Details

analyze276.0ms (3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
56.2%	43.7%	0.1%	10
65.5%	34.3%	0.1%	11
65.5%	34.3%	0.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.1s (23.4%)

Results

1.2s	6213×	body	256	valid
705.0ms	1345×	body	1024	valid
235.0ms	692×	body	512	valid
6.0ms	6×	body	2048	valid

preprocess20.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

24×	`fma-def_binary64`
18×	`+-commutative_binary64`
12×	`associate-+r+_binary64`
12×	`associate-+l+_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	42	48
2	78	48
3	102	48
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	12
2	23	12
3	29	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 10 computations (50% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series12.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
490×	`fma-def_binary64`
374×	`pow-prod-down_binary64`
280×	`pow2_binary64`
236×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	198	24
2	2893	24

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

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

Outputs

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

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

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

simplify139.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

767×	`distribute-rgt-out_binary64`
664×	`associate-l_binary64`
565×	`distribute-lft-out_binary64`
499×	`associate-r_binary64`
492×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	674
1	131	670
2	349	666
3	1156	665
4	3361	665
5	6312	665
6	6585	665
7	6872	665
8	7160	665
9	7531	665

Stop Event

1×	node limit

Counts

240 → 192

Calls

Call 1

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

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

eval44.0ms (0.5%)

Compiler: Compiled 2876 to 908 computations (68.4% saved)

prune52.0ms (0.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	176	16	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	176	17	193

Error

0.0b

Counts

193 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(+.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)))) (.f64 z (cos.f64 y)))
	30.5b	(+.f64 (sin.f64 y) x)
	28.7b	(/.f64 1 (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
	40.1b	x
	31.1b	(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
	25.3b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	0.6b	(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x (sin.f64 y)))
	19.0b	(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
	23.5b	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
	31.1b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
▶	0.7b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
▶	13.8b	(+.f64 (+.f64 x (sin.f64 y)) z)
	26.6b	(+.f64 z (+.f64 y x))
▶	23.3b	(+.f64 z x)
	32.9b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
▶	0.2b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))

Compiler

Compiled 438 to 287 computations (34.5% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (cos.f64 y) 2)
	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) z)
	0.1b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
	0.0b	(+.f64 x (sin.f64 y))
✓	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) z)
✓	0.3b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
✓	0.4b	(cbrt.f64 (cos.f64 y))

series21.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	0	(*.f64 (cbrt.f64 (cos.f64 y)) z)
2.0ms	z	@	0	(*.f64 (cbrt.f64 (cos.f64 y)) z)
2.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	176	27
2	1898	27

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

553×	`fma-neg_binary64`
486×	`distribute-rgt-neg-in_binary64`
438×	`cancel-sign-sub-inv_binary64`
408×	`sub-neg_binary64`
370×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	482
1	157	468
2	407	457
3	1279	454
4	2113	454
5	3486	454
6	5495	454
7	7113	454

Stop Event

1×	node limit

Counts

128 → 106

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)))))
z
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) z)) z))
(+.f64 (.f64 -1/72 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -23/6480 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) z)) z)))
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (cos.f64 y)) 1/3) z)

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

localize2.0ms (0%)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

987×	`pow1_binary64`
919×	`add-log-exp_binary64`
919×	`log1p-expm1-u_binary64`
919×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	159	9
2	2397	9

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify133.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

828×	`sqr-pow_binary64`
692×	`fma-def_binary64`
686×	`cube-prod_binary64`
597×	`fabs-mul_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	296
1	58	296
2	149	296
3	418	296
4	839	296
5	1438	296
6	2040	296
7	2710	296
8	2818	296
9	2980	296
10	3195	296
11	3525	296
12	3981	296
13	4578	296
14	5329	296
15	6257	296
16	6761	296
17	7249	296
18	7645	296
19	7963	296

Stop Event

1×	node limit

Counts

75 → 52

Calls

Call 1

Inputs
(+.f64 z (sin.f64 y))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
x
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
x
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 z x)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 z x))))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
z
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
z
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (sin.f64 y) x))

Outputs
(+.f64 z (sin.f64 y))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
x
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
x
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 x y))
(+.f64 x (+.f64 z y))
(+.f64 z (+.f64 y x))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (+.f64 z x)))
(+.f64 (+.f64 z x) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 z (+.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 z (+.f64 y (fma.f64 -1/6 (pow.f64 y 3) x)))
(+.f64 (+.f64 z y) (fma.f64 -1/6 (pow.f64 y 3) x))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (+.f64 z x))))
(+.f64 (+.f64 x (fma.f64 1/120 (pow.f64 y 5) z)) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) x) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) x)))
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y x))))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 (sin.f64 y) x)
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
z
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
z
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))
(+.f64 z (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (+.f64 z x))

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
	0.1b	(*.f64 z (cos.f64 y))
	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
	0.0b	(+.f64 x (sin.f64 y))
✓	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

series25.0ms (0.3%)

Counts

3 → 51

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(cbrt.f64 (*.f64 z (cos.f64 y)))
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
548×	`fma-def_binary64`
438×	`pow-prod-down_binary64`
321×	`pow2_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	267	26
2	3411	26

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs

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

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

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

790×	`associate-r_binary64`
764×	`associate-l_binary64`
644×	`fma-def_binary64`
281×	`associate-+l+_binary64`
275×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	817
1	331	738
2	1097	686
3	6491	686

Stop Event

1×	node limit

Counts

208 → 190

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (.f64 (pow.f64 1 1/3) z))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3))))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
x
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
x
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (*.f64 (pow.f64 1 1/3) z) x)
(+.f64 y (+.f64 (*.f64 (pow.f64 1 1/3) z) x))
(+.f64 y (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (pow.f64 1 1/3) z) x)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 1 1/3) z) x))))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)

Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (.f64 (pow.f64 1 1/3) z))
(fma.f64 (.f64 z -1/2) (.f64 y y) z)
(fma.f64 z (.f64 (.f64 y y) -1/2) z)
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 z (.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 (cbrt.f64 (/.f64 1 z)) (.f64 z -1/36) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (fma.f64 z 1/18 (.f64 z -1/72))) (pow.f64 y 4) (fma.f64 z (.f64 (.f64 y y) -1/2) z))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3))))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24))))) (.f64 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (+.f64 (.f64 1/3 (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24))))) (fma.f64 -1/6 (.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z))))) (.f64 -1/9 (.f64 z -1/24))))) (pow.f64 y 6) (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (.f64 z 7/2160) (.f64 z 1/72))) (.f64 (cbrt.f64 (/.f64 1 z)) (.f64 (.f64 z -1/24) -1/9))) (fma.f64 1/3 (-.f64 (.f64 z 7/2160) (.f64 z 1/72)) (fma.f64 (.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (.f64 z (.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 (.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 z (.f64 -1/24 (cbrt.f64 (/.f64 1 z)))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 (fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (.f64 z 1/216) (.f64 2/3 (.f64 z -23/2160)))) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 z)) (.f64 z -1/36) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 -1/6 (cbrt.f64 z)) (fma.f64 1/3 (.f64 z -23/2160) (.f64 z 1/216)))) (pow.f64 y 6) (fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 (cbrt.f64 (/.f64 1 z)) (.f64 z -1/36) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (fma.f64 z 1/18 (.f64 z -1/72))) (pow.f64 y 4) z)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 z) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))))
(fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 z))) (cbrt.f64 z))
(fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 z -1/24) (pow.f64 y 4))) (+.f64 (cbrt.f64 z) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 z (.f64 -1/24 (pow.f64 y 4)))) (fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 z))) (cbrt.f64 z)))
(fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (*.f64 z -1/72) (pow.f64 y 4)) (cbrt.f64 z)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24)))) (pow.f64 y 6))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 z -1/24) (pow.f64 y 4))) (+.f64 (cbrt.f64 z) (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))))))
(+.f64 (fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 z))) (cbrt.f64 z)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 z z)))) (+.f64 (.f64 (-.f64 (.f64 z 7/2160) (.f64 z 1/72)) (pow.f64 y 6)) (.f64 z (.f64 -1/24 (pow.f64 y 4))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (fma.f64 (.f64 z -23/2160) (pow.f64 y 6) (.f64 (.f64 z -1/24) (pow.f64 y 4)))) (fma.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
x
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
x
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 1 1/3) z) x)
(+.f64 z x)
(+.f64 y (+.f64 (*.f64 (pow.f64 1 1/3) z) x))
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 z y))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (pow.f64 1 1/3) z) x)))
(+.f64 y (+.f64 (fma.f64 (.f64 z -1/2) (.f64 y y) z) x))
(+.f64 y (+.f64 x (fma.f64 (.f64 z -1/2) (.f64 y y) z)))
(+.f64 z (+.f64 y (fma.f64 z (.f64 (.f64 y y) -1/2) x)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 1 1/3) z) x))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (+.f64 (fma.f64 (.f64 z -1/2) (.f64 y y) z) x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (+.f64 x (fma.f64 (.f64 z -1/2) (.f64 y y) z))))
(+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (+.f64 x (fma.f64 z (.f64 (.f64 y y) -1/2) z))))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) x))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.0b	(+.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2)))) (.f64 z (cos.f64 y)))
	0.0b	(-.f64 x (sin.f64 y))
	0.0b	(-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
✓	0.2b	(pow.f64 (sin.f64 y) 2)
✓	18.4b	(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))

series11.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`log-prod_binary64`
413×	`fma-def_binary64`
336×	`pow2_binary64`
231×	`pow1/3_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	273	21
2	3871	21

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 1) (/.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 y)) (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) 2) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sin.f64 y)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sin.f64 y)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 y))) (*.f64 (sqrt.f64 (-.f64 x (sin.f64 y))) (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sin.f64 y)))) (/.f64 1 (sqrt.f64 (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (sin.f64 y))) (/.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (-.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 2)) (/.f64 (-.f64 x (sin.f64 y)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))) (/.f64 (-.f64 x (sin.f64 y)) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 y))) 1) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 y))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) 2) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 y))) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6))) (fma.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (hypot.f64 x (sin.f64 y)) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4))) (pow.f64 (hypot.f64 x (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 y)) 3) (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (sin.f64 y)) (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 y)) 3) (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) 2) (cbrt.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (sqrt.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 2)) (/.f64 x (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))) (/.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))) (/.f64 (cbrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))) (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 y) 2))))) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 x 6) (pow.f64 (sin.f64 y) 6))) (fma.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (hypot.f64 x (sin.f64 y)) 2) (pow.f64 x 4)) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 x 4) (pow.f64 (sin.f64 y) 4))) (pow.f64 (hypot.f64 x (sin.f64 y)) 2) (neg.f64 (/.f64 (sin.f64 y) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sin.f64 y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.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 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2)))))))

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-*l/_binary64`
395×	`associate-*r/_binary64`
358×	`fma-neg_binary64`
318×	`fma-def_binary64`
281×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	864
1	233	841
2	655	817
3	2526	729
4	7633	729

Stop Event

1×	node limit

Counts

205 → 192

Calls

Call 1

Inputs
(/.f64 1 (sin.f64 y))
(+.f64 (/.f64 1 (sin.f64 y)) (*.f64 -1 (/.f64 x (pow.f64 (sin.f64 y) 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 3)) (+.f64 (/.f64 1 (sin.f64 y)) (*.f64 -1 (/.f64 x (pow.f64 (sin.f64 y) 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 3)) (+.f64 (/.f64 1 (sin.f64 y)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sin.f64 y) 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4))))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) x)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))

