Details

analyze367.0ms (4.3%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.1s (24.5%)

Results

1.1s	6198×	body	256	valid
713.0ms	1390×	body	1024	valid
230.0ms	663×	body	512	valid
8.0ms	5×	body	2048	valid

Bogosity

preprocess20.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

24×	`fma-def_binary64`
20×	`+-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 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.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 z (+.f64 (sin.f64 y) (*.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)))
(+.f64 x (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))))
(fma.f64 y (cos.f64 z) (+.f64 x (sin.f64 z)))
(+.f64 x (fma.f64 y (cos.f64 z) (sin.f64 z)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (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)))
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

eval1.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% 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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	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))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series12.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Expression
2.0ms	y	@	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
1.0ms	z	@	(*.f64 z (cos.f64 y))
1.0ms	y	@	(*.f64 z (cos.f64 y))
1.0ms	y	@	(+.f64 x (sin.f64 y))
1.0ms	x	@	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

rewrite78.0ms (0.9%)

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	2899	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 expm1.f64 (log1p.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 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 -.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 (+.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 expm1.f64 (log1p.f64 (+.f64 x (fma.f64 z (cos.f64 y) (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 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 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(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 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((#(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) 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Outputs

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(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 expm1.f64 (log1p.f64 (+.f64 x (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 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)))))

simplify164.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

767×	`distribute-rgt-out_binary64`
713×	`associate-l_binary64`
565×	`distribute-lft-out_binary64`
552×	`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	1155	665
4	3789	665
5	6746	665
6	7020	665
7	7307	665
8	7595	665
9	7966	665

Stop Event

1×	node limit

Counts

240 → 191

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

eval62.0ms (0.7%)

Compiler: Compiled 2871 to 911 computations (68.3% saved)

prune70.0ms (0.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	176	15	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	176	16	192

Error

0.0b

Counts

192 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	14.8b	(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
	22.9b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
▶	0.2b	(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
	18.0b	(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
	0.4b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
▶	11.3b	(+.f64 (+.f64 x (sin.f64 y)) z)
✓	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
	30.9b	(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
	28.3b	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
	25.0b	(+.f64 (sin.f64 y) x)
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
▶	30.1b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
	24.4b	(+.f64 y (+.f64 z x))
▶	21.1b	(+.f64 z x)
▶	32.3b	(+.f64 (log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
	34.7b	x

Compiler

Compiled 368 to 247 computations (32.9% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 22 computations (55.1% saved)

series32.0ms (0.4%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	z	@	0	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
3.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
3.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
3.0ms	y	@	-inf	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
3.0ms	y	@	inf	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))

rewrite114.0ms (1.3%)

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	30
1	176	30
2	1921	30

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify127.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def_binary64`
504×	`fma-neg_binary64`
490×	`distribute-rgt-neg-in_binary64`
438×	`cancel-sign-sub-inv_binary64`
373×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	548
1	153	527
2	396	516
3	1254	514
4	3033	514
5	4369	514
6	6341	514

Stop Event

1×	node limit

Counts

128 → 106

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sin.f64 y))
✓	0.1b	(expm1.f64 (+.f64 x (sin.f64 y)))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.6b	(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))

Compiler

Compiled 40 to 10 computations (75% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(expm1.f64 (+.f64 x (sin.f64 y)))
1.0ms	y	@	0	(expm1.f64 (+.f64 x (sin.f64 y)))
0.0ms	x	@	0	(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
0.0ms	x	@	inf	(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
0.0ms	y	@	inf	(expm1.f64 (+.f64 x (sin.f64 y)))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`pow1_binary64`
644×	`expm1-log1p-u_binary64`
643×	`add-log-exp_binary64`
643×	`log1p-expm1-u_binary64`
628×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	130	14
2	1718	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y))))
(expm1.f64 (+.f64 x (sin.f64 y)))

Outputs

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-neg_binary64`
353×	`cancel-sign-sub-inv_binary64`
314×	`fma-def_binary64`
279×	`distribute-rgt-neg-in_binary64`
241×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	443
1	187	426
2	470	402
3	1652	389
4	3749	385

Stop Event

1×	node limit

Counts

100 → 78

Calls

Call 1

Inputs
(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)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (+.f64 (*.f64 (exp.f64 (sin.f64 y)) x) (exp.f64 (sin.f64 y))) 1)
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 y)) x) (+.f64 (.f64 1/2 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 x 2))) (exp.f64 (sin.f64 y)))) 1)
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 y)) x) (+.f64 (.f64 1/2 (.f64 (exp.f64 (sin.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (sin.f64 y)) (.f64 1/6 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 x 3)))))) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (+.f64 (*.f64 y (exp.f64 x)) (exp.f64 x)) 1)
(-.f64 (+.f64 (.f64 y (exp.f64 x)) (+.f64 (exp.f64 x) (.f64 1/2 (*.f64 (pow.f64 y 2) (exp.f64 x))))) 1)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 4) (exp.f64 x))) (+.f64 (.f64 y (exp.f64 x)) (+.f64 (exp.f64 x) (.f64 1/2 (*.f64 (pow.f64 y 2) (exp.f64 x)))))) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)

