Details

analyze257.0ms (4.1%)

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)

sample2.7s (43.2%)

Results

1.2s	2131×	body	1024	valid
1.1s	5072×	body	256	valid
449.0ms	1049×	body	512	valid
3.0ms	4×	body	2048	valid

Bogosity

preprocess17.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	38	48
2	50	48
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 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 (sin.f64 y)) (.f64 z (cos.f64 y)))

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series9.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

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

rewrite44.0ms (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	12
1	155	12
2	1836	12

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

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

Outputs

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

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

simplify41.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

740×	`log-prod_binary64`
680×	`distribute-rgt-in_binary64`
655×	`associate-l_binary64`
575×	`associate-r_binary64`
298×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	492
1	272	485
2	893	470
3	4531	469

Stop Event

1×	node limit

Counts

66 → 55

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))

Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) y))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (.f64 1/120 (pow.f64 y 5))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 (.f64 y -1/2) y 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) z))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)

eval13.0ms (0.2%)

Compiler: Compiled 881 to 412 computations (53.2% saved)

prune17.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Error

0.1b

Counts

56 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.6b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	30.8b	(+.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (.f64 (pow.f64 y 3) x))))) (.f64 z (cos.f64 y)))
	23.8b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
	31.4b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
▶	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	28.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
▶	28.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
▶	15.2b	(+.f64 (*.f64 x (sin.f64 y)) z)

Compiler

Compiled 276 to 198 computations (28.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series15.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
3.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
1.0ms	z	@	0	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1669	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

Outputs

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

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

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-def_binary64`
369×	`*-commutative_binary64`
338×	`log-prod_binary64`
325×	`fma-neg_binary64`
290×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	902
1	506	859
2	1660	822
3	5751	814

Stop Event

1×	node limit

Counts

76 → 86

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (.f64 (pow.f64 1 1/3) z))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3))))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(pow.f64 z 1/3)
(+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 1 (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (cos.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))

Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (.f64 (pow.f64 1 1/3) z))
(fma.f64 (.f64 z -1/2) (.f64 y y) z)
(fma.f64 z (.f64 (.f64 y y) -1/2) z)
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (.f64 z 1/18))) (pow.f64 y 4) z))
(fma.f64 (fma.f64 z 1/18 (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (.f64 z -1/72))) (pow.f64 y 4) (fma.f64 z (.f64 (*.f64 y y) -1/2) z))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3))))) (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))))) (pow.f64 y 6)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24))))) (.f64 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) -1/9)) (+.f64 (.f64 1/3 (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24))))) (fma.f64 -1/6 (.f64 (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z)) (.f64 -1/9 (.f64 z -1/24))))) (pow.f64 y 6) (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 (fma.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 z)) (-.f64 (.f64 z 7/2160) (.f64 z 1/72))) (.f64 (.f64 z -1/24) (.f64 (cbrt.f64 (/.f64 1 z)) -1/9))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (.f64 z 7/2160) (.f64 z 1/72)) (fma.f64 (.f64 -1/6 (cbrt.f64 z)) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 (.f64 z -1/24) -1/9)))) (pow.f64 y 6) (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 (fma.f64 1/3 (.f64 z -23/2160) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 z)) (+.f64 (.f64 2/3 (.f64 z -23/2160)) (.f64 -1/24 (.f64 z -1/9)))) (cbrt.f64 z) (fma.f64 (.f64 z -1/24) -1/9 (.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (.f64 -1/6 (cbrt.f64 z)))))) (pow.f64 y 6) (fma.f64 (fma.f64 z 1/18 (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (.f64 z -1/72))) (pow.f64 y 4) z)))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))
(fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z))
(.f64 (+.f64 (.f64 -1/6 (*.f64 y y)) 1) (cbrt.f64 z))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 z -1/24) (pow.f64 y 4))) (+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z)))
(fma.f64 1/3 (.f64 (.f64 z -1/24) (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 z z))))) (fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)))
(fma.f64 -1/6 (.f64 y (.f64 y (cbrt.f64 z))) (fma.f64 (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 z z)))) (*.f64 z -1/72) (cbrt.f64 z)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/216 z) (.f64 -1/3 (-.f64 (.f64 1/24 z) (.f64 1/12 z)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (.f64 1/12 z))))) (+.f64 (pow.f64 z 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 z) 1/3) (pow.f64 y 2))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (-.f64 (.f64 z -1/720) (fma.f64 -1/216 z (.f64 -1/3 (.f64 z -1/24)))) (pow.f64 y 6))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 z -1/24) (pow.f64 y 4))) (+.f64 (.f64 -1/6 (.f64 (*.f64 y y) (cbrt.f64 z))) (cbrt.f64 z))))
(+.f64 (fma.f64 -1/6 (.f64 (.f64 y y) (cbrt.f64 z)) (cbrt.f64 z)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 z z)))) (+.f64 (.f64 (-.f64 (.f64 z 7/2160) (.f64 z 1/72)) (pow.f64 y 6)) (.f64 z (.f64 -1/24 (pow.f64 y 4))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (fma.f64 (.f64 z -23/2160) (pow.f64 y 6) (.f64 z (.f64 (pow.f64 y 4) -1/24)))) (.f64 (+.f64 (.f64 -1/6 (.f64 y y)) 1) (cbrt.f64 z)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 1 (cbrt.f64 (.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/6) 4)
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.1b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
✓	41.1b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite48.0ms (0.8%)

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	15
1	168	15
2	1728	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-def_binary64`
380×	`exp-prod_binary64`
358×	`cube-prod_binary64`
352×	`fma-neg_binary64`
344×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	957
1	427	931
2	1569	898
3	5501	898

Stop Event

1×	node limit

Counts

102 → 85

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 z 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (.f64 -1/720 (pow.f64 z 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z)) (.f64 -1/24 (pow.f64 z 3)))))) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(.f64 1 (.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1)
(.f64 z (.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (cos.f64 y) (.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1)
(.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1) (.f64 z (cos.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 z (cos.f64 y)))))

Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z)))
(.f64 (.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 (cos.f64 y) (neg.f64 (.f64 z (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z)))
(.f64 (.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 (cos.f64 y) (neg.f64 (.f64 z (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z)))
(.f64 (.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 (cos.f64 y) (neg.f64 (.f64 z (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z)))
(.f64 (.f64 (cos.f64 y) z) (neg.f64 (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 (cos.f64 y) (neg.f64 (.f64 z (cbrt.f64 -1))))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(pow.f64 z 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (pow.f64 z 3))
(fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z))))))
(+.f64 (fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3)) (.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (.f64 z (.f64 (.f64 z z) 1/3))))))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (fma.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) 13/24)) (pow.f64 z 3)))
(fma.f64 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (*.f64 (pow.f64 z 3) 7/8) (pow.f64 z 3)))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 z 3)) (.f64 -1/2 (pow.f64 z 3))) (pow.f64 y 2)) (+.f64 (pow.f64 z 3) (+.f64 (.f64 (pow.f64 y 6) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (+.f64 (.f64 -1/720 (pow.f64 z 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z)) (.f64 -1/24 (pow.f64 z 3)))))) (.f64 (pow.f64 y 4) (+.f64 (.f64 1/24 (pow.f64 z 3)) (+.f64 (.f64 1/2 (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (*.f64 1/12 (pow.f64 z 2))) z)))))))
(+.f64 (fma.f64 (.f64 (pow.f64 z 3) -3/2) (.f64 y y) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (fma.f64 (.f64 (.f64 z z) -2/45) z (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (.f64 z (.f64 (.f64 z z) 1/3)) (.f64 (pow.f64 z 3) -1/24)))) (.f64 (pow.f64 y 4) (fma.f64 1/24 (pow.f64 z 3) (fma.f64 1/2 (pow.f64 z 3) (.f64 z (.f64 (.f64 z z) 1/3)))))))
(+.f64 (fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)) (fma.f64 (pow.f64 y 6) (+.f64 (.f64 (pow.f64 z 3) -2/45) (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/2 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) -1/24)))) (.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) 13/24)))))
(fma.f64 y (.f64 y (.f64 (pow.f64 z 3) -3/2)) (fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (pow.f64 y 6) (fma.f64 (pow.f64 z 3) -2/45 (fma.f64 -1/2 (.f64 (pow.f64 z 3) 1/3) (*.f64 (pow.f64 z 3) -31/720))) (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (cos.f64 y) z)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 z (.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (cos.f64 y) (.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1) (.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 z (cos.f64 y)))))
(pow.f64 (*.f64 (cos.f64 y) z) 3)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	6.4b	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series14.0ms (0.2%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(sqrt.f64 (*.f64 x (sin.f64 y)))
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
1.0ms	x	@	0	(sqrt.f64 (*.f64 x (sin.f64 y)))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)

Outputs

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

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

simplify39.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

478×	`distribute-rgt-in_binary64`
454×	`distribute-lft-in_binary64`
446×	`fma-def_binary64`
441×	`associate-+l+_binary64`
425×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	488
1	220	488
2	729	488
3	2888	488

Stop Event

1×	node limit

Counts

66 → 53

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (sin.f64 y)))) 1)
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 1)
(.f64 1 (sqrt.f64 (.f64 x (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/4) (pow.f64 (*.f64 x (sin.f64 y)) 1/4))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (sin.f64 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1/2))
(pow.f64 (*.f64 x (sin.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sin.f64 y)) 1)
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(.f64 1 (.f64 x (sin.f64 y)))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x))
(.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 1/4)) (pow.f64 (*.f64 x (sin.f64 y)) 1/4))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))

Outputs
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (sin.f64 y)))) 1)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 1)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 1 (sqrt.f64 (.f64 x (sin.f64 y))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 (*.f64 x (sin.f64 y))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/4) (pow.f64 (*.f64 x (sin.f64 y)) 1/4))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (sin.f64 y))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1/2))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 x (sin.f64 y)) 1/2)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 3)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/4) 2)
(sqrt.f64 (*.f64 (sin.f64 y) x))
(fabs.f64 (sqrt.f64 (*.f64 x (sin.f64 y))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 1 (.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(*.f64 (sin.f64 y) x)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x))
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/4) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (sin.f64 y) x)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 1/4)) (pow.f64 (*.f64 x (sin.f64 y)) 1/4))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.3b	(pow.f64 (cos.f64 y) 3)
✓	41.1b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))

Compiler

Compiled 53 to 29 computations (45.3% saved)

series7.0ms (0.1%)

Counts

3 → 40

Calls

15 calls:

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

rewrite52.0ms (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 z 3)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))

Outputs

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

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

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

588×	`fma-def_binary64`
549×	`distribute-rgt-in_binary64`
386×	`exp-prod_binary64`
351×	`fabs-mul_binary64`
348×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	923
1	395	849
2	1384	773
3	4102	767

Stop Event

1×	node limit

Counts

96 → 107

Calls

Call 1

Inputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
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 z 3)
(+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (pow.f64 z 3))
(+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3))) (pow.f64 z 3)))
(+.f64 (.f64 -61/240 (.f64 (pow.f64 y 6) (pow.f64 z 3))) (+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3))) (pow.f64 z 3))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) z) 1)
(.f64 1 (.f64 (cos.f64 y) z))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3) (pow.f64 (pow.f64 z 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 (cos.f64 y) z))))

