Details

analyze483.0ms (5.1%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.6s (27.1%)

Results

1.1s	2081×	body	1024	valid
1.0s	5131×	body	256	valid
367.0ms	1039×	body	512	valid
6.0ms	5×	body	2048	valid

Bogosity

preprocess21.0ms (0.2%)

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

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

Compiler

Compiled 15 to 11 computations (26.7% 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 (cos.f64 y)) (.f64 z (sin.f64 y)))

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series9.0ms (0.1%)

Counts

3 → 32

Calls

15 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	155	15
2	1836	15

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

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

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

Outputs

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

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

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

simplify189.0ms (2%)

Algorithm

1×	egg-herbie

Rules

722×	`cube-prod_binary64`
682×	`sqr-pow_binary64`
443×	`pow-sqr_binary64`
427×	`unpow3_binary64`
417×	`cube-mult_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	308
1	146	298
2	397	282
3	1311	281
4	1927	281
5	2786	281
6	2972	281
7	3206	281
8	3473	281
9	3832	281
10	4249	281
11	4737	281
12	5311	281
13	5999	281
14	6505	281
15	6901	281
16	7287	281
17	7737	281

Stop Event

1×	node limit

Counts

74 → 64

Calls

Call 1

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

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

eval16.0ms (0.2%)

Compiler: Compiled 906 to 403 computations (55.5% saved)

prune22.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	55	9	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	10	65

Error

0.1b

Counts

65 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	23.1b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
	23.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z y))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
▶	4.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
▶	28.2b	(+.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (.f64 z (sin.f64 y)))
	17.9b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (sin.f64 y)) 3)))
▶	7.9b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
	30.9b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
▶	14.4b	(+.f64 x (*.f64 z (sin.f64 y)))

Compiler

Compiled 266 to 192 computations (27.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 10 computations (73.7% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1356	14

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (sin.f64 y)))
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
(expm1.f64 (sin.f64 y))

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

Outputs

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

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

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

simplify180.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

861×	`fma-def_binary64`
730×	`sqr-pow_binary64`
529×	`*-commutative_binary64`
436×	`cube-prod_binary64`
414×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	360
1	143	348
2	345	336
3	1014	334
4	2846	334
5	3791	334
6	3988	334
7	4221	334
8	4495	334
9	4807	334
10	5231	334
11	5785	334
12	6362	334
13	7082	334
14	7410	334
15	7754	334

Stop Event

1×	node limit

Counts

93 → 68

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)
(-.f64 (exp.f64 (sin.f64 y)) 1)

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
y
(+.f64 y (*.f64 1/2 (pow.f64 y 2)))
(+.f64 y (.f64 1/2 (.f64 y y)))
(fma.f64 1/2 (*.f64 y y) y)
(fma.f64 y (*.f64 y 1/2) y)
(*.f64 y (fma.f64 y 1/2 1))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y))))
(+.f64 (fma.f64 1/2 (.f64 y y) y) (.f64 -1/8 (pow.f64 y 4)))
(fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y))
(+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (+.f64 (.f64 1/2 (pow.f64 y 2)) (*.f64 -1/15 (pow.f64 y 5)))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 1/2 (.f64 y y) (.f64 (pow.f64 y 5) -1/15))))
(+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (fma.f64 (pow.f64 y 5) -1/15 (.f64 y (.f64 y 1/2)))))
(+.f64 y (fma.f64 y (.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) (.f64 (pow.f64 y 5) -1/15))))
(fma.f64 y (*.f64 y 1/2) (fma.f64 (pow.f64 y 5) -1/15 (fma.f64 -1/8 (pow.f64 y 4) y)))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))
(-.f64 (exp.f64 (sin.f64 y)) 1)
(expm1.f64 (sin.f64 y))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	147	7
2	2003	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1295×	`fma-def_binary64`
788×	`sqr-pow_binary64`
544×	`associate-l_binary64`
487×	`*-commutative_binary64`
448×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	186
1	65	186
2	152	182
3	380	179
4	995	177
5	2360	177
6	2811	177
7	3453	177
8	3569	177
9	3741	177
10	3960	177
11	4946	177
12	5406	177
13	6006	177
14	6759	177
15	7693	177

Stop Event

1×	node limit

Counts

62 → 44

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (sin.f64 y))
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
✓	1.5b	(log.f64 (exp.f64 (sin.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
484×	`log1p-expm1-u_binary64`
484×	`expm1-log1p-u_binary64`
483×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1330	14

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(log.f64 (exp.f64 (sin.f64 y)))
(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
(exp.f64 (sin.f64 y))

Outputs

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

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

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

simplify183.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
730×	`sqr-pow_binary64`
497×	`*-commutative_binary64`
492×	`cube-prod_binary64`
403×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	306
1	132	294
2	326	282
3	952	278
4	2721	278
5	3638	278
6	3835	278
7	4069	278
8	4343	278
9	4655	278
10	5079	278
11	5631	278
12	6208	278
13	6928	278
14	7252	278
15	7592	278
16	7882	278

