Metrics for math.sin on complex, real part

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 15 to 12 computations (20% saved)

sample1.7s (28.8%)

Results

907.0ms	4152×	body	256	valid
762.0ms	4104×	body	256	infinite

Bogosity

preprocess188.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2266×	`fma-def`
1530×	`div-sub`
1052×	`times-frac`
898×	`distribute-lft-neg-in`
784×	`distribute-rgt-neg-in`

Problems

256×

No Errors

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	316
1	111	308
2	397	308
3	1003	298
4	2231	294
5	5114	294
6	7594	294

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (sin.f64 (neg.f64 re))) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(neg.f64 (.f64 (.f64 1/2 (sin.f64 (neg.f64 re))) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))))
(neg.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 (sin.f64 im)) (+.f64 (exp.f64 (-.f64 0 re)) (exp.f64 re)))

Outputs
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 (.f64 1/2 (sin.f64 (neg.f64 re))) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 1/2 (.f64 (neg.f64 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (sin.f64 re) -1/2))
(.f64 (sin.f64 re) (.f64 -1/2 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) -1/2 (/.f64 -1/2 (exp.f64 im))))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(neg.f64 (.f64 (.f64 1/2 (sin.f64 (neg.f64 re))) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(neg.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (neg.f64 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (sin.f64 re) -1/2))
(.f64 (sin.f64 re) (.f64 -1/2 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) -1/2 (/.f64 -1/2 (exp.f64 im))))
(.f64 (.f64 1/2 (sin.f64 im)) (+.f64 (exp.f64 (-.f64 0 re)) (exp.f64 re)))
(.f64 (.f64 1/2 (sin.f64 im)) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(.f64 (sin.f64 im) (.f64 1/2 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (sin.f64 im) (fma.f64 1/2 (exp.f64 re) (/.f64 1/2 (exp.f64 re))))

Symmetry

(abs im)

(negabs re)

Compiler

Compiled 55 to 36 computations (34.5% saved)

eval1.0ms (0%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	100.0%	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
▶	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	100.0%	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

Compiler

Compiled 52 to 38 computations (26.9% saved)

localize90.0ms (1.5%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	100.0%	(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
✓	100.0%	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
✓	100.0%	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 66 to 26 computations (60.6% saved)

series14.0ms (0.2%)

Counts

5 → 76

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	im	@	0	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	re	@	0	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
1.0ms	im	@	inf	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
1.0ms	im	@	0	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

rewrite142.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`associate-r`
166×	`associate-l`
120×	`add-exp-log`
120×	`add-log-exp`
120×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	270	126
2	4369	126

Stop Event

1×

unsound

Counts

5 → 64

Calls

Call 1

Inputs
(/.f64 1/2 (exp.f64 im))
(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Outputs
-1/2
-1/4
0
1/4
1/2
2
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))) -1)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(/.f64 (.f64 -1/2 (sin.f64 re)) (+.f64 (.f64 -1/2 (sin.f64 re)) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))))
(/.f64 (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))))
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 3)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 1/3)
(sqrt.f64 (*.f64 -1/2 (sin.f64 re)))
(fabs.f64 (*.f64 -1/2 (sin.f64 re)))
(log.f64 (pow.f64 -1 (sin.f64 re)))
(log.f64 (+.f64 -1 (expm1.f64 (*.f64 -1/2 (sin.f64 re)))))
(cbrt.f64 (*.f64 -1/2 (sin.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (sin.f64 re))) -1))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))) -1/2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (sin.f64 re))))
(fma.f64 -1 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(fma.f64 (.f64 -1/2 (sin.f64 re)) -1 (.f64 -1/2 (sin.f64 re)))
-1/2
-1/4
0
1/4
1/2
2
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))) -1)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(/.f64 (.f64 -1/2 (sin.f64 re)) (+.f64 (.f64 -1/2 (sin.f64 re)) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))))
(/.f64 (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))))
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 3)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 1/3)
(sqrt.f64 (*.f64 -1/2 (sin.f64 re)))
(fabs.f64 (*.f64 -1/2 (sin.f64 re)))
(log.f64 (pow.f64 -1 (sin.f64 re)))
(log.f64 (+.f64 -1 (expm1.f64 (*.f64 -1/2 (sin.f64 re)))))
(cbrt.f64 (*.f64 -1/2 (sin.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (sin.f64 re))) -1))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))) -1/2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (sin.f64 re))))
(fma.f64 -1 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(fma.f64 (.f64 -1/2 (sin.f64 re)) -1 (.f64 -1/2 (sin.f64 re)))
-1/2
-1/4
0
1/4
1/2
2

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1666×	`fma-def`
1308×	`associate-r`
1112×	`associate-l`
976×	`distribute-lft-in`
762×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	4180
1	479	3815
2	1520	3601
3	6362	3601

