Details

analyze219.0ms (3.6%)

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)

sample2.3s (37.9%)

Results

1.3s	6272×	body	256	valid
688.0ms	1343×	body	1024	valid
232.0ms	638×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess15.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

50×	`+-commutative`
48×	`fma-def`
16×	`associate-+l+`
8×	`associate-+r+`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	44	92
2	77	92
3	98	92
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 z (cos.f64 y) (+.f64 x (sin.f64 y)))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (+.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 y (+.f64 (sin.f64 x) (*.f64 z (cos.f64 x))))
(fma.f64 z (cos.f64 x) (+.f64 y (sin.f64 x)))
(+.f64 y (fma.f64 z (cos.f64 x) (sin.f64 x)))
(+.f64 (+.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (+.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (+.f64 (sin.f64 y) z))
(+.f64 (sin.f64 y) (fma.f64 x (cos.f64 y) z))
(+.f64 (+.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
(+.f64 x (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))))
(fma.f64 y (cos.f64 z) (+.f64 x (sin.f64 z)))
(+.f64 x (fma.f64 y (cos.f64 z) (sin.f64 z)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
12×	`fma-def`
4×	`associate-+l+`
2×	`associate-+r+`
2×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	16	23
2	25	23
3	31	23

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 28 to 11 computations (60.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0%)

Counts

2 → 20

Calls

9 calls:

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

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`add-sqr-sqrt`
1448×	`*-un-lft-identity`
1330×	`add-cube-cbrt`
1310×	`add-cbrt-cube`
1294×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	154	16
2	1801	16

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

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

Outputs

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

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-r`
1142×	`distribute-rgt-in`
1130×	`distribute-lft-in`
1088×	`associate-l`
700×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	777
1	236	663
2	888	553
3	4120	551

Stop Event

1×	node limit

Counts

49 → 56

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 (.f64 (.f64 -1/2 y) y) z z)
(fma.f64 z (.f64 y (.f64 y -1/2)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 (.f64 1/24 (pow.f64 y 4)) z))
(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 (*.f64 1/24 (pow.f64 y 4)) z))))
(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 (fma.f64 1/24 (pow.f64 y 4) 1) z (.f64 z (fma.f64 (.f64 y -1/2) y (*.f64 -1/720 (pow.f64 y 6)))))
(.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)))))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/5040 (pow.f64 y 7))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(-.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 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.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 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.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)
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(pow.f64 (sin.f64 y) 1)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) 2)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) 3)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) 3) 1/3)
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) 2))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) 3))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(log1p.f64 (expm1.f64 (sin.f64 y)))
(+.f64 1 (-.f64 (sin.f64 y) 1))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)

eval12.0ms (0.2%)

Compiler: Compiled 841 to 382 computations (54.6% saved)

prune10.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Error

0.0b

Counts

57 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
✓	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
▶	9.7b	(+.f64 (+.f64 x (sin.f64 y)) z)
▶	19.2b	(+.f64 (+.f64 x y) (*.f64 z (cos.f64 y)))

Compiler

Compiled 47 to 32 computations (31.9% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`*-commutative`
902×	`associate-*r/`
790×	`distribute-lft-in`
774×	`associate-*l/`
772×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	197	17
2	2779	17

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs
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Outputs

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

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1812×	`associate-*r/`
1640×	`associate-/r*`
658×	`+-commutative`
652×	`associate-/r/`
612×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	280	5551
1	836	5291
2	3478	5291

Stop Event

1×	node limit

Counts

125 → 180

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(*.f64 z (cos.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series12.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`add-sqr-sqrt`
1624×	`*-un-lft-identity`
1524×	`add-cube-cbrt`
1504×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	203	26
2	2138	26

Stop Event

1×	node limit

Counts

2 → 57

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

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

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1176×	`fma-def`
908×	`*-commutative`
784×	`distribute-lft-in`
740×	`distribute-rgt-in`
528×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	1795
1	539	1709
2	1902	1635
3	5710	1617

Stop Event

1×	node limit

Counts

81 → 92

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

eval109.0ms (1.8%)

Compiler: Compiled 8651 to 3634 computations (58% saved)

prune73.0ms (1.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	371	13	384
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	373	15	388

Error

0.0b

Counts

388 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	42.5b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (sin.f64 y) z) 3)) (+.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 y) z) (-.f64 (+.f64 (sin.f64 y) z) x))))
	24.0b	(+.f64 (+.f64 y z) x)
	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))
	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
▶	0.2b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
▶	15.1b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
	19.5b	(+.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
✓	19.2b	(+.f64 (+.f64 x y) (*.f64 z (cos.f64 y)))
	25.3b	(+.f64 (sin.f64 y) x)
▶	37.3b	(+.f64 z (sin.f64 y))
▶	20.1b	(+.f64 z x)
▶	34.5b	(fabs.f64 (+.f64 (sin.f64 y) (+.f64 z x)))
	47.1b	z
	35.7b	x

