Metrics for Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, B

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation ival-cos, time spent: 0.0ms, 0.0% of total-time

Operation ival-sin, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample2.0s (27.2%)

Results

1.8s	8254×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 807.0ms

Operation ival-sin, time spent: 278.0ms, 34.0% of total-time

Operation ival-cos, time spent: 273.0ms, 34.0% of total-time

Operation ival-mult, time spent: 149.0ms, 18.0% of total-time

Operation ival-add, time spent: 97.0ms, 12.0% of total-time

Operation const, time spent: 10.0ms, 1.0% of total-time

Bogosity

preprocess351.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1442×	`fma-def`
164×	`unsub-neg`
158×	`associate-r`
134×	`distribute-lft-neg-in`
108×	`distribute-rgt-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x (sin.f64 y))`
-	-	`(cos.f64 y)`
-	-	`z`
-	-	`(sin.f64 y)`
-	-	`y`
-	-	`(*.f64 z (cos.f64 y))`
-	-	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	409
1	97	409
2	180	409
3	400	409
4	679	409
5	1003	409
6	1372	409
7	1505	409
8	1657	409
9	1811	409
10	1872	409
11	1884	409
12	1891	409

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

Operation ival-sin, time spent: 63.0ms, 71.0% of total-time

Operation ival-cos, time spent: 13.0ms, 15.0% of total-time

Operation ival-mult, time spent: 9.0ms, 10.0% of total-time

Operation ival-add, time spent: 3.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize55.0ms (0.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	99.8%	(*.f64 x (sin.f64 y))
✓	99.8%	(*.f64 z (cos.f64 y))

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

Operation ival-cos, time spent: 10.0ms, 42.0% of total-time

Operation ival-sin, time spent: 8.0ms, 34.0% of total-time

Operation ival-mult, time spent: 4.0ms, 17.0% of total-time

Operation ival-add, time spent: 1.0ms, 4.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series53.0ms (0.7%)

Counts

3 → 18

Calls

21 calls:

Time	Variable		Point	Expression
45.0ms	y	@	-inf	(*.f64 z (cos.f64 y))
1.0ms	z	@	0	(*.f64 z (cos.f64 y))
1.0ms	x	@	0	(*.f64 x (sin.f64 y))
1.0ms	x	@	-inf	(*.f64 x (sin.f64 y))
1.0ms	y	@	0	(*.f64 z (cos.f64 y))

rewrite287.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`log-prod`
825×	`log1p-expm1-u`
825×	`expm1-log1p-u`
712×	`fma-def`
676×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	176	69
2	2240	69

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

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

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1048×	`unswap-sqr`
948×	`cancel-sign-sub-inv`
800×	`difference-of-squares`
690×	`fma-neg`
484×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	314	5193
1	730	5091
2	2652	5091

Stop Event

1×	node limit

Counts

135 → 160

Calls

Call 1

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

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

eval80.0ms (1.1%)

Compiler: Compiled 2607 to 886 computations (66% saved)

prune41.0ms (0.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	141	19	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	20	161

Accuracy

100.0%

Counts

161 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
	98.6%	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
	99.0%	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
	48.6%	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
	48.6%	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	99.4%	(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
▶	76.0%	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	48.2%	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
▶	99.0%	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	47.4%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	98.7%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	59.2%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	75.2%	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	71.9%	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
▶	46.4%	(+.f64 z (*.f64 y x))
	58.2%	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
	56.9%	(*.f64 z (cos.f64 y))
	43.9%	(*.f64 x (sin.f64 y))

Compiler

Compiled 570 to 366 computations (35.8% saved)

localize195.0ms (2.6%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(*.f64 z (sqrt.f64 (cos.f64 y)))
	99.9%	(*.f64 x (sin.f64 y))
✓	99.9%	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
✓	99.9%	(sqrt.f64 (cos.f64 y))
	99.9%	(*.f64 x (sin.f64 y))
	99.9%	(*.f64 z (cos.f64 y))
✓	99.3%	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
✓	88.6%	(cbrt.f64 (*.f64 x (sin.f64 y)))
	99.9%	(*.f64 x (sin.f64 y))
	99.9%	(*.f64 z (cos.f64 y))
✓	99.7%	(pow.f64 (*.f64 x (sin.f64 y)) 3)
✓	61.0%	(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
✓	99.9%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	99.9%	(*.f64 x (sin.f64 y))

Compiler

Compiled 147 to 31 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

Operation ival-sin, time spent: 21.0ms, 27.0% of total-time

Operation ival-pow, time spent: 21.0ms, 27.0% of total-time

Operation ival-mult, time spent: 8.0ms, 10.0% of total-time

Operation ival-cos, time spent: 8.0ms, 10.0% of total-time

Operation ival-fma, time spent: 7.0ms, 9.0% of total-time

Operation ival-cbrt, time spent: 6.0ms, 8.0% of total-time

Operation ival-add, time spent: 4.0ms, 5.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 4.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

series34.0ms (0.5%)

