Details

analyze629.0ms (12.9%)

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
76.5%	23.4%	0.1%	13
81.9%	17.9%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.0s (61.9%)

Results

1.6s	2083×	body	1024	valid
741.0ms	4598×	body	128	valid
464.0ms	1043×	body	512	valid
153.0ms	522×	body	256	valid
17.0ms	10×	body	2048	valid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess19.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

16×	`fma-def_binary64`
8×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	38	48
2	50	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)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 y (sin.f64 x)) (.f64 z (cos.f64 x)))
(fma.f64 y (sin.f64 x) (*.f64 z (cos.f64 x)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 x (sin.f64 z)) (.f64 y (cos.f64 z)))
(fma.f64 x (sin.f64 z) (*.f64 y (cos.f64 z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	16	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 x (sin.f64 y) (*.f64 z (cos.f64 y)))

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series11.0ms (0.2%)

Counts

3 → 64

Calls

18 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
81×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	156	21
2	1853	21

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

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

Outputs

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

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

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

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-neg_binary64`
354×	`sub-neg_binary64`
257×	`*-commutative_binary64`
244×	`distribute-rgt-neg-in_binary64`
241×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	644
1	133	637
2	397	620
3	1542	619
4	4110	619

Stop Event

1×	node limit

Counts

117 → 77

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

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

prune66.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	8	78

Error

0.1b

Counts

78 → 8

Alt Table

Status	Error	Program
	0.2b	(fma.f64 x (sin.f64 y) (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	1.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
	0.4b	(fma.f64 x (sin.f64 y) (.f64 z (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
	0.3b	(fma.f64 x (sin.f64 y) (*.f64 z (-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)))
	45.6b	(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
	30.8b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
	0.2b	(fma.f64 x (sin.f64 y) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
▶	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (log1p.f64 (expm1.f64 (cos.f64 y)))))

Compiler

Compiled 1245 to 549 computations (55.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`pow1_binary64`
765×	`expm1-log1p-u_binary64`
764×	`log1p-expm1-u_binary64`
89×	`*-un-lft-identity_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	178	26
2	2063	26

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

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

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-neg_binary64`
340×	`distribute-rgt-neg-in_binary64`
333×	`distribute-lft-neg-in_binary64`
226×	`cancel-sign-sub-inv_binary64`
213×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	796
1	189	785
2	565	761
3	2321	754

Stop Event

1×	node limit

Counts

159 → 108

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (E.f64) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (E.f64))) 1))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (E.f64))) (E.f64)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (E.f64))) 1))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (E.f64))) (E.f64)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (E.f64))) (+.f64 1 (.f64 31/720 (.f64 (pow.f64 y 6) (E.f64))))))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
1
(-.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 1/720 (pow.f64 y 6))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) 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 z (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 1/720 (.f64 (pow.f64 y 6) 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 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 (.f64 y x) z) (.f64 1/2 (*.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 y x) z) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/2 (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))

Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (E.f64) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (E.f64))) 1))
(-.f64 (E.f64) (fma.f64 1/2 (.f64 (E.f64) (.f64 y y)) 1))
(-.f64 (expm1.f64 1) (.f64 (.f64 y y) (*.f64 (E.f64) 1/2)))
(+.f64 -1 (.f64 (fma.f64 (.f64 y y) -1/2 1) (E.f64)))
(fma.f64 (fma.f64 (*.f64 y y) -1/2 1) (E.f64) -1)
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (E.f64))) (E.f64)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (E.f64))) 1))
(-.f64 (fma.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)) (E.f64)) (fma.f64 1/2 (.f64 (E.f64) (*.f64 y y)) 1))
(+.f64 -1 (.f64 (E.f64) (-.f64 (fma.f64 1/6 (pow.f64 y 4) 1) (.f64 1/2 (*.f64 y y)))))
(fma.f64 (E.f64) (+.f64 1 (fma.f64 1/6 (pow.f64 y 4) (.f64 y (.f64 y -1/2)))) -1)
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 4) (E.f64))) (E.f64)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (E.f64))) (+.f64 1 (.f64 31/720 (.f64 (pow.f64 y 6) (E.f64))))))
(-.f64 (fma.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)) (E.f64)) (+.f64 (fma.f64 1/2 (.f64 (E.f64) (.f64 y y)) 1) (.f64 31/720 (*.f64 (E.f64) (pow.f64 y 6)))))
(-.f64 (fma.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)) (E.f64)) (fma.f64 1/2 (.f64 (E.f64) (.f64 y y)) (fma.f64 31/720 (.f64 (E.f64) (pow.f64 y 6)) 1)))
(-.f64 (.f64 (E.f64) (-.f64 (fma.f64 1/6 (pow.f64 y 4) 1) (.f64 1/2 (.f64 y y)))) (fma.f64 (E.f64) (.f64 31/720 (pow.f64 y 6)) 1))
(+.f64 -1 (.f64 (E.f64) (-.f64 (fma.f64 1/6 (pow.f64 y 4) 1) (+.f64 (.f64 31/720 (pow.f64 y 6)) (.f64 1/2 (.f64 y y))))))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
1
(-.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(-.f64 1 (.f64 1/2 (.f64 y y)))
(fma.f64 (*.f64 y y) -1/2 1)
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (-.f64 (.f64 (pow.f64 y 4) 1/24) (.f64 1/2 (*.f64 y y))))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/24 (.f64 (.f64 y y) -1/2)))
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (*.f64 y y) -1/2 1))
(fma.f64 (*.f64 y y) -1/2 (fma.f64 (pow.f64 y 4) 1/24 1))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 1/720 (pow.f64 y 6))))
(-.f64 (+.f64 1 (.f64 (pow.f64 y 4) 1/24)) (fma.f64 1/2 (.f64 y y) (*.f64 (pow.f64 y 6) 1/720)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 6) 1/720)))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)))
(+.f64 1 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/24) -1/2) (*.f64 (pow.f64 y 6) -1/720)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) 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 z (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 z (.f64 1/2 (.f64 (*.f64 y y) z)))
(+.f64 z (.f64 (.f64 y (*.f64 y z)) -1/2))
(.f64 (fma.f64 (.f64 y y) -1/2 1) z)
(fma.f64 (.f64 (.f64 y y) z) -1/2 z)
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z) (.f64 -1/2 (.f64 (.f64 y y) z)))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z) (.f64 (.f64 y (.f64 y z)) -1/2))
(.f64 z (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 1)))
(.f64 z (fma.f64 (.f64 y y) -1/2 (fma.f64 (pow.f64 y 4) 1/24 1)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 1/720 (.f64 (pow.f64 y 6) z))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z) (fma.f64 1/2 (.f64 (.f64 y y) z) (.f64 1/720 (*.f64 (pow.f64 y 6) z))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z) (.f64 z (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 6) 1/720))))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720)))))
(.f64 z (+.f64 1 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/24) -1/2) (.f64 (pow.f64 y 6) -1/720))))
(*.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 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(-.f64 (+.f64 (.f64 y x) z) (.f64 1/2 (*.f64 (pow.f64 y 2) z)))
(+.f64 (fma.f64 y x z) (.f64 -1/2 (.f64 (*.f64 y y) z)))
(+.f64 (fma.f64 y x z) (.f64 (.f64 y (*.f64 y z)) -1/2))
(fma.f64 y x (.f64 (fma.f64 (.f64 y y) -1/2 1) z))
(fma.f64 y x (fma.f64 (.f64 (.f64 y y) z) -1/2 z))
(-.f64 (+.f64 (.f64 y x) z) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/2 (*.f64 (pow.f64 y 2) z))))
(-.f64 (fma.f64 y x z) (fma.f64 1/6 (.f64 x (pow.f64 y 3)) (.f64 1/2 (.f64 (.f64 y y) z))))
(-.f64 (fma.f64 y x z) (fma.f64 1/2 (.f64 y (.f64 y z)) (.f64 (pow.f64 y 3) (.f64 x 1/6))))
(+.f64 (.f64 (fma.f64 (.f64 y y) -1/2 1) z) (.f64 x (-.f64 y (.f64 1/6 (pow.f64 y 3)))))
(fma.f64 y x (fma.f64 (fma.f64 (.f64 y y) -1/2 1) z (.f64 x (*.f64 (pow.f64 y 3) -1/6))))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

prune101.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	108	8	116

Error

0.0b

Counts

116 → 8

Alt Table

Status	Error	Program
	31.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2)))
	30.8b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
	0.2b	(fma.f64 x (sin.f64 y) (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	1.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
	0.3b	(fma.f64 x (sin.f64 y) (*.f64 z (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3)))))
	0.3b	(fma.f64 x (sin.f64 y) (.f64 z (log1p.f64 (.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))))))
	45.6b	(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
▶	0.2b	(fma.f64 x (sin.f64 y) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))