Outputs
(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 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.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 (fma.f64 1/120 (pow.f64 y 5) x) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.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)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (+.f64 (*.f64 (exp.f64 (sin.f64 y)) x) (exp.f64 (sin.f64 y))) 1)
(+.f64 (*.f64 x (exp.f64 (sin.f64 y))) (expm1.f64 (sin.f64 y)))
(fma.f64 x (exp.f64 (sin.f64 y)) (expm1.f64 (sin.f64 y)))
(fma.f64 (+.f64 x 1) (exp.f64 (sin.f64 y)) -1)
(fma.f64 (exp.f64 (sin.f64 y)) (+.f64 x 1) -1)
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 y)) x) (+.f64 (.f64 1/2 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 x 2))) (exp.f64 (sin.f64 y)))) 1)
(+.f64 (fma.f64 (exp.f64 (sin.f64 y)) x (fma.f64 1/2 (.f64 (exp.f64 (sin.f64 y)) (.f64 x x)) (exp.f64 (sin.f64 y)))) -1)
(fma.f64 x (exp.f64 (sin.f64 y)) (+.f64 (.f64 (exp.f64 (sin.f64 y)) (.f64 (*.f64 x x) 1/2)) (expm1.f64 (sin.f64 y))))
(+.f64 (.f64 (exp.f64 (sin.f64 y)) (+.f64 (+.f64 x 1) (.f64 x (*.f64 x 1/2)))) -1)
(fma.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (.f64 x (+.f64 (.f64 x 1/2) 1))) -1)
(fma.f64 (exp.f64 (sin.f64 y)) (+.f64 1 (fma.f64 x (*.f64 x 1/2) x)) -1)
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 y)) x) (+.f64 (.f64 1/2 (.f64 (exp.f64 (sin.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (sin.f64 y)) (.f64 1/6 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 x 3)))))) 1)
(+.f64 (fma.f64 (exp.f64 (sin.f64 y)) x (+.f64 (fma.f64 1/2 (.f64 (exp.f64 (sin.f64 y)) (.f64 x x)) (exp.f64 (sin.f64 y))) (.f64 1/6 (.f64 (exp.f64 (sin.f64 y)) (pow.f64 x 3))))) -1)
(+.f64 (fma.f64 x (exp.f64 (sin.f64 y)) (fma.f64 1/2 (.f64 (exp.f64 (sin.f64 y)) (.f64 x x)) (fma.f64 1/6 (*.f64 (exp.f64 (sin.f64 y)) (pow.f64 x 3)) (exp.f64 (sin.f64 y))))) -1)
(+.f64 (.f64 (exp.f64 (sin.f64 y)) (+.f64 (+.f64 x 1) (.f64 x (.f64 x 1/2)))) (fma.f64 (exp.f64 (sin.f64 y)) (.f64 1/6 (pow.f64 x 3)) -1))
(+.f64 (.f64 (exp.f64 (sin.f64 y)) (+.f64 (+.f64 x 1) (.f64 (.f64 x x) (+.f64 1/2 (.f64 x 1/6))))) -1)
(fma.f64 (exp.f64 (sin.f64 y)) (+.f64 (+.f64 x 1) (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) -1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (-.f64 (sin.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (-.f64 (sin.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (-.f64 (sin.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (-.f64 (sin.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (+.f64 (*.f64 y (exp.f64 x)) (exp.f64 x)) 1)
(+.f64 (*.f64 y (exp.f64 x)) (expm1.f64 x))
(fma.f64 y (exp.f64 x) (expm1.f64 x))
(-.f64 (+.f64 (.f64 y (exp.f64 x)) (+.f64 (exp.f64 x) (.f64 1/2 (*.f64 (pow.f64 y 2) (exp.f64 x))))) 1)
(+.f64 (+.f64 (.f64 (+.f64 y 1) (exp.f64 x)) (.f64 1/2 (.f64 (exp.f64 x) (.f64 y y)))) -1)
(+.f64 -1 (.f64 (exp.f64 x) (+.f64 (+.f64 y 1) (.f64 1/2 (*.f64 y y)))))
(fma.f64 (exp.f64 x) (+.f64 y (fma.f64 1/2 (*.f64 y y) 1)) -1)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 4) (exp.f64 x))) (+.f64 (.f64 y (exp.f64 x)) (+.f64 (exp.f64 x) (.f64 1/2 (*.f64 (pow.f64 y 2) (exp.f64 x)))))) 1)
(+.f64 (fma.f64 -1/8 (.f64 (exp.f64 x) (pow.f64 y 4)) (+.f64 (.f64 (+.f64 y 1) (exp.f64 x)) (.f64 1/2 (.f64 (exp.f64 x) (*.f64 y y))))) -1)
(+.f64 -1 (fma.f64 -1/8 (.f64 (exp.f64 x) (pow.f64 y 4)) (.f64 (exp.f64 x) (+.f64 (+.f64 y 1) (.f64 1/2 (.f64 y y))))))
(+.f64 (.f64 (exp.f64 x) (+.f64 (fma.f64 -1/8 (pow.f64 y 4) y) (.f64 1/2 (*.f64 y y)))) (expm1.f64 x))
(fma.f64 (exp.f64 x) (+.f64 (fma.f64 -1/8 (pow.f64 y 4) y) (fma.f64 1/2 (*.f64 y y) 1)) -1)
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))
(-.f64 (exp.f64 (+.f64 (sin.f64 y) x)) 1)
(expm1.f64 (+.f64 (sin.f64 y) x))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 14 computations (67.4% saved)