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 (.f64 -1/2 y) y 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 (.f64 1/24 (pow.f64 y 4)) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 (*.f64 1/24 (pow.f64 y 4)) z))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (fma.f64 z (*.f64 1/24 (pow.f64 y 4)) z))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 z (neg.f64 (.f64 (cos.f64 y) (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 z (neg.f64 (.f64 (cos.f64 y) (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 z (neg.f64 (.f64 (cos.f64 y) (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(.f64 z (neg.f64 (.f64 (cos.f64 y) (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)
(+.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 y (*.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1))
(fma.f64 (*.f64 y 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 (fma.f64 (pow.f64 y 6) -61/240 (.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)))
(fma.f64 (pow.f64 y 6) -61/240 (fma.f64 (*.f64 y y) -3/2 (fma.f64 (pow.f64 y 4) 7/8 1)))
(pow.f64 z 3)
(+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (pow.f64 z 3))
(fma.f64 -3/2 (.f64 (.f64 y y) (pow.f64 z 3)) (pow.f64 z 3))
(.f64 (fma.f64 (.f64 y y) -3/2 1) (pow.f64 z 3))
(+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3))) (pow.f64 z 3)))
(fma.f64 -3/2 (.f64 (.f64 y y) (pow.f64 z 3)) (fma.f64 7/8 (*.f64 (pow.f64 y 4) (pow.f64 z 3)) (pow.f64 z 3)))
(+.f64 (pow.f64 z 3) (.f64 (pow.f64 z 3) (fma.f64 (.f64 y y) -3/2 (*.f64 (pow.f64 y 4) 7/8))))
(.f64 (pow.f64 z 3) (fma.f64 y (.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1)))
(.f64 (fma.f64 (.f64 y y) -3/2 (fma.f64 (pow.f64 y 4) 7/8 1)) (pow.f64 z 3))
(+.f64 (.f64 -61/240 (.f64 (pow.f64 y 6) (pow.f64 z 3))) (+.f64 (.f64 -3/2 (.f64 (pow.f64 y 2) (pow.f64 z 3))) (+.f64 (.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3))) (pow.f64 z 3))))
(fma.f64 -61/240 (.f64 (pow.f64 y 6) (pow.f64 z 3)) (fma.f64 -3/2 (.f64 (.f64 y y) (pow.f64 z 3)) (fma.f64 7/8 (.f64 (pow.f64 y 4) (pow.f64 z 3)) (pow.f64 z 3))))
(fma.f64 -61/240 (.f64 (pow.f64 y 6) (pow.f64 z 3)) (+.f64 (pow.f64 z 3) (.f64 (pow.f64 z 3) (fma.f64 (.f64 y y) -3/2 (.f64 (pow.f64 y 4) 7/8)))))
(+.f64 (pow.f64 z 3) (.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 6) -61/240 (fma.f64 y (.f64 y -3/2) (*.f64 (pow.f64 y 4) 7/8)))))
(.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 6) -61/240 (fma.f64 (.f64 y y) -3/2 (fma.f64 (pow.f64 y 4) 7/8 1))))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 3) 1))
(+.f64 (pow.f64 (cos.f64 y) 3) 0)
(pow.f64 (cos.f64 y) 3)
(-.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) 1/3)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 2)
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 6))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3) (pow.f64 (pow.f64 z 3) 3)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 (cos.f64 y) z))))
(pow.f64 (*.f64 z (cos.f64 y)) 3)

eval166.0ms (2.7%)

Compiler: Compiled 10728 to 5221 computations (51.3% saved)

prune107.0ms (1.7%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	537	15	552
Fresh	2	1	3
Picked	1	0	1
Done	2	3	5
Total	542	19	561

Error

0.0b

Counts

561 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	36.3b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	32.0b	(+.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) z)
▶	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (.f64 z (cos.f64 y)))
▶	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	33.2b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	33.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	29.7b	(+.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (.f64 x (sin.f64 y))))) (.f64 z (cos.f64 y)))
	24.3b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	23.8b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
▶	44.4b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
▶	30.8b	(+.f64 (*.f64 y x) z)
	31.9b	(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)) z)
	31.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y))))) 3))
	31.4b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 2))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
▶	32.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	28.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	15.2b	(+.f64 (*.f64 x (sin.f64 y)) z)

Compiler

Compiled 586 to 379 computations (35.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 x) (sin.f64 y))
✓	0.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 51 to 18 computations (64.7% saved)

series58.0ms (0.9%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
47.0ms	y	@	0	(*.f64 (cbrt.f64 x) (sin.f64 y))
2.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))
1.0ms	y	@	inf	(*.f64 (cbrt.f64 x) (sin.f64 y))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Rules

906×	`log-prod_binary64`
618×	`fma-def_binary64`
525×	`fma-neg_binary64`
440×	`*-commutative_binary64`
278×	`log-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	934
1	382	838
2	1576	717
3	4359	706
4	7066	706

Stop Event

1×	node limit

Counts

99 → 106

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) y) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 3))))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) y) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 3))) (.f64 1/120 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 5)))))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) y) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 7))) (.f64 1/120 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 5))))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 x 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) (sin.f64 y)) 3) (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 x) (sin.f64 y))) 1)
(pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 3))
(cbrt.f64 (*.f64 x (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) x))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))

Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) y))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(*.f64 y (cbrt.f64 x))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) y) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 3))))
(fma.f64 (cbrt.f64 x) y (.f64 -1/6 (.f64 (pow.f64 y 3) (cbrt.f64 x))))
(fma.f64 y (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 -1/6 (pow.f64 y 3))))
(*.f64 (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) y) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 3))) (.f64 1/120 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 5)))))
(fma.f64 (cbrt.f64 x) y (fma.f64 -1/6 (.f64 (pow.f64 y 3) (cbrt.f64 x)) (.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 x)))))
(fma.f64 y (cbrt.f64 x) (fma.f64 1/120 (.f64 (pow.f64 y 5) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (*.f64 -1/6 (pow.f64 y 3)))))
(fma.f64 (pow.f64 y 5) (.f64 1/120 (cbrt.f64 x)) (.f64 (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 y 3) y)))
(.f64 (cbrt.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) y) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 7))) (.f64 1/120 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 5))))))
(fma.f64 (cbrt.f64 x) y (fma.f64 -1/6 (.f64 (pow.f64 y 3) (cbrt.f64 x)) (fma.f64 -1/5040 (.f64 (pow.f64 y 7) (cbrt.f64 x)) (.f64 1/120 (.f64 (pow.f64 y 5) (cbrt.f64 x))))))
(fma.f64 y (cbrt.f64 x) (fma.f64 -1/6 (.f64 (pow.f64 y 3) (cbrt.f64 x)) (fma.f64 1/120 (.f64 (pow.f64 y 5) (cbrt.f64 x)) (.f64 -1/5040 (.f64 (pow.f64 y 7) (cbrt.f64 x))))))
(+.f64 (.f64 (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7)))) (*.f64 (cbrt.f64 x) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (cbrt.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (fabs.f64 (cbrt.f64 (cbrt.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 4)
(pow.f64 x 1/3)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(fabs.f64 (cbrt.f64 x))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 3)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) (sin.f64 y)) 3) (*.f64 x x)))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 x) (sin.f64 y))) 1)
(*.f64 (sin.f64 y) (cbrt.f64 x))
(pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 1)
(*.f64 (sin.f64 y) (cbrt.f64 x))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))) 3)
(*.f64 (sin.f64 y) (cbrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))) 2)
(*.f64 (sin.f64 y) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 2))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 3))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(cbrt.f64 (*.f64 x (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) x))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))
(*.f64 (sin.f64 y) (cbrt.f64 x))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))
(*.f64 (sin.f64 y) (cbrt.f64 x))