Stop Event

1×	node limit

Counts

89 → 72

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
1
(+.f64 1 y)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 1/120 (.f64 (pow.f64 y 5) z)))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 1 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 y (.f64 1/2 (.f64 y y))))
(+.f64 1 (fma.f64 1/2 (*.f64 y y) y))
(+.f64 y (fma.f64 1/2 (*.f64 y y) 1))
(fma.f64 (fma.f64 y 1/2 1) y 1)
(+.f64 1 (+.f64 y (+.f64 (.f64 -1/8 (pow.f64 y 4)) (.f64 1/2 (pow.f64 y 2)))))
(+.f64 1 (+.f64 y (fma.f64 -1/8 (pow.f64 y 4) (.f64 1/2 (.f64 y y)))))
(+.f64 1 (+.f64 (fma.f64 1/2 (.f64 y y) y) (.f64 -1/8 (pow.f64 y 4))))
(+.f64 1 (fma.f64 y (*.f64 y 1/2) (fma.f64 -1/8 (pow.f64 y 4) y)))
(fma.f64 -1/8 (pow.f64 y 4) (fma.f64 (fma.f64 y 1/2 1) y 1))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3)))
✓	0.4b	(pow.f64 (sin.f64 y) 3)
✓	21.4b	(cbrt.f64 (pow.f64 (sin.f64 y) 3))

Compiler

Compiled 43 to 21 computations (51.2% saved)

series6.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(pow.f64 (sin.f64 y) 3)
1.0ms	y	@	inf	(pow.f64 (sin.f64 y) 3)
1.0ms	y	@	0	(pow.f64 (sin.f64 y) 3)
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (sin.f64 y) 3))
0.0ms	z	@	inf	(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3)))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`pow1_binary64`
590×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	166	15
2	1653	15

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify137.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1482×	`fma-def_binary64`
748×	`sqr-pow_binary64`
514×	`cube-prod_binary64`
400×	`unswap-sqr_binary64`
380×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	332
1	131	320
2	341	308
3	947	306
4	2237	306
5	2478	306
6	2751	306
7	3344	306
8	3473	306
9	3656	306
10	4605	306
11	5002	306
12	5601	306
13	6414	306
14	7435	306

Stop Event

1×	node limit

Counts

90 → 73

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))
(fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (*.f64 (pow.f64 y 7) 13/120))
(fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3)))
(+.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (pow.f64 y 5)) (+.f64 (.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120))))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (*.f64 -41/3024 (pow.f64 y 9)))))
(fma.f64 -41/3024 (pow.f64 y 9) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (pow.f64 y 3))))
(fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (fma.f64 -41/3024 (pow.f64 y 9) (pow.f64 y 3))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 y z))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) y) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (.f64 (*.f64 1/120 (pow.f64 y 5)) z)))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (.f64 z (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 (pow.f64 y 3) z) (fma.f64 y z (fma.f64 -1/5040 (.f64 (pow.f64 y 7) z) (.f64 (.f64 1/120 (pow.f64 y 5)) z))))
(+.f64 (.f64 z (fma.f64 -1/6 (pow.f64 y 3) y)) (.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.3b	(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))
✓	0.3b	(pow.f64 (cos.f64 y) 3)
✓	42.5b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))

Compiler

Compiled 53 to 29 computations (45.3% saved)

series11.0ms (0.1%)

Counts

3 → 32

Calls

15 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`pow1_binary64`
722×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
700×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	194	21
2	2045	21

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

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

Outputs

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

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

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

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1334×	`unswap-sqr_binary64`
629×	`distribute-lft-out_binary64`
428×	`*-commutative_binary64`
348×	`fma-neg_binary64`
345×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	360
1	141	344
2	449	324
3	1773	318
4	3295	318
5	3904	318
6	4490	318
7	4748	318
8	5036	318
9	5944	318

Stop Event

1×	node limit

Counts

88 → 79

Calls

Call 1

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

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

eval252.0ms (2.7%)

Compiler: Compiled 6926 to 3043 computations (56.1% saved)

prune219.0ms (2.3%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	444	18	462
Fresh	4	0	4
Picked	1	0	1
Done	2	3	5
Total	451	21	472

Error

0.0b

Counts

472 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.4b	(+.f64 (.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
▶	32.0b	(+.f64 (*.f64 y z) x)
▶	0.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
▶	37.0b	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))
▶	22.2b	(+.f64 x (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
	18.6b	(+.f64 x (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	39.4b	x
	36.3b	(+.f64 x (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	14.4b	(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
	23.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z y))
	8.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (log.f64 (expm1.f64 (log1p.f64 (exp.f64 (sin.f64 y)))))))
✓	4.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	30.9b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
✓	14.4b	(+.f64 x (*.f64 z (sin.f64 y)))
	17.9b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) z) 3)))
	37.5b	(+.f64 x (*.f64 z (pow.f64 (sqrt.f64 (sin.f64 y)) 2)))
	14.4b	(fma.f64 (sin.f64 y) z x)
	46.3b	(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (sin.f64 y)) 3))))
	37.0b	(*.f64 z (sin.f64 y))
	8.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 y)))))))

Compiler

Compiled 530 to 354 computations (33.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 18 computations (67.3% saved)

series22.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(*.f64 (cbrt.f64 (cos.f64 y)) x)
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
2.0ms	x	@	0	(*.f64 (cbrt.f64 (cos.f64 y)) x)
2.0ms	y	@	inf	(*.f64 (cbrt.f64 (cos.f64 y)) x)
2.0ms	y	@	inf	(cbrt.f64 (cos.f64 y))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	181	27
2	2014	27

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify183.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1951×	`fma-def_binary64`
703×	`sqr-pow_binary64`
424×	`*-commutative_binary64`
417×	`cube-prod_binary64`
320×	`pow-sqr_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	61	616
1	160	608
2	429	592
3	1360	588
4	2045	588
5	2766	588
6	2950	588
7	3141	588
8	3356	586
9	5262	586
10	5659	586
11	6139	586
12	6712	586
13	7394	586
14	7727	586

Stop Event

1×	node limit

Counts

135 → 94

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(exp.f64 (sin.f64 y))
	0.1b	(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
	1.5b	(log.f64 (exp.f64 (sin.f64 y)))

