Details

analyze251.0ms (2.3%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.3s (21.4%)

Results

1.3s	6279×	body	256	valid
754.0ms	1297×	body	1024	valid
257.0ms	677×	body	512	valid
5.0ms	3×	body	2048	valid

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)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize14.0ms (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)

series13.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

simplify157.0ms (1.5%)

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)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`pow1_binary64`
838×	`add-log-exp_binary64`
838×	`log1p-expm1-u_binary64`
838×	`expm1-log1p-u_binary64`
818×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	167	12
2	2222	12

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

980×	`fma-def_binary64`
646×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
497×	`distribute-lft-out_binary64`
412×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	393
1	59	393
2	152	393
3	455	390
4	1232	388
5	3644	388
6	5623	388
7	6858	388
8	7119	388
9	7430	388
10	7813	388

Stop Event

1×	node limit

Counts

59 → 38

Calls

Call 1

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

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

eval60.0ms (0.6%)

Compiler: Compiled 4137 to 1286 computations (68.9% saved)

prune66.0ms (0.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	269	19	288
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	270	20	290

Error

0.0b

Counts

290 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	35.3b	(*.f64 (cos.f64 y) z)
	27.9b	(+.f64 (sin.f64 y) x)
✓	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
	29.6b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
	37.1b	x
	34.3b	(+.f64 (log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
	22.6b	(+.f64 y (+.f64 z x))
	0.6b	(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x (sin.f64 y)))
▶	25.6b	(fma.f64 (cos.f64 y) z (sin.f64 y))
▶	0.2b	(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
	21.2b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
▶	21.6b	(+.f64 z x)
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
▶	12.4b	(+.f64 (+.f64 x (sin.f64 y)) z)
	16.6b	(fma.f64 z (cos.f64 y) (+.f64 y x))
	25.7b	(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
	27.9b	(/.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))))
▶	29.1b	(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
	13.6b	(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
	16.6b	(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))

Compiler

Compiled 480 to 315 computations (34.4% saved)

localize24.0ms (0.2%)

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 (pow.f64 (cos.f64 y) 2))
✓	0.3b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 49 to 22 computations (55.1% saved)

series22.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

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

rewrite68.0ms (0.6%)

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	1920	30

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify88.0ms (0.8%)

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	1260	514
4	3052	514
5	4385	514
6	6357	514

Stop Event

1×	node limit

Counts

128 → 106

Calls

Call 1

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

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	159	9
2	2405	9

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify175.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

780×	`sqr-pow_binary64`
692×	`fma-def_binary64`
684×	`cube-prod_binary64`
604×	`fabs-mul_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	296
1	58	296
2	149	296
3	416	296
4	806	296
5	1428	296
6	2034	296
7	2704	296
8	2812	296
9	2974	296
10	3187	296
11	3517	296
12	3973	296
13	4571	296
14	5321	296
15	6255	296
16	6763	296
17	7251	296
18	7651	296
19	7977	296

Stop Event

1×	node limit

Counts

75 → 52

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`pow1_binary64`
517×	`add-log-exp_binary64`
517×	`log1p-expm1-u_binary64`
517×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	117	9
2	1380	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (sin.f64 y))

Outputs

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

simplify133.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	208
1	48	208
2	117	208
3	319	203
4	835	203
5	2855	203
6	4828	203
7	6067	203
8	6328	203
9	6639	203
10	7022	203
11	7599	203

Stop Event

1×	node limit

Counts

45 → 32

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series16.0ms (0.1%)

Counts

2 → 37

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	z	@	-inf	(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
1.0ms	z	@	inf	(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
1.0ms	z	@	0	(*.f64 (cos.f64 y) (sqrt.f64 z))
1.0ms	z	@	0	(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x (sin.f64 y)))
1.0ms	z	@	-inf	(*.f64 (cos.f64 y) (sqrt.f64 z))

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`prod-diff_binary64`
501×	`log-prod_binary64`
344×	`pow-prod-down_binary64`
279×	`pow2_binary64`
235×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	207	22
2	2698	20