Stop Event

1×	node limit

Counts

140 → 113

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/2 im))
(+.f64 1/2 (+.f64 (.f64 -1/2 im) (.f64 1/4 (pow.f64 im 2))))
(+.f64 1/2 (+.f64 (.f64 -1/2 im) (+.f64 (.f64 -1/12 (pow.f64 im 3)) (*.f64 1/4 (pow.f64 im 2)))))
(.f64 re (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (.f64 re (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 re 5) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (.f64 re (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 re 7) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 re 5) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (.f64 re (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im))))))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (sin.f64 re))) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/720 (.f64 (pow.f64 im 6) (sin.f64 re))) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (sin.f64 re))) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 1/2 (pow.f64 im 2))))
(+.f64 1 (+.f64 (.f64 1/720 (pow.f64 im 6)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/2 (pow.f64 im 2)))))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 7) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (sin.f64 re))) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/720 (.f64 (pow.f64 im 6) (sin.f64 re))) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (sin.f64 re))) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
2
(+.f64 2 (pow.f64 im 2))
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 im 4)) (pow.f64 im 2)))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 im 6)) (+.f64 (.f64 1/12 (pow.f64 im 4)) (pow.f64 im 2))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
-1/2
-1/4
0
1/4
1/2
2
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))) -1)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(/.f64 (.f64 -1/2 (sin.f64 re)) (+.f64 (.f64 -1/2 (sin.f64 re)) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))))
(/.f64 (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))))
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 3)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 1/3)
(sqrt.f64 (*.f64 -1/2 (sin.f64 re)))
(fabs.f64 (*.f64 -1/2 (sin.f64 re)))
(log.f64 (pow.f64 -1 (sin.f64 re)))
(log.f64 (+.f64 -1 (expm1.f64 (*.f64 -1/2 (sin.f64 re)))))
(cbrt.f64 (*.f64 -1/2 (sin.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (sin.f64 re))) -1))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))) -1/2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (sin.f64 re))))
(fma.f64 -1 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(fma.f64 (.f64 -1/2 (sin.f64 re)) -1 (.f64 -1/2 (sin.f64 re)))
-1/2
-1/4
0
1/4
1/2
2
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))) -1)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(/.f64 (.f64 -1/2 (sin.f64 re)) (+.f64 (.f64 -1/2 (sin.f64 re)) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))))
(/.f64 (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))))
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 3)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 1/3)
(sqrt.f64 (*.f64 -1/2 (sin.f64 re)))
(fabs.f64 (*.f64 -1/2 (sin.f64 re)))
(log.f64 (pow.f64 -1 (sin.f64 re)))
(log.f64 (+.f64 -1 (expm1.f64 (*.f64 -1/2 (sin.f64 re)))))
(cbrt.f64 (*.f64 -1/2 (sin.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (sin.f64 re))) -1))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))) -1/2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (sin.f64 re))))
(fma.f64 -1 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(fma.f64 (.f64 -1/2 (sin.f64 re)) -1 (.f64 -1/2 (sin.f64 re)))
-1/2
-1/4
0
1/4
1/2
2