series10.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	163	14
2	1592	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

398×	`*-commutative_binary64`
389×	`distribute-rgt-in_binary64`
382×	`distribute-lft-in_binary64`
316×	`distribute-lft-out_binary64`
307×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	293
1	144	289
2	411	241
3	1786	214
4	5193	213

Stop Event

1×	node limit

Counts

66 → 64

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

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

eval122.0ms (1.4%)

Compiler: Compiled 8298 to 3253 computations (60.8% saved)

prune88.0ms (1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	472	13	485
Fresh	6	4	10
Picked	1	0	1
Done	4	1	5
Total	483	18	501

Error

0.0b

Counts

501 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(+.f64 (log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y)))) z)
▶	28.3b	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
	37.9b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2))
	30.9b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	25.0b	(+.f64 (sin.f64 y) x)
▶	14.8b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
	44.3b	(+.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
	39.3b	(+.f64 (sin.f64 y) z)
▶	0.3b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z)))
	39.5b	(+.f64 (+.f64 y x) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
▶	24.4b	(+.f64 (+.f64 y x) z)
	34.7b	x
	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))
	14.8b	(fma.f64 (*.f64 z (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
	0.4b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
	10.3b	(+.f64 x (*.f64 z (cos.f64 y)))
✓	21.1b	(+.f64 z x)
▶	22.9b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))

Compiler

Compiled 434 to 297 computations (31.6% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 18 computations (67.3% saved)

series17.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
3.0ms	z	@	0	(*.f64 (cbrt.f64 (cos.f64 y)) z)
2.0ms	y	@	inf	(*.f64 (cbrt.f64 (cos.f64 y)) z)
2.0ms	y	@	-inf	(*.f64 (cbrt.f64 (cos.f64 y)) z)
1.0ms	z	@	0	(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	181	22
2	2014	22

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

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

Outputs

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

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

((#(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 expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 y)) z)))))))

simplify181.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1936×	`fma-def_binary64`
703×	`sqr-pow_binary64`
436×	`*-commutative_binary64`
417×	`cube-prod_binary64`
320×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	56	528
1	149	522
2	401	508
3	1267	506
4	2030	506
5	2780	506
6	2934	506
7	3125	506
8	3340	500
9	5257	500
10	5654	500
11	6134	500
12	6711	500
13	7393	500
14	7724	500

Stop Event

1×	node limit

Counts

103 → 68

Calls

Call 1

Inputs
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)
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)
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 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(fma.f64 -1/3 (*.f64 y y) 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 -1/405 (pow.f64 y 6))))
(+.f64 (fma.f64 -1/3 (.f64 y y) 1) (.f64 -1/405 (pow.f64 y 6)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 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 -1/405 (pow.f64 y 6)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (pow.f64 y 6) -1/1701 -1/3) (fma.f64 -1/405 (pow.f64 y 6) 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))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(.f64 z (fma.f64 (.f64 y y) -1/2 1))
(.f64 z (fma.f64 y (.f64 y -1/2) 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 (.f64 y y) z) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 (*.f64 y y) -1/2 1)))
(.f64 z (fma.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 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)) (*.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 (.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720))))
(.f64 z (fma.f64 y (.f64 y -1/2) (fma.f64 (pow.f64 y 6) -1/720 (fma.f64 1/24 (pow.f64 y 4) 1))))
(.f64 z (fma.f64 y (.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 (pow.f64 y 6) -1/720 1))))
(*.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 (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 -1/6 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/6 (.f64 (.f64 y y) z) z)
(fma.f64 (.f64 (.f64 y y) z) -1/6 z)
(.f64 z (fma.f64 (.f64 y y) -1/6 1))
(fma.f64 y (.f64 y (.f64 z -1/6)) z)
(fma.f64 (.f64 y (.f64 y z)) -1/6 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 z (pow.f64 y 4)) (fma.f64 -1/6 (.f64 (*.f64 y y) z) z))
(fma.f64 (.f64 z (pow.f64 y 4)) -1/72 (fma.f64 (.f64 (*.f64 y y) z) -1/6 z))
(fma.f64 z (fma.f64 (pow.f64 y 4) -1/72 (.f64 y (.f64 y -1/6))) z)
(.f64 z (fma.f64 y (.f64 y -1/6) (fma.f64 (pow.f64 y 4) -1/72 1)))
(+.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 z (pow.f64 y 4)) (fma.f64 -23/6480 (.f64 (pow.f64 y 6) z) (fma.f64 -1/6 (.f64 (.f64 y y) z) z)))
(fma.f64 (.f64 z (pow.f64 y 4)) -1/72 (fma.f64 (.f64 (pow.f64 y 6) z) -23/6480 (fma.f64 (.f64 (.f64 y y) z) -1/6 z)))
(fma.f64 z (fma.f64 (pow.f64 y 4) -1/72 (.f64 (pow.f64 y 6) -23/6480)) (.f64 z (fma.f64 (*.f64 y y) -1/6 1)))
(.f64 z (+.f64 (fma.f64 (.f64 y y) -1/6 1) (fma.f64 (pow.f64 y 4) -1/72 (*.f64 (pow.f64 y 6) -23/6480))))
(.f64 z (fma.f64 y (.f64 y -1/6) (fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 (pow.f64 y 4) -1/72 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)))