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify174.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1975×	`fma-def_binary64`
662×	`sqr-pow_binary64`
416×	`cube-prod_binary64`
356×	`*-commutative_binary64`
351×	`pow-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	41	425
1	103	420
2	285	407
3	998	399
4	2534	399
5	3349	399
6	3504	399
7	3653	399
8	3819	399
9	4043	393
10	5434	393
11	5816	393
12	6291	393
13	6844	393
14	7593	393
15	7996	393

Stop Event

1×	node limit

Counts

92 → 77

Calls

Call 1

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

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

eval90.0ms (0.8%)

Compiler: Compiled 5913 to 2078 computations (64.9% saved)

prune80.0ms (0.7%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	375	10	385
Fresh	4	10	14
Picked	1	0	1
Done	1	4	5
Total	381	24	405

Error

Counts

405 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.6b	(+.f64 z x)
	22.6b	(+.f64 (+.f64 y x) z)
	35.3b	(*.f64 (cos.f64 y) z)
▶	27.9b	(+.f64 (sin.f64 y) x)
✓	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
	29.6b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2))
	53.2b	(sin.f64 y)
▶	16.6b	(fma.f64 z (cos.f64 y) (+.f64 y x))
▶	43.9b	(+.f64 z y)
	0.6b	(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x (sin.f64 y)))
✓	25.6b	(fma.f64 (cos.f64 y) z (sin.f64 y))
	46.8b	z
✓	0.2b	(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
	21.2b	(+.f64 (+.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
	37.8b	(+.f64 (sin.f64 y) z)
	16.6b	(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
▶	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
▶	43.2b	(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (sin.f64 y))
	25.7b	(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
	41.0b	(+.f64 (log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y)))) z)
	13.6b	(fma.f64 (*.f64 z (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
	27.9b	(/.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))))
	37.1b	x
	13.6b	(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))

Compiler

Compiled 493 to 326 computations (33.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 40 to 14 computations (65% saved)

series19.0ms (0.2%)

Counts

4 → 39

Calls

21 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`prod-diff_binary64`
549×	`log-prod_binary64`
375×	`pow-prod-down_binary64`
313×	`pow2_binary64`
247×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	249	31
2	3065	29

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (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 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 (.f64 z z) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 z) 2/3)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) (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) (sqrt.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 log.f64 (+.f64 1 (expm1.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 2/3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cbrt.f64 z) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.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)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (pow.f64 (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 log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 z) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 z (pow.f64 (cos.f64 y) 3)))))) (#(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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z (cos.f64 y)) 1) (+.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))))))))) (#(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 (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 (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 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 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 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 (exp.f64 (+.f64 x (sin.f64 y))) (exp.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)))) (exp.f64 (.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 z (cos.f64 y))) (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 y))))))))) (#(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))))))

simplify204.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

928×	`*-commutative_binary64`
632×	`distribute-lft-out_binary64`
629×	`sqr-pow_binary64`
539×	`associate-+l+_binary64`
394×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	493
1	152	433
2	404	431
3	1442	426
4	2729	424
5	2899	424
6	3045	424
7	3246	424
8	3529	424
9	3740	424
10	5132	424
11	5960	424
12	6351	424
13	6804	424
14	7330	424
15	7636	424

Stop Event

1×	node limit

Counts

137 → 121

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 7

Calls

6 calls:

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

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`pow1_binary64`
569×	`add-log-exp_binary64`
569×	`log1p-expm1-u_binary64`
569×	`expm1-log1p-u_binary64`
556×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	108	6
2	1511	6

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify158.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
710×	`cube-prod_binary64`
678×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	39
1	44	39
2	99	39
3	248	39
4	448	39
5	965	39
6	1427	39
7	2081	39
8	2189	39
9	2351	39
10	2564	39
11	2894	39
12	3350	39
13	3949	39
14	4700	39
15	5630	39
16	6140	39
17	6628	39
18	7026	39
19	7346	39
20	7508	39

Stop Event

1×	node limit

Counts

40 → 41

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`pow1_binary64`
759×	`add-log-exp_binary64`
759×	`log1p-expm1-u_binary64`
759×	`expm1-log1p-u_binary64`
741×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	148	10
2	2005	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify208.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3214×	`fma-def_binary64`
671×	`sqr-pow_binary64`
448×	`cube-prod_binary64`
430×	`distribute-lft-out_binary64`
420×	`*-commutative_binary64`