Counts

8 → 144

Calls

51 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
2.0ms	y	@	inf	(cbrt.f64 (*.f64 x (sin.f64 y)))
2.0ms	y	@	-inf	(cbrt.f64 (*.f64 x (sin.f64 y)))

rewrite179.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`prod-diff`
929×	`log1p-expm1-u`
929×	`expm1-log1p-u`
368×	`expm1-udef`
368×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	181
1	289	181
2	2996	181

Stop Event

1×	node limit

Counts

8 → 219

Calls

Call 1

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

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

simplify148.0ms (2%)

Algorithm

1×	egg-herbie

Rules

820×	`log-prod`
814×	`cube-prod`
804×	`associate-r`
750×	`exp-prod`
728×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	10207
1	959	10062
2	3775	10054

Stop Event

1×	node limit

Counts

363 → 240

Calls

Call 1

Inputs
z
(+.f64 z (*.f64 x y))
(+.f64 z (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (*.f64 x y)))
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(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (sin.f64 y))))) 1)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 x (sin.f64 y))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/6) (pow.f64 (*.f64 x (sin.f64 y)) 1/6))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (sin.f64 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1/3))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/9)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (sin.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sin.f64 y)) 1)
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 1 (.f64 x (sin.f64 y)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/6) (.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2) 3) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 1/6) 3))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) 1) (cbrt.f64 (.f64 x (sin.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (pow.f64 (.f64 x (sin.f64 y)) 1/6)) (pow.f64 (*.f64 x (sin.f64 y)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x (sin.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 (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 (pow.f64 (cos.f64 y) 1/4) (pow.f64 (cos.f64 y) 1/4))
(*.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))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/2)
(pow.f64 (sqrt.f64 (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 1/4) 2)
(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))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(+.f64 (.f64 (.f64 (cos.f64 y) z) 1) (*.f64 x (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) 1)
(.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) 1)
(.f64 1 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))))
(.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (fma.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) z) (.f64 (cos.f64 y) z)) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))))
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 y)) x) (exp.f64 (.f64 (cos.f64 y) z))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))) (exp.f64 (*.f64 (cos.f64 y) z))))
(log.f64 (.f64 (exp.f64 (.f64 (cos.f64 y) z)) (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.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 (cbrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (cos.f64 y)))) 2)
(sqrt.f64 (*.f64 (cos.f64 y) (pow.f64 z 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) z))
(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))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 z 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)))))