Compiler

Compiled 337 to 215 computations (36.2% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 22 computations (61.4% saved)

series19.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

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

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`add-sqr-sqrt`
1880×	`*-un-lft-identity`
1742×	`add-cube-cbrt`
1714×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	218	56
2	2494	56

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-/r*`
704×	`fma-def`
604×	`associate-/l*`
602×	`+-commutative`
588×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	2269
1	407	2223
2	1460	2193
3	4636	2187

Stop Event

1×	node limit

Counts

139 → 138

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.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 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z) 1/3)
(sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405)))
(fma.f64 (pow.f64 y 6) -1/405 (fma.f64 (*.f64 y y) -1/3 1))
(fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 (*.f64 y y) -1/3 1)))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.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 (.f64 y y) z) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) -1/2 1))
(fma.f64 (.f64 y y) (.f64 z -1/2) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (+.f64 (.f64 (*.f64 y y) -1/2) (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(fma.f64 z (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)) (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 (.f64 y y) -1/2 (*.f64 (pow.f64 y 6) -1/720))))
(*.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 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (.f64 -1/3 (.f64 (*.f64 y y) z)))
(fma.f64 -1/3 (.f64 y (.f64 y z)) z)
(.f64 (fma.f64 (.f64 y y) -1/3 1) z)
(.f64 (fma.f64 y (.f64 y -1/3) 1) z)
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 -1/3 (.f64 (.f64 y y) z))))
(+.f64 z (.f64 z (fma.f64 (.f64 y y) -1/3 (*.f64 (pow.f64 y 6) -1/405))))
(.f64 z (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 (.f64 y y) -1/3 1)))
(.f64 (fma.f64 y (.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1)) z)
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(fma.f64 -1/1701 (.f64 (pow.f64 y 8) z) (+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 -1/3 (.f64 (*.f64 y y) z)))))
(+.f64 (.f64 z (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405))) (fma.f64 -1/1701 (.f64 (pow.f64 y 8) z) z))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (.f64 y -1/3) (*.f64 -1/1701 (pow.f64 y 8))))))
(.f64 z (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (.f64 y -1/3) (fma.f64 (pow.f64 y 6) -1/405 1))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y)))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/3))
(cbrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 1))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))) 1))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))) 1)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z) 1/3)
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (.f64 z z)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z))))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z))
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))

localize3.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 7

Calls

6 calls:

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

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1466×	`add-cube-cbrt`
1450×	`add-cbrt-cube`
1436×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1916	11

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1060×	`associate-r`
926×	`associate-l`
686×	`associate-+r+`
528×	`distribute-lft-neg-in`
494×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1149
1	254	981
2	902	843
3	4456	843

Stop Event

1×	node limit

Counts

41 → 50

Calls

Call 1

Inputs
(sin.f64 y)
z
z
z
(+.f64 y z)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y z))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) z)))
(-.f64 (+.f64 1 (+.f64 z (sin.f64 y))) 1)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 z (sin.f64 y))))
(*.f64 (+.f64 z (sin.f64 y)) 1)
(*.f64 1 (+.f64 z (sin.f64 y)))
(*.f64 (sqrt.f64 (+.f64 z (sin.f64 y))) (sqrt.f64 (+.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (+.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 z (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z (sin.f64 y))) 2) (cbrt.f64 (+.f64 z (sin.f64 y))))
(.f64 (-.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 z (sin.f64 y))))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 z z (.f64 (sin.f64 y) (-.f64 (sin.f64 y) z)))))
(/.f64 1 (/.f64 (-.f64 z (sin.f64 y)) (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))
(/.f64 1 (/.f64 (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))) (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (.f64 z z) (.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z)))))
(pow.f64 (+.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (+.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 z (sin.f64 y)) 2))
(log.f64 (exp.f64 (+.f64 z (sin.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (+.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (+.f64 z (sin.f64 y))))
(fma.f64 1 z (sin.f64 y))
(fma.f64 1 (sin.f64 y) z)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (sin.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (sin.f64 y))

