rewrite139.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational_best-2`
1372×	`rational_best-3`
1372×	`rational_best-1`
1370×	`rational_best-5`
1368×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	181
1	195	181
2	653	181
3	2863	181

Stop Event

1×	node limit

Counts

3 → 29

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (+.f64 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) (*.f64 x (*.f64 z 2)))) (pow.f64 (*.f64 (cos.f64 y) z) 2)))

(*.f64 (sin.f64 y) (*.f64 (cos.f64 y) (*.f64 x (*.f64 z 2))))

(+.f64 (*.f64 (sin.f64 y) (*.f64 (cos.f64 y) (*.f64 x (*.f64 z 2)))) (pow.f64 (*.f64 (cos.f64 y) z) 2))

Outputs

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

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

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

simplify269.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational_best-simplify-47`
876×	`rational_best-simplify-1`
812×	`rational_best-simplify-2`
740×	`rational_best-simplify-78`
670×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	9221
1	580	8713
2	1211	8605
3	3203	8501
4	5496	8501

Stop Event

1×	node limit

Counts

137 → 172

Calls

Call 1

Inputs
(.f64 2 (.f64 z (cos.f64 y)))
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) (.f64 2 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (.f64 2 (.f64 z (cos.f64 y))))
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) (.f64 2 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) (.f64 2 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 z 3) (cos.f64 y))) (.f64 (sin.f64 y) x))) (.f64 2 (*.f64 z (cos.f64 y)))))
(+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) (.f64 2 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 z 4) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) (.f64 2 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) (.f64 2 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (.f64 (pow.f64 z 3) (cos.f64 y))) (.f64 (sin.f64 y) x))) (.f64 2 (*.f64 z (cos.f64 y))))))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (.f64 2 (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)) (.f64 (sin.f64 y) x))
(-.f64 (+.f64 (.f64 2 (.f64 (sin.f64 y) x)) (+.f64 (.f64 (cos.f64 y) z) (.f64 -1 (/.f64 (.f64 (sin.f64 y) (.f64 (-.f64 (.f64 2 (.f64 (sin.f64 y) x)) (.f64 (sin.f64 y) x)) x)) (.f64 (cos.f64 y) z))))) (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 (.f64 2 (.f64 (sin.f64 y) x)) (.f64 (sin.f64 y) x)) (pow.f64 x 2))) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (+.f64 (.f64 2 (.f64 (sin.f64 y) x)) (+.f64 (.f64 (cos.f64 y) z) (.f64 -1 (/.f64 (.f64 (sin.f64 y) (.f64 (-.f64 (.f64 2 (.f64 (sin.f64 y) x)) (.f64 (sin.f64 y) x)) x)) (.f64 (cos.f64 y) z)))))) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (.f64 2 (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)) (.f64 (sin.f64 y) x))
(-.f64 (+.f64 (.f64 2 (.f64 (sin.f64 y) x)) (+.f64 (.f64 (cos.f64 y) z) (.f64 -1 (/.f64 (.f64 (sin.f64 y) (.f64 (-.f64 (.f64 2 (.f64 (sin.f64 y) x)) (.f64 (sin.f64 y) x)) x)) (.f64 (cos.f64 y) z))))) (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 (-.f64 (.f64 2 (.f64 (sin.f64 y) x)) (.f64 (sin.f64 y) x)) (pow.f64 x 2))) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) (+.f64 (.f64 2 (.f64 (sin.f64 y) x)) (+.f64 (.f64 (cos.f64 y) z) (.f64 -1 (/.f64 (.f64 (sin.f64 y) (.f64 (-.f64 (.f64 2 (.f64 (sin.f64 y) x)) (.f64 (sin.f64 y) x)) x)) (.f64 (cos.f64 y) z)))))) (*.f64 (sin.f64 y) x))
z
(+.f64 (.f64 y (-.f64 (.f64 2 x) x)) z)
(+.f64 (.f64 y (-.f64 (.f64 2 x) x)) (+.f64 z (.f64 (-.f64 (.f64 -1 z) (+.f64 (.f64 -1/2 z) (/.f64 (.f64 x (-.f64 (*.f64 2 x) x)) z))) (pow.f64 y 2))))
(+.f64 (.f64 y (-.f64 (.f64 2 x) x)) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 z x)) (.f64 -1/6 (.f64 z x))) z)) (+.f64 (.f64 -1/2 (-.f64 (.f64 2 x) x)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 z) (+.f64 (.f64 -1/2 z) (/.f64 (.f64 x (-.f64 (.f64 2 x) x)) z))) x) z) (.f64 -1/6 x))))) (+.f64 z (.f64 (-.f64 (.f64 -1 z) (+.f64 (.f64 -1/2 z) (/.f64 (.f64 x (-.f64 (*.f64 2 x) x)) z))) (pow.f64 y 2)))))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))))) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))))) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))))) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))))) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))))) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))))) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))))) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))))) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (-.f64 (*.f64 2 (sin.f64 y)) (sin.f64 y)) x))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 (sin.f64 y)) (sin.f64 y)) (.f64 (sin.f64 y) (pow.f64 x 2))) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 2 (sin.f64 y)) (sin.f64 y)) x)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 2 (sin.f64 y)) (sin.f64 y)) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3))) (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 (sin.f64 y)) (sin.f64 y)) (.f64 (sin.f64 y) (pow.f64 x 2))) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 2 (sin.f64 y)) (sin.f64 y)) x))))
(.f64 2 (.f64 z (cos.f64 y)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x)) (.f64 2 (.f64 z (cos.f64 y)))) (.f64 2 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (sin.f64 y) x))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)) (.f64 2 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)))))) (.f64 (sin.f64 y) (pow.f64 x 2)))) (.f64 2 (.f64 z (cos.f64 y))))) (.f64 2 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (.f64 (sin.f64 y) x)) (+.f64 (.f64 -1 (/.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)) (.f64 2 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)))))) (.f64 (sin.f64 y) (pow.f64 x 2)))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (sin.f64 y)) (.f64 2 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)))) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3))) (.f64 2 (.f64 z (cos.f64 y)))))) (.f64 2 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (.f64 (sin.f64 y) x))))
(.f64 2 (.f64 z (cos.f64 y)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y))) (.f64 -2 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)) (sin.f64 y)))) x)) (.f64 2 (*.f64 z (cos.f64 y))))
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(.f64 2 (.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) x))))
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(*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))
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(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) 1)
(/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
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(pow.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) 1)
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(/.f64 (.f64 (cos.f64 y) (.f64 (.f64 x (sin.f64 y)) (.f64 z 4))) 2)
(pow.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) 1)
(-.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 0)
(.f64 1 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1)
(.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))))
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(pow.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1)