Outputs
1/2
(+.f64 1/2 (*.f64 -1/2 im))
(fma.f64 -1/2 im 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/2 im) (.f64 1/4 (pow.f64 im 2))))
(+.f64 1/2 (fma.f64 -1/2 im (*.f64 1/4 (pow.f64 im 2))))
(+.f64 (fma.f64 -1/2 im 1/2) (*.f64 1/4 (pow.f64 im 2)))
(fma.f64 -1/2 im (fma.f64 1/4 (pow.f64 im 2) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/2 im) (+.f64 (.f64 -1/12 (pow.f64 im 3)) (*.f64 1/4 (pow.f64 im 2)))))
(+.f64 1/2 (fma.f64 -1/2 im (fma.f64 -1/12 (pow.f64 im 3) (*.f64 1/4 (pow.f64 im 2)))))
(+.f64 (fma.f64 -1/2 im 1/2) (fma.f64 1/4 (pow.f64 im 2) (*.f64 -1/12 (pow.f64 im 3))))
(+.f64 (fma.f64 -1/2 im 1/2) (.f64 (pow.f64 im 2) (+.f64 1/4 (.f64 im -1/12))))
(.f64 re (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 re (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (.f64 re (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im))))))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 3)) (.f64 re (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 re (.f64 -1/6 (pow.f64 re 3))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (fma.f64 -1/6 (pow.f64 re 3) re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 re 5) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (.f64 re (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 3)) (fma.f64 1/120 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 5)) (*.f64 re (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 3)) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 re (*.f64 1/120 (pow.f64 re 5)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/6 (pow.f64 re 3)) (fma.f64 1/120 (pow.f64 re 5) re)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 re 7) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (+.f64 (.f64 1/120 (.f64 (pow.f64 re 5) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))) (.f64 re (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im))))))))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 3)) (fma.f64 -1/5040 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 7)) (fma.f64 1/120 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 5)) (.f64 re (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))
(+.f64 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 re (.f64 1/120 (pow.f64 re 5)))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/6 (pow.f64 re 3)) (*.f64 -1/5040 (pow.f64 re 7)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (fma.f64 1/120 (pow.f64 re 5) re) (fma.f64 -1/6 (pow.f64 re 3) (.f64 -1/5040 (pow.f64 re 7)))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(*.f64 (fma.f64 1/2 (pow.f64 im 2) 1) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 1/2 (pow.f64 im 2) 1))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (sin.f64 re))) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))))
(+.f64 (sin.f64 re) (fma.f64 1/24 (.f64 (sin.f64 re) (pow.f64 im 4)) (.f64 1/2 (*.f64 (pow.f64 im 2) (sin.f64 re)))))
(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (fma.f64 1/2 (pow.f64 im 2) (.f64 1/24 (pow.f64 im 4)))))
(*.f64 (sin.f64 re) (fma.f64 1/2 (pow.f64 im 2) (fma.f64 1/24 (pow.f64 im 4) 1)))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/720 (.f64 (pow.f64 im 6) (sin.f64 re))) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (sin.f64 re))) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))))
(+.f64 (sin.f64 re) (fma.f64 1/720 (.f64 (sin.f64 re) (pow.f64 im 6)) (fma.f64 1/24 (.f64 (sin.f64 re) (pow.f64 im 4)) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))))
(+.f64 (.f64 (sin.f64 re) (fma.f64 1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4)))) (*.f64 (fma.f64 1/2 (pow.f64 im 2) 1) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (fma.f64 1/2 (pow.f64 im 2) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6))))))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(fma.f64 1/2 (pow.f64 im 2) 1)
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 1/2 (pow.f64 im 2))))
(+.f64 1 (fma.f64 1/24 (pow.f64 im 4) (*.f64 1/2 (pow.f64 im 2))))
(+.f64 1 (fma.f64 1/2 (pow.f64 im 2) (*.f64 1/24 (pow.f64 im 4))))
(fma.f64 1/2 (pow.f64 im 2) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 1 (+.f64 (.f64 1/720 (pow.f64 im 6)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/2 (pow.f64 im 2)))))
(+.f64 1 (fma.f64 1/720 (pow.f64 im 6) (fma.f64 1/24 (pow.f64 im 4) (*.f64 1/2 (pow.f64 im 2)))))
(+.f64 (fma.f64 1/720 (pow.f64 im 6) (*.f64 1/24 (pow.f64 im 4))) (fma.f64 1/2 (pow.f64 im 2) 1))
(fma.f64 1/720 (pow.f64 im 6) (fma.f64 1/2 (pow.f64 im 2) (fma.f64 1/24 (pow.f64 im 4) 1)))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 3)) (.f64 re (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 re (.f64 -1/6 (pow.f64 re 3))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (fma.f64 -1/6 (pow.f64 re 3) re))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 3)) (fma.f64 1/120 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 5)) (*.f64 re (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 3)) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 re (*.f64 1/120 (pow.f64 re 5)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/6 (pow.f64 re 3)) (fma.f64 1/120 (pow.f64 re 5) re)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 7) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 -1/6 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 3)) (fma.f64 -1/5040 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 7)) (fma.f64 1/120 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 5)) (.f64 re (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))
(+.f64 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 re (.f64 1/120 (pow.f64 re 5)))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/6 (pow.f64 re 3)) (*.f64 -1/5040 (pow.f64 re 7)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (fma.f64 1/120 (pow.f64 re 5) re) (fma.f64 -1/6 (pow.f64 re 3) (.f64 -1/5040 (pow.f64 re 7)))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(*.f64 (fma.f64 1/2 (pow.f64 im 2) 1) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 1/2 (pow.f64 im 2) 1))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (sin.f64 re))) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))))