Compiler

Compiled 29 to 8 computations (72.4% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))
✓	0.3b	(pow.f64 (*.f64 z (sin.f64 y)) 2)
✓	2.1b	(-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2))
✓	27.6b	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))

Compiler

Compiled 66 to 22 computations (66.7% saved)

series20.0ms (0.2%)

Counts

4 → 124

Calls

33 calls:

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

rewrite224.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`log-prod_binary64`
473×	`fma-def_binary64`
256×	`pow1/3_binary64`
253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	310	45
2	4237	43

Stop Event

1×	node limit

Counts

4 → 260

Calls

Call 1

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

Outputs
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simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

681×	`times-frac_binary64`
651×	`fma-def_binary64`
585×	`associate-r_binary64`
584×	`associate-l_binary64`
376×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	2344
1	375	2313
2	1352	2212
3	7933	2212

Stop Event

1×	node limit

Counts

384 → 313

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
(+.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 y 3) z)) x))
(+.f64 (.f64 y z) (+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 1/120 (*.f64 (pow.f64 y 5) z)) x)))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))
(pow.f64 x 2)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 x 2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6))) (+.f64 (.f64 1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2))) (pow.f64 x 2))))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (.f64 (pow.f64 y 2) (pow.f64 z 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 4) (pow.f64 z 2))) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (.f64 (pow.f64 y 8) (+.f64 (.f64 -1/360 (pow.f64 z 2)) (*.f64 -1/2520 (pow.f64 z 2)))))))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))) (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 1 x)
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 z (sin.f64 y)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 x 3)))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))) (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))) (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (.f64 1/6 (/.f64 z (pow.f64 x 2)))))) (/.f64 (.f64 y z) (pow.f64 x 2)))))

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 10 computations (77.8% saved)

series10.0ms (0.1%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x))
1.0ms	y	@	inf	(*.f64 (sqrt.f64 (cos.f64 y)) x)
1.0ms	x	@	0	(*.f64 (sqrt.f64 (cos.f64 y)) x)
1.0ms	y	@	-inf	(*.f64 (sqrt.f64 (cos.f64 y)) x)
1.0ms	y	@	0	(*.f64 (sqrt.f64 (cos.f64 y)) x)

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	138	19
2	1641	19

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

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

Outputs

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

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

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

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1000×	`fma-def_binary64`
958×	`distribute-rgt-out_binary64`
748×	`distribute-lft-out_binary64`
670×	`associate-l_binary64`
486×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	298
1	109	295
2	299	281
3	983	276
4	4077	276
5	7363	276
6	7754	276
7	7984	276

Stop Event

1×	node limit

Counts

74 → 64

Calls

Call 1

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

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

eval416.0ms (4.4%)

Compiler: Compiled 13845 to 5752 computations (58.5% saved)

prune155.0ms (1.6%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	628	13	641
Fresh	5	8	13
Picked	1	0	1
Done	1	6	7
Total	635	27	662

Error

0.0b

Counts

662 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.9b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) z) 3)))
	50.6b	(.f64 (.f64 z (.f64 z (neg.f64 (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))
	14.8b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)) x)
	48.5b	(.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (.f64 y y)))) (/.f64 1 (-.f64 x (.f64 z (sin.f64 y)))))
▶	14.4b	(fma.f64 (sin.f64 y) z x)
	28.1b	(+.f64 (.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x)) (*.f64 y z))
	41.1b	(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
✓	0.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
✓	22.2b	(+.f64 x (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
	18.6b	(+.f64 x (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	39.4b	x
	42.3b	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
	36.3b	(+.f64 x (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	23.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z y))
▶	48.6b	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 -1 (.f64 z (sin.f64 y))))
	22.2b	(+.f64 x (*.f64 z (log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 y)))))))
	14.9b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3))
	14.4b	(+.f64 x (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
	51.2b	(.f64 (.f64 x x) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
	30.9b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
▶	0.2b	(+.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
✓	14.4b	(+.f64 x (*.f64 z (sin.f64 y)))
✓	32.0b	(+.f64 (*.f64 y z) x)
▶	37.0b	(*.f64 z (sin.f64 y))
✓	4.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	0.3b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 680 to 457 computations (32.8% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) x)
✓	0.2b	(.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x))
✓	0.2b	(pow.f64 (cos.f64 y) 2)
	0.3b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 63 to 27 computations (57.1% saved)

series8.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x))
2.0ms	y	@	inf	(.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x))
1.0ms	x	@	-inf	(.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x))
1.0ms	y	@	0	(pow.f64 (cos.f64 y) 2)
1.0ms	y	@	inf	(pow.f64 (cos.f64 y) 2)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
845×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
823×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	230	12
2	2484	12

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

894×	`distribute-rgt-neg-in_binary64`
629×	`fma-def_binary64`
554×	`distribute-rgt-out_binary64`
494×	`associate-l_binary64`
442×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	234
1	89	229
2	231	221
3	752	218
4	3239	218
5	6909	218