Outputs
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (*.f64 x y)))
(+.f64 z (fma.f64 -1/2 (.f64 z (pow.f64 y 2)) (.f64 x y)))
(+.f64 z (fma.f64 x y (.f64 z (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (fma.f64 x y z) (.f64 z (.f64 -1/2 (pow.f64 y 2))))
(+.f64 z (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (*.f64 x y))))
(+.f64 z (fma.f64 -1/2 (.f64 z (pow.f64 y 2)) (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (*.f64 x y))))
(+.f64 z (fma.f64 -1/2 (.f64 z (pow.f64 y 2)) (fma.f64 x y (.f64 x (*.f64 (pow.f64 y 3) -1/6)))))
(+.f64 (fma.f64 -1/2 (.f64 z (pow.f64 y 2)) (.f64 (pow.f64 y 3) (*.f64 x -1/6))) (fma.f64 x y z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(.f64 -1 (.f64 x (*.f64 (cbrt.f64 -1) (sin.f64 y))))
(neg.f64 (.f64 x (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 x (neg.f64 (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (cbrt.f64 -1) (sin.f64 y))))
(neg.f64 (.f64 x (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 x (neg.f64 (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (cbrt.f64 -1) (sin.f64 y))))
(neg.f64 (.f64 x (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 x (neg.f64 (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 -1 (.f64 x (*.f64 (cbrt.f64 -1) (sin.f64 y))))
(neg.f64 (.f64 x (.f64 (sin.f64 y) (cbrt.f64 -1))))
(.f64 x (neg.f64 (.f64 (sin.f64 y) (cbrt.f64 -1))))
(*.f64 x y)
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(fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (.f64 x y))
(fma.f64 x y (.f64 x (.f64 (pow.f64 y 3) -1/6)))
(fma.f64 x y (.f64 (pow.f64 y 3) (.f64 x -1/6)))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 x (pow.f64 y 5))) (*.f64 x y)))
(fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (fma.f64 1/120 (.f64 x (pow.f64 y 5)) (*.f64 x y)))
(fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (fma.f64 x y (.f64 (pow.f64 y 5) (*.f64 x 1/120))))
(fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (fma.f64 x y (.f64 x (*.f64 (pow.f64 y 5) 1/120))))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1/5040 (.f64 x (pow.f64 y 7))) (+.f64 (.f64 1/120 (.f64 x (pow.f64 y 5))) (*.f64 x y))))
(fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x y))))
(fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (fma.f64 x y (.f64 (pow.f64 y 5) (.f64 x 1/120)))))
(fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (fma.f64 x y (.f64 x (.f64 (pow.f64 y 5) 1/120)))))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
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(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
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(pow.f64 (*.f64 x (sin.f64 y)) 3)
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(pow.f64 (*.f64 x (sin.f64 y)) 3)
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(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 y 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
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(fma.f64 (pow.f64 x 3) (pow.f64 y 3) (.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2)))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 y 5) (.f64 -1/2 (pow.f64 x 3))))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (.f64 (pow.f64 y 5) (pow.f64 x 3)) -1/2))
(+.f64 (.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3)))) (.f64 (pow.f64 y 7) (+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 x (+.f64 (.f64 1/60 (pow.f64 x 2)) (.f64 1/36 (pow.f64 x 2)))))))))
(fma.f64 (pow.f64 x 3) (pow.f64 y 3) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (.f64 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/18 (pow.f64 x 3) (.f64 x (.f64 (pow.f64 x 2) 2/45)))))))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (fma.f64 (pow.f64 y 5) (.f64 -1/2 (pow.f64 x 3)) (.f64 (pow.f64 y 7) (+.f64 (.f64 (pow.f64 x 3) 2/45) (.f64 (pow.f64 x 3) 23/360)))))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (fma.f64 (pow.f64 y 7) (+.f64 (.f64 (pow.f64 x 3) 2/45) (.f64 (pow.f64 x 3) 23/360)) (.f64 (.f64 (pow.f64 y 5) (pow.f64 x 3)) -1/2)))
(+.f64 (.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 1/120 (pow.f64 x 3)) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 x (+.f64 (.f64 1/60 (pow.f64 x 2)) (.f64 1/36 (pow.f64 x 2))))))) (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 x (+.f64 (.f64 1/60 (pow.f64 x 2)) (.f64 1/36 (pow.f64 x 2))))) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 3)) (.f64 x (+.f64 (.f64 -1/360 (pow.f64 x 2)) (.f64 -1/2520 (pow.f64 x 2)))))))))))
(fma.f64 (pow.f64 x 3) (pow.f64 y 3) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (fma.f64 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/18 (pow.f64 x 3) (.f64 x (.f64 (pow.f64 x 2) 2/45)))) (.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 x (.f64 (pow.f64 x 2) 2/45)) (fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 3) (.f64 x (.f64 (pow.f64 x 2) -1/315)))))))))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (fma.f64 (pow.f64 y 5) (.f64 -1/2 (pow.f64 x 3)) (fma.f64 (pow.f64 y 7) (+.f64 (.f64 (pow.f64 x 3) 2/45) (.f64 (pow.f64 x 3) 23/360)) (.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (+.f64 (.f64 (pow.f64 x 3) -1/315) (*.f64 (pow.f64 x 3) -1/336)))))))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (fma.f64 (pow.f64 y 5) (.f64 -1/2 (pow.f64 x 3)) (fma.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (+.f64 (.f64 (pow.f64 x 3) -1/315) (.f64 (pow.f64 x 3) -1/336))) (.f64 (pow.f64 y 7) (+.f64 (.f64 (pow.f64 x 3) 2/45) (*.f64 (pow.f64 x 3) 23/360))))))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 (*.f64 x (sin.f64 y)) 3)
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (*.f64 x (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 x (sin.f64 y)))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) -1/4))
(fma.f64 (pow.f64 y 2) -1/4 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 -1/96 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 y 2) (*.f64 -1/96 (pow.f64 y 4))))
(+.f64 1 (fma.f64 (pow.f64 y 2) -1/4 (*.f64 -1/96 (pow.f64 y 4))))
(+.f64 (fma.f64 (pow.f64 y 2) -1/4 1) (*.f64 -1/96 (pow.f64 y 4)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 y 2)) (+.f64 (.f64 -1/96 (pow.f64 y 4)) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/4 (pow.f64 y 2) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 (pow.f64 y 2) -1/4 (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6)))))
(+.f64 (fma.f64 (pow.f64 y 2) -1/4 1) (fma.f64 -1/96 (pow.f64 y 4) (*.f64 -19/5760 (pow.f64 y 6))))
(*.f64 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (*.f64 x y)))
(+.f64 z (fma.f64 -1/2 (.f64 z (pow.f64 y 2)) (.f64 x y)))
(+.f64 z (fma.f64 x y (.f64 z (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (fma.f64 x y z) (.f64 z (.f64 -1/2 (pow.f64 y 2))))
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(+.f64 z (fma.f64 -1/2 (.f64 z (pow.f64 y 2)) (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (*.f64 x y))))
(+.f64 z (fma.f64 -1/2 (.f64 z (pow.f64 y 2)) (fma.f64 x y (.f64 x (*.f64 (pow.f64 y 3) -1/6)))))
(+.f64 (fma.f64 -1/2 (.f64 z (pow.f64 y 2)) (.f64 (pow.f64 y 3) (*.f64 x -1/6))) (fma.f64 x y z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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(*.f64 z (cos.f64 y))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(+.f64 z (.f64 -1/4 (.f64 (pow.f64 y 2) z)))
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(*.f64 (fma.f64 (pow.f64 y 2) -1/4 1) z)
(+.f64 z (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) z)) (.f64 -1/96 (.f64 (pow.f64 y 4) z))))
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(+.f64 z (.f64 z (fma.f64 (pow.f64 y 2) -1/4 (.f64 -1/96 (pow.f64 y 4)))))
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(+.f64 z (fma.f64 -1/4 (.f64 z (pow.f64 y 2)) (fma.f64 -1/96 (.f64 z (pow.f64 y 4)) (.f64 -19/5760 (.f64 z (pow.f64 y 6))))))
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(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+.f64 (.f64 (.f64 (cos.f64 y) z) 1) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))))) 1)
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) 1)
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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eval314.0ms (4.2%)

