Details

analyze273.0ms (2.7%)

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)

sample2.3s (23.4%)

Results

1.1s	2107×	body	1024	valid
897.0ms	5115×	body	256	valid
334.0ms	1029×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess54.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

516×	`fma-def_binary64`
380×	`fma-neg_binary64`
132×	`cancel-sign-sub-inv_binary64`
69×	`sub-neg_binary64`
64×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	53	56
2	104	56
3	167	56
4	263	56
5	435	56
6	743	56
7	1136	56
8	1674	56
9	1919	56
10	1945	56
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 (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 y (cos.f64 x)) (.f64 z (sin.f64 x)))
(-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 z)) (.f64 y (sin.f64 z)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

171×	`fma-def_binary64`
87×	`fma-neg_binary64`
37×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
20×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (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

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series13.0ms (0.1%)

Counts

4 → 68

Calls

24 calls:

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

rewrite100.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
391×	`fma-def_binary64`
382×	`exp-prod_binary64`
337×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	198	29
2	2660	29

Stop Event

1×	node limit

Counts

4 → 258

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (sin.f64 y))))) (sqrt.f64 (log.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 z (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (cos.f64 y))))) (sqrt.f64 (log.f64 (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) 1 (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (.f64 z (sin.f64 y))) 2) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (pow.f64 (.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 z (sin.f64 y)) 3)) (fma.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 y))) 2)) (cbrt.f64 (log.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 y)))) (sqrt.f64 (log.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cos.f64 y)) 1) 1))))))

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

479×	`*-commutative_binary64`
430×	`distribute-rgt-neg-in_binary64`
427×	`distribute-lft-out_binary64`
379×	`fma-def_binary64`
330×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	773
1	188	763
2	518	743
3	1670	737
4	3005	737
5	5822	737
6	7687	737

Stop Event

1×	node limit

Counts

326 → 291

Calls

Call 1

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

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

eval68.0ms (0.7%)

Compiler: Compiled 5679 to 1367 computations (75.9% saved)

prune62.0ms (0.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	271	20	291
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	271	21	292

Error

0.0b

Counts

292 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y -1/2)) z)))
	34.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	30.0b	(-.f64 x (*.f64 y z))
▶	36.9b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
▶	0.2b	(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
	14.4b	(-.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 z (sin.f64 y)))
	37.2b	(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))
	0.3b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
	29.0b	(-.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 z (sin.f64 y)))))
	0.4b	(-.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	36.3b	(*.f64 z (neg.f64 (sin.f64 y)))
	13.8b	(-.f64 x (*.f64 z (sin.f64 y)))
	34.4b	(fma.f64 (.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
▶	29.1b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
	27.6b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
	0.2b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
▶	21.8b	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 652 to 420 computations (35.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(expm1.f64 (log1p.f64 (cos.f64 y)))
✓	0.3b	(log1p.f64 (cos.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series129.0ms (1.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
94.0ms	y	@	-inf	(log1p.f64 (cos.f64 y))
32.0ms	y	@	inf	(log1p.f64 (cos.f64 y))
1.0ms	y	@	0	(log1p.f64 (cos.f64 y))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (cos.f64 y)))
0.0ms	y	@	-inf	(expm1.f64 (log1p.f64 (cos.f64 y)))

rewrite112.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
497×	`add-log-exp_binary64`
497×	`expm1-log1p-u_binary64`
496×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	117	14
2	1354	14

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs
(log1p.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (.f64 (+.f64 (cos.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 y) x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 2) (cbrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) (sqrt.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) 1) (+.f64 (+.f64 (cos.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))))

simplify146.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
640×	`distribute-rgt-in_binary64`
629×	`distribute-rgt-out_binary64`
566×	`distribute-lft-out_binary64`
563×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	358
1	109	352
2	274	341
3	857	339
4	3397	339
5	5810	339
6	6152	339
7	6382	339
8	6599	339
9	6872	339
10	7209	339

Stop Event

1×	node limit

Counts

93 → 69

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4)))))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

Outputs
(log.f64 2)
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (log.f64 2))
(fma.f64 -1/4 (*.f64 y y) (log.f64 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) (log.f64 2)) (.f64 -1/96 (pow.f64 y 4)))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) (log.f64 2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/96) -1/4) (log.f64 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/1440 (pow.f64 y 6)) (*.f64 -1/96 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) (log.f64 2)) (fma.f64 -1/1440 (pow.f64 y 6) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) (log.f64 2)) (fma.f64 -1/96 (pow.f64 y 4) (.f64 -1/1440 (pow.f64 y 6))))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/1440 (pow.f64 y 6) (fma.f64 -1/96 (pow.f64 y 4) (log.f64 2))))
(fma.f64 -1/1440 (pow.f64 y 6) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y -1/96) -1/4) (log.f64 2)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)))
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (*.f64 y y) -1/2 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/24) -1/2) 1)
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (*.f64 y y) -1/2 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/24) -1/2) (fma.f64 (pow.f64 y 6) -1/720 1))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 (.f64 y y) -1/2 1) x)
(fma.f64 y (.f64 x (.f64 y -1/2)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 (.f64 y y) -1/2 (*.f64 (pow.f64 y 4) 1/24))))
(.f64 x (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 1)))
(.f64 (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/24) -1/2) 1) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 4) 1/24)))))
(+.f64 x (.f64 x (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 y (.f64 y -1/2) (*.f64 (pow.f64 y 4) 1/24)))))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/24) -1/2) (fma.f64 (pow.f64 y 6) -1/720 1)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	132	7
2	1860	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 x (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 y)))))))