Iterations

Useful iterations: 19 (0.0ms)

Iter	Nodes	Cost
0	26	322
1	66	322
2	172	320
3	485	320
4	1542	320
5	2257	320
6	3425	320
7	3506	320
8	3639	320
9	3789	320
10	4019	320
11	4308	320
12	4659	320
13	5036	320
14	5523	320
15	6108	320
16	6826	320
17	7152	320
18	7414	320
19	7628	315

Stop Event

1×	node limit

Counts

59 → 39

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 8 computations (69.2% saved)

series2.0ms (0%)

Counts

1 → 13

Calls

6 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`pow1_binary64`
678×	`add-log-exp_binary64`
678×	`log1p-expm1-u_binary64`
678×	`expm1-log1p-u_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	157	11
2	1857	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	115
1	48	115
2	117	115
3	319	110
4	835	110
5	2855	110
6	4828	110
7	6067	110
8	6328	110
9	6639	110
10	7022	110
11	7599	110

Stop Event

1×	node limit

Counts

34 → 30

Calls

Call 1

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

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

eval67.0ms (0.6%)

Compiler: Compiled 4062 to 1427 computations (64.9% saved)

prune72.0ms (0.7%)

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	277	10	287
Fresh	8	7	15
Picked	0	1	1
Done	0	8	8
Total	285	26	311

Error

Counts

311 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.6b	(+.f64 z x)
	16.6b	(+.f64 (+.f64 (*.f64 z (cos.f64 y)) y) x)
	35.3b	(*.f64 (cos.f64 y) z)
✓	27.9b	(+.f64 (sin.f64 y) x)
	44.5b	(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) 3))
✓	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
▶	16.0b	(fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
	46.6b	(fma.f64 (sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2))) (sqrt.f64 z) (sin.f64 y))
✓	43.2b	(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (sin.f64 y))
	53.2b	(sin.f64 y)
	45.0b	(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) 2)
✓	16.6b	(fma.f64 z (cos.f64 y) (+.f64 y x))
	25.7b	(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
	58.4b	y
▶	51.3b	(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
▶	37.4b	(+.f64 y x)
✓	43.9b	(+.f64 z y)
	46.8b	z
	37.1b	x
✓	25.6b	(fma.f64 (cos.f64 y) z (sin.f64 y))
✓	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
	13.6b	(fma.f64 (*.f64 z (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
	27.9b	(/.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))))
▶	13.6b	(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
✓	0.2b	(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
▶	37.8b	(+.f64 (sin.f64 y) z)

Compiler

Compiled 458 to 309 computations (32.5% saved)

localize15.0ms (0.1%)

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series11.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.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	x	@	0	(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
1.0ms	y	@	-inf	(*.f64 z (sqrt.f64 (cos.f64 y)))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`prod-diff_binary64`
501×	`log-prod_binary64`
344×	`pow-prod-down_binary64`
279×	`pow2_binary64`
235×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	207	27
2	2698	25

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

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

simplify185.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1984×	`fma-def_binary64`
662×	`sqr-pow_binary64`
416×	`cube-prod_binary64`
360×	`*-commutative_binary64`
351×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	53	607
1	131	601
2	338	592
3	1159	590
4	1863	590
5	2650	590
6	2785	590
7	2934	590
8	3100	583
9	5026	583
10	5376	583
11	5754	583
12	6233	583
13	6786	583
14	7535	583
15	7942	583