Outputs
(sin.f64 y)
z
z
z
(+.f64 y z)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y z))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y z))
(+.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 y (fma.f64 -1/6 (pow.f64 y 3) z))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) z)))
(fma.f64 -1/6 (pow.f64 y 3) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) z)))
(+.f64 (fma.f64 1/120 (pow.f64 y 5) z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) z)))
(-.f64 (+.f64 1 (+.f64 z (sin.f64 y))) 1)
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) 2) (-.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y)))
(*.f64 (+.f64 z (sin.f64 y)) 1)
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(*.f64 1 (+.f64 z (sin.f64 y)))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(*.f64 (sqrt.f64 (+.f64 z (sin.f64 y))) (sqrt.f64 (+.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(*.f64 (cbrt.f64 (+.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (+.f64 z (sin.f64 y))) 2))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z (sin.f64 y))) 2) (cbrt.f64 (+.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(.f64 (-.f64 (.f64 z z) (pow.f64 (sin.f64 y) 2)) (/.f64 1 (-.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y)))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (/.f64 1 (fma.f64 z z (.f64 (sin.f64 y) (-.f64 (sin.f64 y) z)))))
(/.f64 (.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 z z (.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) z) (*.f64 z z)))
(/.f64 1 (/.f64 (-.f64 z (sin.f64 y)) (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y)))
(/.f64 1 (/.f64 (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))) (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 z z (.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) z) (*.f64 z z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 z z (.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) z) (*.f64 z z)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (+.f64 (pow.f64 (sin.f64 y) 2) (-.f64 (.f64 z z) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 z z (.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) z) (*.f64 z z)))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (-.f64 (sin.f64 y) z))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (neg.f64 (-.f64 z (sin.f64 y))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (-.f64 z (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (neg.f64 (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z)))))
(/.f64 (.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) 1) (fma.f64 z z (.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 z z (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) z) (*.f64 z z)))
(pow.f64 (+.f64 z (sin.f64 y)) 1)
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(pow.f64 (sqrt.f64 (+.f64 z (sin.f64 y))) 2)
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(pow.f64 (cbrt.f64 (+.f64 z (sin.f64 y))) 3)
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(pow.f64 (pow.f64 (+.f64 z (sin.f64 y)) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(sqrt.f64 (pow.f64 (+.f64 z (sin.f64 y)) 2))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(log.f64 (exp.f64 (+.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(cbrt.f64 (pow.f64 (+.f64 z (sin.f64 y)) 3))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(expm1.f64 (log1p.f64 (+.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(exp.f64 (log.f64 (+.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(exp.f64 (*.f64 (log.f64 (+.f64 z (sin.f64 y))) 1))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(log1p.f64 (expm1.f64 (+.f64 z (sin.f64 y))))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(fma.f64 1 z (sin.f64 y))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(fma.f64 1 (sin.f64 y) z)
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) z)
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (sin.f64 y))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (sin.f64 y)) z)
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (sin.f64 y))
(+.f64 1 (-.f64 (+.f64 (sin.f64 y) z) 1))
(+.f64 (+.f64 (sin.f64 y) z) 0)
(+.f64 (sin.f64 y) z)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`associate-*r/`
954×	`*-commutative`
820×	`distribute-lft-in`
798×	`distribute-rgt-in`
720×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	197	17
2	2783	17

Stop Event

1×	node limit

Counts

1 → 88

Calls

Call 1

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

Outputs

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

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1638×	`associate-/r*`
756×	`associate-+r+`
740×	`associate-+l+`
734×	`+-commutative`
652×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	275	5632
1	827	5378
2	3588	5378

Stop Event

1×	node limit

Counts

124 → 166

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 10 computations (77.8% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

15 calls:

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

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1630×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1478×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	175	35
2	2090	35

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

Outputs

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

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

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

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1290×	`associate-+r+`
1204×	`associate-+l+`
888×	`*-commutative`
756×	`unswap-sqr`
590×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1379
1	325	1347
2	1094	1313
3	3928	1281

Stop Event

1×	node limit

Counts

93 → 99

Calls

Call 1

Inputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
z
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z)))))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1)
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)
(sqrt.f64 (.f64 (cos.f64 y) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 (cos.f64 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(pow.f64 (cos.f64 y) 1/2)
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))