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

101×	`fma-def_binary64`
56×	`fma-neg_binary64`
27×	`cancel-sign-sub-inv_binary64`
17×	`sub-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223

Stop Event

1×

saturated

Counts

73 → 42

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series20.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
0.0ms	x	@	-inf	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
0.0ms	x	@	inf	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
0.0ms	y	@	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
0.0ms	y	@	inf	(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
898×	`add-log-exp_binary64`
898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	179	12
2	2444	12

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 y)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (+.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (fma.f64 x (cos.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 y z)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2)) (fma.f64 x (cos.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 y z) (fma.f64 x (cos.f64 y) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 y z) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 3) (pow.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) 3)) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 z) y (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 z) y (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 z) y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 2) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 y)))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (neg.f64 y)))))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

751×	`distribute-rgt-neg-in_binary64`
648×	`distribute-lft-neg-in_binary64`
523×	`distribute-lft-out_binary64`
386×	`fma-def_binary64`
378×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	415
1	64	388
2	167	385
3	484	384
4	1759	383
5	4487	383

Stop Event

1×	node limit

Counts

85 → 61

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)
✓	35.1b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))

Compiler

Compiled 51 to 14 computations (72.5% saved)

series14.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)
1.0ms	y	@	0	(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)
1.0ms	y	@	-inf	(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)
1.0ms	y	@	inf	(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)
1.0ms	x	@	-inf	(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)

rewrite132.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
433×	`fma-def_binary64`
391×	`pow-prod-down_binary64`
309×	`pow2_binary64`
218×	`pow-to-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	265	31
2	3152	31

Stop Event

1×	node limit

Counts

2 → 244

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
(pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3)

Outputs

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(pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 2) 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simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

411×	`distribute-rgt-neg-in_binary64`
406×	`*-commutative_binary64`
406×	`unswap-sqr_binary64`
382×	`unsub-neg_binary64`
336×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	2319
1	529	2201
2	1935	2069
3	5599	2063

Stop Event

1×	node limit

Counts

316 → 295

Calls

Call 1

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

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)

Compiler

Compiled 50 to 12 computations (76% saved)

series26.0ms (0.3%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
2.0ms	z	@	inf	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
422×	`fma-def_binary64`
374×	`pow-prod-down_binary64`
306×	`pow2_binary64`
212×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	263	30
2	3094	30

Stop Event

1×	node limit

Counts

2 → 229

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 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(sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> 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simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

978×	`fma-def_binary64`
554×	`associate-/r*_binary64`
520×	`associate-/l*_binary64`
456×	`*-commutative_binary64`
340×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1254
1	525	1144
2	2100	1072

Stop Event

1×	node limit

Counts

269 → 269

Calls

Call 1

Inputs
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))) (.f64 -1/8 (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (+.f64 (.f64 -1/6 z) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 2) x)) (.f64 -1/2 x)) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) x)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (.f64 (cos.f64 y) x)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x))) (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (.f64 (cos.f64 y) x)))) (pow.f64 z 2)) (*.f64 (cos.f64 y) x))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (sin.f64 y))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (sin.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (sin.f64 y))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (cos.f64 y) x) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 z (sin.f64 y)))))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (sin.f64 y) 5)))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 x 2)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 z (sin.f64 y)))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 -1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/2 (.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/2 x) (pow.f64 (.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 1 x)))) 2)) z) x)))) (sqrt.f64 (/.f64 1 x)))) (.f64 -1/2 (.f64 (.f64 y z) (sqrt.f64 (/.f64 1 x)))))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (.f64 -1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (.f64 -1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (*.f64 (cos.f64 y) x)))))))
(+.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (.f64 -1/2 (.f64 (.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 y) x))))) (.f64 -1/16 (.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 y) 5) (pow.f64 x 5)))))))))

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

eval443.0ms (4.4%)

Compiler: Compiled 21241 to 6428 computations (69.7% saved)

prune362.0ms (3.6%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	946	22	968
Fresh	12	3	15
Picked	1	0	1
Done	2	3	5
Total	961	28	989

Error

0.0b

Counts

989 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	40.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 y z))
	21.8b	(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
	0.4b	(-.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	14.4b	(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	51.7b	(*.f64 y (neg.f64 z))
✓	30.0b	(-.f64 x (*.f64 y z))
✓	36.9b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
▶	0.3b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
▶	26.3b	(-.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 y z))
	36.3b	(*.f64 (sin.f64 y) (neg.f64 z))
	36.6b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
	42.3b	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
	21.9b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 y z))
	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
▶	43.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	55.5b	(cbrt.f64 (*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3))))
	34.4b	(fma.f64 (.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
	22.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
	13.8b	(-.f64 x (*.f64 z (sin.f64 y)))
	31.1b	(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y -1/2)) z)))
	29.3b	(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 1/4) 2) 2)
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	39.5b	x
	47.6b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
	26.3b	(*.f64 (cos.f64 y) x)
	27.6b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
▶	34.7b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))

Compiler

Compiled 699 to 485 computations (30.6% saved)

localize83.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.1b	(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
✓	51.9b	(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 63 to 11 computations (82.5% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
630×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
616×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	161	28
2	2015	28

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2) (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 2) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))))))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-def_binary64`
524×	`distribute-rgt-in_binary64`
463×	`distribute-lft-in_binary64`
382×	`*-commutative_binary64`
322×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	460
1	232	268
2	722	265
3	4088	256
4	7256	256