Stop Event

1×	node limit

Counts

140 → 113

Calls

Call 1

Inputs
(*.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)))))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 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 (*.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 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))
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 (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)
(fma.f64 -1/4 (.f64 z (.f64 y y)) z)
(.f64 (fma.f64 -1/4 (.f64 y y) 1) z)
(.f64 z (fma.f64 -1/4 (.f64 y y) 1))
(.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 -1/96 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/4 (.f64 z (.f64 y y)) (*.f64 (fma.f64 -1/96 (pow.f64 y 4) 1) z))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 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 -1/96 (*.f64 z (pow.f64 y 4)))))
(fma.f64 -19/5760 (.f64 z (pow.f64 y 6)) (fma.f64 -1/4 (.f64 z (.f64 y y)) (.f64 (fma.f64 -1/96 (pow.f64 y 4) 1) z)))
(+.f64 z (.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 -19/5760 (pow.f64 y 6) (fma.f64 -1/96 (pow.f64 y 4) 1))))
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (pow.f64 y 4) -19/5760 -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(fma.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) -1/96 -1/4) (*.f64 -19/5760 (pow.f64 y 6))) z)
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (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 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 y (+.f64 z x)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 y (+.f64 z x)))
(fma.f64 (.f64 z (.f64 y y)) -1/2 (+.f64 y (+.f64 z x)))
(+.f64 y (fma.f64 z (.f64 y (.f64 y -1/2)) (+.f64 z x)))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y -1/2) 1) 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) (fma.f64 (.f64 z (.f64 y y)) -1/2 (+.f64 y (+.f64 z x))))
(+.f64 (+.f64 z x) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 z (.f64 y (.f64 y -1/2)) y)))
(+.f64 z (+.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 z (.f64 y (.f64 y -1/2)) y))))
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 y -1/6 (*.f64 z -1/2)) 1) x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (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 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
x
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 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 -1/96 (pow.f64 y 4)))
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/96 (pow.f64 y 4) 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) 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 -19/5760 (pow.f64 y 6))))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -19/5760 (pow.f64 y 6) (fma.f64 -1/96 (pow.f64 y 4) 1)))
(fma.f64 (*.f64 y y) (fma.f64 (pow.f64 y 4) -19/5760 -1/4) (fma.f64 -1/96 (pow.f64 y 4) 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/96 (pow.f64 y 4) (fma.f64 -19/5760 (pow.f64 y 6) 1)))

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`pow1_binary64`
569×	`add-log-exp_binary64`
569×	`log1p-expm1-u_binary64`
569×	`expm1-log1p-u_binary64`
556×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	108	6
2	1511	6

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify163.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
710×	`cube-prod_binary64`
683×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	141
1	46	141
2	101	141
3	245	141
4	441	141
5	944	141
6	1407	141
7	2061	141
8	2169	141
9	2331	141
10	2544	141
11	2874	141
12	3330	141
13	3927	141
14	4680	141
15	5612	141
16	6124	141
17	6612	141
18	7010	141
19	7336	141
20	7496	141

Stop Event

1×	node limit

Counts

57 → 42

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (0.5%)

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

Outputs

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

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

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-neg_binary64`
353×	`cancel-sign-sub-inv_binary64`
315×	`fma-def_binary64`
279×	`distribute-rgt-neg-in_binary64`
246×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	443
1	187	426
2	470	402
3	1653	389
4	3758	385

Stop Event

1×	node limit

Counts

100 → 78

Calls

Call 1

Inputs
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)
(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)
(-.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)
(-.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)

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
	0.2b	(*.f64 (cbrt.f64 z) (cos.f64 y))
	0.6b	(cbrt.f64 z)
✓	30.0b	(cbrt.f64 (*.f64 z z))

Compiler

Compiled 42 to 11 computations (73.8% saved)

series8.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`prod-diff_binary64`
560×	`log-prod_binary64`
396×	`pow-prod-down_binary64`
311×	`pow2_binary64`
252×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	243	20
2	3050	18

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (sqrt.f64 z))))) (#(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 1 1/3) (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 3) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 6) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (cbrt.f64 z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 z) 4/3)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 z)) 1))))))

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

simplify170.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1843×	`fma-def_binary64`
765×	`sqr-pow_binary64`
499×	`cube-prod_binary64`
370×	`pow-sqr_binary64`
285×	`fabs-mul_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	31	347
1	87	285
2	234	285
3	575	281
4	1623	281
5	2044	281
6	2596	281
7	2720	281
8	2874	281
9	3068	278
10	4617	278
11	4958	278
12	5390	278
13	5922	278
14	6584	278
15	7414	278
16	7817	278

Stop Event

1×	node limit

Counts

92 → 79

Calls

Call 1

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

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

eval110.0ms (1%)

Compiler: Compiled 7455 to 2441 computations (67.3% saved)

prune121.0ms (1.1%)