Stop Event

1×	node limit

Counts

61 → 49

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

Outputs
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(fma.f64 -1 (.f64 y y) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) 1) (*.f64 y y))
(-.f64 (*.f64 1/3 (pow.f64 y 4)) (fma.f64 y y -1))
(-.f64 1 (fma.f64 y y (*.f64 (pow.f64 y 4) -1/3)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 1/3 (pow.f64 y 4))))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 1/3 (pow.f64 y 4) (.f64 -2/45 (pow.f64 y 6))))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) (fma.f64 -2/45 (pow.f64 y 6) 1)) (*.f64 y y))
(fma.f64 1/3 (pow.f64 y 4) (-.f64 (fma.f64 -2/45 (pow.f64 y 6) 1) (*.f64 y y)))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) (*.f64 -2/45 (pow.f64 y 6))) (fma.f64 y y -1))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) 1) (fma.f64 y y (*.f64 (pow.f64 y 6) 2/45)))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (.f64 (.f64 y y) x) x)
(fma.f64 -1/2 (.f64 y (.f64 y x)) x)
(.f64 x (fma.f64 (.f64 y y) -1/2 1))
(.f64 x (fma.f64 y (.f64 y -1/2) 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (*.f64 y y) x) x))
(fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 y (*.f64 y x)) x))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/24 (.f64 y (.f64 y -1/2))) x)
(fma.f64 x (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2)) x)
(fma.f64 x (.f64 y (.f64 y (fma.f64 (*.f64 y 1/24) y -1/2))) x)
(.f64 x (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 y (.f64 y -1/2) 1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 (.f64 y y) x) x)))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) x) (fma.f64 1/24 (.f64 (pow.f64 y 4) x) (fma.f64 -1/2 (.f64 y (.f64 y x)) x)))
(fma.f64 x (fma.f64 (pow.f64 y 6) -1/720 (.f64 (pow.f64 y 4) 1/24)) (.f64 x (fma.f64 (*.f64 y y) -1/2 1)))
(fma.f64 x (fma.f64 (pow.f64 y 6) -1/720 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2))) x)
(fma.f64 x (fma.f64 (pow.f64 y 6) -1/720 (.f64 y (.f64 y (fma.f64 (*.f64 y 1/24) y -1/2)))) x)
(fma.f64 x (fma.f64 (pow.f64 y 6) -1/720 (.f64 y (.f64 y (fma.f64 (*.f64 y y) 1/24 -1/2)))) x)
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 x (cos.f64 y))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`pow1_binary64`
516×	`add-log-exp_binary64`
516×	`log1p-expm1-u_binary64`
516×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	117	7
2	1377	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify143.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1295×	`fma-def_binary64`
788×	`sqr-pow_binary64`
514×	`associate-l_binary64`
480×	`*-commutative_binary64`
448×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	249
1	65	249
2	152	245
3	380	242
4	978	240
5	2286	240
6	2726	240
7	3368	240
8	3486	240
9	3658	240
10	3877	240
11	4863	240
12	5323	240
13	5922	240
14	6672	240
15	7610	240

Stop Event

1×	node limit

Counts

57 → 32

Calls

Call 1

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

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

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1 (*.f64 z (sin.f64 y)))
	0.3b	(pow.f64 (*.f64 z (sin.f64 y)) 2)
	2.1b	(-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2))
✓	17.1b	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 -1 (.f64 z (sin.f64 y))))

Compiler

Compiled 56 to 21 computations (62.5% saved)

series21.0ms (0.2%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 -1 (.f64 z (sin.f64 y))))
2.0ms	y	@	0	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 -1 (.f64 z (sin.f64 y))))
1.0ms	y	@	inf	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 -1 (.f64 z (sin.f64 y))))
1.0ms	y	@	-inf	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 -1 (.f64 z (sin.f64 y))))
1.0ms	x	@	0	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sin.f64 y)) 2)) (/.f64 -1 (.f64 z (sin.f64 y))))

rewrite184.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`prod-diff_binary64`
644×	`log-prod_binary64`
247×	`fma-def_binary64`
240×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	280	34
2	3630	34

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify155.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
539×	`distribute-rgt-in_binary64`
484×	`distribute-lft-in_binary64`
304×	`distribute-rgt-neg-in_binary64`
299×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1032
1	243	995
2	791	974
3	3657	883

Stop Event

1×	node limit

Counts

126 → 109

Calls

Call 1

Inputs
(*.f64 z (sin.f64 y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y z)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y z))) (.f64 -1 (.f64 y (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z))))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 2) z)) (.f64 -1/6 (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z)))))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y z))) (.f64 -1 (.f64 y (-.f64 (.f64 -1 z) (*.f64 -1/6 (/.f64 (pow.f64 x 2) z)))))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 2) z)) (.f64 -1/6 (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z)))))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y z))) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z))))) (.f64 -1 (.f64 (pow.f64 y 5) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 2) z)) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 2) z)) (.f64 -1/6 (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z))))))) (.f64 1/120 (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z))))))))))))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(/.f64 -1 (*.f64 y z))
(-.f64 (.f64 -1/6 (/.f64 y z)) (/.f64 1 (.f64 y z)))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 y z)) (.f64 -7/360 (/.f64 (pow.f64 y 3) z))) (/.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 y z)) (+.f64 (.f64 -7/360 (/.f64 (pow.f64 y 3) z)) (.f64 -31/15120 (/.f64 (pow.f64 y 5) z)))) (/.f64 1 (.f64 y z)))