(+.f64 (sin.f64 re) (fma.f64 1/24 (.f64 (sin.f64 re) (pow.f64 im 4)) (.f64 1/2 (*.f64 (pow.f64 im 2) (sin.f64 re)))))
(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (fma.f64 1/2 (pow.f64 im 2) (.f64 1/24 (pow.f64 im 4)))))
(*.f64 (sin.f64 re) (fma.f64 1/2 (pow.f64 im 2) (fma.f64 1/24 (pow.f64 im 4) 1)))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/720 (.f64 (pow.f64 im 6) (sin.f64 re))) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (sin.f64 re))) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))))
(+.f64 (sin.f64 re) (fma.f64 1/720 (.f64 (sin.f64 re) (pow.f64 im 6)) (fma.f64 1/24 (.f64 (sin.f64 re) (pow.f64 im 4)) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))))
(+.f64 (.f64 (sin.f64 re) (fma.f64 1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4)))) (*.f64 (fma.f64 1/2 (pow.f64 im 2) 1) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (fma.f64 1/2 (pow.f64 im 2) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6))))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (sin.f64 re))
2
(+.f64 2 (pow.f64 im 2))
(fma.f64 im im 2)
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 im 4)) (pow.f64 im 2)))
(+.f64 2 (fma.f64 1/12 (pow.f64 im 4) (pow.f64 im 2)))
(+.f64 2 (fma.f64 (pow.f64 im 4) 1/12 (pow.f64 im 2)))
(fma.f64 im im (fma.f64 (pow.f64 im 4) 1/12 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 im 6)) (+.f64 (.f64 1/12 (pow.f64 im 4)) (pow.f64 im 2))))
(+.f64 2 (fma.f64 1/360 (pow.f64 im 6) (fma.f64 1/12 (pow.f64 im 4) (pow.f64 im 2))))
(+.f64 2 (fma.f64 (pow.f64 im 6) 1/360 (fma.f64 (pow.f64 im 4) 1/12 (pow.f64 im 2))))
(fma.f64 (pow.f64 im 6) 1/360 (fma.f64 im im (fma.f64 (pow.f64 im 4) 1/12 2)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
-1/2
-1/4
0
1/4
1/2
2
(+.f64 (sin.f64 re) (sin.f64 re))
(*.f64 2 (sin.f64 re))
(+.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(*.f64 (sin.f64 re) -1)
(neg.f64 (sin.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))) -1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))) 1)
(+.f64 1 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))))
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(sin.f64 re)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(/.f64 -1/2 (/.f64 -1 (sin.f64 re)))
(*.f64 1/2 (sin.f64 re))
(/.f64 (.f64 -1/2 (sin.f64 re)) (+.f64 (.f64 -1/2 (sin.f64 re)) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))))
1
(/.f64 (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))))
1
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(/.f64 1 (*.f64 -1/2 (sin.f64 re)))
(/.f64 -2 (sin.f64 re))
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 3)
(*.f64 -1/8 (pow.f64 (sin.f64 re) 3))
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 1/3)
(cbrt.f64 (*.f64 -1/2 (sin.f64 re)))
(sqrt.f64 (*.f64 -1/2 (sin.f64 re)))
(fabs.f64 (*.f64 -1/2 (sin.f64 re)))
(*.f64 1/2 (fabs.f64 (sin.f64 re)))
(log.f64 (pow.f64 -1 (sin.f64 re)))
(*.f64 (sin.f64 re) (log.f64 -1))
(log.f64 (+.f64 -1 (expm1.f64 (*.f64 -1/2 (sin.f64 re)))))
(cbrt.f64 (*.f64 -1/2 (sin.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re))))
(*.f64 -1/2 (sin.f64 re))
(exp.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))))
(*.f64 -1/2 (sin.f64 re))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (sin.f64 re))) -1))
(/.f64 1 (*.f64 -1/2 (sin.f64 re)))
(/.f64 -2 (sin.f64 re))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))) -1/2))
(.f64 (.f64 -1/2 (sin.f64 re)) (exp.f64 -1/2))
(.f64 -1/2 (.f64 (sin.f64 re) (exp.f64 -1/2)))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (sin.f64 re))))
(*.f64 -1/2 (sin.f64 re))
(fma.f64 -1 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
0
(fma.f64 (.f64 -1/2 (sin.f64 re)) -1 (.f64 -1/2 (sin.f64 re)))
0
-1/2
-1/4
0
1/4
1/2
2
(+.f64 (sin.f64 re) (sin.f64 re))
(*.f64 2 (sin.f64 re))
(+.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
(*.f64 (sin.f64 re) -1)
(neg.f64 (sin.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))) -1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))) 1)
(+.f64 1 (exp.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re)))))
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(sin.f64 re)
(/.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(/.f64 -1/2 (/.f64 -1 (sin.f64 re)))
(*.f64 1/2 (sin.f64 re))
(/.f64 (.f64 -1/2 (sin.f64 re)) (+.f64 (.f64 -1/2 (sin.f64 re)) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))))
1
(/.f64 (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))) (-.f64 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re))))
1
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1/2)
(pow.f64 (*.f64 -1/2 (sin.f64 re)) -1)
(/.f64 1 (*.f64 -1/2 (sin.f64 re)))
(/.f64 -2 (sin.f64 re))
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 3)
(*.f64 -1/8 (pow.f64 (sin.f64 re) 3))
(pow.f64 (*.f64 -1/2 (sin.f64 re)) 1/3)
(cbrt.f64 (*.f64 -1/2 (sin.f64 re)))
(sqrt.f64 (*.f64 -1/2 (sin.f64 re)))
(fabs.f64 (*.f64 -1/2 (sin.f64 re)))
(*.f64 1/2 (fabs.f64 (sin.f64 re)))
(log.f64 (pow.f64 -1 (sin.f64 re)))
(*.f64 (sin.f64 re) (log.f64 -1))
(log.f64 (+.f64 -1 (expm1.f64 (*.f64 -1/2 (sin.f64 re)))))
(cbrt.f64 (*.f64 -1/2 (sin.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (sin.f64 re))))
(*.f64 -1/2 (sin.f64 re))
(exp.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))))
(*.f64 -1/2 (sin.f64 re))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (sin.f64 re))) -1))
(/.f64 1 (*.f64 -1/2 (sin.f64 re)))
(/.f64 -2 (sin.f64 re))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/2 (sin.f64 re))) -1/2))
(.f64 (.f64 -1/2 (sin.f64 re)) (exp.f64 -1/2))
(.f64 -1/2 (.f64 (sin.f64 re) (exp.f64 -1/2)))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (sin.f64 re))))
(*.f64 -1/2 (sin.f64 re))
(fma.f64 -1 (.f64 -1/2 (sin.f64 re)) (.f64 -1/2 (sin.f64 re)))
0
(fma.f64 (.f64 -1/2 (sin.f64 re)) -1 (.f64 -1/2 (sin.f64 re)))
0
-1/2
-1/4
0
1/4
1/2
2