Outputs
(/.f64 1 (sin.f64 y))
(+.f64 (/.f64 1 (sin.f64 y)) (*.f64 -1 (/.f64 x (pow.f64 (sin.f64 y) 2))))
(+.f64 (/.f64 1 (sin.f64 y)) (neg.f64 (/.f64 x (pow.f64 (sin.f64 y) 2))))
(-.f64 (/.f64 1 (sin.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) 2)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 3)) (+.f64 (/.f64 1 (sin.f64 y)) (*.f64 -1 (/.f64 x (pow.f64 (sin.f64 y) 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (sin.f64 y))) (neg.f64 (/.f64 x (pow.f64 (sin.f64 y) 2))))
(+.f64 (-.f64 (/.f64 1 (sin.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 x (/.f64 (pow.f64 (sin.f64 y) 3) x)))
(+.f64 (/.f64 1 (sin.f64 y)) (*.f64 (/.f64 x (pow.f64 (sin.f64 y) 2)) (+.f64 -1 (/.f64 x (sin.f64 y)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 3)) (+.f64 (/.f64 1 (sin.f64 y)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sin.f64 y) 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4))))))
(+.f64 (/.f64 (.f64 x x) (pow.f64 (sin.f64 y) 3)) (+.f64 (/.f64 1 (sin.f64 y)) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sin.f64 y) 2)) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4))))))
(+.f64 (/.f64 x (/.f64 (pow.f64 (sin.f64 y) 3) x)) (-.f64 (-.f64 (/.f64 1 (sin.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4))))
(+.f64 (/.f64 1 (sin.f64 y)) (-.f64 (*.f64 (/.f64 x (pow.f64 (sin.f64 y) 2)) (+.f64 -1 (/.f64 x (sin.f64 y)))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 4))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (sin.f64 y) (*.f64 x x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (sin.f64 y) (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 (sin.f64 y) x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 y) (*.f64 x x)) (/.f64 1 x)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (/.f64 (sin.f64 y) (*.f64 x x))))
(+.f64 (/.f64 1 x) (.f64 (/.f64 (sin.f64 y) (.f64 x x)) (+.f64 (/.f64 (sin.f64 y) x) -1)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (+.f64 -1 (/.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4))) (/.f64 1 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (sin.f64 y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4)) (/.f64 1 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4))) (/.f64 (sin.f64 y) (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 (sin.f64 y) (.f64 x x)) (+.f64 (/.f64 (sin.f64 y) x) -1)) (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (fma.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (+.f64 -1 (/.f64 (sin.f64 y) x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (sin.f64 y) (*.f64 x x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (sin.f64 y) (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 (sin.f64 y) x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 y) (*.f64 x x)) (/.f64 1 x)) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (/.f64 (sin.f64 y) (*.f64 x x))))
(+.f64 (/.f64 1 x) (.f64 (/.f64 (sin.f64 y) (.f64 x x)) (+.f64 (/.f64 (sin.f64 y) x) -1)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (+.f64 -1 (/.f64 (sin.f64 y) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 y) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4))) (/.f64 1 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (sin.f64 y) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4)) (/.f64 1 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4))) (/.f64 (sin.f64 y) (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 (sin.f64 y) (.f64 x x)) (+.f64 (/.f64 (sin.f64 y) x) -1)) (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (fma.f64 (/.f64 (/.f64 (sin.f64 y) x) x) (+.f64 -1 (/.f64 (sin.f64 y) x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) 3)) (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 (.f64 y y) (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))
(+.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1/6 (.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x))))))
(+.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (-.f64 (fma.f64 (pow.f64 y 3) (+.f64 (/.f64 (/.f64 1/6 x) x) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 x)) (/.f64 y (*.f64 x x))))
(+.f64 (fma.f64 (pow.f64 y 3) (+.f64 (/.f64 (/.f64 1/6 x) x) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 x)) (.f64 (/.f64 y (.f64 x x)) (+.f64 -1 (/.f64 y x))))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)))
(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(fma.f64 -1/3 (pow.f64 y 4) (*.f64 y y))
(fma.f64 y y (*.f64 -1/3 (pow.f64 y 4)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 y y (*.f64 2/45 (pow.f64 y 6))))
(fma.f64 2/45 (pow.f64 y 6) (fma.f64 -1/3 (pow.f64 y 4) (*.f64 y y)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(fma.f64 -1/3 (pow.f64 y 4) (+.f64 (fma.f64 2/45 (pow.f64 y 6) (.f64 y y)) (.f64 -1/315 (pow.f64 y 8))))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (fma.f64 y y (*.f64 -1/315 (pow.f64 y 8)))))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 y y (fma.f64 2/45 (pow.f64 y 6) (*.f64 -1/315 (pow.f64 y 8)))))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
(+.f64 (sin.f64 y) x)
x
(+.f64 y x)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y x))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y x))
(fma.f64 (pow.f64 y 3) -1/6 (+.f64 y x))
(+.f64 y (fma.f64 (pow.f64 y 3) -1/6 x))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) x)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) x)))
(fma.f64 (pow.f64 y 3) -1/6 (+.f64 y (fma.f64 1/120 (pow.f64 y 5) x)))
(+.f64 x (fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)) (-.f64 x (sin.f64 y)))
(/.f64 (+.f64 (sin.f64 y) x) 1)

eval191.0ms (2.1%)

Compiler: Compiled 12590 to 5115 computations (59.4% saved)

prune115.0ms (1.3%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	647	12	659
Fresh	6	5	11
Picked	1	0	1
Done	2	3	5
Total	656	20	676

Error

Counts

676 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3) z) (+.f64 x (sin.f64 y)))
	23.5b	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
	31.1b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y))))
	30.5b	(+.f64 (sin.f64 y) x)
	36.4b	(+.f64 z (sin.f64 y))
	17.1b	(fma.f64 (cbrt.f64 (exp.f64 (.f64 2 (log.f64 (cos.f64 y))))) (.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
	31.1b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
▶	0.3b	(fma.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
	27.2b	(+.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) z)
✓	0.7b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
▶	10.2b	(+.f64 x (*.f64 z (cos.f64 y)))
	45.6b	z
	28.7b	(/.f64 1 (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
	40.1b	x
▶	0.6b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
✓	0.2b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
▶	26.6b	(+.f64 (+.f64 y x) z)
	32.9b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 z (cos.f64 y) (sin.f64 y)))
✓	23.3b	(+.f64 z x)
▶	25.3b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))

Compiler

Compiled 507 to 343 computations (32.3% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))
	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) z)
	0.1b	(fma.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
	0.0b	(+.f64 x (sin.f64 y))
	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) z)
✓	0.3b	(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))
	0.4b	(cbrt.f64 (cos.f64 y))
✓	0.5b	(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))

series6.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`pow1_binary64`
884×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
868×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	194	14
2	2367	14

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))))

Outputs

((#(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 (/.f64 1/4 (pow.f64 (sin.f64 y) 2)) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 2)) (sqrt.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3))) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (*.f64 1/4 (cos.f64 (*.f64 2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2))) (/.f64 1 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (*.f64 2 y)) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2) 1) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (*.f64 1/4 (cos.f64 (*.f64 2 y))))) (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3))) (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (*.f64 1/4 (cos.f64 (*.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (-.f64 1/4 (*.f64 1/4 (cos.f64 (*.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2))) (pow.f64 (sin.f64 y) 2))))) (#(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 /.f64 (neg.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3)))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (*.f64 1/4 (cos.f64 (*.f64 2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)))) (neg.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) 1/4) (-.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 2))))) (#(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 exp.f64 (log.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (cos.f64 (*.f64 2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 2 y)) 1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (cos.f64 (*.f64 2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) 2) (cbrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) (sqrt.f64 (*.f64 1/2 (cos.f64 (*.f64 2 y)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (*.f64 2 y)) 3)))) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)) (*.f64 1/4 (cos.f64 (*.f64 2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 2 y)) 2)))) (cbrt.f64 (pow.f64 (sin.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 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))))))

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

700×	`distribute-rgt-neg-in_binary64`
634×	`distribute-lft-neg-in_binary64`
437×	`fma-def_binary64`
425×	`unswap-sqr_binary64`
424×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	214
1	95	191
2	218	185
3	660	185
4	2626	185
5	6153	185

Stop Event

1×	node limit

Counts

75 → 74

Calls

Call 1

Inputs
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)))))
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 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3)

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

localize3.0ms (0%)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite142.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`pow1_binary64`
747×	`add-log-exp_binary64`
747×	`log1p-expm1-u_binary64`
747×	`expm1-log1p-u_binary64`
730×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	147	7
2	2000	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify107.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

763×	`distribute-lft-out_binary64`
691×	`fma-def_binary64`
520×	`distribute-rgt-out_binary64`
413×	`*-commutative_binary64`
409×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	279
1	76	279
2	211	270
3	664	267
4	2458	267
5	4598	267
6	4887	267
7	5192	267
8	5829	267
9	6158	267
10	6503	267
11	7840	267