Stop Event

1×	node limit

Counts

88 → 60

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (+.f64 (.f64 -1 z) z) y)
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (.f64 (+.f64 (*.f64 -1 z) z) y))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (.f64 -1 z) z) y)))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 -1/5040 z) (.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (*.f64 -1 z) z) y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(.f64 (+.f64 (.f64 -2 z) z) y)
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (.f64 (+.f64 (.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3)))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (.f64 1/3 z)) (pow.f64 y 3)) (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/60 z)) (pow.f64 y 5))))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (.f64 1/3 z)) (pow.f64 y 3)) (+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 1/2520 z) (.f64 -1/5040 z))) (.f64 (+.f64 (.f64 1/120 z) (*.f64 -1/60 z)) (pow.f64 y 5)))))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))

Outputs
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 -1 (.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -1 z) z) y)
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (.f64 (+.f64 (*.f64 -1 z) z) y))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (.f64 -1 z) z) y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/6 z) (.f64 1/6 z))) (+.f64 (.f64 (+.f64 (.f64 -1/5040 z) (.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/120 z)) (pow.f64 y 5)) (.f64 (+.f64 (*.f64 -1 z) z) y))))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(.f64 (.f64 0 (sin.f64 y)) z)
0
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (sin.f64 y)) (.f64 2 (sin.f64 y))) z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(.f64 (+.f64 (.f64 -2 z) z) y)
(*.f64 y (neg.f64 z))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (.f64 (+.f64 (.f64 -1/6 z) (*.f64 1/3 z)) (pow.f64 y 3)))
(fma.f64 (neg.f64 z) y (.f64 (pow.f64 y 3) (.f64 z 1/6)))
(fma.f64 y (neg.f64 z) (.f64 z (.f64 1/6 (pow.f64 y 3))))
(.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 3) 1/6)))
(.f64 z (-.f64 (.f64 (pow.f64 y 3) 1/6) y))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (.f64 1/3 z)) (pow.f64 y 3)) (.f64 (+.f64 (.f64 1/120 z) (.f64 -1/60 z)) (pow.f64 y 5))))
(fma.f64 (neg.f64 z) y (fma.f64 (.f64 z 1/6) (pow.f64 y 3) (.f64 (*.f64 z -1/120) (pow.f64 y 5))))
(fma.f64 y (neg.f64 z) (fma.f64 (pow.f64 y 3) (.f64 z 1/6) (.f64 -1/120 (*.f64 z (pow.f64 y 5)))))
(-.f64 (.f64 z (+.f64 (.f64 (pow.f64 y 3) 1/6) (.f64 -1/120 (pow.f64 y 5)))) (.f64 y z))
(.f64 z (-.f64 (+.f64 (.f64 -1/120 (pow.f64 y 5)) (*.f64 (pow.f64 y 3) 1/6)) y))
(+.f64 (.f64 (+.f64 (.f64 -2 z) z) y) (+.f64 (.f64 (+.f64 (.f64 -1/6 z) (.f64 1/3 z)) (pow.f64 y 3)) (+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 1/2520 z) (.f64 -1/5040 z))) (.f64 (+.f64 (.f64 1/120 z) (*.f64 -1/60 z)) (pow.f64 y 5)))))
(fma.f64 (neg.f64 z) y (fma.f64 (.f64 z 1/6) (pow.f64 y 3) (fma.f64 (pow.f64 y 7) (.f64 z 1/5040) (.f64 (.f64 z -1/120) (pow.f64 y 5)))))
(fma.f64 y (neg.f64 z) (fma.f64 (pow.f64 y 3) (.f64 z 1/6) (fma.f64 (.f64 z -1/120) (pow.f64 y 5) (.f64 z (.f64 1/5040 (pow.f64 y 7))))))
(-.f64 (fma.f64 z (.f64 1/5040 (pow.f64 y 7)) (.f64 z (+.f64 (.f64 (pow.f64 y 3) 1/6) (.f64 -1/120 (pow.f64 y 5))))) (*.f64 y z))
(.f64 z (+.f64 (-.f64 (.f64 (pow.f64 y 3) 1/6) y) (+.f64 (.f64 1/5040 (pow.f64 y 7)) (.f64 -1/120 (pow.f64 y 5)))))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (.f64 -2 (.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (sin.f64 y) (neg.f64 z))

localize8.0ms (0.1%)

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

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
✓	0.0b	(sqrt.f64 (*.f64 (cos.f64 y) x))
✓	0.1b	(*.f64 (cos.f64 y) x)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)

Compiler

Compiled 24 to 9 computations (62.5% saved)

series54.0ms (0.5%)

Counts

3 → 20

Calls

18 calls:

Time	Variable		Point	Expression
38.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
565×	`add-log-exp_binary64`
565×	`log1p-expm1-u_binary64`
565×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	163	20
2	1592	20

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(*.f64 (cos.f64 y) x)
(sqrt.f64 (*.f64 (cos.f64 y) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4)) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) (pow.f64 (*.f64 (cos.f64 y) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

438×	`*-commutative_binary64`
397×	`distribute-rgt-in_binary64`
390×	`distribute-lft-in_binary64`
335×	`distribute-rgt-out_binary64`
333×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	375
1	163	371
2	473	303
3	1962	267
4	5548	267