Compiler: Compiled 17838 to 7090 computations (60.3% saved)

prune108.0ms (1.5%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	964	10	974
Fresh	4	10	14
Picked	2	3	5
Done	0	1	1
Total	970	24	994

Accuracy

100.0%

Counts

994 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
	48.6%	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
▶	99.4%	(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	52.1%	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
✓	76.0%	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	76.0%	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (.f64 x (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	58.3%	(/.f64 (-.f64 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (cos.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
	74.4%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	99.0%	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (.f64 z (cos.f64 y)))
	99.0%	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	48.6%	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
▶	48.2%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
▶	47.4%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	98.7%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	59.2%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	75.2%	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	50.1%	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
✓	46.4%	(+.f64 z (*.f64 y x))
	58.2%	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
	56.9%	(*.f64 z (cos.f64 y))
	43.9%	(*.f64 x (sin.f64 y))
▶	34.5%	z

Compiler

Compiled 663 to 423 computations (36.2% saved)

localize190.0ms (2.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (sin.f64 y))
✓	99.9%	(*.f64 x (sqrt.f64 (sin.f64 y)))
	99.9%	(*.f64 z (cos.f64 y))
✓	99.9%	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
	100.0%	(*.f64 x (sin.f64 y))
✓	100.0%	(sqrt.f64 (*.f64 z (cos.f64 y)))
	99.9%	(*.f64 z (cos.f64 y))
✓	99.8%	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
	100.0%	(*.f64 x (sin.f64 y))
	99.9%	(pow.f64 (*.f64 x (sin.f64 y)) 3)
	87.9%	(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
	100.0%	(*.f64 x (sin.f64 y))
✓	100.0%	(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
✓	99.9%	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓	99.9%	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 161 to 40 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

Operation ival-pow, time spent: 25.0ms, 34.0% of total-time

Operation ival-mult, time spent: 10.0ms, 14.0% of total-time

Operation ival-cos, time spent: 8.0ms, 11.0% of total-time

Operation ival-sin, time spent: 7.0ms, 10.0% of total-time

Operation ival-cbrt, time spent: 7.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 8.0% of total-time

Operation ival-add, time spent: 5.0ms, 7.0% of total-time

Operation ival-fma, time spent: 3.0ms, 4.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

series43.0ms (0.6%)

Counts

8 → 100

Calls

42 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	(*.f64 x (sqrt.f64 (sin.f64 y)))
5.0ms	y	@	0	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
3.0ms	z	@	inf	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
3.0ms	y	@	inf	(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
3.0ms	y	@	-inf	(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))

rewrite147.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`prod-diff`
673×	`log1p-expm1-u`
673×	`expm1-log1p-u`
452×	`expm1-udef`
452×	`log1p-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	180
1	327	157
2	3294	153

Stop Event

1×	node limit

Counts

8 → 184

Calls

Call 1

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

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

simplify132.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

806×	`associate-r`
772×	`associate-l`
730×	`log-prod`
594×	`cancel-sign-sub-inv`
518×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	7755
1	1031	7560
2	3939	7514