localize6.0ms (0.1%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

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	2001	9

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify129.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
507×	`sqr-pow_binary64`
505×	`distribute-lft-out_binary64`
504×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	208
1	48	208
2	117	208
3	317	203
4	824	203
5	2856	203
6	4829	203
7	6064	203
8	6325	203
9	6636	203
10	7019	203
11	7596	203

Stop Event

1×	node limit

Counts

59 → 44

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
✓	0.1b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
	0.1b	(*.f64 z (cos.f64 y))
✓	41.3b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series12.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
515×	`fma-def_binary64`
441×	`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	3431	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 expm1.f64 (log1p.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 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 +.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 expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))))) (#(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 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 -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (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 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (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 (+.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 z (cos.f64 y)) 3) (pow.f64 (+.f64 x (sin.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 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 (+.f64 x (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 (+.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 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (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 (+.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 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (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 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (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)))))))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

857×	`distribute-rgt-out_binary64`
678×	`distribute-rgt-in_binary64`
674×	`distribute-lft-in_binary64`
656×	`fma-def_binary64`
506×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1042
1	249	1013
2	886	979
3	4666	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 (cos.f64 y) (.f64 (cbrt.f64 -1) (neg.f64 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 (cos.f64 y) (.f64 (cbrt.f64 -1) (neg.f64 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 (cos.f64 y) (.f64 (cbrt.f64 -1) (neg.f64 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 (cos.f64 y) (.f64 (cbrt.f64 -1) (neg.f64 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 (.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 (fma.f64 1/24 (pow.f64 y 4) 1) (.f64 y (*.f64 y -1/2))))
(+.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 y (.f64 (pow.f64 z 3) -3/2)) (pow.f64 z 3))
(.f64 (+.f64 (.f64 (*.f64 y y) -3/2) 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 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 z 3) 7/8) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (.f64 (+.f64 (.f64 (.f64 y y) -3/2) 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 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)) (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 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 -1/720 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 z 3) -1/6) (*.f64 (pow.f64 z 3) -31/360))) (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 (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 (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 (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 (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 (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 (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 (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 (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 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.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 (.f64 y y) (.f64 z -1/2) (+.f64 z (+.f64 y x)))
(+.f64 y (fma.f64 z (.f64 y (.f64 y -1/2)) (+.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))))
(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)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 (.f64 y y) (.f64 z -1/2) (+.f64 z (+.f64 y x))))
(+.f64 (+.f64 z x) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 z (.f64 y (.f64 y -1/2)) y)))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)
(+.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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (cos.f64 y) (.f64 (cbrt.f64 -1) (neg.f64 z)))
(+.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))
(+.f64 x (fma.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.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))
(+.f64 x (fma.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.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))
(+.f64 x (fma.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (sin.f64 y) (-.f64 x (.f64 (cos.f64 y) (.f64 z (cbrt.f64 -1)))))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 10 computations (77.8% saved)

series6.0ms (0.1%)

Counts

3 → 44

Calls

15 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary64`
588×	`add-log-exp_binary64`
588×	`log1p-expm1-u_binary64`
588×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	138	19
2	1640	19

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

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

Outputs

((#(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 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 expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 z (cos.f64 y))))))))

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

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

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1013×	`fma-def_binary64`
950×	`distribute-rgt-out_binary64`
761×	`distribute-lft-out_binary64`
654×	`associate-l_binary64`
487×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	402
1	119	392
2	318	379
3	1042	374
4	4130	374
5	7361	374
6	7708	374
7	7938	374

Stop Event

1×	node limit

Counts

86 → 66

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 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 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
z
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z)))))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))