Outputs
(*.f64 z (sin.f64 y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (/.f64 (*.f64 x x) z) (sin.f64 y)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 z (sin.f64 y)))
(*.f64 (/.f64 x z) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) x)) (sin.f64 y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (/.f64 (*.f64 x x) z) (sin.f64 y)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 z (sin.f64 y)))
(*.f64 (/.f64 x z) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) x)) (sin.f64 y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (/.f64 (*.f64 x x) z) (sin.f64 y)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 z (sin.f64 y)))
(*.f64 (/.f64 x z) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) x)) (sin.f64 y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(*.f64 z (sin.f64 y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 -1 (/.f64 (/.f64 (.f64 x x) z) (sin.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 z (sin.f64 y)) (.f64 (/.f64 x z) (/.f64 x (sin.f64 y))))
(.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y z)))
(neg.f64 (/.f64 (.f64 x x) (.f64 z y)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 z y))
(neg.f64 (.f64 (/.f64 x (.f64 z y)) x))
(*.f64 (/.f64 x z) (/.f64 (neg.f64 x) y))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y z))) (.f64 -1 (.f64 y (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z))))))
(.f64 -1 (+.f64 (/.f64 (.f64 x x) (.f64 z y)) (.f64 y (+.f64 (neg.f64 z) (.f64 1/6 (/.f64 (.f64 x x) z))))))
(-.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 z y)) (.f64 y (fma.f64 z -1 (.f64 (/.f64 x (/.f64 z x)) 1/6))))
(-.f64 (.f64 y (+.f64 z (.f64 -1/6 (.f64 (/.f64 x z) x)))) (.f64 (/.f64 x (*.f64 z y)) x))
(-.f64 (.f64 y (fma.f64 -1/6 (.f64 (/.f64 x z) x) z)) (/.f64 (.f64 x x) (.f64 z y)))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 2) z)) (.f64 -1/6 (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z)))))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y z))) (.f64 -1 (.f64 y (-.f64 (.f64 -1 z) (*.f64 -1/6 (/.f64 (pow.f64 x 2) z)))))))
(fma.f64 -1 (.f64 (-.f64 (.f64 z 1/3) (fma.f64 1/120 (/.f64 (.f64 x x) z) (.f64 -1/6 (+.f64 (neg.f64 z) (.f64 1/6 (/.f64 (.f64 x x) z)))))) (pow.f64 y 3)) (.f64 -1 (+.f64 (/.f64 (.f64 x x) (.f64 z y)) (.f64 y (+.f64 (neg.f64 z) (.f64 1/6 (/.f64 (.f64 x x) z)))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (.f64 x x)) (.f64 z y)) (.f64 y (fma.f64 z -1 (.f64 (/.f64 x (/.f64 z x)) 1/6)))) (.f64 (-.f64 (.f64 z 1/3) (fma.f64 -1/6 (fma.f64 z -1 (.f64 (/.f64 x (/.f64 z x)) 1/6)) (.f64 (/.f64 x (/.f64 z x)) 1/120))) (pow.f64 y 3)))
(-.f64 (.f64 y (+.f64 z (.f64 -1/6 (.f64 (/.f64 x z) x)))) (fma.f64 (+.f64 (fma.f64 z 1/3 (.f64 (.f64 (/.f64 x z) x) -1/120)) (.f64 (-.f64 (.f64 (.f64 (/.f64 x z) x) 1/6) z) 1/6)) (pow.f64 y 3) (.f64 (/.f64 x (.f64 z y)) x)))
(-.f64 (.f64 y (fma.f64 -1/6 (.f64 (/.f64 x z) x) z)) (fma.f64 (-.f64 (.f64 z 1/3) (+.f64 (.f64 z 1/6) (.f64 (.f64 (/.f64 x z) x) -7/360))) (pow.f64 y 3) (/.f64 (.f64 x x) (.f64 z y))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 2) z)) (.f64 -1/6 (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z)))))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y z))) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z))))) (.f64 -1 (.f64 (pow.f64 y 5) (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 2) z)) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 2) z)) (.f64 -1/6 (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z))))))) (.f64 1/120 (-.f64 (.f64 -1 z) (.f64 -1/6 (/.f64 (pow.f64 x 2) z))))))))))))
(fma.f64 -1 (.f64 (-.f64 (.f64 z 1/3) (fma.f64 1/120 (/.f64 (.f64 x x) z) (.f64 -1/6 (+.f64 (neg.f64 z) (.f64 1/6 (/.f64 (.f64 x x) z)))))) (pow.f64 y 3)) (fma.f64 -1 (/.f64 (.f64 x x) (.f64 z y)) (.f64 -1 (+.f64 (.f64 y (+.f64 (neg.f64 z) (.f64 1/6 (/.f64 (.f64 x x) z)))) (.f64 (pow.f64 y 5) (-.f64 (neg.f64 (/.f64 (.f64 (.f64 z z) 2/45) z)) (fma.f64 -1/5040 (/.f64 (.f64 x x) z) (fma.f64 -1/6 (-.f64 (.f64 z 1/3) (fma.f64 1/120 (/.f64 (.f64 x x) z) (.f64 -1/6 (+.f64 (neg.f64 z) (.f64 1/6 (/.f64 (.f64 x x) z)))))) (.f64 (+.f64 (neg.f64 z) (.f64 1/6 (/.f64 (.f64 x x) z))) 1/120)))))))))