eval41.0ms (0.7%)

Compiler: Compiled 1654 to 1042 computations (37% saved)

prune25.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	108	7	115

Accuracy

100.0%

Counts

115 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
▶	74.8%	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
✓	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	58.7%	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
▶	10.9%	(*.f64 2 (sin.f64 re))
▶	62.6%	(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
▶	51.6%	(sin.f64 re)
▶	74.8%	(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
▶	74.8%	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
✓	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	58.7%	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
▶	10.9%	(*.f64 2 (sin.f64 re))
▶	62.6%	(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
▶	51.6%	(sin.f64 re)

Compiler

Compiled 250 to 188 computations (24.8% saved)

localize121.0ms (2.1%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
✓	100.0%	(*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓	95.2%	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
✓	100.0%	(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
✓	95.1%	(*.f64 (pow.f64 im 2) (sin.f64 re))

Compiler

Compiled 105 to 44 computations (58.1% saved)

series13.0ms (0.2%)

Counts

5 → 51

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	im	@	-inf	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
1.0ms	re	@	inf	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
1.0ms	re	@	0	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
1.0ms	im	@	inf	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
1.0ms	re	@	-inf	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

352×	`associate-r`
212×	`associate-l`
154×	`log1p-expm1-u`
154×	`expm1-log1p-u`
152×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	115
1	341	115
2	5834	115

Stop Event

1×

unsound

Counts

5 → 70

Calls

Call 1

Inputs
(*.f64 (pow.f64 im 2) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
(*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Outputs
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -2)
(/.f64 re -2)
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re -2)
(pow.f64 re 1/3)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 -2 (expm1.f64 re)))
(cbrt.f64 re)
re
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) -2))
(log1p.f64 (expm1.f64 re))
(fma.f64 -2 re re)
(fma.f64 re -2 re)
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1668×	`fma-def`
942×	`distribute-lft-out`
852×	`associate-r`
742×	`associate-+r+`
722×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	2374
1	366	2275
2	1095	2001
3	5327	1975

Stop Event

1×	node limit

Counts

121 → 101

Calls

Call 1

Inputs
(*.f64 (pow.f64 im 2) re)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3))) (*.f64 (pow.f64 im 2) re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 im 2) (pow.f64 re 5))) (*.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 im 2) (pow.f64 re 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 im 2) (pow.f64 re 5))) (*.f64 (pow.f64 im 2) re))))
(.f64 re (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(+.f64 (.f64 re (+.f64 1 (.f64 1/2 (pow.f64 im 2)))) (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)))
(+.f64 (.f64 re (+.f64 1 (.f64 1/2 (pow.f64 im 2)))) (+.f64 (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)) (.f64 (pow.f64 re 5) (+.f64 1/120 (.f64 1/240 (pow.f64 im 2))))))
(+.f64 (.f64 re (+.f64 1 (.f64 1/2 (pow.f64 im 2)))) (+.f64 (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)) (+.f64 (.f64 (pow.f64 re 5) (+.f64 1/120 (.f64 1/240 (pow.f64 im 2)))) (.f64 (pow.f64 re 7) (-.f64 (.f64 -1/10080 (pow.f64 im 2)) 1/5040)))))
(sin.f64 re)
(.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))
(.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))
(.f64 1/2 (.f64 re (+.f64 2 (pow.f64 im 2))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 2 (pow.f64 im 2)))) (.f64 1/2 (.f64 re (+.f64 2 (pow.f64 im 2)))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 2 (pow.f64 im 2)))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 2 (pow.f64 im 2)))) (.f64 1/2 (.f64 re (+.f64 2 (pow.f64 im 2))))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 2 (pow.f64 im 2)))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 7) (+.f64 2 (pow.f64 im 2)))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 2 (pow.f64 im 2)))) (.f64 1/2 (.f64 re (+.f64 2 (pow.f64 im 2)))))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(*.f64 2 re)
(+.f64 (.f64 2 re) (.f64 (pow.f64 im 2) re))
(+.f64 (.f64 1/12 (.f64 (pow.f64 im 4) re)) (+.f64 (.f64 2 re) (.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 1/360 (.f64 (pow.f64 im 6) re)) (+.f64 (.f64 1/12 (.f64 (pow.f64 im 4) re)) (+.f64 (.f64 2 re) (.f64 (pow.f64 im 2) re))))
(.f64 re (+.f64 (exp.f64 im) (exp.f64 (.f64 -1 im))))
(.f64 re (+.f64 (exp.f64 im) (exp.f64 (.f64 -1 im))))
(.f64 re (+.f64 (exp.f64 im) (exp.f64 (.f64 -1 im))))
(.f64 re (+.f64 (exp.f64 im) (exp.f64 (.f64 -1 im))))
2
(+.f64 2 (pow.f64 im 2))
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 im 4)) (pow.f64 im 2)))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 im 6)) (+.f64 (.f64 1/12 (pow.f64 im 4)) (pow.f64 im 2))))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -2)
(/.f64 re -2)
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re -2)
(pow.f64 re 1/3)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 -2 (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) -2))
(log1p.f64 (expm1.f64 re))
(fma.f64 -2 re re)
(fma.f64 re -2 re)
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8