Stop Event

1×	node limit

Counts

284 → 278

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 -1/72 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (*.f64 -23/6480 (pow.f64 y 6)))))
(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 -1/3 (pow.f64 y 2)) (+.f64 (.f64 -1/405 (pow.f64 y 6)) (*.f64 -1/1701 (pow.f64 y 8)))))
(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 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.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 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.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 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (+.f64 (.f64 x y) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 z) (.f64 -1/6 z)))))
(+.f64 z (+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (+.f64 (.f64 x y) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 z) (.f64 -1/6 z))))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.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 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(*.f64 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(*.f64 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
z
(+.f64 z (.f64 -1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 z) (.f64 1/16 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)))))
(+.f64 z (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 z) (.f64 1/16 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2))) (sqrt.f64 (/.f64 1 z))))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) (sqrt.f64 (/.f64 1 z)))) (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (.f64 -1/4 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))))))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x y)
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (*.f64 x y))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (+.f64 (.f64 1/120 (.f64 x (pow.f64 y 5))) (*.f64 x y)))
(+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1/5040 (.f64 x (pow.f64 y 7))) (+.f64 (.f64 1/120 (.f64 x (pow.f64 y 5))) (*.f64 x y))))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(-.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 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.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))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.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)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 y) 2))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1)
(.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1)
(.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 3) (pow.f64 (.f64 x (sin.f64 y)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(*.f64 (cos.f64 y) z)
(.f64 (cbrt.f64 (cos.f64 y)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 z (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) z) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 1 (.f64 (cos.f64 y) z))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)) 2) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)) (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) (.f64 (.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (.f64 (cos.f64 y) z) 1/4)) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) (pow.f64 (cos.f64 y) 1/6)) (.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) (pow.f64 (cos.f64 y) 1/6)))
(.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z) (pow.f64 (cos.f64 y) 1/6)) (pow.f64 (cos.f64 y) 1/6))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(.f64 (.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))
(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))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z) 3) (cos.f64 y)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 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))
(exp.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)) (log.f64 (cbrt.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))) 1)
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) 1)
(.f64 1 (sqrt.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (pow.f64 (*.f64 (cos.f64 y) z) 1/4))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 y) z))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (.f64 x (sqrt.f64 (sin.f64 y))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (sqrt.f64 (sin.f64 y))) 3) (pow.f64 (sin.f64 y) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (sin.f64 y))))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))) 2)
(sqrt.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (sin.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 (sin.f64 y)) 1)
(*.f64 1 (sqrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 y))))
(pow.f64 (sin.f64 y) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 y))) 3)
(pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)
(fabs.f64 (sqrt.f64 (sin.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (sin.f64 y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (pow.f64 y 2) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 -1/72 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (pow.f64 y 2) (*.f64 -1/72 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 2) 1) (*.f64 -1/72 (pow.f64 y 4)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (*.f64 -23/6480 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/6 (pow.f64 y 2) (fma.f64 -1/72 (pow.f64 y 4) (*.f64 -23/6480 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 2) 1) (fma.f64 -1/72 (pow.f64 y 4) (*.f64 -23/6480 (pow.f64 y 6))))
(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 (pow.f64 y 2) -1/3))
(fma.f64 (pow.f64 y 2) -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 (pow.f64 y 2) (*.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (pow.f64 y 2) -1/3 (*.f64 (pow.f64 y 6) -1/405)))
(+.f64 (fma.f64 (pow.f64 y 2) -1/3 1) (*.f64 (pow.f64 y 6) -1/405))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (+.f64 (.f64 -1/405 (pow.f64 y 6)) (*.f64 -1/1701 (pow.f64 y 8)))))
(+.f64 1 (fma.f64 -1/3 (pow.f64 y 2) (fma.f64 -1/405 (pow.f64 y 6) (*.f64 -1/1701 (pow.f64 y 8)))))
(+.f64 1 (fma.f64 (pow.f64 y 2) -1/3 (fma.f64 (pow.f64 y 6) -1/405 (*.f64 -1/1701 (pow.f64 y 8)))))
(+.f64 (fma.f64 (pow.f64 y 2) -1/3 1) (fma.f64 (pow.f64 y 6) -1/405 (*.f64 -1/1701 (pow.f64 y 8))))
(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 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(+.f64 z (+.f64 (.f64 x y) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 z) (.f64 -1/6 z)))))
(+.f64 z (fma.f64 x y (.f64 (pow.f64 y 2) (.f64 z -1/2))))
(+.f64 z (fma.f64 (pow.f64 y 2) (.f64 z -1/2) (.f64 y x)))
(+.f64 (.f64 y x) (fma.f64 -1/2 (.f64 (pow.f64 y 2) z) z))
(+.f64 z (+.f64 (.f64 -1/6 (.f64 x (pow.f64 y 3))) (+.f64 (.f64 x y) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 z) (.f64 -1/6 z))))))
(+.f64 z (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (fma.f64 x y (.f64 (pow.f64 y 2) (*.f64 z -1/2)))))
(+.f64 (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) (.f64 y x)) (fma.f64 (*.f64 (pow.f64 y 2) -1/2) z z))
(+.f64 (fma.f64 y x (.f64 x (.f64 (pow.f64 y 3) -1/6))) (fma.f64 -1/2 (*.f64 (pow.f64 y 2) z) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(*.f64 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(*.f64 x (sin.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 1 1/3) (*.f64 z (cos.f64 y))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
z
(+.f64 z (.f64 -1/2 (.f64 (pow.f64 y 2) z)))
(fma.f64 (*.f64 (pow.f64 y 2) -1/2) z z)
(fma.f64 -1/2 (*.f64 (pow.f64 y 2) z) z)
(+.f64 z (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/24 z) (.f64 1/16 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)))))
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(sqrt.f64 (sin.f64 y))

eval444.0ms (6%)

Compiler: Compiled 16695 to 7098 computations (57.5% saved)

prune137.0ms (1.9%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	873	17	890
Fresh	11	4	15
Picked	2	3	5
Done	1	3	4
Total	887	27	914