Outputs
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 1/24 (*.f64 z (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(fma.f64 (fma.f64 1/24 (pow.f64 y 4) 1) z (.f64 z (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(.f64 z (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 -1/2 (.f64 y y) (*.f64 -1/720 (pow.f64 y 6)))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) z)
(*.f64 z (sqrt.f64 (cos.f64 y)))
z
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/4 (.f64 z (.f64 y y)) z)
(fma.f64 (.f64 y (.f64 y z)) -1/4 z)
(.f64 z (fma.f64 y (.f64 y -1/4) 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/4 (.f64 z (.f64 y y)) z) (.f64 (.f64 z (pow.f64 y 4)) -1/96))
(fma.f64 (.f64 y (.f64 y z)) -1/4 (*.f64 (fma.f64 (pow.f64 y 4) -1/96 1) z))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1)))
(+.f64 (.f64 -19/5760 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 -1/96 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -19/5760 (.f64 z (pow.f64 y 6)) (+.f64 (fma.f64 -1/4 (.f64 z (.f64 y y)) z) (.f64 (*.f64 z (pow.f64 y 4)) -1/96)))
(fma.f64 (.f64 z (pow.f64 y 6)) -19/5760 (fma.f64 (.f64 y (.f64 y z)) -1/4 (.f64 (fma.f64 (pow.f64 y 4) -1/96 1) z)))
(+.f64 z (.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (*.f64 (pow.f64 y 6) -19/5760)))))
(.f64 z (fma.f64 y (.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (fma.f64 (pow.f64 y 6) -19/5760 1))))
1
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) 1)
(fma.f64 -1/4 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/4 1)
(fma.f64 y (*.f64 y -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (.f64 (pow.f64 y 4) -1/96))
(fma.f64 (*.f64 y y) -1/4 (fma.f64 (pow.f64 y 4) -1/96 1))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 1))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/4 (.f64 y y) 1) (fma.f64 -1/96 (pow.f64 y 4) (.f64 (pow.f64 y 6) -19/5760)))
(+.f64 (fma.f64 (.f64 y y) -1/4 1) (fma.f64 (pow.f64 y 4) -1/96 (.f64 (pow.f64 y 6) -19/5760)))
(fma.f64 y (*.f64 y -1/4) (fma.f64 (pow.f64 y 4) -1/96 (fma.f64 (pow.f64 y 6) -19/5760 1)))
(-.f64 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.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)
(log.f64 (+.f64 1 (expm1.f64 (*.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)
(expm1.f64 (log1p.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)
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))) 1)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 1)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)
(*.f64 z (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (.f64 (cos.f64 y) (.f64 z z)))
(fabs.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (cos.f64 y))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y))))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 (cos.f64 y)))) 1))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))))
(*.f64 z (sqrt.f64 (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 y)))) 1)
(sqrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cos.f64 y)) 1)
(sqrt.f64 (cos.f64 y))
(*.f64 1 (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (cos.f64 y)) 3/2)
(pow.f64 (cos.f64 y) 1/2)
(sqrt.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(sqrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(sqrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(sqrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(fabs.f64 (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 y)))))
(sqrt.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1/2))
(sqrt.f64 (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 1))
(sqrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (cos.f64 y))

eval163.0ms (2.7%)

Compiler: Compiled 12181 to 4957 computations (59.3% saved)

prune125.0ms (2.1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	617	4	621
Fresh	0	8	8
Picked	0	1	1
Done	1	5	6
Total	618	18	636

Error

Counts

636 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	42.5b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (sin.f64 y) z) 3)) (+.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 y) z) (-.f64 (+.f64 (sin.f64 y) z) x))))
	24.0b	(+.f64 (+.f64 y z) x)
	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))
▶	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
▶	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))))
✓	0.2b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
✓	15.1b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
	19.5b	(+.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
✓	19.2b	(+.f64 (+.f64 x y) (*.f64 z (cos.f64 y)))
▶	25.3b	(+.f64 (sin.f64 y) x)
✓	37.3b	(+.f64 z (sin.f64 y))
▶	45.4b	(+.f64 z y)
✓	20.1b	(+.f64 z x)
	52.5b	(sin.f64 y)
▶	54.3b	(fabs.f64 z)
	47.1b	z
	35.7b	x

Compiler

Compiled 340 to 222 computations (34.7% saved)

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
✓	0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
✓	0.3b	(pow.f64 (cos.f64 y) 2)
	0.3b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 66 to 33 computations (50% saved)

series7.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
1.0ms	z	@	0	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
1.0ms	y	@	inf	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.0ms	y	@	0	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.0ms	z	@	inf	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`*-commutative`
916×	`unswap-sqr`
906×	`sqrt-prod`
628×	`swap-sqr`
444×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	267	43
2	3036	43

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

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

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

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

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1520×	`associate-/r*`
988×	`associate-+r+`
980×	`associate-+l+`
974×	`fma-def`
690×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	2960
1	603	2818
2	1847	2750
3	5002	2750

Stop Event

1×	node limit

Counts

128 → 141

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) -1)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))
(+.f64 1/2 (.f64 1 (.f64 1/2 (cos.f64 (+.f64 y y)))))
(+.f64 1/2 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) 1))
(+.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 2)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 (cos.f64 y) 3)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 2) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6) (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (cos.f64 y)))
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 1) 2)
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) (.f64 1/2 (cos.f64 (+.f64 y y))))) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) 3)) (+.f64 1/4 (-.f64 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) (.f64 1/2 (cos.f64 (+.f64 y y)))) (.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) -2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(fabs.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(cbrt.f64 (pow.f64 (cos.f64 y) 6))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.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 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(fabs.f64 (*.f64 (cos.f64 y) z))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1))))
(pow.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(pow.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (cos.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3)
(pow.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (cos.f64 y))) 4))
(fabs.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (cos.f64 y)) 2/3)))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))