Compiler

Compiled 1765 to 794 computations (55% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series65.0ms (1.3%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
31.0ms	y	@	inf	(log1p.f64 (cos.f64 y))
25.0ms	y	@	-inf	(log1p.f64 (cos.f64 y))
3.0ms	z	@	inf	(fma.f64 x (sin.f64 y) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))
1.0ms	y	@	0	(log1p.f64 (cos.f64 y))
0.0ms	y	@	0	(expm1.f64 (log1p.f64 (cos.f64 y)))

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`pow1_binary64`
765×	`expm1-log1p-u_binary64`
764×	`log1p-expm1-u_binary64`
89×	`*-un-lft-identity_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	177	26
2	2062	26

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

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

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

589×	`fma-neg_binary64`
330×	`*-commutative_binary64`
300×	`distribute-rgt-neg-in_binary64`
295×	`distribute-lft-neg-in_binary64`
193×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	768
1	172	761
2	504	742
3	1985	741

Stop Event

1×	node limit

Counts

159 → 108

Calls

Call 1

Inputs
(log.f64 2)
(-.f64 (log.f64 2) (*.f64 1/4 (pow.f64 y 2)))
(-.f64 (log.f64 2) (+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/96 (pow.f64 y 4))))
(-.f64 (log.f64 2) (+.f64 (.f64 1/4 (pow.f64 y 2)) (+.f64 (.f64 1/96 (pow.f64 y 4)) (*.f64 1/1440 (pow.f64 y 6)))))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
(log.f64 (+.f64 1 (cos.f64 y)))
1
(-.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 1/720 (pow.f64 y 6))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) 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 z (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 1/720 (.f64 (pow.f64 y 6) 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 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 (.f64 y x) z) (.f64 1/2 (*.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 y x) z) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/2 (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))