Accuracy

100.0%

Counts

914 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	52.1%	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	74.4%	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
▶	74.4%	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y)))) z)
	74.4%	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) z)
	34.5%	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
	47.3%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)) (*.f64 z (cos.f64 y)))
	38.0%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
	47.7%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2))) (*.f64 z (cos.f64 y)))
	75.2%	(+.f64 (*.f64 (sin.f64 y) x) z)
▶	24.9%	(+.f64 (.f64 y x) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	98.7%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	47.4%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (sqrt.f64 (.f64 (cos.f64 y) z)))))
	98.6%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
▶	48.6%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶	99.6%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z) (cbrt.f64 (cos.f64 y))))
	76.0%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
	99.6%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	59.2%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))
	59.2%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
✓	50.1%	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
✓	46.4%	(+.f64 z (*.f64 y x))
	56.9%	(*.f64 (cos.f64 y) z)
▶	43.9%	(*.f64 x (sin.f64 y))
✓	34.5%	z

Compiler

Compiled 717 to 471 computations (34.3% saved)

localize205.0ms (2.8%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 x (sin.f64 y))
✓	99.8%	(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
✓	99.7%	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)
	96.8%	(cbrt.f64 (*.f64 x (sin.f64 y)))
✓	100.0%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	100.0%	(*.f64 x (sin.f64 y))
✓	99.9%	(*.f64 (cos.f64 y) (sqrt.f64 z))
✓	99.7%	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
	100.0%	(sqrt.f64 (*.f64 z (cos.f64 y)))
	99.9%	(*.f64 z (cos.f64 y))
	99.7%	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
	100.0%	(*.f64 x (sin.f64 y))
✓	99.9%	(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z) (cbrt.f64 (cos.f64 y)))
✓	99.9%	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
✓	99.8%	(pow.f64 (cos.f64 y) 2)
	99.8%	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 195 to 53 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

Operation ival-mult, time spent: 24.0ms, 27.0% of total-time

Operation ival-pow, time spent: 22.0ms, 25.0% of total-time

Operation ival-sin, time spent: 12.0ms, 14.0% of total-time

Operation ival-cbrt, time spent: 10.0ms, 11.0% of total-time

Operation ival-cos, time spent: 6.0ms, 7.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 7.0% of total-time

Operation ival-add, time spent: 5.0ms, 6.0% of total-time

Operation const, time spent: 2.0ms, 2.0% of total-time

series21.0ms (0.3%)

Counts

8 → 144

Calls

45 calls:

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

rewrite175.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`fma-def`
848×	`log1p-expm1-u`
848×	`expm1-log1p-u`
524×	`expm1-udef`
524×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	220
1	365	166
2	4348	166

Stop Event

1×	node limit

Counts

8 → 212

Calls

Call 1

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

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

simplify162.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1210×	`cancel-sign-sub-inv`
758×	`difference-of-squares`
752×	`associate-r`
736×	`associate-l`
702×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	11409
1	1168	11245
2	4057	11211

Stop Event

1×	node limit

Counts

356 → 298

Calls

Call 1

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

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

eval294.0ms (4%)

Compiler: Compiled 20007 to 8167 computations (59.2% saved)

prune174.0ms (2.4%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1036	10	1046
Fresh	5	11	16
Picked	2	3	5
Done	2	4	6
Total	1045	28	1073

Accuracy

100.0%

Counts

1073 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	43.2%	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
✓	74.4%	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y)))) z)
	74.4%	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) z)
	34.5%	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
	47.3%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)) (*.f64 z (cos.f64 y)))
	38.0%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
	47.7%	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2))) (*.f64 z (cos.f64 y)))
	75.2%	(+.f64 (*.f64 (sin.f64 y) x) z)
✓	24.9%	(+.f64 (.f64 y x) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	57.5%	(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	25.6%	(+.f64 (.f64 y x) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	52.1%	(+.f64 (.f64 y x) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
	58.3%	(+.f64 (.f64 y x) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
	98.7%	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 3))
	98.6%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	76.0%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (pow.f64 (cos.f64 y) 2/3) z) (cbrt.f64 (cos.f64 y))))
	99.6%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y 2))) 2)) z) (cbrt.f64 (cos.f64 y))))
	76.0%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
	59.2%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))
	59.2%	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
✓	46.4%	(+.f64 z (*.f64 y x))
	56.9%	(*.f64 (cos.f64 y) z)
	16.2%	(*.f64 y x)
✓	43.9%	(*.f64 x (sin.f64 y))
	19.2%	(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
✓	34.5%	z

Compiler

Compiled 1096 to 466 computations (57.5% saved)

regimes110.0ms (1.5%)