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

eval270.0ms (3.1%)

Compiler: Compiled 9691 to 3468 computations (64.2% saved)

prune192.0ms (2.2%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	555	10	565
Fresh	4	8	12
Picked	1	0	1
Done	1	4	5
Total	561	22	583

Error

0.0b

Counts

583 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(+.f64 (log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y)))) z)
✓	28.3b	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
	37.9b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2))
	30.9b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶	28.6b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3) (sin.f64 y))
	25.0b	(+.f64 (sin.f64 y) x)
	45.9b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sin.f64 y))
▶	45.9b	(+.f64 y z)
✓	21.1b	(+.f64 z x)
	48.7b	z
✓	0.3b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z)))
	38.1b	(*.f64 (cos.f64 y) z)
	39.5b	(+.f64 (+.f64 y x) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
✓	24.4b	(+.f64 (+.f64 y x) z)
	34.7b	x
	53.0b	(sin.f64 y)
	14.8b	(fma.f64 (*.f64 z (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
	37.2b	(+.f64 (sin.f64 y) (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
	14.9b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1)) (sqrt.f64 (cos.f64 y))))
▶	0.2b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (.f64 (cbrt.f64 (cos.f64 y)) z)))
▶	10.3b	(+.f64 x (*.f64 z (cos.f64 y)))
▶	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))

Compiler

Compiled 467 to 320 computations (31.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) z)
✓	0.2b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (.f64 (cbrt.f64 (cos.f64 y)) z))
	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.4b	(pow.f64 (cbrt.f64 (cos.f64 y)) 4)

Compiler

Compiled 63 to 23 computations (63.5% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
2.0ms	y	@	inf	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (.f64 (cbrt.f64 (cos.f64 y)) z))
2.0ms	z	@	0	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (.f64 (cbrt.f64 (cos.f64 y)) z))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (cos.f64 y)) 4)

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`pow1_binary64`
782×	`add-log-exp_binary64`
782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	202	14
2	2320	14

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cos.f64 y)) 4)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (.f64 (cbrt.f64 (cos.f64 y)) z))

Outputs

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

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

simplify122.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

659×	`fma-def_binary64`
625×	`distribute-rgt-out_binary64`
503×	`associate-l_binary64`
479×	`distribute-lft-out_binary64`
422×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	304
1	102	298
2	256	292
3	806	287
4	3108	287
5	5391	287
6	6714	287
7	6990	287
8	7266	287
9	7609	287

Stop Event

1×	node limit

Counts

67 → 49

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 y 2)) (+.f64 (.f64 1/9 (pow.f64 y 4)) (*.f64 -2/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
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)

Outputs
1
(+.f64 1 (*.f64 -2/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -2/3 (.f64 y y)))
(fma.f64 -2/3 (*.f64 y y) 1)
(fma.f64 y (*.f64 -2/3 y) 1)
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -2/3 (.f64 y y) (.f64 1/9 (pow.f64 y 4))))
(fma.f64 -2/3 (*.f64 y y) (fma.f64 1/9 (pow.f64 y 4) 1))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/9) -2/3) 1)
(+.f64 1 (+.f64 (.f64 -2/3 (pow.f64 y 2)) (+.f64 (.f64 1/9 (pow.f64 y 4)) (*.f64 -2/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -2/3 (.f64 y y) (fma.f64 1/9 (pow.f64 y 4) (.f64 -2/405 (pow.f64 y 6)))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/9) -2/3) (fma.f64 -2/405 (pow.f64 y 6) 1))
(fma.f64 1/9 (pow.f64 y 4) (fma.f64 -2/405 (pow.f64 y 6) (fma.f64 y (*.f64 -2/3 y) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (pow.f64 (cos.f64 y) 4) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 4))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y -1/2) y 1))
(.f64 z (fma.f64 y (.f64 y -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 z (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 y (.f64 y -1/2) 1)))
(.f64 z (fma.f64 y (.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 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 (.f64 y y) z) (fma.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 y (.f64 y z)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(fma.f64 z (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)) (*.f64 z (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 z (+.f64 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 y (.f64 y -1/2) 1)) (*.f64 (pow.f64 y 6) -1/720)))
(.f64 z (+.f64 (.f64 (pow.f64 y 6) -1/720) (fma.f64 y (*.f64 y -1/2) (fma.f64 (pow.f64 y 4) 1/24 1))))
(*.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 (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)

localize5.0ms (0.1%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 13 computations (63.9% saved)

series27.0ms (0.3%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
3.0ms	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	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	z	@	0	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
907×	`add-log-exp_binary64`
907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	216	23
2	2524	23

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

793×	`associate-r_binary64`
765×	`associate-l_binary64`
614×	`fma-def_binary64`
241×	`unswap-sqr_binary64`
236×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	633
1	318	574
2	1057	522
3	6456	522