Outputs
(.f64 2 (.f64 z (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 2 z))
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) (.f64 2 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)) (.f64 2 (.f64 z (cos.f64 y))))
(+.f64 (.f64 2 (.f64 z (cos.f64 y))) (.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)) (.f64 2 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (sin.f64 y) x)))) (pow.f64 z 2)))
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(.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (.f64 2 x)))
(.f64 2 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))
(.f64 2 (.f64 (sin.f64 y) (.f64 z (.f64 (cos.f64 y) x))))
(-.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 0)
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 1 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) 1)
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 (.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) (/.f64 1 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 (.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)))) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)))) (.f64 (.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1)
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(/.f64 (.f64 2 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) 2)
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))
(pow.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1)
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (*.f64 2 x))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y))))))
(+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 2 (.f64 (sin.f64 y) (.f64 z (*.f64 (cos.f64 y) x)))))

eval861.0ms (6.6%)

Compiler: Compiled 26247 to 12825 computations (51.1% saved)

prune361.0ms (2.8%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	669	7	676
Fresh	2	4	6
Picked	1	0	1
Done	2	7	9
Total	674	18	692

Error

0.1b

Counts

692 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	40.6b	(/.f64 (.f64 (pow.f64 z 2) (pow.f64 (cos.f64 y) 2)) (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
	0.1b	(-.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) (.f64 2 x))) (.f64 (sin.f64 y) x))
✓	32.7b	(+.f64 (*.f64 y x) z)
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	17.9b	(+.f64 (*.f64 x (sin.f64 y)) z)
	39.1b	(+.f64 z (*.f64 y (neg.f64 x)))
	40.7b	(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (/.f64 1 (+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
	53.4b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))
	53.0b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (/.f64 1 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 z (.f64 (cos.f64 y) 2))) (pow.f64 (.f64 z (cos.f64 y)) 2)))))
	46.2b	(.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (fabs.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 1 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
	49.5b	(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) 2))
	40.8b	(.f64 (/.f64 1 (.f64 (cos.f64 y) z)) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2)))
✓	21.8b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (/.f64 1 (*.f64 (cos.f64 y) z))))
	42.4b	(.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (.f64 (+.f64 z (.f64 x (sin.f64 y))) (/.f64 1 (.f64 (sin.f64 y) x))))
✓	41.6b	(*.f64 (sin.f64 y) x)
✓	21.5b	(*.f64 (cos.f64 y) z)
✓	55.9b	(*.f64 y x)
	38.1b	z