Outputs
(log.f64 2)
(-.f64 (log.f64 2) (*.f64 1/4 (pow.f64 y 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 y y)))
(+.f64 (log.f64 2) (.f64 (.f64 y y) -1/4))
(fma.f64 (*.f64 y y) -1/4 (log.f64 2))
(-.f64 (log.f64 2) (+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 1/96 (pow.f64 y 4))))
(-.f64 (log.f64 2) (fma.f64 1/4 (.f64 y y) (.f64 1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 (.f64 y y) -1/4 (log.f64 2)) (.f64 (pow.f64 y 4) -1/96))
(+.f64 (log.f64 2) (fma.f64 (pow.f64 y 4) -1/96 (.f64 y (.f64 y -1/4))))
(-.f64 (log.f64 2) (+.f64 (.f64 1/4 (pow.f64 y 2)) (+.f64 (.f64 1/96 (pow.f64 y 4)) (*.f64 1/1440 (pow.f64 y 6)))))
(-.f64 (log.f64 2) (fma.f64 1/4 (.f64 y y) (fma.f64 1/96 (pow.f64 y 4) (.f64 1/1440 (pow.f64 y 6)))))
(-.f64 (log.f64 2) (fma.f64 1/4 (.f64 y y) (fma.f64 1/1440 (pow.f64 y 6) (.f64 1/96 (pow.f64 y 4)))))
(-.f64 (fma.f64 (.f64 y y) -1/4 (log.f64 2)) (fma.f64 1/96 (pow.f64 y 4) (.f64 1/1440 (pow.f64 y 6))))
(+.f64 (log.f64 2) (fma.f64 (pow.f64 y 6) -1/1440 (fma.f64 (pow.f64 y 4) -1/96 (.f64 y (.f64 y -1/4)))))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(log.f64 (+.f64 1 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
1
(-.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(+.f64 1 (.f64 (.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (-.f64 (.f64 (pow.f64 y 4) 1/24) (.f64 (*.f64 y y) 1/2)))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (.f64 (.f64 y y) -1/2))
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (*.f64 y y) -1/2 1))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 1/720 (pow.f64 y 6))))
(+.f64 1 (-.f64 (.f64 (pow.f64 y 4) 1/24) (fma.f64 1/2 (.f64 y y) (*.f64 (pow.f64 y 6) 1/720))))
(-.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (pow.f64 y 6) 1/720 (.f64 (.f64 y y) 1/2)))
(fma.f64 (pow.f64 y 4) 1/24 (+.f64 (fma.f64 (.f64 y y) -1/2 1) (.f64 (pow.f64 y 6) -1/720)))
(+.f64 1 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/24) -1/2) (*.f64 (pow.f64 y 6) -1/720)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) 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 z (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 z (.f64 -1/2 (.f64 (*.f64 y y) z)))
(+.f64 z (.f64 (.f64 (*.f64 y y) z) -1/2))
(.f64 (fma.f64 (.f64 y y) -1/2 1) z)
(fma.f64 (.f64 (.f64 y y) -1/2) z z)
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z) (.f64 -1/2 (.f64 (.f64 y y) z)))
(+.f64 (fma.f64 (.f64 (pow.f64 y 4) 1/24) z z) (.f64 (.f64 (.f64 y y) z) -1/2))
(.f64 z (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 1)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 1/720 (.f64 (pow.f64 y 6) z))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z) (fma.f64 1/2 (.f64 (.f64 y y) z) (.f64 1/720 (*.f64 (pow.f64 y 6) z))))
(-.f64 (fma.f64 (.f64 (pow.f64 y 4) 1/24) z z) (.f64 z (fma.f64 (pow.f64 y 6) 1/720 (.f64 (.f64 y y) 1/2))))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720)))))
(.f64 z (+.f64 1 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/24) -1/2) (.f64 (pow.f64 y 6) -1/720))))
(*.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 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(-.f64 (+.f64 (.f64 y x) z) (.f64 1/2 (*.f64 (pow.f64 y 2) z)))
(-.f64 (fma.f64 y x z) (.f64 1/2 (.f64 (*.f64 y y) z)))
(+.f64 (fma.f64 y x z) (.f64 (.f64 (*.f64 y y) z) -1/2))
(fma.f64 y x (.f64 (fma.f64 (.f64 y y) -1/2 1) z))
(fma.f64 y x (fma.f64 (.f64 (.f64 y y) -1/2) z z))
(-.f64 (+.f64 (.f64 y x) z) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/2 (*.f64 (pow.f64 y 2) z))))
(-.f64 (fma.f64 y x z) (fma.f64 1/6 (.f64 x (pow.f64 y 3)) (.f64 1/2 (.f64 (.f64 y y) z))))
(-.f64 (fma.f64 y x z) (fma.f64 1/2 (.f64 (.f64 y y) z) (.f64 (.f64 1/6 x) (pow.f64 y 3))))
(+.f64 (.f64 (fma.f64 (.f64 y y) -1/2 1) z) (.f64 x (-.f64 y (.f64 1/6 (pow.f64 y 3)))))
(fma.f64 y x (fma.f64 (fma.f64 (.f64 y y) -1/2 1) z (.f64 x (*.f64 (pow.f64 y 3) -1/6))))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

prune81.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	107	9	116

Error

0.0b

Counts

116 → 9

Alt Table

Status	Error	Program
	31.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2)))
	30.8b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
▶	0.2b	(fma.f64 x (sin.f64 y) (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	1.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
	0.3b	(fma.f64 x (sin.f64 y) (*.f64 z (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3)))))
	0.3b	(fma.f64 x (sin.f64 y) (.f64 z (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) 1) 3) 1) (+.f64 (.f64 (+.f64 (cos.f64 y) 1) (+.f64 (cos.f64 y) 1)) (+.f64 1 (*.f64 (+.f64 (cos.f64 y) 1) 1))))))
	0.3b	(fma.f64 x (sin.f64 y) (.f64 z (log1p.f64 (.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))))))
	45.6b	(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
✓	0.2b	(fma.f64 x (sin.f64 y) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))