Outputs
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (.f64 1/3 (pow.f64 y 4)))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) 1) (*.f64 y y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1 (.f64 y y) 1) (fma.f64 -2/45 (pow.f64 y 6) (.f64 1/3 (pow.f64 y 4))))
(+.f64 (-.f64 1 (.f64 y y)) (fma.f64 1/3 (pow.f64 y 4) (.f64 -2/45 (pow.f64 y 6))))
(-.f64 (fma.f64 1/3 (pow.f64 y 4) (fma.f64 -2/45 (pow.f64 y 6) 1)) (*.f64 y y))
(*.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 (.f64 y y) z) z)
(fma.f64 -1/2 (.f64 y (.f64 y z)) z)
(fma.f64 (.f64 y y) (.f64 z -1/2) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 z (+.f64 (.f64 (pow.f64 y 4) 1/24) (fma.f64 (*.f64 y y) -1/2 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(fma.f64 z (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) 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 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (.f64 (.f64 (*.f64 y y) z) -1/3))
(fma.f64 (.f64 (.f64 -1/3 y) y) z z)
(.f64 z (fma.f64 (.f64 y y) -1/3 1))
(fma.f64 (.f64 y y) (.f64 z -1/3) z)
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 (.f64 (.f64 y y) z) -1/3)))
(+.f64 z (.f64 z (+.f64 (.f64 (.f64 -1/3 y) y) (.f64 (pow.f64 y 6) -1/405))))
(fma.f64 z (fma.f64 (.f64 y y) -1/3 (.f64 (pow.f64 y 6) -1/405)) z)
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(fma.f64 -1/1701 (.f64 z (pow.f64 y 8)) (+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 (.f64 (*.f64 y y) z) -1/3))))
(+.f64 (.f64 z (+.f64 (.f64 (.f64 -1/3 y) y) (.f64 (pow.f64 y 6) -1/405))) (fma.f64 -1/1701 (*.f64 z (pow.f64 y 8)) z))
(fma.f64 z (.f64 -1/1701 (pow.f64 y 8)) (fma.f64 z (fma.f64 (.f64 y y) -1/3 (*.f64 (pow.f64 y 6) -1/405)) z))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) -1)
(pow.f64 (cos.f64 y) 2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 y y))))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(+.f64 1/2 (.f64 1 (.f64 1/2 (cos.f64 (+.f64 y y)))))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(+.f64 1/2 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) 1))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1)
(pow.f64 (cos.f64 y) 2)
(*.f64 (cos.f64 y) (cos.f64 y))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 (cos.f64 y) 3)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (sqrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(pow.f64 (cos.f64 y) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 3)) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (pow.f64 (cos.f64 y) 3)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 2) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 2)
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 1/2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3/2))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6) (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6))
(cbrt.f64 (pow.f64 (cos.f64 y) 6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 2)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))))
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) 2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 1) 2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(/.f64 (-.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) (.f64 1/2 (cos.f64 (+.f64 y y))))) (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))
(/.f64 (-.f64 1/4 (.f64 1/4 (.f64 (cos.f64 (+.f64 y y)) (cos.f64 (+.f64 y y))))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y)))))
(/.f64 (+.f64 1/4 (.f64 (.f64 -1/4 (cos.f64 (+.f64 y y))) (cos.f64 (+.f64 y y)))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 y y)))))
(/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) -1/4) (cos.f64 (+.f64 y y)) 1/4) (fma.f64 -1/2 (cos.f64 (+.f64 y y)) 1/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1))
(pow.f64 (cos.f64 y) 2)
(/.f64 (+.f64 1/8 (pow.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) 3)) (+.f64 1/4 (-.f64 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) (.f64 1/2 (cos.f64 (+.f64 y y)))) (.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 y y)))))))
(/.f64 (+.f64 1/8 (.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3))) (+.f64 1/4 (.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) (-.f64 (.f64 1/2 (cos.f64 (+.f64 y y))) 1/2))))
(/.f64 (fma.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/8) (fma.f64 (*.f64 1/2 (cos.f64 (+.f64 y y))) (fma.f64 1/2 (cos.f64 (+.f64 y y)) -1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (cos.f64 (+.f64 y y)) 3) 1/8) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 (cos.f64 (+.f64 y y)) 1/4 -1/4) 1/4))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)) (log1p.f64 (pow.f64 (cos.f64 y) 2)))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (exp.f64 (*.f64 2 (log1p.f64 (pow.f64 (cos.f64 y) 2)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 (cos.f64 y) 2)))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2))) (pow.f64 (exp.f64 2) (log1p.f64 (pow.f64 (cos.f64 y) 2))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0))) -2)
(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(pow.f64 (cos.f64 y) 2)
(fabs.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 y) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 6))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6) (pow.f64 (pow.f64 (cos.f64 y) 6) 1/6))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) -1)
(*.f64 (cos.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 (cos.f64 y) z)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 1))
(*.f64 (cos.f64 y) z)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 (cos.f64 y) z)) (log1p.f64 (.f64 (cos.f64 y) z)))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) (exp.f64 (.f64 2 (log1p.f64 (.f64 (cos.f64 y) z)))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 (cos.f64 y) z)))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 y) z))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (cos.f64 y) z))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cos.f64 y) z)
(fabs.f64 (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(+.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) -1)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1))
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))
(pow.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (cos.f64 y))) 2)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) 3)
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)) 1/3)
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (cos.f64 y))) 4))
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (cos.f64 y)) 2/3)))
(*.f64 z (pow.f64 (exp.f64 2/3) (log.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))

localize3.0ms (0.1%)