localize6.0ms (0.1%)

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
	41.1b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 40 to 16 computations (60% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
378×	`pow-prod-down_binary64`
375×	`exp-prod_binary64`
339×	`fma-def_binary64`
272×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	241	10
2	2815	10

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

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

Outputs

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

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-def_binary64`
466×	`fma-neg_binary64`
419×	`div-sub_binary64`
231×	`unswap-sqr_binary64`
203×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	1545
1	528	1525
2	1398	1524
3	5173	1391

Stop Event

1×	node limit

Counts

111 → 106

Calls

Call 1

Inputs
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z))))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z))))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(.f64 (fma.f64 z (cos.f64 y) (.f64 y x)) 1)
(.f64 1 (fma.f64 z (cos.f64 y) (.f64 y x)))
(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2))))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (*.f64 y x) z) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))) (neg.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (*.f64 y x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (fma.f64 z (cos.f64 y) (neg.f64 (*.f64 y x))))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(pow.f64 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))))) (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 x) y)))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 y x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 1) 1))
(fma.f64 y x (*.f64 z (cos.f64 y)))
(fma.f64 x y (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 y x) 1 (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 (.f64 z (cos.f64 y)) 1 (.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 z (cos.f64 y)))

Outputs
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x z))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 y x z))
(fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 y x z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (+.f64 (fma.f64 y x z) (.f64 1/24 (.f64 z (pow.f64 y 4)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 y x (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z)))
(fma.f64 y x (.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (.f64 y (*.f64 y -1/2)))))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 y) z)))
(neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z))))
(fma.f64 y x (neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1))))
(-.f64 (.f64 y x) (.f64 z (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(fma.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)) (.f64 y x))
(-.f64 (.f64 y x) (.f64 (cos.f64 y) (*.f64 z (cbrt.f64 -1))))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z))))
(fma.f64 y x (neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1))))
(-.f64 (.f64 y x) (.f64 z (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(fma.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)) (.f64 y x))
(-.f64 (.f64 y x) (.f64 (cos.f64 y) (*.f64 z (cbrt.f64 -1))))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) z))))
(fma.f64 y x (neg.f64 (.f64 (.f64 z (cos.f64 y)) (cbrt.f64 -1))))
(-.f64 (.f64 y x) (.f64 z (*.f64 (cos.f64 y) (cbrt.f64 -1))))
(fma.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)) (.f64 y x))
(-.f64 (.f64 y x) (.f64 (cos.f64 y) (*.f64 z (cbrt.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(.f64 (fma.f64 z (cos.f64 y) (.f64 y x)) 1)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 1 (fma.f64 z (cos.f64 y) (.f64 y x)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x))) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x)))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(/.f64 1 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x))) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x)))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 1 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (*.f64 y x) 2)))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x))) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x)))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (*.f64 y x) z) (cos.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x))) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x)))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))) (neg.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (*.f64 y x) 2))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x))) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x)))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (fma.f64 z (cos.f64 y) (neg.f64 (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2) 1/2)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3) 1/3)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 3)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))) -1)
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x))) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (fma.f64 z (cos.f64 y) (.f64 y (neg.f64 x)))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(pow.f64 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))))) (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 x) y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 y x)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 1))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1/3))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 3))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 1) 1))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 y x (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 x y (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 y x) 1 (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 z (cos.f64 y)) 1 (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 10 computations (76.2% saved)

series11.0ms (0.2%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(*.f64 (cos.f64 y) (sqrt.f64 z))
1.0ms	z	@	-inf	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
1.0ms	z	@	0	(*.f64 (cos.f64 y) (sqrt.f64 z))
1.0ms	z	@	-inf	(*.f64 (cos.f64 y) (sqrt.f64 z))
0.0ms	y	@	0	(*.f64 (cos.f64 y) (sqrt.f64 z))

rewrite63.0ms (1%)

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	14
1	138	14
2	1640	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

695×	`log-prod_binary64`
621×	`associate-l_binary64`
553×	`associate-r_binary64`
291×	`unswap-sqr_binary64`
258×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	497
1	228	488
2	845	471
3	4530	466