Stop Event

1×	node limit

Counts

82 → 71

Calls

Call 1

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

Outputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 x (.f64 y (.f64 -1/2 y)) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 -1/2 y))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (pow.f64 y 4) 1/24))))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 x (.f64 y (.f64 -1/2 y)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 -1/2 y))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (fma.f64 -1/720 (pow.f64 y 6) (*.f64 (pow.f64 y 4) 1/24))))
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 (pow.f64 y 4) (.f64 (fma.f64 x 1/24 (.f64 x -1/16)) (.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(fma.f64 (pow.f64 y 4) (.f64 1/2 (.f64 (.f64 x -1/48) (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(fma.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 4) (.f64 1/2 (.f64 x -1/48))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (+.f64 (fma.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 6) (+.f64 (.f64 x -1/720) (.f64 1/4 (-.f64 (.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)))))))))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (.f64 (fma.f64 x -1/720 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 y 6) (fma.f64 (fma.f64 x 1/24 (.f64 x -1/16)) 1/4 (.f64 x -1/720))) (.f64 (pow.f64 y 4) (fma.f64 x 1/24 (*.f64 x -1/16))))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/48)) (.f64 (pow.f64 y 6) (fma.f64 x -1/720 (.f64 -1/4 (*.f64 x 1/48))))))))

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 y z))
✓	0.0b	(sqrt.f64 (cos.f64 y))
✓	0.1b	(*.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2))
✓	0.1b	(pow.f64 (sqrt.f64 (cos.f64 y)) 2)

Compiler

Compiled 38 to 16 computations (57.9% saved)

series12.0ms (0.1%)

Counts

4 → 76

Calls

21 calls:

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

rewrite116.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
401×	`fma-def_binary64`
382×	`exp-prod_binary64`
361×	`pow-prod-down_binary64`
280×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	246	26
2	2876	26

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(*.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2))
(sqrt.f64 (cos.f64 y))
(-.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 y z))

Outputs
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simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

632×	`distribute-lft-out_binary64`
590×	`associate-l_binary64`
581×	`distribute-rgt-out_binary64`
430×	`associate-r_binary64`
408×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	725
1	128	691
2	342	678
3	1084	675
4	3346	675

Stop Event

1×	node limit

Counts

343 → 297

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/2 (.f64 y y) 1) (.f64 1/24 (pow.f64 y 4)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) x)
(fma.f64 (.f64 y y) (.f64 -1/2 x) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(.f64 x (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (+.f64 x (.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))))
(+.f64 x (.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (*.f64 1/24 (pow.f64 y 4))))))
(.f64 x (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/4 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(fma.f64 -1/4 (.f64 y y) (+.f64 1 (.f64 (pow.f64 y 4) -1/96)))
(fma.f64 (*.f64 y y) -1/4 (fma.f64 (pow.f64 y 4) -1/96 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (.f64 (pow.f64 y 6) -19/5760)))
(+.f64 (fma.f64 (.f64 y y) -1/4 1) (fma.f64 (pow.f64 y 4) -1/96 (.f64 (pow.f64 y 6) -19/5760)))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (fma.f64 (pow.f64 y 6) -19/5760 1)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(fma.f64 y (neg.f64 z) x)
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 -1 (.f64 y z) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(-.f64 (.f64 (fma.f64 -1/2 (.f64 y y) 1) x) (*.f64 y z))
(-.f64 (fma.f64 (.f64 y y) (.f64 -1/2 x) x) (*.f64 y z))
(+.f64 x (.f64 y (-.f64 (.f64 -1/2 (*.f64 y x)) z)))
(+.f64 x (.f64 y (fma.f64 -1/2 (.f64 y x) (neg.f64 z))))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1 (.f64 y z) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(+.f64 (.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))) (-.f64 x (.f64 y z)))
(fma.f64 x (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 y (neg.f64 z) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 y 4) 1) (.f64 y (fma.f64 -1/2 (.f64 y x) (neg.f64 z))))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(*.f64 (cos.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (cos.f64 y) x))
(-.f64 (.f64 (cos.f64 y) x) (.f64 y z))
(fma.f64 (cos.f64 y) x (*.f64 y (neg.f64 z)))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 10 computations (73% saved)

series14.0ms (0.1%)

Counts

3 → 53

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(*.f64 (sin.f64 y) (neg.f64 z))
2.0ms	x	@	-inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
1.0ms	x	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
1.0ms	x	@	0	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
1.0ms	y	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
881×	`add-log-exp_binary64`
880×	`log1p-expm1-u_binary64`
880×	`expm1-log1p-u_binary64`
113×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	221	28
2	2731	28

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 y) x) 1) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) 2) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 x))))))))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

692×	`distribute-rgt-neg-in_binary64`
575×	`fma-neg_binary64`
558×	`cancel-sign-sub-inv_binary64`
538×	`distribute-lft-neg-in_binary64`
421×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	671
1	165	643
2	464	617
3	1497	611
4	2972	609
5	6566	609

Stop Event

1×	node limit

Counts

106 → 81

Calls

Call 1

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

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

eval159.0ms (1.6%)

Compiler: Compiled 11593 to 3671 computations (68.3% saved)

prune136.0ms (1.4%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	637	11	648
Fresh	10	10	20
Picked	1	0	1
Done	1	6	7
Total	649	27	676

Error

0.0b

Counts

676 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	47.6b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
	45.6b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
✓	51.7b	(*.f64 y (neg.f64 z))
✓	30.0b	(-.f64 x (*.f64 y z))
✓	0.3b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
	13.9b	(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
✓	26.3b	(-.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 y z))
▶	36.6b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
▶	31.1b	(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y -1/2)) z)))
	26.3b	(*.f64 (cos.f64 y) x)
▶	0.3b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
✓	43.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	55.5b	(cbrt.f64 (*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3))))
	22.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 y z))
	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
▶	47.8b	(pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
	39.5b	x
	21.8b	(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
▶	27.6b	(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
	47.4b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
	33.1b	(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	36.3b	(*.f64 (sin.f64 y) (neg.f64 z))
	0.4b	(-.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	42.3b	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
	13.8b	(-.f64 x (*.f64 z (sin.f64 y)))
	21.9b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 y z))