Stop Event

1×	node limit

Counts

130 → 119

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)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) z)
(+.f64 y (*.f64 (pow.f64 1 1/3) z))
(+.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 (pow.f64 1 1/3) z)))
(+.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 (pow.f64 1 1/3) z))))
(+.f64 (sin.f64 y) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(+.f64 (sin.f64 y) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(+.f64 (sin.f64 y) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(+.f64 (sin.f64 y) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (sin.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)) (sin.f64 y))

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 (.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 (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 (.f64 z -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 (.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 z (.f64 (.f64 y y) -1/2) (fma.f64 (fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (.f64 2/3 (.f64 z -23/2160)) (.f64 z 1/216))) (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 (.f64 -1/6 (cbrt.f64 z)) (.f64 y y) (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 (pow.f64 y 4) (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 (.f64 z z))))) (fma.f64 (.f64 -1/6 (cbrt.f64 z)) (.f64 y y) (cbrt.f64 z)))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 z -1/72) (pow.f64 y 4)) (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 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 (.f64 -1/6 (cbrt.f64 z)) (.f64 y y) (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 z (.f64 (pow.f64 y 4) -1/24)))) (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)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 y (*.f64 (pow.f64 1 1/3) z))
(+.f64 z y)
(+.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 (pow.f64 1 1/3) z)))
(+.f64 y (fma.f64 (.f64 z -1/2) (.f64 y y) z))
(+.f64 z (fma.f64 z (.f64 (.f64 y y) -1/2) y))
(+.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 (pow.f64 1 1/3) z))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 (.f64 z -1/2) (.f64 y y) z)))
(+.f64 (fma.f64 (.f64 z -1/2) (.f64 y y) z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (fma.f64 z (.f64 (.f64 y y) -1/2) z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (sin.f64 y) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (sin.f64 y) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.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 (.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 (.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 (.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))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 z) (cos.f64 y))
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.6b	(cbrt.f64 z)

Compiler

Compiled 51 to 18 computations (64.7% saved)

series12.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

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

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	181	23
2	2013	23

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify165.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

838×	`unswap-sqr_binary64`
756×	`distribute-rgt-out_binary64`
655×	`associate-+l+_binary64`
534×	`sqr-pow_binary64`
461×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	338
1	120	332
2	378	318
3	1378	314
4	2404	310
5	3990	310
6	5137	310
7	5586	310
8	5749	310
9	5964	310
10	6269	310
11	6630	310
12	7067	310
13	7811	310

Stop Event

1×	node limit

Counts

99 → 81

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

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

eval224.0ms (2.6%)

Compiler: Compiled 7355 to 3269 computations (55.6% saved)

prune73.0ms (0.8%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	395	10	405
Fresh	5	8	13
Picked	0	1	1
Done	3	5	8
Total	403	24	427

Error

0.0b

Counts

427 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(+.f64 (log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y)))) z)
✓	28.3b	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
	45.0b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) (sin.f64 y))
	10.6b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
	42.3b	(+.f64 (.f64 (.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)) (sin.f64 y))
	35.0b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
	37.9b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2))
	37.2b	(+.f64 (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (sin.f64 y))
	14.8b	(fma.f64 (*.f64 z (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
✓	10.3b	(+.f64 x (*.f64 z (cos.f64 y)))
	45.9b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)) (sin.f64 y))
✓	45.9b	(+.f64 y z)
✓	21.1b	(+.f64 z x)
	28.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z)) (sin.f64 y))
	48.7b	z
	38.1b	(*.f64 (cos.f64 y) z)
✓	24.4b	(+.f64 (+.f64 y x) z)
	34.7b	x
	53.0b	(sin.f64 y)
	25.0b	(+.f64 (sin.f64 y) x)
	14.9b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 y))) 1)) (sqrt.f64 (cos.f64 y))))
	33.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
✓	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))
	28.7b	(+.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z)) 3) (sin.f64 y))

Compiler

Compiled 274 to 191 computations (30.3% saved)

regimes146.0ms (1.7%)

Counts

49 → 1

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
26.0ms	z
24.0ms	x
24.0ms	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 504 to 154 computations (69.4% saved)

regimes99.0ms (1.1%)

Counts

15 → 3

Calls

Call 1

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

37.0ms	z
30.0ms	x
29.0ms	y

Results

Error	Segments	Branch
1.1b	4	`x`
7.0b	3	`y`
0.5b	3	`z`

Compiler

Compiled 76 to 28 computations (63.2% saved)

bsearch91.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	8.255363010356919e-46	4.948284004429801e-43
47.0ms	-764.4658699606699	-0.0004379723431898376

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes72.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

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

26.0ms	y
22.0ms	x
21.0ms	z

Results

Error	Segments	Branch
8.5b	3	`x`
7.0b	3	`y`
2.1b	3	`z`

Compiler

Compiled 55 to 24 computations (56.4% saved)

bsearch89.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	8.255363010356919e-46	4.948284004429801e-43
45.0ms	-1.8470280334412355e-53	-8.563682778899648e-62