Stop Event

1×	node limit

Counts

58 → 56

Calls

Call 1

Inputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(sqrt.f64 z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (sqrt.f64 z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 z)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 z))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1)
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2)
(sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 z)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 z (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (*.f64 y y)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (sqrt.f64 z))
(fma.f64 -1/2 (.f64 (.f64 y y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (+.f64 (.f64 -1/2 (*.f64 y y)) 1) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 z)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 z))))
(fma.f64 -1/2 (.f64 y (.f64 y (sqrt.f64 z))) (fma.f64 (*.f64 1/24 (pow.f64 y 4)) (sqrt.f64 z) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (.f64 -1/2 (*.f64 y y))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 z))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (pow.f64 y 4) (sqrt.f64 z))))))
(fma.f64 -1/720 (.f64 (pow.f64 y 6) (sqrt.f64 z)) (+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) (sqrt.f64 z)) (sqrt.f64 z)) (.f64 1/24 (*.f64 (pow.f64 y 4) (sqrt.f64 z)))))
(+.f64 (fma.f64 (.f64 1/24 (pow.f64 y 4)) (sqrt.f64 z) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/720 (pow.f64 y 6)) (.f64 -1/2 (*.f64 y y)))))
(fma.f64 (sqrt.f64 z) (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 (sqrt.f64 z) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 (sqrt.f64 z) (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/720 (pow.f64 y 6) (.f64 -1/2 (*.f64 y y)))))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1)
(*.f64 (cos.f64 y) (sqrt.f64 z))
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1)
(*.f64 (cos.f64 y) (sqrt.f64 z))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3)
(*.f64 (cos.f64 y) (sqrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3)
(*.f64 (cos.f64 y) (sqrt.f64 z))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2)
(*.f64 (cos.f64 y) (sqrt.f64 z))
(sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)))
(fabs.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 z)))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(*.f64 (cos.f64 y) (sqrt.f64 z))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(*.f64 (cos.f64 y) (sqrt.f64 z))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	6.8b	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 62 to 18 computations (71% saved)

series10.0ms (0.2%)

Counts

3 → 40

Calls

18 calls:

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

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`pow1_binary64`
627×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
611×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	184	25
2	1810	25

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

689×	`distribute-rgt-in_binary64`
625×	`log-prod_binary64`
620×	`distribute-lft-in_binary64`
438×	`fma-neg_binary64`
330×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	934
1	294	856
2	1037	843
3	3169	843
4	7478	843

Stop Event

1×	node limit

Counts

94 → 83

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (sin.f64 y)))) 1)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 x (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/6) (pow.f64 (*.f64 x (sin.f64 y)) 1/6))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (sin.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1/3))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(fabs.f64 (cbrt.f64 (*.f64 x (sin.f64 y))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) 1)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 1)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 1/6))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/6) (sqrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 x)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 x (sin.f64 y))))))
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))

Outputs
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (sin.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (.f64 1/120 (pow.f64 y 5))))
(.f64 x (+.f64 (.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/5040 (pow.f64 y 7) (.f64 -1/6 (pow.f64 y 3)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x (sin.f64 y)))) 1)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 1)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(.f64 1 (cbrt.f64 (.f64 x (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y)))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/6) (pow.f64 (*.f64 x (sin.f64 y)) 1/6))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) x))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) x))) 4)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1/3))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1/2)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 3)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 (sin.f64 y) x))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(fabs.f64 (cbrt.f64 (*.f64 x (sin.f64 y))))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) 1)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 1)
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 4)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 1/6))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/6) (sqrt.f64 (*.f64 x (sin.f64 y))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(.f64 (.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 x)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))))
(.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 4))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 x (sin.f64 y))))))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)

eval190.0ms (3.1%)

Compiler: Compiled 11454 to 4534 computations (60.4% saved)

prune173.0ms (2.8%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	593	9	602
Fresh	4	7	11
Picked	0	1	1
Done	0	7	7
Total	597	24	621

Error

0.0b

Counts

621 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	36.3b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	32.0b	(+.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) z)
▶	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
✓	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (.f64 z (cos.f64 y)))
✓	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	4.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) x))) (*.f64 z (cos.f64 y)))
	33.2b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
▶	33.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	7.3b	(+.f64 (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (sin.f64 y))) (.f64 z (cos.f64 y)))
▶	24.3b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	24.4b	(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	44.9b	(+.f64 (.f64 y x) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	44.4b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	30.8b	(+.f64 (*.f64 y x) z)
▶	31.4b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 2))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
✓	32.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	37.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3)) (sqrt.f64 z)))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	28.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	15.2b	(+.f64 (*.f64 x (sin.f64 y)) z)
	24.7b	(*.f64 (cos.f64 y) z)
▶	53.1b	(*.f64 y x)
	39.4b	z

Compiler

Compiled 615 to 415 computations (32.5% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)
	0.6b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 (sin.f64 y))
	6.8b	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 75 to 21 computations (72% saved)

series3.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(cbrt.f64 (sin.f64 y))
1.0ms	y	@	-inf	(cbrt.f64 (sin.f64 y))
1.0ms	y	@	0	(cbrt.f64 (sin.f64 y))

rewrite37.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

342×	`pow1_binary64`
330×	`add-sqr-sqrt_binary64`
322×	`*-un-lft-identity_binary64`
317×	`add-log-exp_binary64`
317×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	76	5
2	865	5

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(cbrt.f64 (sin.f64 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/12) (pow.f64 (sin.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 5/6)) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 y) 5/6) 1/3) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 3) 1) (+.f64 (*.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 1 (cbrt.f64 (sin.f64 y)))) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 1 (cbrt.f64 (sin.f64 y)))) 1) (+.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 y))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (sin.f64 y))) 2))))))

simplify41.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

488×	`times-frac_binary64`
414×	`fma-def_binary64`
391×	`associate-l_binary64`
371×	`associate-r_binary64`
327×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	4294967746
1	250	451
2	778	444
3	4532	440

Stop Event

1×	node limit

Counts

47 → 53

Calls

Call 1

Inputs
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(+.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) -1)
(+.f64 0 (cbrt.f64 (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))
(-.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1)
(*.f64 (cbrt.f64 (sin.f64 y)) 1)
(*.f64 1 (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/12))
(*.f64 (pow.f64 (sin.f64 y) 1/12) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 5/6)) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 5/6) 1/3) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 3) 1) (+.f64 (.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 1 (cbrt.f64 (sin.f64 y)))) (+.f64 1 (.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 1 (cbrt.f64 (sin.f64 y)))) 1) (+.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1))
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/6)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2/3)
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)
(pow.f64 (exp.f64 1/3) (log.f64 (sin.f64 y)))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 y))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(fabs.f64 (cbrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (sin.f64 y))) 2))