Compiler

Compiled 593 to 412 computations (30.5% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) (neg.f64 z))
✓	0.2b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
✓	0.3b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 53 to 23 computations (56.6% saved)

series13.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))
2.0ms	y	@	-inf	(cbrt.f64 (cos.f64 y))
1.0ms	y	@	0	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`pow1_binary64`
503×	`add-sqr-sqrt_binary64`
484×	`add-log-exp_binary64`
484×	`log1p-expm1-u_binary64`
484×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	137	19
2	1441	19

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(cbrt.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 1/6) (*.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (cos.f64 y))))) (#(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 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))))))

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

893×	`distribute-rgt-neg-in_binary64`
627×	`fma-def_binary64`
566×	`associate-l_binary64`
449×	`unswap-sqr_binary64`
447×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	258
1	117	245
2	283	239
3	881	239
4	3680	239
5	7233	239

Stop Event

1×	node limit

Counts

91 → 84

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
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)))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 y (*.f64 -1/6 y) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3))))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 -1/1701 (pow.f64 y 8) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(neg.f64 (fma.f64 y y -1))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (.f64 (pow.f64 y 4) 1/3))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 1) (*.f64 y y))
(-.f64 (*.f64 (pow.f64 y 4) 1/3) (fma.f64 y y -1))
(-.f64 1 (fma.f64 y y (*.f64 (pow.f64 y 4) -1/3)))
(+.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 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 (pow.f64 y 4) 1/3)))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 (pow.f64 y 4) 1/3 (.f64 (pow.f64 y 6) -2/45)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (fma.f64 (pow.f64 y 6) -2/45 1)) (*.f64 y y))
(-.f64 (fma.f64 (pow.f64 y 4) 1/3 (*.f64 (pow.f64 y 6) -2/45)) (fma.f64 y y -1))
(-.f64 (fma.f64 (pow.f64 y 6) -2/45 (*.f64 (pow.f64 y 4) 1/3)) (fma.f64 y y -1))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 42 to 24 computations (42.9% saved)

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`prod-diff_binary64`
502×	`log-prod_binary64`
350×	`pow-prod-down_binary64`
284×	`fma-def_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	193	23
2	2546	23

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 y x)) y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 -1/2 (*.f64 y x))) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) -1/8) (pow.f64 z 3)) y) (fma.f64 z (fma.f64 y (*.f64 -1/2 x) z) (*.f64 (pow.f64 (*.f64 y x) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y x) 2) 1/4 (neg.f64 (*.f64 z z))) y) (fma.f64 y (*.f64 -1/2 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) -1/8) (pow.f64 z 3))) (fma.f64 z (fma.f64 y (*.f64 -1/2 x) z) (*.f64 (pow.f64 (*.f64 y x) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 y x) 2) 1/4 (neg.f64 (*.f64 z z)))) (fma.f64 y (*.f64 -1/2 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 -1/2 (*.f64 y x)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 y x)) y (*.f64 (neg.f64 z) y))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) (fma.f64 -1 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 -1/2 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 -1/2 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 -1/2 (*.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) -1/8) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (fma.f64 y (*.f64 -1/2 x) z) (*.f64 (pow.f64 (*.f64 y x) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 y x) 2) 1/4 (neg.f64 (*.f64 z z))) (/.f64 1 (fma.f64 y (*.f64 -1/2 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 (*.f64 y x))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 -1/2 (*.f64 y x))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (fma.f64 y (*.f64 -1/2 x) z) (*.f64 (pow.f64 (*.f64 y x) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) -1/8) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (*.f64 -1/2 x) z) (fma.f64 (pow.f64 (*.f64 y x) 2) 1/4 (neg.f64 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) -1/8) (pow.f64 z 3)) (fma.f64 z (fma.f64 y (*.f64 -1/2 x) z) (*.f64 (pow.f64 (*.f64 y x) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 y x) 2) 1/4 (neg.f64 (*.f64 z z))) (fma.f64 y (*.f64 -1/2 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) -1/8) (pow.f64 z 3))) (neg.f64 (fma.f64 z (fma.f64 y (*.f64 -1/2 x) z) (*.f64 (pow.f64 (*.f64 y x) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) 2) 1/4 (neg.f64 (*.f64 z z)))) (neg.f64 (fma.f64 y (*.f64 -1/2 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/8 (pow.f64 (neg.f64 z) 3)) (fma.f64 (pow.f64 (*.f64 y x) 2) 1/4 (-.f64 (pow.f64 (neg.f64 z) 2) (*.f64 (*.f64 -1/2 (*.f64 y x)) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 1/4) (pow.f64 (neg.f64 z) 2)) (-.f64 (*.f64 -1/2 (*.f64 y x)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 y (*.f64 -1/2 x) z) (*.f64 (pow.f64 (*.f64 y x) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (*.f64 y x) 3) -1/8) (pow.f64 z 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (*.f64 -1/2 x) z) (fma.f64 (pow.f64 (*.f64 y x) 2) 1/4 (neg.f64 (*.f64 z z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y x)))) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 y) (*.f64 -1/2 x)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y x)))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y x)))) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y x)))) (/.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 (exp.f64 y) (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 z)) (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 -1/2 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 -1/2 x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 y -1/2) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 y -1/2) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -1/2) x (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -1/2) x (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 y x)) 1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 y x)) 1 (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z) 1 (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 -1/2 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(fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2) (fma.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) 2) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 y x)) z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/4)) (*.f64 (cbrt.f64 (*.f64 y -1/2)) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/4)) (*.f64 (cbrt.f64 (*.f64 y -1/2)) x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y x))) 2) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y x))) 2) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y x))) 2) (cbrt.f64 (*.f64 -1/2 (*.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 y x))) 2) (cbrt.f64 (*.f64 -1/2 (*.f64 y x))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 y -1/2)) 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(*.f64 z z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 -1/2 (*.f64 y x))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 -1/2 (*.f64 y x))) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (*.f64 -1/2 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) y (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) y (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 y y) 1/4))) (cbrt.f64 (*.f64 y -1/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 y y) 1/4))) (cbrt.f64 (*.f64 y -1/2)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/2))) (sqrt.f64 (*.f64 y -1/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 y -1/2))) (sqrt.f64 (*.f64 y -1/2)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -1/2) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 z) 1))))))