Compiler

Compiled 387 to 203 computations (47.5% saved)

regimes146.0ms (1.1%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

4 calls:

91.0ms	z
16.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
15.0ms	y
14.0ms	x

Results

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

Compiler

Compiled 661 to 198 computations (70% saved)

regimes271.0ms (2.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	y
23.0ms	x
23.0ms	z

Results

Error	Segments	Branch
7.8b	3	`x`
10.7b	6	`y`
8.4b	3	`z`

Compiler

Compiled 72 to 36 computations (50% saved)

bsearch185.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
110.0ms	4.651951025253401e-153	5.29813737750234e-141
75.0ms	-1.3123691304915317e-48	-2.8819447528059483e-53

Results

91.0ms	189×	body	256	valid
52.0ms	28×	body	512	valid
36.0ms	68×	body	1024	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

regimes212.0ms (1.6%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

3 calls:

163.0ms	z
35.0ms	y
13.0ms	x

Results

Error	Segments	Branch
14.1b	3	`x`
11.2b	7	`y`
13.0b	5	`z`

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch639.0ms (4.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
153.0ms	1.1001221364407784e+218	4.833174870972506e+218
28.0ms	1.0023241212246428e+45	4.7716085407061405e+50
34.0ms	9.12250537120258e-8	580.4594411999842
26.0ms	-594.5758133733862	-1.5661209572196382
254.0ms	-2.1649322813799606e+182	-3.77383130752533e+176
144.0ms	-3.4858380867732087e+249	-3.0759851619441533e+233

Results

545.0ms	400×	body	1024	valid
83.0ms	432×	body	256	valid

Compiler

Compiled 868 to 637 computations (26.6% saved)

regimes39.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
13.0ms	z
12.0ms	x

Results

Error	Segments	Branch
17.8b	3	`x`
15.2b	3	`y`
18.2b	3	`z`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.321023951590158e-34	1.9605607034924874e-25
25.0ms	-594.5758133733862	-1.5661209572196382

Results

48.0ms

272×

body

256

valid

Compiler

Compiled 307 to 217 computations (29.3% saved)

regimes16.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
32.7b	1	`x`
32.7b	1	`y`
32.7b	1	`z`

Compiler

Compiled 30 to 17 computations (43.3% saved)

regimes84.0ms (0.6%)

Accuracy

Total -26.5b remaining (-74.4%)

Threshold costs -26.5b (-74.4%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

62.0ms	x
19.0ms	z
3.0ms	y

Results

Error	Segments	Branch
36.6b	2	`x`
38.1b	1	`y`
35.7b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch155.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.1122043645288167e-145	9.234205596525462e-143
119.0ms	-4.923819432717301e-186	-2.1272639767583917e-186

Results

26.0ms	144×	body	256	valid
17.0ms	39×	body	1024	valid
7.0ms	24×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 174 to 130 computations (25.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	317

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -5607668906767333/107839786668602559178668060348078522694548577690162289924414440996864) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 8924236958169793/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -41000000000000001497163559958425611357224785550064629838567510842821823354728496994262263368980359141758367721096342877466897593896826056043405482071931968906595173655297807989840500201493613854284195892953268725957652423238759110193461592064) (.f64 (cos.f64 y) z) (if (<=.f64 y -75000000000000004839839904542879669740658064307716877327376968374551856993765214917203632495030886776234037091671388135144146096319216787976778671492093496842743463413322865602199552) (.f64 (sin.f64 y) x) (if (<=.f64 y -889460926405673/562949953421312) (.f64 (cos.f64 y) z) (if (<=.f64 y 1936908127739503/4611686018427387904) (+.f64 (.f64 y x) z) (if (<=.f64 y 2300000000000000123663149807783383142598967296) (.f64 (sin.f64 y) x) (if (<=.f64 y 335000000000000003195875541034965013215071689020725834874884223559401639593265538874874847199090621142381093914424066882378719258758245118377209980414137724264516031522835801013442141775117037206719548169703602843025408) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))))
(if (<=.f64 y -889460926405673/562949953421312) (.f64 (cos.f64 y) z) (if (<=.f64 y 8275667163517223/43556142965880123323311949751266331066368) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -704214475906993/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) z (if (<=.f64 z 8154281252609543/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (*.f64 y x) z))
z