Pruning

27 alts after pruning (14 fresh and 13 done)

	Pruned	Kept	Total
New	498	5	503
Fresh	3	9	12
Picked	0	1	1
Done	1	12	13
Total	502	27	529

Error

Counts

529 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.6b	(+.f64 z x)
	35.3b	(*.f64 (cos.f64 y) z)
	16.6b	(+.f64 (+.f64 (*.f64 z (cos.f64 y)) y) x)
	46.8b	z
	44.5b	(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)) 3))
✓	0.6b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
✓	16.0b	(fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) (cos.f64 y)) (+.f64 x (sin.f64 y)))
	53.2b	(sin.f64 y)
	45.0b	(pow.f64 (sqrt.f64 (+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) 2)
✓	16.6b	(fma.f64 z (cos.f64 y) (+.f64 y x))
	25.7b	(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
	58.4b	y
	42.7b	(-.f64 (+.f64 1 (+.f64 (sin.f64 y) z)) 1)
	23.2b	(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (+.f64 y x))
	13.6b	(fma.f64 (*.f64 z (pow.f64 (cos.f64 y) 2/3)) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
✓	51.3b	(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
✓	37.4b	(+.f64 y x)
✓	43.9b	(+.f64 z y)
	37.1b	x
✓	25.6b	(fma.f64 (cos.f64 y) z (sin.f64 y))
✓	27.9b	(+.f64 (sin.f64 y) x)
✓	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓	43.2b	(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (sin.f64 y))
	34.6b	(fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (sin.f64 y))
	27.9b	(/.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))))
✓	0.2b	(fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (+.f64 x (sin.f64 y)))
✓	37.8b	(+.f64 (sin.f64 y) z)

Compiler

Compiled 293 to 196 computations (33.1% saved)

regimes277.0ms (2.6%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

4 calls:

104.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
69.0ms	x
55.0ms	y
38.0ms	z

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 380 to 112 computations (70.5% saved)

regimes99.0ms (0.9%)

Counts

28 → 1

Calls

Call 1

Inputs
z
y
z
x
z
x
x
(+.f64 y x)
(+.f64 z y)
(+.f64 z x)
(+.f64 (+.f64 y x) z)
(+.f64 y (+.f64 z x))
(sin.f64 y)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) z)
(*.f64 (cos.f64 y) z)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (sin.f64 y)) z)
(-.f64 (+.f64 1 (+.f64 (sin.f64 y) z)) 1)
(+.f64 (+.f64 (*.f64 z (cos.f64 y)) y) x)
(+.f64 (+.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(fma.f64 z (cos.f64 y) (+.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 y) x)))
(fma.f64 (cos.f64 y) z (sin.f64 y))
(+.f64 (log1p.f64 (expm1.f64 (+.f64 x (sin.f64 y)))) z)

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

Calls

4 calls:

47.0ms	y
16.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms	z
15.0ms	x

Results

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

Compiler

Compiled 151 to 49 computations (67.5% saved)

regimes317.0ms (2.9%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

127.0ms	y
94.0ms	x
91.0ms	z

Results

Error	Segments	Branch
5.9b	5	`x`
5.6b	8	`y`
4.9b	3	`z`

Compiler

Compiled 110 to 34 computations (69.1% saved)

bsearch94.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	0.022348561497808516	901.4964957225062
50.0ms	-7.242755417033766e+78	-1.6082455111062106e+77

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes180.0ms (1.7%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

84.0ms	x
52.0ms	y
39.0ms	z

Results

Error	Segments	Branch
8.9b	7	`x`
9.2b	4	`y`
5.1b	3	`z`

Compiler

Compiled 89 to 32 computations (64% saved)

bsearch94.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	0.022348561497808516	901.4964957225062
49.0ms	-7.242755417033766e+78	-1.6082455111062106e+77

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes104.0ms (1%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	z
29.0ms	y
29.0ms	x

Results

Error	Segments	Branch
11.4b	3	`x`
10.8b	3	`y`
5.6b	3	`z`

Compiler

Compiled 73 to 28 computations (61.6% saved)

bsearch95.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	0.022348561497808516	901.4964957225062
51.0ms	-3.561976126371877e+175	-1.7882597674183293e+170