Counts

57 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 z (*.f64 y x))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (*.f64 (sin.f64 y) x) z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
(+.f64 (.f64 y x) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
(+.f64 (.f64 y x) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 3))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) z)
(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (.f64 y x) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (pow.f64 (cos.f64 y) 2/3) z) (cbrt.f64 (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
(+.f64 (.f64 y x) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y)))) z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 y 2))) 2)) z) (cbrt.f64 (cos.f64 y))))
(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (*.f64 (cbrt.f64 (cos.f64 y)) z)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z) (cbrt.f64 (cos.f64 y))))
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (.f64 z (cos.f64 y)))
(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cos.f64 y) 3/2)) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/4) (sqrt.f64 (.f64 (cos.f64 y) z)))))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (cos.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))

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

Calls

4 calls:

28.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
27.0ms	x
26.0ms	y
26.0ms	z

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes67.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	y
19.0ms	x
17.0ms	z

Results

Accuracy	Segments	Branch
88.6%	3	`x`
80.9%	6	`y`
83.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes131.0ms (1.8%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

2 calls:

103.0ms	x
28.0ms	z

Results

Accuracy	Segments	Branch
76.7%	5	`z`
81.4%	5	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes61.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
22.0ms	z
16.0ms	x

Results

Accuracy	Segments	Branch
61.5%	5	`z`
72.7%	3	`y`
61.8%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes37.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
46.4%	1	`z`
46.4%	1	`x`
46.4%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes32.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

13.0ms	x
11.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
39.4%	3	`x`
36.8%	3	`y`
40.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

2 calls:

3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
34.5%	1	`x`
34.5%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.0235841686404006e-72	2.3226560712930967e-72
17.0ms	-1.0484910264934473e-138	-3.577964230894831e-139

Results

20.0ms	111×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 144 to 104 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-cos, time spent: 5.0ms, 44.0% of total-time

Operation ival-sin, time spent: 4.0ms, 35.0% of total-time

Operation ival-mult, time spent: 2.0ms, 18.0% of total-time

Operation ival-add, time spent: 1.0ms, 9.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch185.0ms (2.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.6881426882933377e+115	5.379787517942558e+129
18.0ms	-1.7454430281969292e-17	-1.9794851567561638e-18
79.0ms	-6.038537031113882e+49	-1.4741992401676391e+46
53.0ms	-1.3791569722998082e+70	-9.721428641259355e+58

Results

175.0ms	543×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 562 to 421 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

Operation ival-add, time spent: 60.0ms, 48.0% of total-time

Operation ival-cos, time spent: 39.0ms, 31.0% of total-time

Operation ival-sin, time spent: 17.0ms, 13.0% of total-time

Operation ival-mult, time spent: 9.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

bsearch43.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.000793299408638292	0.16413103235402005
21.0ms	-1079820890412.0721	-125480766214.53326

Results

39.0ms	207×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 239 to 169 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-sin, time spent: 6.0ms, 33.0% of total-time

Operation ival-cos, time spent: 5.0ms, 28.0% of total-time

Operation ival-mult, time spent: 5.0ms, 28.0% of total-time

Operation ival-add, time spent: 1.0ms, 6.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch59.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	6.585127279371437e-66	1.2993870726156924e-53
24.0ms	-4.612627778442269e-193	-1.0182345301357405e-193

Results

54.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 210 to 157 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

Operation ival-sin, time spent: 18.0ms, 54.0% of total-time

Operation ival-cos, time spent: 9.0ms, 27.0% of total-time

Operation ival-mult, time spent: 4.0ms, 12.0% of total-time

Operation ival-add, time spent: 1.0ms, 3.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`if-if-or-not`
8×	`not-or`
6×	`+-commutative`
6×	`not-not`
6×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	377
1	71	367
2	74	357
3	80	353
4	84	353
5	88	353
6	89	353
7	90	353

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -6033513568474169/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 130547349557569/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x -15000000000000000489340475072200691596146308664108304481703182729216) (.f64 x (sin.f64 y)) (if (<=.f64 x -639999999999999995609484183006093628650188439552) (.f64 z (cos.f64 y)) (if (<=.f64 x -2076918743413931/162259276829213363391578010288128) (.f64 x (sin.f64 y)) (if (<=.f64 x 17000000000000000264510074200936331412559423747658044367286099867324174279800846955504751628555806610495506774753280) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y -225000000000) (.f64 x (sin.f64 y)) (if (<=.f64 y 4842270319348757/1152921504606846976) (+.f64 z (.f64 y x)) (*.f64 x (sin.f64 y))))
(+.f64 z (*.f64 y x))
(if (<=.f64 z -770527719953375/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) z (if (<=.f64 z 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968) (*.f64 y x) z))
z