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes85.0ms (1%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	z
25.0ms	y
20.0ms	x

Results

Error	Segments	Branch
13.7b	3	`x`
11.2b	4	`y`
7.6b	5	`z`

Compiler

Compiled 49 to 22 computations (55.1% saved)

bsearch338.0ms (3.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
52.0ms	1.2865172192115594e+152	5.582473929625616e+154
46.0ms	350413565150.9004	5.5497162710987944e+22
159.0ms	-1.8470280334412355e-53	-8.563682778899648e-62
81.0ms	-4.415234112267413e+78	-2.562511123360362e+74

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes176.0ms (2.1%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

3 calls:

100.0ms	y
57.0ms	z
17.0ms	x

Results

Error	Segments	Branch
13.7b	3	`x`
13.4b	6	`y`
14.3b	5	`z`

Compiler

Compiled 45 to 21 computations (53.3% saved)

bsearch478.0ms (5.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
80.0ms	8.238487680462956e+172	7.323125778418745e+173
117.0ms	3659287558771437.0	6.15549303359176e+21
106.0ms	-0.08996209833038692	-0.00011627691102091232
60.0ms	-3.427922393040104e+87	-1.0012482326530239e+80
115.0ms	-2.380352982134691e+160	-4.514646546284102e+150

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes51.0ms (0.6%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	y
15.0ms	z
15.0ms	x

Results

Error	Segments	Branch
18.1b	3	`x`
17.8b	3	`y`
19.8b	3	`z`

Compiler

Compiled 37 to 18 computations (51.4% saved)

bsearch78.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	2.0426390121999264e-34	9.30002974345612e-27
39.0ms	-6.769775456934134e+50	-7.78735560651104e+48

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes29.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
11.0ms	y
5.0ms	z

Results

Error	Segments	Branch
18.4b	3	`x`
20.0b	3	`y`
21.1b	1	`z`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch144.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
86.0ms	4.815017388032583e-136	1.2231052501874592e-122
58.0ms	-3.711949721195061e-102	-9.329586023543906e-104

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes153.0ms (1.8%)

Counts

3 → 3

Calls

Call 1

Inputs
z
x
(+.f64 y z)

Outputs
x
(+.f64 y z)
x

Calls

3 calls:

109.0ms	y
24.0ms	x
18.0ms	z

Results

Error	Segments	Branch
22.2b	3	`x`
30.0b	5	`y`
29.9b	3	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch199.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
109.0ms	2.955737922670193e-36	4.414279286242659e-35
90.0ms	-128085349078244210.0	-38335654704798056.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes76.0ms (0.9%)

Accuracy

Total -37.2b remaining (-148.4%)

Threshold costs -37.2b (-148.4%)

Counts

2 → 3

Calls

Call 1

Inputs
z
x

Outputs
x
z
x

Calls

3 calls:

36.0ms	y
22.0ms	z
16.0ms	x

Results

Error	Segments	Branch
25.1b	3	`x`
30.8b	7	`y`
29.9b	3	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch143.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
75.0ms	2.955737922670193e-36	4.414279286242659e-35
68.0ms	-128085349078244210.0	-38335654704798056.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	287
1	83	287

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -6724312904477217/8796093022208) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 5306342756204383/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -3983662181944627/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 5306342756204383/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (sin.f64 y) x) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -4415234112267412863547327255197025102267678976371523482830441578770461160898560) (.f64 (cos.f64 y) z) (if (<=.f64 z -3983662181944627/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 z x) (if (<=.f64 z 179411745357261/512) (+.f64 (sin.f64 y) x) (if (<=.f64 z 128651721921155943305039768075033692958458403246089579391415657474819270237029949107209835480333488153096732241115965354578097567014704493973420766134272) (+.f64 z x) (.f64 (cos.f64 y) z)))))
(if (<=.f64 y -23803529821346910895835810057182441163038312745936588216704602743019636104254115349291905698797042130462633690628524477015993811812571422614216731775587057664000) (.f64 (cos.f64 y) z) (if (<=.f64 y -3427922393040103950867094753607792593142220488302492835626793216502115444572065888206848) (+.f64 z x) (if (<=.f64 y -6482452360291175/72057594037927936) (.f64 (cos.f64 y) z) (if (<=.f64 y 3659287558771437) (+.f64 (+.f64 y x) z) (if (<=.f64 y 82384876804629561421751800966010149103211301180241848812986349085308714472890250008651584256877965308029060412931697314993132825123601097566476190459072512334940429344571392) (*.f64 (cos.f64 y) z) (+.f64 z x))))))
(if (<=.f64 y -676977545693413375057669691148341919518942438621184) (+.f64 z x) (if (<=.f64 y 4776512417289873/23384026197294446691258957323460528314494920687616) (+.f64 (+.f64 y x) z) (+.f64 z x)))
(if (<=.f64 x -2340132254643721/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (+.f64 z x) (if (<=.f64 x 1576143269484247/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (+.f64 y z) (+.f64 z x)))
(if (<=.f64 x -128085349078244208) x (if (<=.f64 x 8846982786055227/2993155353253689176481146537402947624255349848014848) (+.f64 y z) x))
(if (<=.f64 x -128085349078244208) x (if (<=.f64 x 8846982786055227/2993155353253689176481146537402947624255349848014848) z x))
z