Stop Event

1×	node limit

Counts

71 → 45

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
	0.1b	(*.f64 z (cos.f64 y))
	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	0.0b	(+.f64 x (sin.f64 y))
✓	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.2b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
✓	39.2b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

series14.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(pow.f64 (*.f64 z (cos.f64 y)) 3)
2.0ms	z	@	-inf	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
1.0ms	y	@	0	(pow.f64 (*.f64 z (cos.f64 y)) 3)
1.0ms	y	@	-inf	(pow.f64 (*.f64 z (cos.f64 y)) 3)
1.0ms	z	@	0	(pow.f64 (*.f64 z (cos.f64 y)) 3)

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
515×	`fma-def_binary64`
439×	`pow-prod-down_binary64`
322×	`pow2_binary64`
271×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	268	27
2	3421	27

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Outputs

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

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

851×	`distribute-rgt-out_binary64`
678×	`distribute-rgt-in_binary64`
672×	`distribute-lft-in_binary64`
656×	`fma-def_binary64`
504×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1042
1	249	1013
2	885	979
3	4631	972

Stop Event

1×	node limit

Counts

237 → 185

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 z 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (.f64 -1/720 (pow.f64 z 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z)) (.f64 -1/24 (pow.f64 z 3)))))) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))

Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 (cos.f64 y) z) (cbrt.f64 -1)))
(.f64 (.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 z (cbrt.f64 -1)) (neg.f64 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 z (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 (cos.f64 y) z) (cbrt.f64 -1)))
(.f64 (.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 z (cbrt.f64 -1)) (neg.f64 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 z (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 (cos.f64 y) z) (cbrt.f64 -1)))
(.f64 (.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 z (cbrt.f64 -1)) (neg.f64 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 z (neg.f64 (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 (cos.f64 y) z) (cbrt.f64 -1)))
(.f64 (.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 z (cbrt.f64 -1)) (neg.f64 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 z (neg.f64 (cbrt.f64 -1))))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 z 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3))
(fma.f64 y (.f64 (pow.f64 z 3) (.f64 -3/2 y)) (pow.f64 z 3))
(.f64 (+.f64 (.f64 (*.f64 -3/2 y) y) 1) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3)) (.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (.f64 z (.f64 (.f64 z z) 1/3))))))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (fma.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) 13/24)) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 y (.f64 (pow.f64 z 3) (*.f64 -3/2 y)) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (.f64 (+.f64 (.f64 (.f64 -3/2 y) y) 1) (pow.f64 z 3)))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (.f64 -1/720 (pow.f64 z 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z)) (.f64 -1/24 (pow.f64 z 3)))))) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(+.f64 (fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (fma.f64 (.f64 (.f64 z z) -2/45) z (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (.f64 z (.f64 (.f64 z z) 1/3)) (.f64 (pow.f64 z 3) -1/24)))) (.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (.f64 z (.f64 (.f64 z z) 1/3)))))))
(+.f64 (fma.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) 13/24)) (.f64 (pow.f64 y 6) (+.f64 (.f64 (pow.f64 z 3) -2/45) (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) -1/24)))))) (fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)))
(fma.f64 y (.f64 (pow.f64 z 3) (.f64 -3/2 y)) (fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (+.f64 (fma.f64 (pow.f64 z 3) -1/24 (.f64 (pow.f64 z 3) -1/6)) (*.f64 (pow.f64 z 3) -11/240)) (pow.f64 z 3))))
(fma.f64 y (.f64 (pow.f64 z 3) (.f64 -3/2 y)) (fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (+.f64 (.f64 z (.f64 (.f64 z z) -5/24)) (*.f64 (pow.f64 z 3) -11/240)) (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 z (+.f64 y x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (+.f64 y (+.f64 z x)))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (+.f64 x (+.f64 y z)))
(+.f64 z (+.f64 x (fma.f64 z (.f64 -1/2 (.f64 y y)) y)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 y (+.f64 z x))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/2 (.f64 y (.f64 y z)) (+.f64 y (+.f64 z x))))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (fma.f64 -1/6 (pow.f64 y 3) (+.f64 x (+.f64 y z))))
(+.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 z (.f64 -1/2 (.f64 y y)) y)) z))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 (cos.f64 y) z) (cbrt.f64 -1)))
(.f64 (.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 z (cbrt.f64 -1)) (neg.f64 (cos.f64 y)))
(.f64 (cos.f64 y) (.f64 z (neg.f64 (cbrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(fma.f64 -1 (.f64 (.f64 (cos.f64 y) z) (cbrt.f64 -1)) (+.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (-.f64 x (.f64 (cos.f64 y) (.f64 z (cbrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(fma.f64 -1 (.f64 (.f64 (cos.f64 y) z) (cbrt.f64 -1)) (+.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (-.f64 x (.f64 (cos.f64 y) (.f64 z (cbrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z))) (+.f64 (sin.f64 y) x))
(fma.f64 -1 (.f64 (.f64 (cos.f64 y) z) (cbrt.f64 -1)) (+.f64 (sin.f64 y) x))
(fma.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (sin.f64 y) (-.f64 x (.f64 (cos.f64 y) (.f64 z (cbrt.f64 -1)))))

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
	0.2b	(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	0.0b	(+.f64 x (sin.f64 y))
✓	0.2b	(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
✓	0.3b	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.5b	(cbrt.f64 z)

series24.0ms (0.3%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	z	@	-inf	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
2.0ms	y	@	inf	(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
2.0ms	z	@	0	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
2.0ms	y	@	inf	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
1.0ms	y	@	0	(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
705×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	181	26
2	2011	26

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

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

simplify176.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3055×	`fma-def_binary64`
666×	`associate-+l+_binary64`
662×	`sqr-pow_binary64`
652×	`distribute-lft-out_binary64`
587×	`*-commutative_binary64`

Iterations

Useful iterations: 18 (0.0ms)

Iter	Nodes	Cost
0	42	396
1	113	386
2	329	361
3	1254	353
4	2513	346
5	2670	346
6	2827	346
7	3030	346
8	3221	346
9	3429	346
10	4803	346
11	5533	346
12	5931	346
13	6400	346
14	6946	346
15	7153	346
16	7321	346
17	7451	346
18	7549	338