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

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
✓	0.3b	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.6b	(cbrt.f64 z)

Compiler

Compiled 53 to 22 computations (58.5% saved)

series8.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
2.0ms	y	@	inf	(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
1.0ms	z	@	-inf	(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
1.0ms	y	@	0	(*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2))
0.0ms	z	@	-inf	(pow.f64 (cbrt.f64 z) 2)

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`add-sqr-sqrt`
1880×	`*-un-lft-identity`
1742×	`add-cube-cbrt`
1714×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	218	48
2	2496	48

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-+r+`
1312×	`associate-+l+`
1204×	`associate-/r*`
1084×	`unswap-sqr`
656×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1621
1	377	1595
2	1455	1541
3	5168	1541

Stop Event

1×	node limit

Counts

103 → 109

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

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

eval101.0ms (1.7%)

Compiler: Compiled 7149 to 3247 computations (54.6% saved)

prune135.0ms (2.2%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	345	2	347
Fresh	1	6	7
Picked	1	0	1
Done	0	10	10
Total	347	18	365

Error

Counts

365 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	42.5b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (sin.f64 y) z) 3)) (+.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 y) z) (-.f64 (+.f64 (sin.f64 y) z) x))))
	0.5b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y))))
	16.4b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 (cos.f64 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))
✓	0.1b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))))
✓	0.2b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
✓	15.1b	(+.f64 (+.f64 x (sin.f64 y)) (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
	19.5b	(+.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3))
✓	19.2b	(+.f64 (+.f64 x y) (*.f64 z (cos.f64 y)))
✓	25.3b	(+.f64 (sin.f64 y) x)
✓	37.3b	(+.f64 z (sin.f64 y))
✓	45.4b	(+.f64 z y)
✓	20.1b	(+.f64 z x)
	39.0b	(+.f64 y x)
	52.5b	(sin.f64 y)
✓	54.3b	(fabs.f64 z)
	47.1b	z
	35.7b	x

Compiler

Compiled 208 to 136 computations (34.6% saved)

regimes67.0ms (1.1%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	z
12.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
12.0ms	x
11.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 226 to 89 computations (60.6% saved)

regimes81.0ms (1.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	z
21.0ms	y
9.0ms	x

Results

Error	Segments	Branch
9.7b	1	`x`
8.6b	3	`y`
5.7b	3	`z`

Compiler

Compiled 64 to 29 computations (54.7% saved)

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	7.661932670995761e+67	9.96934365461238e+68
25.0ms	-4.108177722385215e+66	-7.640104240669336e+64

Results

26.0ms	161×	body	256	valid
9.0ms	21×	body	1024	valid
7.0ms	26×	body	512	valid

Compiler

Compiled 304 to 208 computations (31.6% saved)

regimes39.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	x
8.0ms	z
6.0ms	y

Results

Error	Segments	Branch
9.7b	1	`x`
9.7b	1	`y`
9.7b	1	`z`

Compiler

Compiled 49 to 23 computations (53.1% saved)

regimes54.0ms (0.9%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
17.0ms	z
17.0ms	y

Results

Error	Segments	Branch
12.5b	3	`x`
10.8b	3	`y`
10.8b	3	`z`

Compiler

Compiled 43 to 21 computations (51.2% saved)

bsearch50.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.4251699221628055e-11	0.00013504822566335706
25.0ms	-2.1785566536839486e+30	-1.1874503421064506e+23

Results

47.0ms

288×

body

256

valid

Compiler

Compiled 324 to 229 computations (29.3% saved)

regimes123.0ms (2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	z
46.0ms	y
17.0ms	x

Results

Error	Segments	Branch
12.5b	3	`x`
16.5b	4	`y`
17.1b	5	`z`

Compiler

Compiled 39 to 20 computations (48.7% saved)

bsearch73.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	2.0037932456112742e-22	8.064809439452015e-17
39.0ms	-128.96289010178904	-1.7811826839752565e-6

Results

29.0ms	66×	body	1024	valid
28.0ms	176×	body	256	valid
14.0ms	46×	body	512	valid

Compiler

Compiled 288 to 211 computations (26.7% saved)

regimes71.0ms (1.2%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	x
20.0ms	y
17.0ms	z

Results

Error	Segments	Branch
16.6b	6	`x`
16.6b	4	`y`
18.3b	3	`z`

Compiler

Compiled 35 to 19 computations (45.7% saved)

bsearch157.0ms (2.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
36.0ms	2.049905819901334e-75	4.645788787141811e-72
11.0ms	-3.2284400105069572e-261	-2.555811215524666e-261
43.0ms	-9.299807018796215e-228	-1.7437777406692252e-237
28.0ms	-9.403964090943834e-169	-1.6255810389878946e-169
39.0ms	-8.345136602665238e-134	-4.786623642873225e-139