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-def_binary64`
450×	`distribute-rgt-neg-in_binary64`
389×	`distribute-lft-neg-in_binary64`
379×	`unsub-neg_binary64`
371×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	877
1	41	823
2	82	823
3	158	742
4	477	742
5	1928	742
6	4949	742
7	6507	742
8	7527	742

Stop Event

1×	node limit

Counts

223 → 162

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(.f64 -1/6 (.f64 (pow.f64 y 3) z))
✓	6.0b	(*.f64 (pow.f64 y 3) z)
✓	8.3b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))

Compiler

Compiled 59 to 31 computations (47.5% saved)

series9.0ms (0.1%)

Counts

3 → 21

Calls

18 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
381×	`exp-prod_binary64`
381×	`fma-def_binary64`
359×	`pow-prod-down_binary64`
267×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	221	30
2	2766	28

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs

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#<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 1/36 (pow.f64 (*.f64 y (cbrt.f64 z)) 6))) (fma.f64 -1/216 (pow.f64 (*.f64 y (cbrt.f64 z)) 9) (pow.f64 (*.f64 y z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z (-.f64 (*.f64 -1/6 (pow.f64 y 3)) y)) (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y (cbrt.f64 z)) 6)) (pow.f64 (*.f64 y z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))) (sqrt.f64 (log.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (*.f64 (pow.f64 y 3) z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3) (*.f64 z -1/6) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 -1/6 (pow.f64 y 3)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y 3) z) -1/6 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) 1 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) 2) (*.f64 (*.f64 y (cbrt.f64 z)) -1/6) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 y 3/2)) (*.f64 (*.f64 (sqrt.f64 z) (pow.f64 y 3/2)) -1/6) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 y 3)) z (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 z) (pow.f64 y 3) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 (*.f64 y (cbrt.f64 z)) 2)) (*.f64 y (cbrt.f64 z)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3/2))) (*.f64 (sqrt.f64 z) (pow.f64 y 3/2)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/6 (pow.f64 y 3)) 1) z (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/6 (pow.f64 y 3)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/6 (pow.f64 y 3)) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 y 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (pow.f64 y 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (pow.f64 y 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y 3) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 z) (pow.f64 y 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 y z)) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 y 3) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 y 3) z)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y 3) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (cbrt.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) (pow.f64 y 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y 3) z)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) z) (pow.f64 y 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) z) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) z) (pow.f64 y 3)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) z) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 (*.f64 y (cbrt.f64 z)) 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -1/6) (*.f64 y (cbrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/216 (pow.f64 (*.f64 y (cbrt.f64 z)) 9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))) (sqrt.f64 (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 y (cbrt.f64 z)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) z) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/216 (pow.f64 (*.f64 y (cbrt.f64 z)) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 -1/6) (*.f64 y (cbrt.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/216 (pow.f64 (*.f64 y (cbrt.f64 z)) 9))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z))) 3) 1/3))))))

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1442×	`fma-def_binary64`
1091×	`fma-neg_binary64`
480×	`unswap-sqr_binary64`
442×	`distribute-rgt-neg-in_binary64`
297×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	276
1	48	222
2	134	222
3	444	222
4	1367	222
5	2309	222
6	4213	222
7	5318	222
8	6662	222
9	6979	222
10	7148	222
11	7366	222

Stop Event

1×	node limit

Counts

152 → 137

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 z (sin.f64 y)))
✓	0.0b	(sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))
	0.1b	(*.f64 z (sin.f64 y))
✓	0.3b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)

Compiler

Compiled 35 to 10 computations (71.4% saved)

series24.0ms (0.2%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
2.0ms	z	@	inf	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

979×	`pow1_binary64`
908×	`add-log-exp_binary64`
907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	216	29
2	2517	29

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (*.f64 z (sin.f64 y)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) 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((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))))))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-def_binary64`
833×	`associate-l_binary64`
465×	`unswap-sqr_binary64`
352×	`*-commutative_binary64`
350×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1460
1	492	1126
2	1702	1020
3	7293	988

Stop Event

1×	node limit

Counts

168 → 109

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 y)
	0.0b	(sqrt.f64 (cos.f64 y))
✓	0.1b	(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))
✓	0.2b	(pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)

Compiler

Compiled 27 to 10 computations (63% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
0.0ms	x	@	0	(pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
0.0ms	x	@	inf	(pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
0.0ms	y	@	0	(pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	185	14
2	2046	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2) (cbrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))) (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 x)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (cbrt.f64 (*.f64 (cos.f64 y) x))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 y) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 y) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (cos.f64 y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) x))))))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