Stop Event

1×	node limit

Counts

98 → 80

Calls

Call 1

Inputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 z 2) 1/3)
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (.f64 -1/2 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 6))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (.f64 -1/2 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(fma.f64 y (.f64 -1/2 (.f64 z y)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y 1/24) -1/2)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(fma.f64 z (.f64 (.f64 y y) (fma.f64 y (fma.f64 -1/720 (pow.f64 y 3) (*.f64 y 1/24)) -1/2)) z)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 z 2) 1/3)
(cbrt.f64 (*.f64 z z))
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (.f64 -1/2 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))
(+.f64 (cbrt.f64 (.f64 z z)) (.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 (*.f64 z z)))))
(fma.f64 -1/2 (.f64 y (.f64 y (cbrt.f64 (.f64 z z)))) (cbrt.f64 (.f64 z z)))
(.f64 (fma.f64 -1/2 (.f64 y y) 1) (cbrt.f64 (*.f64 z z)))
(.f64 (cbrt.f64 (.f64 z z)) (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2)))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (cbrt.f64 (.f64 z z))) (+.f64 (cbrt.f64 (.f64 z z)) (.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 (*.f64 z z))))))
(fma.f64 1/24 (.f64 (pow.f64 y 4) (cbrt.f64 (.f64 z z))) (fma.f64 -1/2 (.f64 y (.f64 y (cbrt.f64 (.f64 z z)))) (cbrt.f64 (.f64 z z))))
(fma.f64 -1/2 (.f64 y (.f64 y (cbrt.f64 (.f64 z z)))) (.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (cbrt.f64 (*.f64 z z))))
(.f64 (cbrt.f64 (.f64 z z)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y y) 1)))
(.f64 (cbrt.f64 (.f64 z z)) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 6))) (+.f64 (.f64 1/24 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 4))) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (.f64 -1/2 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 2))))))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) (cbrt.f64 (.f64 z z))) (fma.f64 1/24 (.f64 (pow.f64 y 4) (cbrt.f64 (.f64 z z))) (+.f64 (cbrt.f64 (.f64 z z)) (.f64 -1/2 (.f64 (.f64 y y) (cbrt.f64 (*.f64 z z)))))))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) (cbrt.f64 (.f64 z z))) (fma.f64 1/24 (.f64 (pow.f64 y 4) (cbrt.f64 (.f64 z z))) (fma.f64 -1/2 (.f64 y (.f64 y (cbrt.f64 (.f64 z z)))) (cbrt.f64 (.f64 z z)))))
(+.f64 (.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (cbrt.f64 (.f64 z z))) (.f64 (cbrt.f64 (.f64 z z)) (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 (.f64 z z)) (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))))))
(.f64 (cbrt.f64 (.f64 z z)) (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6)))))
(.f64 (cbrt.f64 (.f64 z z)) (fma.f64 (.f64 y y) (fma.f64 y (fma.f64 -1/720 (pow.f64 y 3) (.f64 y 1/24)) -1/2) 1))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (cos.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (cos.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (cos.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (cos.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (cos.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (cos.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (cos.f64 y) (cbrt.f64 (.f64 z z)))
(.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3) (cos.f64 y))
(.f64 (cos.f64 y) (cbrt.f64 (.f64 z z)))

eval148.0ms (1.6%)

Compiler: Compiled 9104 to 3916 computations (57% saved)

prune92.0ms (1%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	504	11	515
Fresh	7	5	12
Picked	0	1	1
Done	2	5	7
Total	513	22	535

Error

Counts

535 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	38.5b	(/.f64 1 (/.f64 (-.f64 x (.f64 z (cos.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
	30.5b	(+.f64 (sin.f64 y) x)
	36.4b	(+.f64 z (sin.f64 y))
	18.2b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
✓	26.6b	(+.f64 (+.f64 y x) z)
	18.2b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 3))) (cbrt.f64 z)))
✓	10.2b	(+.f64 x (*.f64 z (cos.f64 y)))
	45.6b	z
▶	33.2b	(*.f64 (cos.f64 y) z)
▶	31.1b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	23.3b	(+.f64 z x)
▶	23.5b	(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
▶	0.9b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)) (cbrt.f64 z)))
✓	0.6b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	38.3b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (cos.f64 y)))
✓	0.3b	(fma.f64 (cbrt.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))) (*.f64 (cbrt.f64 (cos.f64 y)) z) (+.f64 x (sin.f64 y)))
▶	27.2b	(+.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) z)
	40.1b	x
	10.8b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
	37.1b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
✓	25.3b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	9.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (sqrt.f64 (*.f64 z (cbrt.f64 z)))) (cbrt.f64 z)))

Compiler

Compiled 492 to 333 computations (32.3% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 (cos.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)) (cbrt.f64 z))
	0.2b	(*.f64 (cos.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2))
	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)) (cbrt.f64 z)))
	0.0b	(+.f64 x (sin.f64 y))
✓	0.5b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)
	0.5b	(cbrt.f64 z)
✓	0.6b	(cbrt.f64 (cbrt.f64 z))
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)

series45.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	z	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
7.0ms	z	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
3.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
1.0ms	z	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)
1.0ms	z	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
501×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
500×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	171	14
2	1534	14

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)
(cbrt.f64 (cbrt.f64 z))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)

Outputs

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

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

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

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

828×	`sqr-pow_binary64`
676×	`unswap-sqr_binary64`
651×	`fma-def_binary64`
340×	`cube-prod_binary64`
335×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	392
1	77	332
2	149	332
3	381	332
4	1397	288
5	2750	288
6	2948	288
7	3254	288
8	3682	288
9	4159	288
10	4791	288
11	5579	288
12	6530	288
13	7351	288

Stop Event

1×	node limit

Counts

99 → 74

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 z 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 z 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 z 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 z 1/3))
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(.f64 (pow.f64 (.f64 -1 z) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 z) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 z) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 z) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(pow.f64 z 1/9)
(pow.f64 z 1/9)
(pow.f64 z 1/9)
(pow.f64 z 1/9)
(pow.f64 z 1/9)
(pow.f64 z 1/9)
(pow.f64 z 1/9)
(pow.f64 z 1/9)
(.f64 (pow.f64 (.f64 -1 z) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 2) 1/3))
(pow.f64 (pow.f64 z 2) 1/3)
(pow.f64 (pow.f64 z 2) 1/3)
(pow.f64 (pow.f64 z 2) 1/3)
(pow.f64 (pow.f64 z 2) 1/3)
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 z 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 z 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 z 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 z 2) 1/3)))

Outputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 z 1/3))
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 z 1/3))
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 z 1/3))
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 z 1/3))
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(pow.f64 z 1/3)
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(pow.f64 z 1/3)
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(pow.f64 z 1/3)
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(pow.f64 z 1/3)
(*.f64 1 (cbrt.f64 z))
(cbrt.f64 z)
(.f64 (pow.f64 (.f64 -1 z) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 -1 z) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 -1 z) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 -1 z) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 -1))
(pow.f64 z 1/9)
(*.f64 (pow.f64 z 1/18) (pow.f64 z 1/18))
(pow.f64 (pow.f64 z 1/36) 4)
(pow.f64 z 1/9)
(*.f64 (pow.f64 z 1/18) (pow.f64 z 1/18))
(pow.f64 (pow.f64 z 1/36) 4)
(pow.f64 z 1/9)
(*.f64 (pow.f64 z 1/18) (pow.f64 z 1/18))
(pow.f64 (pow.f64 z 1/36) 4)
(pow.f64 z 1/9)
(*.f64 (pow.f64 z 1/18) (pow.f64 z 1/18))
(pow.f64 (pow.f64 z 1/36) 4)
(pow.f64 z 1/9)
(*.f64 (pow.f64 z 1/18) (pow.f64 z 1/18))
(pow.f64 (pow.f64 z 1/36) 4)
(pow.f64 z 1/9)
(*.f64 (pow.f64 z 1/18) (pow.f64 z 1/18))
(pow.f64 (pow.f64 z 1/36) 4)
(pow.f64 z 1/9)
(*.f64 (pow.f64 z 1/18) (pow.f64 z 1/18))
(pow.f64 (pow.f64 z 1/36) 4)
(pow.f64 z 1/9)
(*.f64 (pow.f64 z 1/18) (pow.f64 z 1/18))
(pow.f64 (pow.f64 z 1/36) 4)
(.f64 (pow.f64 (.f64 -1 z) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 z) 1/18) (pow.f64 (neg.f64 z) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 z) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 z) 1/18) (pow.f64 (neg.f64 z) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 z) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 z) 1/18) (pow.f64 (neg.f64 z) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 z) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 z) 1/18) (pow.f64 (neg.f64 z) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 2) 1/3))
(.f64 1 (cbrt.f64 (.f64 z z)))
(cbrt.f64 (*.f64 z z))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 2) 1/3))
(.f64 1 (cbrt.f64 (.f64 z z)))
(cbrt.f64 (*.f64 z z))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 2) 1/3))
(.f64 1 (cbrt.f64 (.f64 z z)))
(cbrt.f64 (*.f64 z z))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 2) 1/3))
(.f64 1 (cbrt.f64 (.f64 z z)))
(cbrt.f64 (*.f64 z z))
(pow.f64 (pow.f64 z 2) 1/3)
(.f64 1 (cbrt.f64 (.f64 z z)))
(cbrt.f64 (*.f64 z z))
(pow.f64 (pow.f64 z 2) 1/3)
(.f64 1 (cbrt.f64 (.f64 z z)))
(cbrt.f64 (*.f64 z z))
(pow.f64 (pow.f64 z 2) 1/3)
(.f64 1 (cbrt.f64 (.f64 z z)))
(cbrt.f64 (*.f64 z z))
(pow.f64 (pow.f64 z 2) 1/3)
(.f64 1 (cbrt.f64 (.f64 z z)))
(cbrt.f64 (*.f64 z z))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 z 2) 1/3)))
(.f64 1 (.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (cbrt.f64 (.f64 z z)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 z 2) 1/3)))
(.f64 1 (.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (cbrt.f64 (.f64 z z)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 z 2) 1/3)))
(.f64 1 (.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (cbrt.f64 (.f64 z z)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 z 2) 1/3)))
(.f64 1 (.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (cbrt.f64 (.f64 z z)) (pow.f64 (cbrt.f64 -1) 2))

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite33.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
422×	`add-log-exp_binary64`
422×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1146	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)

Outputs

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

simplify117.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

805×	`*-commutative_binary64`
779×	`distribute-lft-out_binary64`
526×	`associate-+l+_binary64`
521×	`distribute-rgt-out_binary64`
515×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	63	112
2	167	108
3	536	105
4	2108	105
5	4248	105
6	4480	105
7	4772	105
8	5145	105
9	5542	105
10	5933	105
11	7442	105
12	7866	105

Stop Event

1×	node limit

Counts

23 → 19

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 7

Calls

6 calls:

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

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`pow1_binary64`
742×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
725×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	9
2	1999	9

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

627×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
523×	`sqr-pow_binary64`
502×	`fma-def_binary64`
491×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	55
1	45	55
2	113	55
3	316	50
4	800	50
5	2720	50
6	4683	50
7	5917	50
8	6178	50
9	6481	50
10	6864	50
11	7397	50
12	7998	50

Stop Event

1×	node limit

Counts

42 → 45

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
	0.0b	(-.f64 x (sin.f64 y))
	0.0b	(-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))
	0.0b	(+.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))) z)
✓	0.0b	(-.f64 x (sin.f64 y))
	0.2b	(/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2))))
	0.2b	(pow.f64 (sin.f64 y) 2)
	18.4b	(/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) 2)))

series2.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`pow1_binary64`
578×	`add-log-exp_binary64`
578×	`log1p-expm1-u_binary64`
578×	`expm1-log1p-u_binary64`
565×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	109	6
2	1517	6

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

560×	`cancel-sign-sub-inv_binary64`
471×	`fma-def_binary64`
445×	`neg-mul-1_binary64`
431×	`neg-sub0_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	52	95
2	114	95
3	281	95
4	700	95
5	1781	95
6	4215	95
7	5527	95
8	6771	95

Stop Event

1×	node limit

Counts

51 → 46

Calls

Call 1

Inputs
(*.f64 -1 (sin.f64 y))
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 y) x)
(+.f64 (.f64 -1 y) (+.f64 (.f64 1/6 (pow.f64 y 3)) x))
(+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 -1 y) (+.f64 (*.f64 1/6 (pow.f64 y 3)) x)))

Outputs
(*.f64 -1 (sin.f64 y))
(neg.f64 (sin.f64 y))
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(fma.f64 -1 (sin.f64 y) x)
(-.f64 x (sin.f64 y))
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(fma.f64 -1 (sin.f64 y) x)
(-.f64 x (sin.f64 y))
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(fma.f64 -1 (sin.f64 y) x)
(-.f64 x (sin.f64 y))
x
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(fma.f64 -1 (sin.f64 y) x)
(-.f64 x (sin.f64 y))
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(fma.f64 -1 (sin.f64 y) x)
(-.f64 x (sin.f64 y))
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(fma.f64 -1 (sin.f64 y) x)
(-.f64 x (sin.f64 y))
x
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(fma.f64 -1 (sin.f64 y) x)
(-.f64 x (sin.f64 y))
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(fma.f64 -1 (sin.f64 y) x)
(-.f64 x (sin.f64 y))
(+.f64 (*.f64 -1 (sin.f64 y)) x)
(fma.f64 -1 (sin.f64 y) x)
(-.f64 x (sin.f64 y))
x
(+.f64 (*.f64 -1 y) x)
(fma.f64 -1 y x)
(-.f64 x y)
(+.f64 (.f64 -1 y) (+.f64 (.f64 1/6 (pow.f64 y 3)) x))
(fma.f64 -1 y (fma.f64 1/6 (pow.f64 y 3) x))
(-.f64 (fma.f64 1/6 (pow.f64 y 3) x) y)
(fma.f64 1/6 (pow.f64 y 3) (-.f64 x y))
(-.f64 x (fma.f64 (pow.f64 y 3) -1/6 y))
(+.f64 (.f64 -1/120 (pow.f64 y 5)) (+.f64 (.f64 -1 y) (+.f64 (*.f64 1/6 (pow.f64 y 3)) x)))
(fma.f64 -1/120 (pow.f64 y 5) (fma.f64 -1 y (fma.f64 1/6 (pow.f64 y 3) x)))
(fma.f64 -1/120 (pow.f64 y 5) (-.f64 (fma.f64 1/6 (pow.f64 y 3) x) y))
(-.f64 (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) x)) y)
(fma.f64 1/6 (pow.f64 y 3) (-.f64 (fma.f64 -1/120 (pow.f64 y 5) x) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (-.f64 x y)))
(-.f64 (fma.f64 -1/120 (pow.f64 y 5) x) (fma.f64 (pow.f64 y 3) -1/6 y))