Compiler

Compiled 1808 to 841 computations (53.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
✓	0.1b	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
✓	0.4b	(pow.f64 (cos.f64 y) 3)

series7.0ms (0.1%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(pow.f64 (cos.f64 y) 3)
1.0ms	y	@	-inf	(pow.f64 (cos.f64 y) 3)
1.0ms	y	@	0	(pow.f64 (cos.f64 y) 3)
0.0ms	y	@	0	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log1p-expm1-u_binary64`
857×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`
98×	`pow1_binary64`
97×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	225	27
2	2360	27

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

603×	`fma-neg_binary64`
336×	`*-commutative_binary64`
285×	`distribute-rgt-neg-in_binary64`
279×	`distribute-lft-neg-in_binary64`
197×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	724
1	164	713
2	492	692
3	1901	691

Stop Event

1×	node limit

Counts

158 → 112

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 3/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 7/8 (pow.f64 y 4))) (.f64 3/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 7/8 (pow.f64 y 4))) (+.f64 (.f64 3/2 (pow.f64 y 2)) (*.f64 61/240 (pow.f64 y 6))))
1
(-.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (.f64 1/2 (pow.f64 y 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 1/720 (pow.f64 y 6))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) 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 z (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 1/720 (.f64 (pow.f64 y 6) 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 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(-.f64 (+.f64 (.f64 y x) z) (.f64 1/2 (*.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 y x) z) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/2 (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))

Outputs
1
(-.f64 1 (*.f64 3/2 (pow.f64 y 2)))
(-.f64 1 (.f64 3/2 (.f64 y y)))
(+.f64 1 (.f64 (.f64 y y) -3/2))
(fma.f64 (*.f64 y y) -3/2 1)
(-.f64 (+.f64 1 (.f64 7/8 (pow.f64 y 4))) (.f64 3/2 (pow.f64 y 2)))
(+.f64 1 (-.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 3/2 (*.f64 y y))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (.f64 (.f64 y y) -3/2)))
(fma.f64 (*.f64 y y) -3/2 (fma.f64 7/8 (pow.f64 y 4) 1))
(-.f64 (+.f64 1 (.f64 7/8 (pow.f64 y 4))) (+.f64 (.f64 3/2 (pow.f64 y 2)) (*.f64 61/240 (pow.f64 y 6))))
(+.f64 1 (-.f64 (.f64 7/8 (pow.f64 y 4)) (fma.f64 3/2 (.f64 y y) (*.f64 61/240 (pow.f64 y 6)))))
(-.f64 (fma.f64 7/8 (pow.f64 y 4) 1) (fma.f64 3/2 (.f64 y y) (.f64 61/240 (pow.f64 y 6))))
(+.f64 (fma.f64 7/8 (pow.f64 y 4) 1) (fma.f64 (.f64 y y) -3/2 (.f64 (pow.f64 y 6) -61/240)))
1
(-.f64 1 (*.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(-.f64 1 (.f64 (.f64 y y) 1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (.f64 1/2 (pow.f64 y 2)))
(+.f64 1 (-.f64 (.f64 (pow.f64 y 4) 1/24) (.f64 (*.f64 y y) 1/2)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (.f64 (.f64 y y) 1/2))
(fma.f64 (*.f64 y y) -1/2 (fma.f64 (pow.f64 y 4) 1/24 1))
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (*.f64 y y) -1/2 1))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 y 4))) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 1/720 (pow.f64 y 6))))
(-.f64 (+.f64 1 (.f64 (pow.f64 y 4) 1/24)) (fma.f64 1/2 (.f64 y y) (*.f64 (pow.f64 y 6) 1/720)))
(-.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (pow.f64 y 6) 1/720 (.f64 (.f64 y y) 1/2)))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 1)) (.f64 (pow.f64 y 6) -1/720))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(*.f64 (cos.f64 y) 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 z (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 z (.f64 -1/2 (.f64 (*.f64 y y) z)))
(-.f64 z (.f64 (.f64 (*.f64 y y) 1/2) z))
(fma.f64 (.f64 z -1/2) (.f64 y y) z)
(.f64 z (fma.f64 (.f64 y y) -1/2 1))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z) (.f64 -1/2 (.f64 (.f64 y y) z)))
(fma.f64 (.f64 (pow.f64 y 4) 1/24) z (-.f64 z (.f64 (.f64 (.f64 y y) 1/2) z)))
(.f64 z (fma.f64 (.f64 y y) -1/2 (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 z (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 1)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) z) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 1/720 (.f64 (pow.f64 y 6) z))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z) (fma.f64 1/2 (.f64 (.f64 y y) z) (.f64 1/720 (*.f64 (pow.f64 y 6) z))))
(-.f64 (.f64 (fma.f64 (pow.f64 y 4) 1/24 1) z) (.f64 z (fma.f64 (pow.f64 y 6) 1/720 (.f64 (.f64 y y) 1/2))))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720)))))
(.f64 z (+.f64 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 (.f64 y y) -1/2 1)) (*.f64 (pow.f64 y 6) -1/720)))
(*.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 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(-.f64 (+.f64 (.f64 y x) z) (.f64 1/2 (*.f64 (pow.f64 y 2) z)))
(+.f64 (fma.f64 y x z) (.f64 -1/2 (.f64 (*.f64 y y) z)))
(-.f64 (fma.f64 y x z) (.f64 (.f64 (*.f64 y y) 1/2) z))
(fma.f64 y x (fma.f64 (.f64 z -1/2) (.f64 y y) z))
(fma.f64 (.f64 y (.f64 y z)) -1/2 (fma.f64 y x z))
(-.f64 (+.f64 (.f64 y x) z) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/2 (*.f64 (pow.f64 y 2) z))))
(-.f64 (fma.f64 y x z) (fma.f64 1/6 (.f64 x (pow.f64 y 3)) (.f64 1/2 (.f64 (.f64 y y) z))))
(-.f64 (fma.f64 y x z) (fma.f64 1/2 (.f64 y (.f64 y z)) (.f64 (pow.f64 y 3) (.f64 x 1/6))))
(+.f64 (fma.f64 (.f64 z -1/2) (.f64 y y) z) (.f64 x (-.f64 y (.f64 1/6 (pow.f64 y 3)))))
(fma.f64 y x (fma.f64 (fma.f64 (.f64 y y) -1/2 1) z (.f64 x (*.f64 (pow.f64 y 3) -1/6))))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