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -5607668906767333/107839786668602559178668060348078522694548577690162289924414440996864) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 8924236958169793/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -41000000000000001497163559958425611357224785550064629838567510842821823354728496994262263368980359141758367721096342877466897593896826056043405482071931968906595173655297807989840500201493613854284195892953268725957652423238759110193461592064) (.f64 (cos.f64 y) z) (if (<=.f64 y -75000000000000004839839904542879669740658064307716877327376968374551856993765214917203632495030886776234037091671388135144146096319216787976778671492093496842743463413322865602199552) (.f64 (sin.f64 y) x) (if (<=.f64 y -889460926405673/562949953421312) (.f64 (cos.f64 y) z) (if (<=.f64 y 1936908127739503/4611686018427387904) (+.f64 (.f64 y x) z) (if (<=.f64 y 2300000000000000123663149807783383142598967296) (.f64 (sin.f64 y) x) (if (<=.f64 y 335000000000000003195875541034965013215071689020725834874884223559401639593265538874874847199090621142381093914424066882378719258758245118377209980414137724264516031522835801013442141775117037206719548169703602843025408) (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))))
(if (<=.f64 y -889460926405673/562949953421312) (.f64 (cos.f64 y) z) (if (<=.f64 y 8275667163517223/43556142965880123323311949751266331066368) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -704214475906993/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) z (if (<=.f64 z 8154281252609543/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (*.f64 y x) z))
z

Compiler

Compiled 147 to 80 computations (45.6% saved)

soundness0.0ms (0%)

end64.0ms (0.5%)

Compiler: Compiled 129 to 49 computations (62% saved)

Details

analyze246.0ms (1.9%)

sample2.8s (21.3%)

preprocess17.0ms (0.1%)

simplify14.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series6.0ms (0%)

rewrite197.0ms (1.5%)

simplify197.0ms (1.5%)

eval100.0ms (0.8%)

prune17.0ms (0.1%)

localize19.0ms (0.1%)

series131.0ms (1%)

rewrite64.0ms (0.5%)

simplify463.0ms (3.5%)

localize5.0ms (0%)

localize8.0ms (0.1%)

localize232.0ms (1.8%)

localize17.0ms (0.1%)

series5.0ms (0%)

rewrite123.0ms (0.9%)

simplify363.0ms (2.8%)

eval409.0ms (3.1%)

prune299.0ms (2.3%)

localize21.0ms (0.2%)

series123.0ms (0.9%)

rewrite122.0ms (0.9%)

simplify193.0ms (1.5%)

localize3.0ms (0%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite192.0ms (1.5%)

simplify105.0ms (0.8%)

localize22.0ms (0.2%)

series13.0ms (0.1%)

rewrite129.0ms (1%)

simplify265.0ms (2%)

localize20.0ms (0.2%)

series3.0ms (0%)

rewrite73.0ms (0.6%)

simplify236.0ms (1.8%)

eval475.0ms (3.6%)

prune406.0ms (3.1%)

localize5.0ms (0%)

localize110.0ms (0.8%)

series0.0ms (0%)

rewrite86.0ms (0.7%)

simplify145.0ms (1.1%)

localize23.0ms (0.2%)

series12.0ms (0.1%)

rewrite125.0ms (1%)

simplify371.0ms (2.8%)

localize30.0ms (0.2%)

series6.0ms (0%)

rewrite161.0ms (1.2%)

simplify285.0ms (2.2%)

localize67.0ms (0.5%)

series20.0ms (0.2%)

rewrite139.0ms (1.1%)

simplify269.0ms (2.1%)

eval861.0ms (6.6%)

prune361.0ms (2.8%)

regimes146.0ms (1.1%)

regimes271.0ms (2.1%)

bsearch185.0ms (1.4%)

regimes212.0ms (1.6%)

bsearch639.0ms (4.9%)

regimes39.0ms (0.3%)

bsearch51.0ms (0.4%)

regimes16.0ms (0.1%)

regimes84.0ms (0.6%)

bsearch155.0ms (1.2%)

simplify6.0ms (0%)

soundness0.0ms (0%)

end64.0ms (0.5%)

Profiling