Outputs
(*.f64 (pow.f64 im 2) re)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3))) (*.f64 (pow.f64 im 2) re))
(fma.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3)) (.f64 (pow.f64 im 2) re))
(fma.f64 (pow.f64 im 2) re (.f64 (pow.f64 im 2) (.f64 (pow.f64 re 3) -1/6)))
(.f64 (pow.f64 im 2) (+.f64 re (.f64 -1/6 (pow.f64 re 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 im 2) (pow.f64 re 5))) (*.f64 (pow.f64 im 2) re)))
(fma.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3)) (fma.f64 1/120 (.f64 (pow.f64 im 2) (pow.f64 re 5)) (*.f64 (pow.f64 im 2) re)))
(fma.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3)) (fma.f64 (pow.f64 im 2) re (.f64 1/120 (*.f64 (pow.f64 im 2) (pow.f64 re 5)))))
(fma.f64 (pow.f64 im 2) (.f64 1/120 (pow.f64 re 5)) (.f64 (pow.f64 im 2) (+.f64 re (*.f64 -1/6 (pow.f64 re 3)))))
(.f64 (pow.f64 im 2) (+.f64 re (+.f64 (.f64 1/120 (pow.f64 re 5)) (*.f64 -1/6 (pow.f64 re 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 im 2) (pow.f64 re 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 im 2) (pow.f64 re 5))) (*.f64 (pow.f64 im 2) re))))
(fma.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3)) (fma.f64 -1/5040 (.f64 (pow.f64 im 2) (pow.f64 re 7)) (fma.f64 1/120 (.f64 (pow.f64 im 2) (pow.f64 re 5)) (.f64 (pow.f64 im 2) re))))
(fma.f64 -1/6 (.f64 (pow.f64 im 2) (pow.f64 re 3)) (fma.f64 -1/5040 (.f64 (pow.f64 im 2) (pow.f64 re 7)) (fma.f64 (pow.f64 im 2) re (.f64 1/120 (.f64 (pow.f64 im 2) (pow.f64 re 5))))))
(+.f64 (.f64 (pow.f64 im 2) (+.f64 re (.f64 -1/6 (pow.f64 re 3)))) (.f64 (pow.f64 im 2) (+.f64 (.f64 1/120 (pow.f64 re 5)) (*.f64 -1/5040 (pow.f64 re 7)))))
(.f64 (pow.f64 im 2) (+.f64 (+.f64 re (.f64 -1/6 (pow.f64 re 3))) (+.f64 (.f64 1/120 (pow.f64 re 5)) (.f64 -1/5040 (pow.f64 re 7)))))
(.f64 re (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(.f64 re (+.f64 1 (.f64 (pow.f64 im 2) 1/2)))
(*.f64 re (fma.f64 (pow.f64 im 2) 1/2 1))
(+.f64 (.f64 re (+.f64 1 (.f64 1/2 (pow.f64 im 2)))) (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)))
(fma.f64 re (+.f64 1 (.f64 (pow.f64 im 2) 1/2)) (.f64 (pow.f64 re 3) (fma.f64 -1/12 (pow.f64 im 2) -1/6)))
(fma.f64 re (fma.f64 (pow.f64 im 2) 1/2 1) (*.f64 (pow.f64 re 3) (fma.f64 (pow.f64 im 2) -1/12 -1/6)))
(.f64 (fma.f64 im im 2) (fma.f64 (pow.f64 re 3) -1/12 (.f64 re 1/2)))
(+.f64 (.f64 re (+.f64 1 (.f64 1/2 (pow.f64 im 2)))) (+.f64 (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)) (.f64 (pow.f64 re 5) (+.f64 1/120 (.f64 1/240 (pow.f64 im 2))))))
(fma.f64 re (+.f64 1 (.f64 (pow.f64 im 2) 1/2)) (fma.f64 (pow.f64 re 3) (fma.f64 -1/12 (pow.f64 im 2) -1/6) (.f64 (pow.f64 re 5) (+.f64 1/120 (*.f64 (pow.f64 im 2) 1/240)))))
(fma.f64 re (fma.f64 (pow.f64 im 2) 1/2 1) (fma.f64 (pow.f64 re 3) (fma.f64 (pow.f64 im 2) -1/12 -1/6) (*.f64 (pow.f64 re 5) (fma.f64 (pow.f64 im 2) 1/240 1/120))))
(.f64 (fma.f64 im im 2) (+.f64 (.f64 (pow.f64 re 3) -1/12) (fma.f64 (pow.f64 re 5) 1/240 (*.f64 re 1/2))))
(+.f64 (.f64 re (+.f64 1 (.f64 1/2 (pow.f64 im 2)))) (+.f64 (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)) (+.f64 (.f64 (pow.f64 re 5) (+.f64 1/120 (.f64 1/240 (pow.f64 im 2)))) (.f64 (pow.f64 re 7) (-.f64 (.f64 -1/10080 (pow.f64 im 2)) 1/5040)))))
(fma.f64 re (+.f64 1 (.f64 (pow.f64 im 2) 1/2)) (fma.f64 (pow.f64 re 3) (fma.f64 -1/12 (pow.f64 im 2) -1/6) (fma.f64 (pow.f64 re 5) (+.f64 1/120 (.f64 (pow.f64 im 2) 1/240)) (*.f64 (pow.f64 re 7) (fma.f64 -1/10080 (pow.f64 im 2) -1/5040)))))