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -6724312904477217/8796093022208) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 5306342756204383/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -6724312904477217/8796093022208) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 5306342756204383/6427752177035961102167848369364650410088811975131171341205504) (+.f64 z (+.f64 x (sin.f64 y))) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -3983662181944627/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 5306342756204383/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (sin.f64 y) x) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -3983662181944627/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z 5306342756204383/6427752177035961102167848369364650410088811975131171341205504) (+.f64 x (sin.f64 y)) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z -4415234112267412863547327255197025102267678976371523482830441578770461160898560) (.f64 (cos.f64 y) z) (if (<=.f64 z -3983662181944627/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 z x) (if (<=.f64 z 179411745357261/512) (+.f64 (sin.f64 y) x) (if (<=.f64 z 128651721921155943305039768075033692958458403246089579391415657474819270237029949107209835480333488153096732241115965354578097567014704493973420766134272) (+.f64 z x) (.f64 (cos.f64 y) z)))))
(if (<=.f64 z -4415234112267412863547327255197025102267678976371523482830441578770461160898560) (.f64 z (cos.f64 y)) (if (<=.f64 z -3983662181944627/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 x z) (if (<=.f64 z 179411745357261/512) (+.f64 x (sin.f64 y)) (if (<=.f64 z 128651721921155943305039768075033692958458403246089579391415657474819270237029949107209835480333488153096732241115965354578097567014704493973420766134272) (+.f64 x z) (.f64 z (cos.f64 y))))))
(if (<=.f64 y -23803529821346910895835810057182441163038312745936588216704602743019636104254115349291905698797042130462633690628524477015993811812571422614216731775587057664000) (.f64 (cos.f64 y) z) (if (<=.f64 y -3427922393040103950867094753607792593142220488302492835626793216502115444572065888206848) (+.f64 z x) (if (<=.f64 y -6482452360291175/72057594037927936) (.f64 (cos.f64 y) z) (if (<=.f64 y 3659287558771437) (+.f64 (+.f64 y x) z) (if (<=.f64 y 82384876804629561421751800966010149103211301180241848812986349085308714472890250008651584256877965308029060412931697314993132825123601097566476190459072512334940429344571392) (*.f64 (cos.f64 y) z) (+.f64 z x))))))
(if (<=.f64 y -23803529821346910895835810057182441163038312745936588216704602743019636104254115349291905698797042130462633690628524477015993811812571422614216731775587057664000) (.f64 z (cos.f64 y)) (if (<=.f64 y -3427922393040103950867094753607792593142220488302492835626793216502115444572065888206848) (+.f64 x z) (if (<=.f64 y -6482452360291175/72057594037927936) (.f64 z (cos.f64 y)) (if (<=.f64 y 3659287558771437) (+.f64 z (+.f64 x y)) (if (<=.f64 y 82384876804629561421751800966010149103211301180241848812986349085308714472890250008651584256877965308029060412931697314993132825123601097566476190459072512334940429344571392) (*.f64 z (cos.f64 y)) (+.f64 x z))))))
(if (<=.f64 y -676977545693413375057669691148341919518942438621184) (+.f64 z x) (if (<=.f64 y 4776512417289873/23384026197294446691258957323460528314494920687616) (+.f64 (+.f64 y x) z) (+.f64 z x)))
(if (<=.f64 y -676977545693413375057669691148341919518942438621184) (+.f64 x z) (if (<=.f64 y 4776512417289873/23384026197294446691258957323460528314494920687616) (+.f64 z (+.f64 x y)) (+.f64 x z)))
(if (<=.f64 x -2340132254643721/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (+.f64 z x) (if (<=.f64 x 1576143269484247/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (+.f64 y z) (+.f64 z x)))
(if (<=.f64 x -2340132254643721/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056) (+.f64 x z) (if (<=.f64 x 1576143269484247/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (+.f64 y z) (+.f64 x z)))
(if (<=.f64 x -128085349078244208) x (if (<=.f64 x 8846982786055227/2993155353253689176481146537402947624255349848014848) (+.f64 y z) x))
(if (<=.f64 x -128085349078244208) x (if (<=.f64 x 8846982786055227/2993155353253689176481146537402947624255349848014848) z x))
z

Compiler

Compiled 227 to 125 computations (44.9% saved)

soundness0.0ms (0%)

end79.0ms (0.9%)

Compiler: Compiled 200 to 77 computations (61.5% saved)