Results

64.0ms	134×	body	1024	valid
58.0ms	358×	body	256	valid
23.0ms	84×	body	512	valid

Compiler

Compiled 548 to 400 computations (27% saved)

regimes35.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	y
14.0ms	x
5.0ms	z

Results

Error	Segments	Branch
18.1b	3	`x`
17.9b	3	`y`
20.1b	1	`z`

Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch48.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	7.463925699378605e+48	1.2252227805734328e+49
37.0ms	-29883450.700769912	-10278.879031484217

Results

46.0ms

192×

body

256

valid

Compiler

Compiled 210 to 145 computations (31% saved)

regimes53.0ms (0.9%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	x
4.0ms	z
4.0ms	y

Results

Error	Segments	Branch
18.6b	3	`x`
20.1b	1	`y`
20.1b	1	`z`

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch89.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	3.694443781271016e-164	2.6865647475753563e-162
63.0ms	-8.345136602665238e-134	-4.786623642873225e-139

Results

39.0ms	39×	body	512	valid
25.0ms	164×	body	256	valid
23.0ms	53×	body	1024	valid

Compiler

Compiled 242 to 173 computations (28.5% saved)

regimes34.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 z x)

Calls

3 calls:

25.0ms	z
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
20.1b	1	`x`
20.1b	1	`y`
20.1b	1	`z`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes64.0ms (1.1%)

Accuracy

Total -37.1b remaining (-146.3%)

Threshold costs -37.1b (-146.3%)

Counts

3 → 3

Calls

Call 1

Inputs
x
z
(+.f64 y x)

Outputs
x
z
x

Calls

3 calls:

35.0ms	x
19.0ms	y
9.0ms	z

Results

Error	Segments	Branch
25.4b	3	`x`
30.5b	6	`y`
28.9b	3	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch90.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	0.0035492674979621156	167482.33120515844
24.0ms	-1.282071523970379e-24	-1.9473204507356995e-25

Results

52.0ms	148×	body	256	valid
26.0ms	60×	body	1024	valid
9.0ms	32×	body	512	valid

Compiler

Compiled 168 to 133 computations (20.8% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
12×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	409
1	107	409

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -1459999999999999946360716788611050177746116194506813682246439927808) (+.f64 (+.f64 x y) (.f64 z (cos.f64 y))) (if (<=.f64 z 140000000000000000576303963002287552922503497661080676155429908119552) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 (+.f64 x y) (.f64 z (cos.f64 y)))))
(+.f64 (+.f64 x (sin.f64 y)) z)
(if (<=.f64 y -120000000000000000000000) (+.f64 (sin.f64 y) x) (if (<=.f64 y 4796153459164483/36893488147419103232) (+.f64 (+.f64 y z) x) (+.f64 (sin.f64 y) x)))
(if (<=.f64 x -1116892707587883/72057594037927936) (+.f64 z x) (if (<=.f64 x 872305872233851/20769187434139310514121985316880384) (+.f64 z (sin.f64 y)) (+.f64 z x)))
(if (<=.f64 x -8212282357089841/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) (+.f64 z x) (if (<=.f64 x -8158279569665543/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (sin.f64 y) (if (<=.f64 x -6781692447894871/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (+.f64 (+.f64 y z) x) (if (<=.f64 x -7090649168385425/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144) (sin.f64 y) (if (<=.f64 x 1671006074336883/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (+.f64 (+.f64 y z) x) (+.f64 z x))))))
(if (<=.f64 y -50000) (+.f64 z x) (if (<=.f64 y 7500000000000000572232738081891525247122372820992) (+.f64 (+.f64 y z) x) (+.f64 z x)))
(if (<=.f64 x -3888264299683353/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (+.f64 z x) (if (<=.f64 x 364703516796181/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (+.f64 z y) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 x -2450033041830757/2722258935367507707706996859454145691648) x (if (<=.f64 x 60000) z x))
x