(fma.f64 re (fma.f64 (pow.f64 im 2) 1/2 1) (fma.f64 (pow.f64 re 3) (fma.f64 (pow.f64 im 2) -1/12 -1/6) (fma.f64 (pow.f64 re 5) (fma.f64 (pow.f64 im 2) 1/240 1/120) (*.f64 (pow.f64 re 7) (fma.f64 (pow.f64 im 2) -1/10080 -1/5040)))))
(.f64 (fma.f64 im im 2) (+.f64 (fma.f64 (pow.f64 re 5) 1/240 (.f64 re 1/2)) (fma.f64 (pow.f64 re 3) -1/12 (*.f64 (pow.f64 re 7) -1/10080))))
(sin.f64 re)
(.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))
(.f64 (.f64 (pow.f64 im 2) 1/2) (sin.f64 re))
(.f64 (pow.f64 im 2) (.f64 1/2 (sin.f64 re)))
(.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))
(.f64 (.f64 (pow.f64 im 2) 1/2) (sin.f64 re))
(.f64 (pow.f64 im 2) (.f64 1/2 (sin.f64 re)))
(.f64 1/2 (.f64 re (+.f64 2 (pow.f64 im 2))))
(.f64 re (+.f64 1 (.f64 (pow.f64 im 2) 1/2)))
(*.f64 re (fma.f64 (pow.f64 im 2) 1/2 1))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 2 (pow.f64 im 2)))) (.f64 1/2 (.f64 re (+.f64 2 (pow.f64 im 2)))))
(fma.f64 re (+.f64 1 (.f64 (pow.f64 im 2) 1/2)) (.f64 (pow.f64 re 3) (fma.f64 -1/12 (pow.f64 im 2) -1/6)))
(fma.f64 re (fma.f64 (pow.f64 im 2) 1/2 1) (*.f64 (pow.f64 re 3) (fma.f64 (pow.f64 im 2) -1/12 -1/6)))
(.f64 (fma.f64 im im 2) (fma.f64 (pow.f64 re 3) -1/12 (.f64 re 1/2)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 2 (pow.f64 im 2)))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 2 (pow.f64 im 2)))) (.f64 1/2 (.f64 re (+.f64 2 (pow.f64 im 2))))))
(fma.f64 re (+.f64 1 (.f64 (pow.f64 im 2) 1/2)) (fma.f64 (pow.f64 re 3) (fma.f64 -1/12 (pow.f64 im 2) -1/6) (.f64 (pow.f64 re 5) (+.f64 1/120 (*.f64 (pow.f64 im 2) 1/240)))))
(fma.f64 re (fma.f64 (pow.f64 im 2) 1/2 1) (fma.f64 (pow.f64 re 3) (fma.f64 (pow.f64 im 2) -1/12 -1/6) (*.f64 (pow.f64 re 5) (fma.f64 (pow.f64 im 2) 1/240 1/120))))
(.f64 (fma.f64 im im 2) (+.f64 (.f64 (pow.f64 re 3) -1/12) (fma.f64 (pow.f64 re 5) 1/240 (*.f64 re 1/2))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 2 (pow.f64 im 2)))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 7) (+.f64 2 (pow.f64 im 2)))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 2 (pow.f64 im 2)))) (.f64 1/2 (.f64 re (+.f64 2 (pow.f64 im 2)))))))
(fma.f64 re (+.f64 1 (.f64 (pow.f64 im 2) 1/2)) (fma.f64 (pow.f64 re 3) (fma.f64 -1/12 (pow.f64 im 2) -1/6) (fma.f64 (pow.f64 re 5) (+.f64 1/120 (.f64 (pow.f64 im 2) 1/240)) (*.f64 (pow.f64 re 7) (fma.f64 -1/10080 (pow.f64 im 2) -1/5040)))))
(fma.f64 re (fma.f64 (pow.f64 im 2) 1/2 1) (fma.f64 (pow.f64 re 3) (fma.f64 (pow.f64 im 2) -1/12 -1/6) (fma.f64 (pow.f64 re 5) (fma.f64 (pow.f64 im 2) 1/240 1/120) (*.f64 (pow.f64 re 7) (fma.f64 (pow.f64 im 2) -1/10080 -1/5040)))))
(.f64 (fma.f64 im im 2) (+.f64 (fma.f64 (pow.f64 re 5) 1/240 (.f64 re 1/2)) (fma.f64 (pow.f64 re 3) -1/12 (*.f64 (pow.f64 re 7) -1/10080))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))
(.f64 (.f64 (pow.f64 im 2) 1/2) (sin.f64 re))
(.f64 (pow.f64 im 2) (.f64 1/2 (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re)))
(.f64 (.f64 (pow.f64 im 2) 1/2) (sin.f64 re))
(.f64 (pow.f64 im 2) (.f64 1/2 (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 2 (pow.f64 im 2))))
(.f64 (sin.f64 re) (.f64 (fma.f64 im im 2) 1/2))
(*.f64 (fma.f64 (pow.f64 im 2) 1/2 1) (sin.f64 re))
(*.f64 2 re)
(+.f64 (.f64 2 re) (.f64 (pow.f64 im 2) re))
(*.f64 re (+.f64 2 (pow.f64 im 2)))
(*.f64 re (fma.f64 im im 2))