Outputs
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(+.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) -1)
(cbrt.f64 (sin.f64 y))
(+.f64 0 (cbrt.f64 (sin.f64 y)))
(cbrt.f64 (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))
(cbrt.f64 (sin.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1)
(cbrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) 1)
(cbrt.f64 (sin.f64 y))
(*.f64 1 (cbrt.f64 (sin.f64 y)))
(cbrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))
(cbrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/12))
(*.f64 (pow.f64 (sin.f64 y) 1/12) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/12))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 5/6)) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (cbrt.f64 (pow.f64 (sin.f64 y) 5/6)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5/2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (cbrt.f64 (sin.f64 y))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4) 2))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 5/6) 1/3) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (cbrt.f64 (pow.f64 (sin.f64 y) 5/6)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 3) 1) (+.f64 (.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 1 (cbrt.f64 (sin.f64 y)))) (+.f64 1 (.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 3) -1) (fma.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 1 (+.f64 1 (cbrt.f64 (sin.f64 y))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 3)) (fma.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 3)) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 (cbrt.f64 (sin.f64 y)) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) (+.f64 1 (cbrt.f64 (sin.f64 y)))) 1) (+.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1))
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) 1)
(cbrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/6)
(cbrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/18))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)
(cbrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)
(cbrt.f64 (sin.f64 y))
(pow.f64 (exp.f64 1/3) (log.f64 (sin.f64 y)))
(cbrt.f64 (sin.f64 y))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 y))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(cbrt.f64 (sin.f64 y))
(fabs.f64 (cbrt.f64 (sin.f64 y)))
(cbrt.f64 (sin.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))
(cbrt.f64 (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 3))
(cbrt.f64 (sin.f64 y))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (sin.f64 y))) 2))
(cbrt.f64 (sin.f64 y))

localize3.0ms (0%)

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	0.1b	(*.f64 z (cos.f64 y))
	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
	0.8b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 39 to 13 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
376×	`exp-prod_binary64`
374×	`pow-prod-down_binary64`
370×	`fma-def_binary64`
271×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	238	10
2	2802	10

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (cos.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y x) (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2)) (-.f64 (*.f64 y x) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (cos.f64 y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))) (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) z (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cos.f64 y)) 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (cos.f64 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (*.f64 (cbrt.f64 (cos.f64 y)) z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 5/6) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) 5/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) 1) (cbrt.f64 (*.f64 z (cos.f64 y))) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (cos.f64 y)))))))

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
485×	`div-sub_binary64`
430×	`fma-neg_binary64`
268×	`*-commutative_binary64`
268×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	248	1697
1	677	1677
2	1834	1677
3	6470	1677

Stop Event

1×	node limit

Counts

109 → 104

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (.f64 y x) (.f64 (pow.f64 1 1/3) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (.f64 (pow.f64 1 1/3) z))))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(.f64 (fma.f64 z (cos.f64 y) (.f64 y x)) 1)
(.f64 1 (fma.f64 z (cos.f64 y) (.f64 y x)))
(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y x) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))) (neg.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(pow.f64 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))))) (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 x) y)))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 y x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 1) 1))
(fma.f64 y x (*.f64 z (cos.f64 y)))
(fma.f64 x y (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 y x) 1 (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (*.f64 y x))
(fma.f64 (.f64 z (cos.f64 y)) 1 (.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))) (*.f64 y x))
(fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (.f64 z (cos.f64 y)) 5/6) (*.f64 y x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (.f64 z (cos.f64 y)) 5/6) (pow.f64 (.f64 z (cos.f64 y)) 1/6) (*.f64 y x))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) 1) (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 y x))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (*.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)) (*.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 z (cos.f64 y)))

Outputs
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (.f64 y x) (.f64 (pow.f64 1 1/3) z))
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 y x (fma.f64 (.f64 z -1/2) (.f64 y y) z))
(fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 y x z))
(+.f64 (.f64 y x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) z)) (.f64 -1/6 (.f64 (pow.f64 1 1/3) z))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 1/24 z) (.f64 1/12 z)))) (.f64 1/36 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/3)))) (.f64 1/18 (.f64 (pow.f64 1 1/3) z)))) (pow.f64 y 4)) (.f64 (pow.f64 1 1/3) z))))
(fma.f64 y x (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (+.f64 (.f64 1/3 (.f64 z -1/24)) (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (*.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 y x (fma.f64 (.f64 z -1/2) (.f64 y y) (fma.f64 (fma.f64 1/3 (.f64 z -1/24) (fma.f64 (fma.f64 2/3 (.f64 (.f64 z -1/24) (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (.f64 z 1/18))) (pow.f64 y 4) z)))
(fma.f64 z (.f64 (.f64 y y) -1/2) (fma.f64 y x (fma.f64 (fma.f64 (fma.f64 (.f64 z -1/24) (.f64 2/3 (cbrt.f64 (/.f64 1 z))) (.f64 1/36 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z) (fma.f64 1/3 (.f64 z -1/24) (.f64 z 1/18))) (pow.f64 y 4) z)))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(.f64 (fma.f64 z (cos.f64 y) (.f64 y x)) 1)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 1 (fma.f64 z (cos.f64 y) (.f64 y x)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 1 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y x) (*.f64 z (cos.f64 y))))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))) (neg.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2) 1/2)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3) 1/3)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 3)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2)
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))) -1)
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(pow.f64 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))))) (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 x) y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 y x)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 1))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1/3))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 3))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 1) 1))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 y x (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 x y (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 y x) 1 (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (*.f64 y x))
(fma.f64 (.f64 z (cos.f64 y)) 1 (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (*.f64 y x))
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))) (*.f64 y x))
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))) (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y))))) (*.f64 y x))
(fma.f64 y x (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))))
(fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2))) (*.f64 y x))
(fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) (*.f64 y x))
(fma.f64 y x (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (.f64 z (cos.f64 y)) 5/6) (*.f64 y x))
(fma.f64 y x (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 5/6)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (.f64 z (cos.f64 y)) 5/6) (pow.f64 (.f64 z (cos.f64 y)) 1/6) (*.f64 y x))
(fma.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (.f64 z (cos.f64 y)) 5/6) (*.f64 y x))
(fma.f64 y x (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 5/6)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) 1) (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 y x))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (*.f64 y x))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (*.f64 y x))
(fma.f64 y x (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))) 2)))
(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)) (*.f64 y x))
(fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) (*.f64 y x))
(fma.f64 y x (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 (cos.f64 y) z))
✓	0.1b	(*.f64 (cos.f64 y) z)
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series11.0ms (0.2%)