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -1459999999999999946360716788611050177746116194506813682246439927808) (+.f64 (+.f64 x y) (.f64 z (cos.f64 y))) (if (<=.f64 z 140000000000000000576303963002287552922503497661080676155429908119552) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 (+.f64 x y) (.f64 z (cos.f64 y)))))
(if (or (<=.f64 z -1459999999999999946360716788611050177746116194506813682246439927808) (not (<=.f64 z 140000000000000000576303963002287552922503497661080676155429908119552))) (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x y)) (+.f64 (+.f64 x (sin.f64 y)) z))
(+.f64 (+.f64 x (sin.f64 y)) z)
(if (<=.f64 y -120000000000000000000000) (+.f64 (sin.f64 y) x) (if (<=.f64 y 4796153459164483/36893488147419103232) (+.f64 (+.f64 y z) x) (+.f64 (sin.f64 y) x)))
(if (or (<=.f64 y -120000000000000000000000) (not (<=.f64 y 4796153459164483/36893488147419103232))) (+.f64 x (sin.f64 y)) (+.f64 x (+.f64 y z)))
(if (<=.f64 x -1116892707587883/72057594037927936) (+.f64 z x) (if (<=.f64 x 872305872233851/20769187434139310514121985316880384) (+.f64 z (sin.f64 y)) (+.f64 z x)))
(if (<=.f64 x -1116892707587883/72057594037927936) (+.f64 x z) (if (<=.f64 x 872305872233851/20769187434139310514121985316880384) (+.f64 (sin.f64 y) z) (+.f64 x z)))
(if (<=.f64 x -8212282357089841/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) (+.f64 z x) (if (<=.f64 x -8158279569665543/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (sin.f64 y) (if (<=.f64 x -6781692447894871/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (+.f64 (+.f64 y z) x) (if (<=.f64 x -7090649168385425/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144) (sin.f64 y) (if (<=.f64 x 1671006074336883/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (+.f64 (+.f64 y z) x) (+.f64 z x))))))
(if (<=.f64 x -8212282357089841/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) (+.f64 x z) (if (<=.f64 x -8158279569665543/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (sin.f64 y) (if (<=.f64 x -6781692447894871/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (+.f64 x (+.f64 y z)) (if (<=.f64 x -7090649168385425/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144) (sin.f64 y) (if (<=.f64 x 1671006074336883/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (+.f64 x (+.f64 y z)) (+.f64 x z))))))
(if (<=.f64 y -50000) (+.f64 z x) (if (<=.f64 y 7500000000000000572232738081891525247122372820992) (+.f64 (+.f64 y z) x) (+.f64 z x)))
(if (<=.f64 y -50000) (+.f64 x z) (if (<=.f64 y 7500000000000000572232738081891525247122372820992) (+.f64 x (+.f64 y z)) (+.f64 x z)))
(if (<=.f64 x -3888264299683353/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (+.f64 z x) (if (<=.f64 x 364703516796181/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (+.f64 z y) (+.f64 z x)))
(if (<=.f64 x -3888264299683353/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (+.f64 x z) (if (<=.f64 x 364703516796181/2026130648867672343023636652192949780767796011837127392576004555513014068072709055859231957493703024554784124321924213467966382361040905912054138102594708831572842677442143322112) (+.f64 y z) (+.f64 x z)))
(+.f64 z x)
(+.f64 x z)
(if (<=.f64 x -2450033041830757/2722258935367507707706996859454145691648) x (if (<=.f64 x 60000) z x))
x

Compiler

Compiled 198 to 118 computations (40.4% saved)

soundness0.0ms (0%)

end120.0ms (2%)

Compiler: Compiled 168 to 68 computations (59.5% saved)

Details

analyze219.0ms (3.6%)

sample2.3s (37.9%)

preprocess15.0ms (0.3%)

simplify11.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series3.0ms (0%)

rewrite64.0ms (1.1%)

simplify57.0ms (1%)

eval12.0ms (0.2%)

prune10.0ms (0.2%)

localize8.0ms (0.1%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite68.0ms (1.1%)

simplify84.0ms (1.4%)

localize16.0ms (0.3%)

series12.0ms (0.2%)

rewrite58.0ms (1%)

simplify73.0ms (1.2%)

eval109.0ms (1.8%)

prune73.0ms (1.2%)

localize20.0ms (0.3%)

series19.0ms (0.3%)

rewrite67.0ms (1.1%)

simplify76.0ms (1.3%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite52.0ms (0.9%)

simplify54.0ms (0.9%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite70.0ms (1.2%)

simplify80.0ms (1.3%)

localize16.0ms (0.3%)

series3.0ms (0%)

rewrite58.0ms (1%)

simplify99.0ms (1.6%)

eval163.0ms (2.7%)

prune125.0ms (2.1%)

localize29.0ms (0.5%)

series7.0ms (0.1%)

rewrite72.0ms (1.2%)

simplify82.0ms (1.4%)

localize3.0ms (0.1%)

localize3.0ms (0%)

localize8.0ms (0.1%)

localize21.0ms (0.3%)

series8.0ms (0.1%)

rewrite72.0ms (1.2%)

simplify63.0ms (1%)

eval101.0ms (1.7%)

prune135.0ms (2.2%)

regimes67.0ms (1.1%)

regimes81.0ms (1.3%)

bsearch45.0ms (0.7%)

regimes39.0ms (0.6%)

regimes54.0ms (0.9%)

bsearch50.0ms (0.8%)

regimes123.0ms (2%)

bsearch73.0ms (1.2%)

regimes71.0ms (1.2%)

bsearch157.0ms (2.6%)

regimes35.0ms (0.6%)

bsearch48.0ms (0.8%)

regimes53.0ms (0.9%)

bsearch89.0ms (1.5%)

regimes34.0ms (0.6%)

regimes64.0ms (1.1%)

bsearch90.0ms (1.5%)

simplify12.0ms (0.2%)

soundness0.0ms (0%)

end120.0ms (2%)

Profiling