428×	`*-commutative_binary64`
397×	`distribute-rgt-in_binary64`
390×	`distribute-lft-in_binary64`
294×	`unswap-sqr_binary64`
275×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	353
1	148	349
2	412	298
3	1786	277
4	5247	277

Stop Event

1×	node limit

Counts

66 → 57

Calls

Call 1

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

Outputs
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x))
(fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) x))
(fma.f64 x (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(.f64 x (+.f64 (fma.f64 -1/2 (.f64 y y) 1) (*.f64 (pow.f64 y 4) 1/24)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 x) (.f64 1/16 x)) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (fma.f64 x 5/48 (*.f64 x -1/16)) x))
(fma.f64 x (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 4) (*.f64 x 1/24) x))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(sqrt.f64 x)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 (pow.f64 y 4) (.f64 1/2 (.f64 (fma.f64 x 1/24 (.f64 x -1/16)) (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) -1/4 1)))
(fma.f64 (fma.f64 (.f64 y y) -1/4 1) (sqrt.f64 x) (.f64 (pow.f64 y 4) (.f64 1/2 (.f64 (*.f64 x -1/48) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 (fma.f64 (.f64 y y) -1/4 1) (sqrt.f64 x) (.f64 (pow.f64 y 4) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 1/2 (*.f64 x -1/48)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 x) (.f64 -1/4 (-.f64 (.f64 1/24 x) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 -1/4 (.f64 (.f64 y y) (sqrt.f64 x)) (+.f64 (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 6) (-.f64 (.f64 x -1/720) (.f64 -1/4 (-.f64 (.f64 x 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 x)) 2)))))))))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 x))) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/2 (.f64 (fma.f64 x -1/720 (.f64 (-.f64 (.f64 x 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 x)) 2)) 1/4)) (*.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 y 4) (fma.f64 x 1/24 (.f64 x -1/16))) (.f64 (pow.f64 y 6) (fma.f64 (fma.f64 x 1/24 (.f64 x -1/16)) 1/4 (*.f64 x -1/720))))))
(+.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 (pow.f64 y 4) (.f64 x -1/48)) (.f64 (pow.f64 y 6) (fma.f64 x -1/720 (.f64 -1/4 (*.f64 x 1/48)))))))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(sqrt.f64 (*.f64 x (cos.f64 y)))

eval391.0ms (3.9%)

Compiler: Compiled 13315 to 6637 computations (50.2% saved)

prune152.0ms (1.5%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	709	8	717
Fresh	2	14	16
Picked	0	1	1
Done	3	7	10
Total	714	30	744

Error

0.0b

Counts

744 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	45.6b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
	21.9b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 y (neg.f64 z)))
	36.8b	(pow.f64 (pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) 2) 2)
	33.1b	(/.f64 1 (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
	0.4b	(-.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
	13.8b	(-.f64 x (*.f64 z (sin.f64 y)))
	30.7b	(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
✓	0.3b	(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
✓	51.7b	(*.f64 y (neg.f64 z))
✓	30.0b	(-.f64 x (*.f64 y z))
	13.9b	(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
✓	26.3b	(-.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 y z))
✓	36.6b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
	55.5b	(cbrt.f64 (*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3))))
✓	43.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
	22.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 y z))
	1.3b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
✓	47.8b	(pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
	39.5b	x
	21.8b	(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
	47.4b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
	41.4b	(+.f64 x (.f64 (.f64 y x) (*.f64 y -1/2)))
	33.1b	(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
✓	0.2b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	36.3b	(*.f64 (sin.f64 y) (neg.f64 z))
	26.3b	(*.f64 (cos.f64 y) x)
	42.3b	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
	0.4b	(fma.f64 (.f64 x (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
	21.9b	(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 y z))
	47.6b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))

Compiler

Compiled 387 to 267 computations (31% saved)

regimes236.0ms (2.4%)

Counts

62 → 1

Calls

Call 1

Inputs
x
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(+.f64 x (.f64 (.f64 y x) (*.f64 y -1/2)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y -1/2)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y -1/2)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 x (*.f64 y -1/2)) z)))
(*.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y z))
(-.f64 x (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) 2)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))
(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 y z))
(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 y z))
(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 y z))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) 3) (.f64 y z))
(-.f64 (cbrt.f64 (pow.f64 (.f64 x (cos.f64 y)) 3)) (.f64 y z))
(-.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 y z))
(-.f64 (pow.f64 (cbrt.f64 (.f64 x (cos.f64 y))) 3) (.f64 y z))
(/.f64 1 (/.f64 (+.f64 x (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 x)) 2)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (neg.f64 (pow.f64 (sin.f64 y) 3))))
(-.f64 (.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 z (sin.f64 y)))))
(-.f64 (.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1/4) 2) 2)
(-.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) 3))
(-.f64 (.f64 x (pow.f64 (sqrt.f64 (cos.f64 y)) 2)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 3)) (.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) 2)
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 y (neg.f64 z)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))) 1/4) 2) 2)
(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
(+.f64 (.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (.f64 x (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))))) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) 2) (.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))

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

Calls

4 calls:

58.0ms	z
57.0ms	y
54.0ms	x
48.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 714 to 225 computations (68.5% saved)

regimes99.0ms (1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	y
30.0ms	x
26.0ms	z

Results

Error	Segments	Branch
7.1b	3	`x`
11.1b	5	`y`
6.9b	3	`z`

Compiler

Compiled 120 to 56 computations (53.3% saved)

bsearch115.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	2.1652950089479233e-8	2.854497631605694e-8
58.0ms	-1.7670854703756482e-130	-4.324065859101818e-132