Counts

3 → 36

Calls

18 calls:

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

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	163	20
2	1592	20

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

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

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

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

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-neg_binary64`
739×	`log-prod_binary64`
557×	`fma-def_binary64`
389×	`*-commutative_binary64`
202×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	939
1	380	900
2	1306	840
3	4097	831
4	6879	831

Stop Event

1×	node limit

Counts

98 → 87

Calls

Call 1

Inputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) z)))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (.f64 -1/4 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) z) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 1 (.f64 (cos.f64 y) z))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (.f64 (cos.f64 y) z) 1/4)) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 z))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 1)
(.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1/2))
(pow.f64 (*.f64 (cos.f64 y) z) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (.f64 z 1/16)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) z)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (*.f64 z 1/16)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(.f64 z (+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (.f64 z 1/16)) z))
(.f64 z (+.f64 (.f64 -1/2 (*.f64 y y)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (*.f64 z 1/16)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(.f64 z (+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (.f64 (.f64 -1/4 (*.f64 y y)) (sqrt.f64 z)))
(.f64 (+.f64 (.f64 (*.f64 y y) -1/4) 1) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (fma.f64 (.f64 y y) -1/4 1))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 z) (fma.f64 1/2 (.f64 (-.f64 (.f64 z 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (.f64 (.f64 -1/4 (*.f64 y y)) (sqrt.f64 z))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 y y) -1/4) 1) (sqrt.f64 z)) (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 z 1/24) (.f64 z 1/16))) (.f64 (sqrt.f64 (/.f64 1 z)) 1/2)))
(fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (.f64 z -1/48) (sqrt.f64 (/.f64 1 z)))) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (.f64 -1/4 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))))
(fma.f64 1/2 (.f64 (pow.f64 y 6) (.f64 (+.f64 (.f64 z -1/720) (.f64 1/4 (-.f64 (.f64 z 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (fma.f64 1/2 (.f64 (-.f64 (.f64 z 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (.f64 (.f64 -1/4 (*.f64 y y)) (sqrt.f64 z)))))
(fma.f64 1/2 (.f64 (fma.f64 z -1/720 (.f64 (-.f64 (.f64 z 1/24) (.f64 z 1/16)) 1/4)) (.f64 (pow.f64 y 6) (sqrt.f64 (/.f64 1 z)))) (+.f64 (.f64 (+.f64 (.f64 (.f64 y y) -1/4) 1) (sqrt.f64 z)) (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 z 1/24) (.f64 z 1/16))) (*.f64 (sqrt.f64 (/.f64 1 z)) 1/2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (pow.f64 y 6) (fma.f64 (.f64 z -1/48) 1/4 (.f64 z -1/720)))) (fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (.f64 z -1/48) (sqrt.f64 (/.f64 1 z)))) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1))))
(+.f64 (.f64 (sqrt.f64 z) (fma.f64 (.f64 y y) -1/4 1)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (+.f64 (.f64 (pow.f64 y 6) (fma.f64 (.f64 z -1/48) 1/4 (.f64 z -1/720))) (.f64 (pow.f64 y 4) (*.f64 z -1/48)))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (.f64 (cos.f64 y) z) 1/4)) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 1/2)
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 y) z))) 1)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 1)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cos.f64 y) z)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1/2))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/2)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) 3)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) 2)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(sqrt.f64 (*.f64 z (cos.f64 y)))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 10 computations (77.8% saved)

series7.0ms (0.1%)

Counts

3 → 44

Calls

15 calls:

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

rewrite50.0ms (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	1640	19

Stop Event

1×	node limit

Counts

3 → 42

Calls

Call 1

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

Outputs

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

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

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

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-def_binary64`
510×	`distribute-rgt-in_binary64`
484×	`distribute-lft-in_binary64`
394×	`log-prod_binary64`
362×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	743
1	263	686
2	928	623
3	3189	608

Stop Event

1×	node limit

Counts

86 → 67

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (sin.f64 y)))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) 2)
(sqrt.f64 (.f64 (sin.f64 y) (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(-.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/2))
(pow.f64 (sin.f64 y) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))

Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (sin.f64 y)))) 1)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 1)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 3) 1/3)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) 3)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) 2)
(*.f64 x (sqrt.f64 (sin.f64 y)))
(sqrt.f64 (.f64 (sin.f64 y) (.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 (sin.f64 y))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (sin.f64 y))))
(*.f64 x (sqrt.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 3))
(*.f64 x (sqrt.f64 (sin.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(*.f64 x (sqrt.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(*.f64 x (sqrt.f64 (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(*.f64 x (sqrt.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)
(pow.f64 (sin.f64 y) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (sqrt.f64 (sin.f64 y)) 1))
(+.f64 (sqrt.f64 (sin.f64 y)) 0)
(sqrt.f64 (sin.f64 y))

eval196.0ms (3.2%)

Compiler: Compiled 12080 to 4803 computations (60.2% saved)

prune128.0ms (2.1%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	581	5	586
Fresh	1	10	11
Picked	1	0	1
Done	2	10	12
Total	585	25	610