(-.f64 (-.f64 (neg.f64 (fma.f64 y (fma.f64 z -1 (.f64 (/.f64 x (/.f64 z x)) 1/6)) (.f64 (pow.f64 y 5) (-.f64 (/.f64 (.f64 (.f64 z (neg.f64 z)) 2/45) z) (fma.f64 (/.f64 x (/.f64 z x)) -1/5040 (fma.f64 -1/6 (-.f64 (.f64 z 1/3) (fma.f64 -1/6 (fma.f64 z -1 (.f64 (/.f64 x (/.f64 z x)) 1/6)) (.f64 (/.f64 x (/.f64 z x)) 1/120))) (.f64 (fma.f64 z -1 (.f64 (/.f64 x (/.f64 z x)) 1/6)) 1/120))))))) (.f64 (/.f64 x z) (/.f64 x y))) (.f64 (-.f64 (.f64 z 1/3) (fma.f64 -1/6 (fma.f64 z -1 (.f64 (/.f64 x (/.f64 z x)) 1/6)) (.f64 (/.f64 x (/.f64 z x)) 1/120))) (pow.f64 y 3)))
(-.f64 (fma.f64 y (+.f64 z (.f64 -1/6 (.f64 (/.f64 x z) x))) (.f64 (pow.f64 y 5) (+.f64 (.f64 (/.f64 z (/.f64 z z)) 2/45) (fma.f64 -1/6 (+.f64 (fma.f64 z 1/3 (.f64 (.f64 (/.f64 x z) x) -1/120)) (.f64 (-.f64 (.f64 (.f64 (/.f64 x z) x) 1/6) z) 1/6)) (fma.f64 (.f64 (/.f64 x z) x) -1/5040 (+.f64 (.f64 z -1/120) (.f64 (.f64 (/.f64 x z) x) 1/720))))))) (fma.f64 (+.f64 (fma.f64 z 1/3 (.f64 (.f64 (/.f64 x z) x) -1/120)) (.f64 (-.f64 (.f64 (.f64 (/.f64 x z) x) 1/6) z) 1/6)) (pow.f64 y 3) (.f64 (/.f64 x (.f64 z y)) x)))
(fma.f64 (pow.f64 y 3) (+.f64 (+.f64 (.f64 z 1/6) (.f64 (.f64 (/.f64 x z) x) -7/360)) (.f64 z -1/3)) (fma.f64 y (fma.f64 -1/6 (.f64 (/.f64 x z) x) z) (fma.f64 (pow.f64 y 5) (fma.f64 (/.f64 z 1) 2/45 (fma.f64 -1/6 (-.f64 (.f64 z 1/3) (+.f64 (.f64 z 1/6) (.f64 (.f64 (/.f64 x z) x) -7/360))) (+.f64 (.f64 z -1/120) (.f64 (.f64 (/.f64 x z) x) 1/840)))) (*.f64 (/.f64 x z) (/.f64 (neg.f64 x) y)))))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) 1))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) 1))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) 1))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) 1))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) 1))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) 1))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) 1))
(.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (*.f64 z (sin.f64 y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2))) (.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) 2))))) (.f64 z (sin.f64 y)))
(fma.f64 (/.f64 x z) (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) 1))
(/.f64 -1 (*.f64 y z))
(/.f64 -1 (*.f64 z y))
(/.f64 (/.f64 -1 y) z)
(-.f64 (.f64 -1/6 (/.f64 y z)) (/.f64 1 (.f64 y z)))
(-.f64 (.f64 -1/6 (/.f64 y z)) (/.f64 1 (.f64 z y)))
(fma.f64 -1/6 (/.f64 y z) (/.f64 (/.f64 -1 y) z))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 y z)) (.f64 -7/360 (/.f64 (pow.f64 y 3) z))) (/.f64 1 (*.f64 y z)))
(-.f64 (fma.f64 -1/6 (/.f64 y z) (.f64 -7/360 (/.f64 (pow.f64 y 3) z))) (/.f64 1 (.f64 z y)))
(fma.f64 -1/6 (/.f64 y z) (fma.f64 -7/360 (/.f64 (pow.f64 y 3) z) (/.f64 (/.f64 -1 y) z)))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 y z)) (+.f64 (.f64 -7/360 (/.f64 (pow.f64 y 3) z)) (.f64 -31/15120 (/.f64 (pow.f64 y 5) z)))) (/.f64 1 (.f64 y z)))
(-.f64 (fma.f64 -1/6 (/.f64 y z) (fma.f64 -7/360 (/.f64 (pow.f64 y 3) z) (.f64 -31/15120 (/.f64 (pow.f64 y 5) z)))) (/.f64 1 (.f64 z y)))
(+.f64 (fma.f64 -7/360 (/.f64 (pow.f64 y 3) z) (*.f64 -31/15120 (/.f64 (pow.f64 y 5) z))) (fma.f64 -1/6 (/.f64 y z) (/.f64 (/.f64 -1 y) z)))
(fma.f64 -1/6 (/.f64 y z) (fma.f64 -31/15120 (/.f64 (pow.f64 y 5) z) (fma.f64 -7/360 (/.f64 (pow.f64 y 3) z) (/.f64 (/.f64 -1 y) z))))
(fma.f64 -1/6 (/.f64 y z) (fma.f64 -7/360 (/.f64 (pow.f64 y 3) z) (fma.f64 -31/15120 (/.f64 (pow.f64 y 5) z) (/.f64 (/.f64 -1 y) z))))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (cos.f64 y))
✓	0.1b	(*.f64 (sin.f64 y) z)
✓	0.2b	(pow.f64 (*.f64 (sin.f64 y) z) 3)
✓	36.0b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite205.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
603×	`add-log-exp_binary64`
603×	`log1p-expm1-u_binary64`
603×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	168	21
2	1728	21