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series10.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log-prod_binary64`
545×	`fma-def_binary64`
325×	`pow2_binary64`
253×	`fma-neg_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	239	26
2	3403	26

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

421×	`*-commutative_binary64`
406×	`fma-neg_binary64`
363×	`distribute-lft-out_binary64`
322×	`neg-mul-1_binary64`
321×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	58	733
1	156	724
2	457	707
3	1587	703
4	2734	703
5	4391	702
6	7467	702

Stop Event

1×	node limit

Counts

202 → 164

Calls

Call 1

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

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

eval179.0ms (2%)

Compiler: Compiled 11972 to 4914 computations (59% saved)

prune162.0ms (1.8%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	645	13	658
Fresh	5	6	11
Picked	1	0	1
Done	3	7	10
Total	654	26	680

Error

Counts

680 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	38.5b	(/.f64 1 (/.f64 (-.f64 x (.f64 z (cos.f64 y))) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) 2))))
	30.5b	(+.f64 (sin.f64 y) x)
	18.2b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
✓	26.6b	(+.f64 (+.f64 y x) z)
	18.2b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (cos.f64 y) 3))) (cbrt.f64 z)))
	36.4b	(+.f64 (sin.f64 y) z)
✓	10.2b	(+.f64 x (*.f64 z (cos.f64 y)))
	44.9b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)) (sin.f64 y))
	26.6b	(+.f64 (/.f64 1 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x)))) z)
✓	23.3b	(+.f64 z x)
✓	23.5b	(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
✓	0.9b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)) (cbrt.f64 z)))
	31.1b	(fma.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) (.f64 (cos.f64 y) (sqrt.f64 z))) (+.f64 x (sin.f64 y)))
	40.1b	x
	49.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
✓	0.6b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
	38.3b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (cos.f64 y)))
	9.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (sqrt.f64 (*.f64 z (cbrt.f64 z)))) (cbrt.f64 z)))
	53.0b	(sin.f64 y)
	23.4b	(+.f64 (/.f64 1 (/.f64 1 x)) z)
	43.5b	(+.f64 (sin.f64 y) (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	29.0b	(+.f64 (/.f64 1 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (.f64 x x) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y))))))) z)
	44.2b	(+.f64 z y)
✓	33.2b	(*.f64 (cos.f64 y) z)
	45.6b	z
	33.8b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)

Compiler

Compiled 320 to 221 computations (30.9% saved)

regimes154.0ms (1.7%)

Counts

53 → 1

Calls

Call 1

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

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

Calls

4 calls:

52.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
30.0ms	z
29.0ms	x
27.0ms	y

Results

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

Compiler

Compiled 573 to 204 computations (64.4% saved)

regimes146.0ms (1.6%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	x
41.0ms	y
32.0ms	z

Results

Error	Segments	Branch
2.4b	3	`x`
7.1b	3	`y`
0.7b	3	`z`

Compiler

Compiled 111 to 43 computations (61.3% saved)

bsearch253.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	0.0006243750596830401	6733484621.937862
185.0ms	-29857039.367868867	-2.3776344618534597e-6

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes180.0ms (2%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	y
66.0ms	z
30.0ms	x

Results

Error	Segments	Branch
7.9b	3	`x`
7.0b	5	`y`
2.7b	3	`z`

Compiler

Compiled 83 to 38 computations (54.2% saved)

bsearch113.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	8.515828206713084e-26	1.2314320540499408e-22
61.0ms	-1.5756044624791378e-42	-2.2754654292736928e-48

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes133.0ms (1.5%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	y
39.0ms	x
25.0ms	z

Results

Error	Segments	Branch
14.6b	5	`x`
11.2b	6	`y`
9.4b	3	`z`

Compiler

Compiled 77 to 36 computations (53.2% saved)

bsearch135.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	2.865448592767312e+35	4.7735830679328713e+36
62.0ms	-1.4522050599370842e-38	-4.963770384116409e-41

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes210.0ms (2.3%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

3 calls:

100.0ms	x
72.0ms	y
34.0ms	z

Results

Error	Segments	Branch
14.7b	5	`x`
16.2b	7	`y`
14.0b	5	`z`

Compiler

Compiled 65 to 34 computations (47.7% saved)

bsearch199.0ms (2.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
47.0ms	2.865448592767312e+35	4.7735830679328713e+36
50.0ms	4.80973166203007e-148	3.7077226515627543e-147
50.0ms	4.4165067524867927e-213	5.318155793523016e-207
51.0ms	-3.206579003040929e+88	-4.049397213218827e+85

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes95.0ms (1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	y
29.0ms	z
21.0ms	x

Results

Error	Segments	Branch
16.1b	3	`x`
20.0b	3	`y`
21.6b	3	`z`

Compiler

Compiled 61 to 32 computations (47.5% saved)

bsearch192.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	3.793250411003257e-36	2.7749076794356837e-32
85.0ms	-4.931190904755021e-66	-8.099289793054323e-77

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes68.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
21.0ms	y
20.0ms	x

Results

Error	Segments	Branch
21.6b	3	`x`
20.3b	3	`y`
21.9b	3	`z`

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch177.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
121.0ms	3.0024992967316267e+103	3.0095973573831157e+108
56.0ms	-14618774516040.238	-71684.1162285722

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes148.0ms (1.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

118.0ms	y
21.0ms	x
6.0ms	z

Results

Error	Segments	Branch
21.6b	3	`x`
21.4b	3	`y`
23.3b	1	`z`

Compiler

Compiled 55 to 30 computations (45.5% saved)

bsearch216.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	27571.91642154239	23785967.574953187
176.0ms	-14618774516040.238	-71684.1162285722

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes29.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
6.0ms	z
5.0ms	y

Results

Error	Segments	Branch
21.9b	3	`x`
23.3b	1	`y`
23.3b	1	`z`

Compiler

Compiled 25 to 14 computations (44% saved)

bsearch262.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
188.0ms	7.937809847709668e-90	1.0233240708362568e-85
74.0ms	-7.656691963095304e-122	-1.5800314266351055e-127

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes59.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

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

Outputs
x
(+.f64 z y)
x

Calls

3 calls:

26.0ms	y
17.0ms	x
13.0ms	z

Results

Error	Segments	Branch
29.1b	3	`x`
32.2b	5	`y`
30.6b	3	`z`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch135.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	35029591254918944.0	5.04648895387772e+22
61.0ms	-3.157460698626907e+27	-7.009290683518524e+22

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes54.0ms (0.6%)

Accuracy

Total -31.6b remaining (-103.9%)

Threshold costs -31.6b (-103.9%)

Counts

4 → 3

Calls

Call 1

Inputs
x
z
z
x

Outputs
x
z
x

Calls

3 calls:

26.0ms	y
15.0ms	x
12.0ms	z

Results

Error	Segments	Branch
30.5b	3	`x`
32.9b	7	`y`
30.6b	3	`z`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch94.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	35029591254918944.0	5.04648895387772e+22
46.0ms	-3.157460698626907e+27	-7.009290683518524e+22

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	306
1	88	306

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -128235007640381296/4294967296) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 11517686931980168/18446744073709551616) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -9890229505710794/6277101735386680763835789423207666416102355444464034512896) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 7418332616889393/87112285931760246646623899502532662132736) (+.f64 (sin.f64 y) x) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -1390936111735289/95780971304118053647396689196894323976171195136475136) (.f64 (cos.f64 y) z) (if (<=.f64 z 286544859276731203854390918639517696) (+.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(if (<=.f64 z -32065790030409290836831267499501047432716570090169902139152947565101243858978344034893824) (.f64 (cos.f64 y) z) (if (<=.f64 z 6856706638003994624/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (+.f64 z x) (if (<=.f64 z 27697367196618568/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 (sin.f64 y) z) (if (<=.f64 z 286544859276731203854390918639517696) (+.f64 z x) (.f64 (cos.f64 y) z)))))
(if (<=.f64 x -4677573814596693/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (+.f64 z x) (if (<=.f64 x 2838446943481539/748288838313422294120286634350736906063837462003712) (+.f64 (sin.f64 y) z) (+.f64 z x)))
(if (<=.f64 y -3742406276106301/256) (+.f64 z x) (if (<=.f64 y 30024992967316266569772090093710115456368911323721515957890951802681801762467792843882150589195765153792) (+.f64 (+.f64 y x) z) (sin.f64 y)))
(if (<=.f64 y -3742406276106301/256) (+.f64 z x) (if (<=.f64 y 7578910676388475/274877906944) (+.f64 (+.f64 y x) z) (+.f64 z x)))
(if (<=.f64 x -7123430680039189/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (+.f64 z x) (if (<=.f64 x 72821423598857936/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 z y) (+.f64 z x)))
(if (<=.f64 x -3157460698626907080709111808) x (if (<=.f64 x 35029591254918944) (+.f64 z y) x))
(if (<=.f64 x -3157460698626907080709111808) x (if (<=.f64 x 35029591254918944) z x))
x

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -128235007640381296/4294967296) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 11517686931980168/18446744073709551616) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -8014687977523831/268435456) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 1439710866497521/2305843009213693952) (+.f64 z (+.f64 x (sin.f64 y))) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -9890229505710794/6277101735386680763835789423207666416102355444464034512896) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 7418332616889393/87112285931760246646623899502532662132736) (+.f64 (sin.f64 y) x) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -4945114752855397/3138550867693340381917894711603833208051177722232017256448) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 7418332616889393/87112285931760246646623899502532662132736) (+.f64 x (sin.f64 y)) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -1390936111735289/95780971304118053647396689196894323976171195136475136) (.f64 (cos.f64 y) z) (if (<=.f64 z 286544859276731203854390918639517696) (+.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(if (<=.f64 z -1390936111735289/95780971304118053647396689196894323976171195136475136) (.f64 z (cos.f64 y)) (if (<=.f64 z 286544859276731203854390918639517696) (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
(if (<=.f64 z -32065790030409290836831267499501047432716570090169902139152947565101243858978344034893824) (.f64 (cos.f64 y) z) (if (<=.f64 z 6856706638003994624/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (+.f64 z x) (if (<=.f64 z 27697367196618568/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 (sin.f64 y) z) (if (<=.f64 z 286544859276731203854390918639517696) (+.f64 z x) (.f64 (cos.f64 y) z)))))
(if (<=.f64 z -32065790030409290836831267499501047432716570090169902139152947565101243858978344034893824) (.f64 z (cos.f64 y)) (if (<=.f64 z 209250080505493/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (+.f64 x z) (if (<=.f64 z 3462170899577321/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (+.f64 (sin.f64 y) z) (if (<=.f64 z 286544859276731203854390918639517696) (+.f64 x z) (.f64 z (cos.f64 y))))))
(if (<=.f64 x -4677573814596693/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (+.f64 z x) (if (<=.f64 x 2838446943481539/748288838313422294120286634350736906063837462003712) (+.f64 (sin.f64 y) z) (+.f64 z x)))
(if (<=.f64 x -4677573814596693/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (+.f64 x z) (if (<=.f64 x 2838446943481539/748288838313422294120286634350736906063837462003712) (+.f64 (sin.f64 y) z) (+.f64 x z)))
(if (<=.f64 y -3742406276106301/256) (+.f64 z x) (if (<=.f64 y 30024992967316266569772090093710115456368911323721515957890951802681801762467792843882150589195765153792) (+.f64 (+.f64 y x) z) (sin.f64 y)))
(if (<=.f64 y -3742406276106301/256) (+.f64 x z) (if (<=.f64 y 30024992967316266569772090093710115456368911323721515957890951802681801762467792843882150589195765153792) (+.f64 z (+.f64 x y)) (sin.f64 y)))
(if (<=.f64 y -3742406276106301/256) (+.f64 z x) (if (<=.f64 y 7578910676388475/274877906944) (+.f64 (+.f64 y x) z) (+.f64 z x)))
(if (<=.f64 y -3742406276106301/256) (+.f64 x z) (if (<=.f64 y 7578910676388475/274877906944) (+.f64 z (+.f64 x y)) (+.f64 x z)))
(if (<=.f64 x -7123430680039189/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (+.f64 z x) (if (<=.f64 x 72821423598857936/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 z y) (+.f64 z x)))
(if (<=.f64 x -7123430680039189/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (+.f64 x z) (if (<=.f64 x 4551338974928621/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (+.f64 y z) (+.f64 x z)))
(if (<=.f64 x -3157460698626907080709111808) x (if (<=.f64 x 35029591254918944) (+.f64 z y) x))
(if (<=.f64 x -3157460698626907080709111808) x (if (<=.f64 x 35029591254918944) (+.f64 y z) x))
(if (<=.f64 x -3157460698626907080709111808) x (if (<=.f64 x 35029591254918944) z x))
x

end93.0ms (1%)

Stop Event

1×

fuel

Compiler

Compiled 459 to 221 computations (51.9% saved)