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -6033513568474169/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 130547349557569/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (or (<=.f64 x -6033513568474169/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048) (not (<=.f64 x 130547349557569/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632))) (+.f64 (.f64 x (sin.f64 y)) z) (.f64 z (cos.f64 y)))
(if (<=.f64 x -15000000000000000489340475072200691596146308664108304481703182729216) (.f64 x (sin.f64 y)) (if (<=.f64 x -639999999999999995609484183006093628650188439552) (.f64 z (cos.f64 y)) (if (<=.f64 x -2076918743413931/162259276829213363391578010288128) (.f64 x (sin.f64 y)) (if (<=.f64 x 17000000000000000264510074200936331412559423747658044367286099867324174279800846955504751628555806610495506774753280) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(if (<=.f64 x -15000000000000000489340475072200691596146308664108304481703182729216) (.f64 x (sin.f64 y)) (if (<=.f64 x -639999999999999995609484183006093628650188439552) (.f64 z (cos.f64 y)) (if (or (<=.f64 x -2076918743413931/162259276829213363391578010288128) (not (<=.f64 x 17000000000000000264510074200936331412559423747658044367286099867324174279800846955504751628555806610495506774753280))) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(if (<=.f64 x -15000000000000000489340475072200691596146308664108304481703182729216) (.f64 x (sin.f64 y)) (if (or (<=.f64 x -639999999999999995609484183006093628650188439552) (not (or (<=.f64 x -2076918743413931/162259276829213363391578010288128) (not (<=.f64 x 17000000000000000264510074200936331412559423747658044367286099867324174279800846955504751628555806610495506774753280))))) (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(if (or (<=.f64 x -15000000000000000489340475072200691596146308664108304481703182729216) (not (or (<=.f64 x -639999999999999995609484183006093628650188439552) (not (or (<=.f64 x -2076918743413931/162259276829213363391578010288128) (not (<=.f64 x 17000000000000000264510074200936331412559423747658044367286099867324174279800846955504751628555806610495506774753280))))))) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (or (<=.f64 x -15000000000000000489340475072200691596146308664108304481703182729216) (not (or (<=.f64 x -639999999999999995609484183006093628650188439552) (and (not (<=.f64 x -2076918743413931/162259276829213363391578010288128)) (<=.f64 x 17000000000000000264510074200936331412559423747658044367286099867324174279800846955504751628555806610495506774753280))))) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (or (<=.f64 x -15000000000000000489340475072200691596146308664108304481703182729216) (and (not (<=.f64 x -639999999999999995609484183006093628650188439552)) (or (<=.f64 x -2076918743413931/162259276829213363391578010288128) (not (<=.f64 x 17000000000000000264510074200936331412559423747658044367286099867324174279800846955504751628555806610495506774753280))))) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 y -225000000000) (.f64 x (sin.f64 y)) (if (<=.f64 y 4842270319348757/1152921504606846976) (+.f64 z (.f64 y x)) (*.f64 x (sin.f64 y))))
(if (or (<=.f64 y -225000000000) (not (<=.f64 y 4842270319348757/1152921504606846976))) (.f64 x (sin.f64 y)) (+.f64 z (.f64 x y)))
(+.f64 z (*.f64 y x))
(+.f64 z (*.f64 x y))
(if (<=.f64 z -770527719953375/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) z (if (<=.f64 z 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968) (*.f64 y x) z))
(if (<=.f64 z -770527719953375/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) z (if (<=.f64 z 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968) (*.f64 x y) z))
z

Compiler

Compiled 112 to 76 computations (32.1% saved)

soundness452.0ms (6.1%)

Rules

1048×	`unswap-sqr`
1048×	`unswap-sqr`
948×	`cancel-sign-sub-inv`
948×	`cancel-sign-sub-inv`
880×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	176	69
2	2240	69
0	314	5193
1	730	5091
2	2652	5091
0	314	5193
1	730	5091
2	2652	5091

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 60 to 24 computations (60% saved)

end0.0ms (0%)

preprocess111.0ms (1.5%)

Compiler: Compiled 212 to 106 computations (50% saved)

analyze0.0ms (0%)

sample2.0s (27.2%)

preprocess351.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize55.0ms (0.7%)

series53.0ms (0.7%)

rewrite287.0ms (3.9%)

simplify84.0ms (1.1%)

eval80.0ms (1.1%)

prune41.0ms (0.6%)

localize195.0ms (2.6%)

series34.0ms (0.5%)

rewrite179.0ms (2.4%)

simplify148.0ms (2%)

eval314.0ms (4.2%)

prune108.0ms (1.5%)

localize190.0ms (2.6%)

series43.0ms (0.6%)

rewrite147.0ms (2%)

simplify132.0ms (1.8%)

eval444.0ms (6%)

prune137.0ms (1.9%)

localize205.0ms (2.8%)

series21.0ms (0.3%)

rewrite175.0ms (2.4%)

simplify162.0ms (2.2%)

eval294.0ms (4%)

prune174.0ms (2.4%)

regimes110.0ms (1.5%)

regimes67.0ms (0.9%)

regimes131.0ms (1.8%)

regimes61.0ms (0.8%)

regimes37.0ms (0.5%)

regimes32.0ms (0.4%)

regimes5.0ms (0.1%)

bsearch23.0ms (0.3%)

bsearch185.0ms (2.5%)

bsearch43.0ms (0.6%)

bsearch59.0ms (0.8%)

simplify16.0ms (0.2%)

soundness452.0ms (6.1%)

end0.0ms (0%)

preprocess111.0ms (1.5%)

Profiling