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes180.0ms (1.7%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	x
54.0ms	z
42.0ms	y

Results

Error	Segments	Branch
13.7b	4	`x`
11.9b	5	`y`
6.4b	5	`z`

Compiler

Compiled 59 to 22 computations (62.7% saved)

bsearch317.0ms (2.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
69.0ms	0.022348561497808516	901.4964957225062
44.0ms	-171242.39464640015	-1.1514728422659725e-7
47.0ms	-1.5955346731555302e+121	-3.8136242248445835e+111
157.0ms	-3.561976126371877e+175	-1.7882597674183293e+170

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes289.0ms (2.7%)

Counts

16 → 4

Calls

Call 1

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

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

Calls

3 calls:

158.0ms	x
86.0ms	y
41.0ms	z

Results

Error	Segments	Branch
13.7b	4	`x`
14.1b	6	`y`
13.7b	4	`z`

Compiler

Compiled 55 to 21 computations (61.8% saved)

bsearch217.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
58.0ms	1.4109044396418216e-38	8.397780260101193e-36
71.0ms	1.5491214806175476e-140	4.0626365231060186e-134
88.0ms	-2.1313940557463502e-66	-3.032017750921104e-70

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes213.0ms (2%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

3 calls:

86.0ms	y
73.0ms	x
51.0ms	z

Results

Error	Segments	Branch
15.2b	5	`x`
14.1b	6	`y`
13.7b	4	`z`

Compiler

Compiled 47 to 20 computations (57.4% saved)

bsearch315.0ms (2.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
153.0ms	0.022348561497808516	901.4964957225062
105.0ms	-4.325800161513698e-148	-4.3067751468584874e-161
58.0ms	-3.561976126371877e+175	-1.7882597674183293e+170

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes70.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	z
22.0ms	x
22.0ms	y

Results

Error	Segments	Branch
18.5b	3	`x`
18.0b	3	`y`
20.0b	3	`z`

Compiler

Compiled 43 to 18 computations (58.1% saved)

bsearch104.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	1.1148360912509461e+21	2.732380832552907e+29
61.0ms	-2.5689418592315446e+91	-5.288790038627914e+89

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes65.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	z
20.0ms	x
8.0ms	y

Results

Error	Segments	Branch
18.9b	3	`x`
21.6b	1	`y`
20.3b	3	`z`

Compiler

Compiled 31 to 15 computations (51.6% saved)

bsearch154.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
94.0ms	1.7076220005650084e-147	1.5491214806175476e-140
60.0ms	-8.698480835359714e-212	-4.043433950653809e-225

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes77.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

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

Outputs
x
(+.f64 z y)
x

Calls

3 calls:

32.0ms	z
25.0ms	x
18.0ms	y

Results

Error	Segments	Branch
25.6b	3	`x`
33.4b	3	`y`
26.9b	5	`z`

Compiler

Compiled 28 to 14 computations (50% saved)

bsearch235.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
148.0ms	1.032843798311854e-16	6.373286120265694e-11
87.0ms	-1.4982982968575364e+20	-111637110831511920.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes56.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

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

Outputs
z
(+.f64 y x)
z

Calls

3 calls:

23.0ms	x
16.0ms	z
15.0ms	y

Results

Error	Segments	Branch
28.4b	3	`x`
33.6b	3	`y`
27.9b	3	`z`

Compiler

Compiled 25 to 13 computations (48% saved)

bsearch157.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
77.0ms	0.022348561497808516	901.4964957225062
79.0ms	-1.1514728422659725e-7	-7.789947473576971e-11

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes100.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

Inputs
z
y
z
x
z
x
x

Outputs
z
x
z

Calls

3 calls:

49.0ms	x
35.0ms	y
14.0ms	z

Results

Error	Segments	Branch
28.4b	3	`x`
34.5b	5	`y`
28.3b	3	`z`

Compiler

Compiled 22 to 12 computations (45.5% saved)

bsearch88.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	0.022348561497808516	901.4964957225062
44.0ms	-1.1514728422659725e-7	-7.789947473576971e-11

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Accuracy

Total -18.8b remaining (-43.2%)

Threshold costs -18.8b (-43.2%)