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify213.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-def_binary64`
488×	`distribute-rgt-in_binary64`
483×	`distribute-lft-in_binary64`
479×	`associate-l_binary64`
434×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	821
1	235	803
2	866	747
3	4551	747
4	7123	744
5	7247	744
6	7384	744
7	7538	744
8	7726	744
9	7916	744

Stop Event

1×	node limit

Counts

137 → 72

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (.f64 z (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/2520 (pow.f64 z 2)))) (+.f64 (.f64 -1/5040 (pow.f64 z 3)) (.f64 -1/360 (pow.f64 z 3)))))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3))))))))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))

Outputs
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 (*.f64 1/120 (pow.f64 y 5)) z)))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 (.f64 1/120 (pow.f64 y 5)) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 z (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 1/120 (pow.f64 y 5))))))
(.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (.f64 -1/5040 (pow.f64 y 7)))))
(.f64 z (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y)))
(.f64 (.f64 z (cbrt.f64 -1)) (neg.f64 (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 z (neg.f64 (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y)))
(.f64 (.f64 z (cbrt.f64 -1)) (neg.f64 (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 z (neg.f64 (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y)))
(.f64 (.f64 z (cbrt.f64 -1)) (neg.f64 (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 z (neg.f64 (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) z) (sin.f64 y)))
(.f64 (.f64 z (cbrt.f64 -1)) (neg.f64 (sin.f64 y)))
(.f64 z (.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 z (neg.f64 (.f64 (sin.f64 y) (cbrt.f64 -1))))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(pow.f64 (*.f64 y z) 3)
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(fma.f64 (.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (.f64 (pow.f64 y 3) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 5) (.f64 (pow.f64 z 3) -1/2)))
(.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (.f64 (pow.f64 y 5) -1/2)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3)))))))
(fma.f64 (.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 z z) 2/45) z (*.f64 (pow.f64 z 3) 23/360)))))
(fma.f64 (pow.f64 y 5) (.f64 (pow.f64 z 3) -1/2) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (pow.f64 z 3) 23/360 (*.f64 (pow.f64 z 3) 2/45)))))
(fma.f64 (pow.f64 y 7) (.f64 (pow.f64 z 3) 13/120) (.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 z 3)) (.f64 -1/6 (pow.f64 z 3))) (pow.f64 y 5)) (+.f64 (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z)) (+.f64 (.f64 z (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/2520 (pow.f64 z 2)))) (+.f64 (.f64 -1/5040 (pow.f64 z 3)) (.f64 -1/360 (pow.f64 z 3)))))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 z 2)) (.f64 1/60 (pow.f64 z 2))) z) (+.f64 (.f64 1/18 (pow.f64 z 3)) (.f64 1/120 (pow.f64 z 3))))))))
(fma.f64 (.f64 (pow.f64 z 3) -1/2) (pow.f64 y 5) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 z (.f64 (.f64 z z) 2/45)) (fma.f64 z (.f64 (.f64 z z) -1/315) (.f64 (pow.f64 z 3) -1/336))) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 z z) 2/45) z (*.f64 (pow.f64 z 3) 23/360))))))
(fma.f64 (pow.f64 y 5) (.f64 (pow.f64 z 3) -1/2) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 z 3) 2/45) (fma.f64 (pow.f64 z 3) -1/336 (.f64 (pow.f64 z 3) -1/315))) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (.f64 (pow.f64 y 7) (fma.f64 (pow.f64 z 3) 23/360 (*.f64 (pow.f64 z 3) 2/45))))))
(fma.f64 (pow.f64 y 9) (+.f64 (.f64 (pow.f64 z 3) -1/135) (.f64 (pow.f64 z 3) -31/5040)) (fma.f64 (pow.f64 y 7) (.f64 (pow.f64 z 3) 13/120) (.f64 (pow.f64 z 3) (+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2)))))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 y z)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 y z))
(.f64 z (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 (*.f64 1/120 (pow.f64 y 5)) z)))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(.f64 z (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 z (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) z)) (+.f64 (.f64 y z) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) z)) (.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (.f64 z (pow.f64 y 7)) (.f64 (.f64 1/120 (pow.f64 y 5)) z))))
(fma.f64 -1/6 (.f64 z (pow.f64 y 3)) (fma.f64 y z (.f64 z (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (.f64 1/120 (pow.f64 y 5))))))
(.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (.f64 -1/5040 (pow.f64 y 7)))))
(.f64 z (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))

eval276.0ms (2.9%)

Compiler: Compiled 12332 to 5669 computations (54% saved)

prune388.0ms (4.1%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	553	17	570
Fresh	7	9	16
Picked	0	1	1
Done	4	6	10
Total	564	33	597

Error

0.0b

Counts

597 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	62.9b	(.f64 (.f64 x x) (/.f64 -1 (*.f64 z (sin.f64 y))))
✓	17.9b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) z) 3)))
	30.9b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
	62.5b	(*.f64 (/.f64 x z) (/.f64 (neg.f64 x) y))
	37.5b	(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
	14.8b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)) x)
	62.7b	(.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y z)))
	44.6b	(*.f64 z (log.f64 (exp.f64 (sin.f64 y))))
	62.6b	(/.f64 (neg.f64 (*.f64 (/.f64 x z) x)) (sin.f64 y))
	41.0b	(*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3)))
✓	14.4b	(fma.f64 (sin.f64 y) z x)
	28.1b	(+.f64 (.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) x)) (*.f64 y z))
	41.1b	(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) (-.f64 x (.f64 z (sin.f64 y))))
	39.4b	x
	42.3b	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
	44.6b	(*.f64 z (-.f64 (+.f64 1 (sin.f64 y)) 1))
	0.2b	(+.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (.f64 (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))) x)) (*.f64 z (sin.f64 y)))
✓	37.0b	(*.f64 z (sin.f64 y))
✓	0.1b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	59.6b	(.f64 (-.f64 (.f64 x x) (.f64 z (.f64 z (.f64 y y)))) (/.f64 -1 (.f64 z (sin.f64 y))))
	22.2b	(+.f64 x (*.f64 z (log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 y)))))))
	50.8b	(.f64 (.f64 z (.f64 z (neg.f64 (pow.f64 (sin.f64 y) 2)))) (/.f64 -1 (.f64 z (sin.f64 y))))
	51.2b	(.f64 (.f64 x x) (/.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
	48.6b	(/.f64 (.f64 (/.f64 -1 z) (-.f64 (.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sin.f64 y))
	0.5b	(+.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 y)))) 1/3) (.f64 (cbrt.f64 (cos.f64 y)) x)) (*.f64 z (sin.f64 y)))
	30.9b	(+.f64 (.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (sin.f64 y)))
✓	14.4b	(+.f64 x (*.f64 z (sin.f64 y)))
✓	32.0b	(+.f64 (*.f64 y z) x)
	37.0b	(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
	1.0b	(+.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (cos.f64 y)) x)) 3)) (*.f64 z (sin.f64 y)))
	23.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z y))
✓	4.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
	54.0b	(*.f64 z y)