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes332.0ms (3.3%)

Counts

12 → 6

Calls

Call 1

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

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

Calls

3 calls:

215.0ms	y
73.0ms	z
40.0ms	x

Results

Error	Segments	Branch
11.4b	4	`x`
10.9b	8	`y`
10.8b	6	`z`

Compiler

Compiled 87 to 45 computations (48.3% saved)

bsearch553.0ms (5.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
127.0ms	1.2095943291590694e+74	6.772014896961484e+79
80.0ms	-7.609276778893957e-56	-2.9986929803169554e-57
74.0ms	-8434.577087517517	-0.00018542733203779686
202.0ms	-7.850447580832386e+28	-3.1097357776610896e+25
70.0ms	-2.5736110648635675e+88	-2.2411085982629562e+82

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	z
18.0ms	y
18.0ms	x

Results

Error	Segments	Branch
18.2b	3	`x`
15.9b	3	`y`
19.7b	3	`z`

Compiler

Compiled 72 to 41 computations (43.1% saved)

bsearch231.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
170.0ms	0.00299966792259384	0.30759421190711117
61.0ms	-3349594454779.5894	-1.8472528501055167e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes27.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
6.0ms	z
6.0ms	y

Results

Error	Segments	Branch
30.0b	1	`x`
30.0b	1	`y`
30.0b	1	`z`

Compiler

Compiled 68 to 39 computations (42.6% saved)

regimes53.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	y
14.0ms	x
10.0ms	z

Results

Error	Segments	Branch
35.1b	3	`x`
39.5b	1	`y`
34.6b	3	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch252.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	1.3868229239506407e+116	1.2488693318628816e+125
193.0ms	-5.668647897976149e+105	-3.88722192542713e+103

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
39.5b	1	`x`
39.5b	1	`y`
39.5b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
10×	`+-commutative_binary64`
9×	`sub-neg_binary64`
5×	`cancel-sign-sub-inv_binary64`
5×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	196
1	85	196
2	103	196
3	112	196
4	117	196
5	118	196

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -8826234408687413/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 6544202608499585/302231454903657293676544) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -25736110648635675407841539353112717341766080682032115947692750593701677617006133028847616) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -78504475808323859431731232768) (.f64 (cos.f64 y) x) (if (<=.f64 z -4636957791549269/549755813888) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -4201383856835971/55213970774324510299478046898216203619608871777363092441300193790394368) (-.f64 x (.f64 y z)) (if (<=.f64 z 120959432915906938957626795632254063803978642800144953618195385810801393664) (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -6859969443388599/2048) (.f64 (cos.f64 y) x) (if (<=.f64 y 3458381654637785/1152921504606846976) (+.f64 x (.f64 y (-.f64 (.f64 x (.f64 y -1/2)) z))) (*.f64 (cos.f64 y) x)))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -5668647897976148637174494720833426274253345968223397796347254419943557135963326233668613473621108513046528) (.f64 y (neg.f64 z)) (if (<=.f64 z 138682292395064066267148520683434309213149794172956835168941206657580793099116260653157414414530974687826563160866816) x (.f64 y (neg.f64 z))))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -8826234408687413/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 6544202608499585/302231454903657293676544) (.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -8826234408687413/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 6544202608499585/302231454903657293676544) (.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -25736110648635675407841539353112717341766080682032115947692750593701677617006133028847616) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -78504475808323859431731232768) (.f64 (cos.f64 y) x) (if (<=.f64 z -4636957791549269/549755813888) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -4201383856835971/55213970774324510299478046898216203619608871777363092441300193790394368) (-.f64 x (.f64 y z)) (if (<=.f64 z 120959432915906938957626795632254063803978642800144953618195385810801393664) (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 z -25736110648635675407841539353112717341766080682032115947692750593701677617006133028847616) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -78504475808323859431731232768) (.f64 x (cos.f64 y)) (if (<=.f64 z -4636957791549269/549755813888) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -4201383856835971/55213970774324510299478046898216203619608871777363092441300193790394368) (-.f64 x (.f64 y z)) (if (<=.f64 z 120959432915906938957626795632254063803978642800144953618195385810801393664) (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -6859969443388599/2048) (.f64 (cos.f64 y) x) (if (<=.f64 y 3458381654637785/1152921504606846976) (+.f64 x (.f64 y (-.f64 (.f64 x (.f64 y -1/2)) z))) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y -6859969443388599/2048) (.f64 x (cos.f64 y)) (if (<=.f64 y 3458381654637785/1152921504606846976) (+.f64 x (.f64 y (-.f64 (.f64 x (.f64 y -1/2)) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 y z))
(if (<=.f64 z -5668647897976148637174494720833426274253345968223397796347254419943557135963326233668613473621108513046528) (.f64 y (neg.f64 z)) (if (<=.f64 z 138682292395064066267148520683434309213149794172956835168941206657580793099116260653157414414530974687826563160866816) x (.f64 y (neg.f64 z))))
x

Compiler

Compiled 152 to 83 computations (45.4% saved)

soundness0.0ms (0%)

end236.0ms (2.4%)

Compiler: Compiled 134 to 53 computations (60.4% saved)

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223

Iter	Nodes	Cost
0	9	14
1	17	14
2	32	14
3	49	14
4	76	14
5	124	14
6	205	14
7	306	14
8	409	14
9	525	14
10	583	14
11	589	14

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	194	223
8	252	223
9	339	223
10	389	223
11	395	223