Counts

3 → 3

Calls

Call 1

Inputs
z
y
z

Outputs
z
y
z

Calls

3 calls:

10.0ms	z
5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
46.8b	1	`x`
46.8b	1	`y`
43.6b	3	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch160.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	1.1046098938209496e-115	8.822601706807371e-98
116.0ms	-4.3067751468584874e-161	-2.590276924504644e-163

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	391
1	98	391

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -7242755417033766223831274867599068118272835604564222464887336329100580303667200) (+.f64 (+.f64 (.f64 z (cos.f64 y)) y) x) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))))
(if (<=.f64 z -7242755417033766223831274867599068118272835604564222464887336329100580303667200) (+.f64 (+.f64 (.f64 z (cos.f64 y)) y) x) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (+.f64 x (sin.f64 y)) z) (.f64 (cos.f64 y) z)))
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (.f64 (cos.f64 y) z) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (+.f64 x (sin.f64 y)) z) (.f64 (cos.f64 y) z)))
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (.f64 (cos.f64 y) z) (if (<=.f64 z -15955346731555301761805320764911926610926423267995187589630784258315433108288407310545558362274650064314307415236688216064) (+.f64 z x) (if (<=.f64 z -5883843877560113/34359738368) (.f64 (cos.f64 y) z) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 x -8087095564791535/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (+.f64 z x) (if (<=.f64 x 6646503447125879/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (sin.f64 y) z) (if (<=.f64 x 5405511905847443/383123885216472214589586756787577295904684780545900544) (*.f64 (cos.f64 y) z) (+.f64 z x))))
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (.f64 (cos.f64 y) z) (if (<=.f64 z -24910594584411088/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 z x) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (+.f64 y x) z) (.f64 (cos.f64 y) z))))
(if (<=.f64 y -25689418592315446358799742655038447386956576108065566565160052009680396938462180999012810752) (+.f64 z x) (if (<=.f64 y 1114836091250946080768) (+.f64 (+.f64 y x) z) (+.f64 z x)))
(if (<=.f64 x -2060630626285849/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (+.f64 z x) (if (<=.f64 x 98335285429854288/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 z y) (+.f64 z x)))
(if (<=.f64 x -19638495436571101496344576/131072) x (if (<=.f64 x 8379424389580967/81129638414606681695789005144064) (+.f64 z y) x))
(if (<=.f64 z -8700282810002359/75557863725914323419136) z (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 y x) z))
(if (<=.f64 z -8700282810002359/75557863725914323419136) z (if (<=.f64 z 412258194365632704/18446744073709551616) x z))
(if (<=.f64 z -681725712721215/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) z (if (<=.f64 z 4900349402277373/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) y z))
z