Compiler

Compiled 446 to 308 computations (30.9% saved)

regimes190.0ms (2%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

4 calls:

74.0ms	y
32.0ms	x
32.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
28.0ms	z

Results

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

Compiler

Compiled 708 to 268 computations (62.1% saved)

regimes144.0ms (1.5%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

90.0ms	z
24.0ms	x
24.0ms	y

Results

Error	Segments	Branch
10.1b	3	`x`
11.8b	3	`y`
9.2b	3	`z`

Compiler

Compiled 149 to 57 computations (61.7% saved)

bsearch179.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
106.0ms	1.232089716797245e-50	1.3529052210315579e-50
73.0ms	-5.968160028280453e-112	-5.596833524610456e-112

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
6.0ms	x
5.0ms	z

Results

Error	Segments	Branch
14.4b	1	`x`
14.4b	1	`y`
14.4b	1	`z`

Compiler

Compiled 50 to 27 computations (46% saved)

regimes61.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
22.0ms	x
13.0ms	y

Results

Error	Segments	Branch
25.2b	5	`x`
15.8b	3	`y`
23.5b	6	`z`

Compiler

Compiled 36 to 21 computations (41.7% saved)

bsearch78.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	0.00530544987912511	2906.1602238907712
39.0ms	-3057.115125523127	-0.013283352128549315

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	z
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
32.0b	1	`x`
32.0b	1	`y`
32.0b	1	`z`

Compiler

Compiled 32 to 19 computations (40.6% saved)

regimes90.0ms (0.9%)

Accuracy

Total -25.9b remaining (-71.1%)

Threshold costs -25.9b (-71.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)

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

Calls

3 calls:

70.0ms	x
9.0ms	z
9.0ms	y

Results

Error	Segments	Branch
37.1b	3	`x`
38.2b	3	`y`
36.4b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch147.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
66.0ms	1.9405939088225055e+125	8.620845647439632e+134
81.0ms	-3.8173405249052746e+181	-1.2566485803852353e+177

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	125
1	40	125

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -3231979773452429/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 1297541916171815/105312291668557186697918027683670432318895095400549111254310977536) (+.f64 (.f64 x (cos.f64 y)) (.f64 z y)) (+.f64 x (.f64 z (sin.f64 y)))))
(+.f64 x (*.f64 z (sin.f64 y)))
(if (<=.f64 y -840333406990641/274877906944) (.f64 z (sin.f64 y)) (if (<=.f64 y 382297953578571/72057594037927936) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(if (<=.f64 z -38173405249052745903442455558535161115532334499430041936384987948291694593671733279946349579964935229944188859686235747108198485684569448599460777136638306420576611981635930904592384) (.f64 z y) (if (<=.f64 z 194059390882250546604263685084909351721410685333358445842054251286074098811217175347307838322490011986575625955919011482959872) x (.f64 z y)))
x

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z -3231979773452429/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 1297541916171815/105312291668557186697918027683670432318895095400549111254310977536) (+.f64 (.f64 x (cos.f64 y)) (.f64 z y)) (+.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z -3231979773452429/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (+.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z 1297541916171815/105312291668557186697918027683670432318895095400549111254310977536) (+.f64 (.f64 x (cos.f64 y)) (.f64 y z)) (+.f64 x (.f64 z (sin.f64 y)))))
(+.f64 x (*.f64 z (sin.f64 y)))
(if (<=.f64 y -840333406990641/274877906944) (.f64 z (sin.f64 y)) (if (<=.f64 y 382297953578571/72057594037927936) (+.f64 (.f64 y z) x) (*.f64 z (sin.f64 y))))
(if (<=.f64 y -840333406990641/274877906944) (.f64 z (sin.f64 y)) (if (<=.f64 y 382297953578571/72057594037927936) (+.f64 x (.f64 y z)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 y z) x)
(+.f64 x (*.f64 y z))
(if (<=.f64 z -38173405249052745903442455558535161115532334499430041936384987948291694593671733279946349579964935229944188859686235747108198485684569448599460777136638306420576611981635930904592384) (.f64 z y) (if (<=.f64 z 194059390882250546604263685084909351721410685333358445842054251286074098811217175347307838322490011986575625955919011482959872) x (.f64 z y)))
(if (<=.f64 z -38173405249052745903442455558535161115532334499430041936384987948291694593671733279946349579964935229944188859686235747108198485684569448599460777136638306420576611981635930904592384) (.f64 y z) (if (<=.f64 z 194059390882250546604263685084909351721410685333358445842054251286074098811217175347307838322490011986575625955919011482959872) x (.f64 y z)))
x

Compiler

Compiled 106 to 61 computations (42.5% saved)

soundness0.0ms (0%)

end99.0ms (1%)

Compiler: Compiled 88 to 30 computations (65.9% saved)