prune97.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Error

0.0b

Counts

121 → 9

Alt Table

Status	Error	Program
	31.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2)))
	30.8b	(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2)
✓	0.2b	(fma.f64 x (sin.f64 y) (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))))
	1.4b	(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) 2))
	0.3b	(fma.f64 x (sin.f64 y) (.f64 z (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))))
	0.3b	(fma.f64 x (sin.f64 y) (*.f64 z (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3)))))
	0.3b	(fma.f64 x (sin.f64 y) (.f64 z (log1p.f64 (.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))))))
	45.6b	(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 3))
✓	0.2b	(fma.f64 x (sin.f64 y) (*.f64 z (expm1.f64 (log1p.f64 (cos.f64 y)))))

Compiler

Compiled 1704 to 767 computations (55% saved)

regimes171.0ms (3.5%)

Accuracy

Total 0.1b remaining (51.8%)

Threshold costs 0.1b (51.8%)

Counts

70 → 1

Compiler

Compiled 860 to 332 computations (61.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4294967295
1	16	4294967295

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (.f64 z (.f64 (pow.f64 1 1/3) (cos.f64 y))))

Outputs
(fma.f64 x (sin.f64 y) (.f64 z (.f64 (pow.f64 1 1/3) (cos.f64 y))))

end183.0ms (3.8%)

Stop Event

1×

fuel

Compiler

Compiled 189 to 123 computations (34.9% saved)

Details

analyze629.0ms (12.9%)

sample3.0s (61.9%)

preprocess19.0ms (0.4%)

simplify7.0ms (0.1%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

series11.0ms (0.2%)

rewrite50.0ms (1%)

simplify46.0ms (0.9%)

prune66.0ms (1.4%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite50.0ms (1%)

simplify41.0ms (0.9%)

prune101.0ms (2.1%)

localize14.0ms (0.3%)

series65.0ms (1.3%)

rewrite50.0ms (1%)

simplify34.0ms (0.7%)

prune81.0ms (1.7%)

localize9.0ms (0.2%)

series7.0ms (0.1%)

rewrite54.0ms (1.1%)

simplify39.0ms (0.8%)

prune97.0ms (2%)

regimes171.0ms (3.5%)

simplify2.0ms (0%)

end183.0ms (3.8%)

Profiling