Outputs
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -7242755417033766223831274867599068118272835604564222464887336329100580303667200) (+.f64 (+.f64 (.f64 z (cos.f64 y)) y) x) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 (.f64 (cos.f64 y) z) (sin.f64 y))))
(if (<=.f64 z -7242755417033766223831274867599068118272835604564222464887336329100580303667200) (+.f64 x (+.f64 y (.f64 z (cos.f64 y)))) (if (<=.f64 z 6441534286963011/288230376151711744) (+.f64 z (+.f64 x (sin.f64 y))) (+.f64 (sin.f64 y) (.f64 z (cos.f64 y)))))
(if (<=.f64 z -7242755417033766223831274867599068118272835604564222464887336329100580303667200) (+.f64 (+.f64 (.f64 z (cos.f64 y)) y) x) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (+.f64 x (sin.f64 y)) z) (.f64 (cos.f64 y) z)))
(if (<=.f64 z -7242755417033766223831274867599068118272835604564222464887336329100580303667200) (+.f64 x (+.f64 y (.f64 z (cos.f64 y)))) (if (<=.f64 z 6441534286963011/288230376151711744) (+.f64 z (+.f64 x (sin.f64 y))) (.f64 z (cos.f64 y))))
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (.f64 (cos.f64 y) z) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (+.f64 x (sin.f64 y)) z) (.f64 (cos.f64 y) z)))
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (.f64 z (cos.f64 y)) (if (<=.f64 z 6441534286963011/288230376151711744) (+.f64 z (+.f64 x (sin.f64 y))) (.f64 z (cos.f64 y))))
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (.f64 (cos.f64 y) z) (if (<=.f64 z -15955346731555301761805320764911926610926423267995187589630784258315433108288407310545558362274650064314307415236688216064) (+.f64 z x) (if (<=.f64 z -5883843877560113/34359738368) (.f64 (cos.f64 y) z) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (.f64 z (cos.f64 y)) (if (<=.f64 z -15955346731555301761805320764911926610926423267995187589630784258315433108288407310545558362274650064314307415236688216064) (+.f64 z x) (if (<=.f64 z -5883843877560113/34359738368) (.f64 z (cos.f64 y)) (if (<=.f64 z 6441534286963011/288230376151711744) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(if (<=.f64 x -8087095564791535/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (+.f64 z x) (if (<=.f64 x 6646503447125879/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (sin.f64 y) z) (if (<=.f64 x 5405511905847443/383123885216472214589586756787577295904684780545900544) (*.f64 (cos.f64 y) z) (+.f64 z x))))
(if (<=.f64 x -8087095564791535/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (+.f64 z x) (if (<=.f64 x 6646503447125879/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 z (sin.f64 y)) (if (<=.f64 x 5405511905847443/383123885216472214589586756787577295904684780545900544) (*.f64 z (cos.f64 y)) (+.f64 z x))))
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (.f64 (cos.f64 y) z) (if (<=.f64 z -24910594584411088/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 z x) (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 (+.f64 y x) z) (.f64 (cos.f64 y) z))))
(if (<=.f64 z -35619761263718767661620417645368222586316535060715050101043212951779148310253473353805502994517051424487252125978481359202772520390865236638788991634612266963543852771318956032) (.f64 z (cos.f64 y)) (if (<=.f64 z -1556912161525693/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (+.f64 z x) (if (<=.f64 z 6441534286963011/288230376151711744) (+.f64 z (+.f64 y x)) (.f64 z (cos.f64 y)))))
(if (<=.f64 y -25689418592315446358799742655038447386956576108065566565160052009680396938462180999012810752) (+.f64 z x) (if (<=.f64 y 1114836091250946080768) (+.f64 (+.f64 y x) z) (+.f64 z x)))
(if (<=.f64 y -25689418592315446358799742655038447386956576108065566565160052009680396938462180999012810752) (+.f64 z x) (if (<=.f64 y 1114836091250946080768) (+.f64 z (+.f64 y x)) (+.f64 z x)))
(if (<=.f64 x -2060630626285849/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (+.f64 z x) (if (<=.f64 x 98335285429854288/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (+.f64 z y) (+.f64 z x)))
(if (<=.f64 x -2060630626285849/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (+.f64 z x) (if (<=.f64 x 6145955339365893/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776) (+.f64 z y) (+.f64 z x)))
(if (<=.f64 x -19638495436571101496344576/131072) x (if (<=.f64 x 8379424389580967/81129638414606681695789005144064) (+.f64 z y) x))
(if (<=.f64 x -149829829685753643008) x (if (<=.f64 x 8379424389580967/81129638414606681695789005144064) (+.f64 z y) x))
(if (<=.f64 z -8700282810002359/75557863725914323419136) z (if (<=.f64 z 412258194365632704/18446744073709551616) (+.f64 y x) z))
(if (<=.f64 z -8700282810002359/75557863725914323419136) z (if (<=.f64 z 6441534286963011/288230376151711744) (+.f64 y x) z))
(if (<=.f64 z -8700282810002359/75557863725914323419136) z (if (<=.f64 z 412258194365632704/18446744073709551616) x z))
(if (<=.f64 z -8700282810002359/75557863725914323419136) z (if (<=.f64 z 6441534286963011/288230376151711744) x z))
(if (<=.f64 z -681725712721215/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) z (if (<=.f64 z 4900349402277373/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) y z))
z

Compiler

Compiled 313 to 180 computations (42.5% saved)

soundness9.0ms (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

Compiler

Compiled 35 to 23 computations (34.3% saved)

end115.0ms (1.1%)

Compiler: Compiled 271 to 102 computations (62.4% saved)