Error

0.0b

Counts

610 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	37.5b	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)) (*.f64 y x))
	36.3b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	32.0b	(+.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) z)
✓	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	4.9b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) x))) (*.f64 z (cos.f64 y)))
	33.2b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	33.7b	(+.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	37.5b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (-.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) 1)) (*.f64 z (cos.f64 y)))
	40.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
	7.3b	(+.f64 (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (sin.f64 y))) (.f64 z (cos.f64 y)))
✓	24.3b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	24.4b	(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	44.9b	(+.f64 (.f64 y x) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	44.4b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	30.8b	(+.f64 (*.f64 y x) z)
	31.8b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) 3) 2))
✓	31.4b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 2))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
✓	32.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	28.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	15.2b	(+.f64 (*.f64 x (sin.f64 y)) z)
	24.7b	(*.f64 (cos.f64 y) z)
✓	53.1b	(*.f64 y x)
	39.4b	z

Compiler

Compiled 379 to 258 computations (31.9% saved)

regimes83.0ms (1.3%)

Counts

38 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) y)) z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
(+.f64 (.f64 y x) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))) z)
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 2))
(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
(+.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (.f64 (pow.f64 y 3) x))))) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (cbrt.f64 x) (sin.f64 y))) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (-.f64 (+.f64 1 (sqrt.f64 (sin.f64 y))) 1)) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) 3) 2))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3)) (sqrt.f64 z)))
(+.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3) x))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)) (*.f64 y x))
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y))))) 3))
(+.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (.f64 x (sin.f64 y))))) (.f64 z (cos.f64 y)))

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

Calls

4 calls:

20.0ms	z
18.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
17.0ms	y
17.0ms	x

Results

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

Compiler

Compiled 542 to 202 computations (62.7% saved)

regimes58.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	z
19.0ms	x
19.0ms	y

Results

Error	Segments	Branch
6.9b	3	`x`
10.3b	4	`y`
7.0b	3	`z`

Compiler

Compiled 53 to 28 computations (47.2% saved)

bsearch85.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	2.864802210685416e-125	4.4285123489338425e-116
46.0ms	-6.068695247515499e+30	-2.3564920836118957e+20

Results

42.0ms	94×	body	1024	valid
28.0ms	173×	body	256	valid
10.0ms	37×	body	512	valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

regimes35.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	z
11.0ms	x
11.0ms	y

Results

Error	Segments	Branch
19.2b	3	`x`
15.2b	3	`y`
18.8b	3	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch54.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	2387346450.22095	752707377563.393
29.0ms	-901.760773367421	-1.0491666815934236e-10

Results

51.0ms

288×

body

256

valid

Compiler

Compiled 324 to 229 computations (29.3% saved)

regimes12.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
3.0ms	x
3.0ms	z

Results

Error	Segments	Branch
30.8b	1	`x`
30.8b	1	`y`
30.8b	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes32.0ms (0.5%)

Accuracy

Total -27.5b remaining (-78.8%)

Threshold costs -27.5b (-78.8%)

Counts

2 → 5

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

3 calls:

14.0ms	x
9.0ms	z
8.0ms	y

Results

Error	Segments	Branch
35.0b	5	`x`
37.9b	3	`y`
35.1b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch86.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	8.650410171542639e+76	1.0410926397721233e+77
35.0ms	-9.883103112724682e+97	-1.072544978006888e+94
19.0ms	-7.202556039975565e+190	-4.841713462073088e+190
18.0ms	-1.1823230536834126e+221	-6.642619667446766e+220

Results

43.0ms	88×	body	1024	valid
26.0ms	173×	body	256	valid
12.0ms	43×	body	512	valid

Compiler

Compiled 246 to 184 computations (25.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	127
1	44	127

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -2200000000000000000000) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 8162739579491679/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -4496393867966703/2305843009213693952) (.f64 (cos.f64 y) z) (if (<=.f64 y 2400000000) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -72000000000000003756646637396139717359934083199177450424771820609728419799503615475728239688073887407847061692534585887595854990234648282528788174364792277728994704480191095518512931663223014497125932112967095573071003648) (.f64 y x) (if (<=.f64 x -55999999999999999314569901166244534256050772434517639143060823566976443309545181833304859772350305259672605094598120238228183238206494201574137389678596970659504519345866252997647956319404032) z (if (<=.f64 x -89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248) (.f64 y x) (if (<=.f64 x 98000000000000005254668398302332129954068930733558022498812550955119979528192) z (*.f64 y x)))))
z

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -2200000000000000000000) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 8162739579491679/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x -2200000000000000000000) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 8162739579491679/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -4496393867966703/2305843009213693952) (.f64 (cos.f64 y) z) (if (<=.f64 y 2400000000) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y -4496393867966703/2305843009213693952) (.f64 z (cos.f64 y)) (if (<=.f64 y 2400000000) (+.f64 z (.f64 x y)) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x -72000000000000003756646637396139717359934083199177450424771820609728419799503615475728239688073887407847061692534585887595854990234648282528788174364792277728994704480191095518512931663223014497125932112967095573071003648) (.f64 y x) (if (<=.f64 x -55999999999999999314569901166244534256050772434517639143060823566976443309545181833304859772350305259672605094598120238228183238206494201574137389678596970659504519345866252997647956319404032) z (if (<=.f64 x -89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248) (.f64 y x) (if (<=.f64 x 98000000000000005254668398302332129954068930733558022498812550955119979528192) z (*.f64 y x)))))
(if (<=.f64 x -72000000000000003756646637396139717359934083199177450424771820609728419799503615475728239688073887407847061692534585887595854990234648282528788174364792277728994704480191095518512931663223014497125932112967095573071003648) (.f64 x y) (if (<=.f64 x -55999999999999999314569901166244534256050772434517639143060823566976443309545181833304859772350305259672605094598120238228183238206494201574137389678596970659504519345866252997647956319404032) z (if (<=.f64 x -89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248) (.f64 x y) (if (<=.f64 x 98000000000000005254668398302332129954068930733558022498812550955119979528192) z (*.f64 x y)))))
z

Compiler

Compiled 105 to 59 computations (43.8% saved)

soundness0.0ms (0%)

end42.0ms (0.7%)

Compiler: Compiled 90 to 35 computations (61.1% saved)