(+.f64 (.f64 1/12 (.f64 (pow.f64 im 4) re)) (+.f64 (.f64 2 re) (.f64 (pow.f64 im 2) re)))
(fma.f64 1/12 (.f64 re (pow.f64 im 4)) (.f64 re (+.f64 2 (pow.f64 im 2))))
(*.f64 re (+.f64 2 (fma.f64 1/12 (pow.f64 im 4) (pow.f64 im 2))))
(*.f64 re (fma.f64 im im (fma.f64 1/12 (pow.f64 im 4) 2)))
(+.f64 (.f64 1/360 (.f64 (pow.f64 im 6) re)) (+.f64 (.f64 1/12 (.f64 (pow.f64 im 4) re)) (+.f64 (.f64 2 re) (.f64 (pow.f64 im 2) re))))
(fma.f64 1/360 (.f64 re (pow.f64 im 6)) (fma.f64 1/12 (.f64 re (pow.f64 im 4)) (*.f64 re (+.f64 2 (pow.f64 im 2)))))
(fma.f64 1/360 (.f64 re (pow.f64 im 6)) (.f64 re (+.f64 2 (fma.f64 1/12 (pow.f64 im 4) (pow.f64 im 2)))))
(*.f64 re (fma.f64 1/360 (pow.f64 im 6) (fma.f64 im im (fma.f64 1/12 (pow.f64 im 4) 2))))
(.f64 re (+.f64 (exp.f64 im) (exp.f64 (.f64 -1 im))))
(*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 re (+.f64 (exp.f64 im) (exp.f64 (.f64 -1 im))))
(*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 re (+.f64 (exp.f64 im) (exp.f64 (.f64 -1 im))))
(*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 re (+.f64 (exp.f64 im) (exp.f64 (.f64 -1 im))))
(*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
2
(+.f64 2 (pow.f64 im 2))
(fma.f64 im im 2)
(+.f64 2 (+.f64 (*.f64 1/12 (pow.f64 im 4)) (pow.f64 im 2)))
(+.f64 2 (fma.f64 1/12 (pow.f64 im 4) (pow.f64 im 2)))
(fma.f64 im im (fma.f64 1/12 (pow.f64 im 4) 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 im 6)) (+.f64 (.f64 1/12 (pow.f64 im 4)) (pow.f64 im 2))))
(+.f64 2 (fma.f64 1/360 (pow.f64 im 6) (fma.f64 1/12 (pow.f64 im 4) (pow.f64 im 2))))
(fma.f64 1/360 (pow.f64 im 6) (fma.f64 im im (fma.f64 1/12 (pow.f64 im 4) 2)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8
(+.f64 re re)
(*.f64 2 re)
(-.f64 (exp.f64 (log1p.f64 re)) -2)
(+.f64 (exp.f64 (log1p.f64 re)) 2)
(+.f64 2 (exp.f64 (log1p.f64 re)))
(/.f64 re -2)
(/.f64 re (+.f64 re (-.f64 re re)))
1
(/.f64 (-.f64 re re) (-.f64 re re))
1
(pow.f64 re -2)
(pow.f64 re 1/3)
(cbrt.f64 re)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
re
(log.f64 (+.f64 -2 (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
re
(exp.f64 (log.f64 re))
re
(exp.f64 (*.f64 (log.f64 re) -2))
(pow.f64 re -2)
(log1p.f64 (expm1.f64 re))
re
(fma.f64 -2 re re)
(neg.f64 re)
(fma.f64 re -2 re)
(fma.f64 -2 re re)
(neg.f64 re)
-2
-1
-1/2
0
1/8
1/4
1/2
1
3/2
2
3
4
8

eval38.0ms (0.6%)

Compiler: Compiled 1464 to 1075 computations (26.6% saved)

prune38.0ms (0.7%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	88	13	101
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	88	20	108

Accuracy

100.0%

Counts

108 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.8%	(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
	4.7%	(+.f64 (sin.f64 re) (*.f64 1/2 8))
▶	3.6%	(+.f64 (sin.f64 re) (*.f64 1/2 -2))
	26.9%	(.f64 (pow.f64 im 2) (.f64 1/2 (sin.f64 re)))
✓	74.8%	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
✓	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	58.7%	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
✓	10.9%	(*.f64 2 (sin.f64 re))
	14.0%	(*.f64 1/2 (pow.f64 re -2))
	5.2%	(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
▶	2.9%	(*.f64 1/2 (/.f64 re -2))
▶	47.0%	(.f64 1/2 (+.f64 (.f64 2 re) (*.f64 (pow.f64 im 2) re)))
	29.4%	(*.f64 1/2 (+.f64 re re))
	47.0%	(.f64 1/2 (.f64 re (fma.f64 im im 2)))
✓	62.6%	(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
	2.9%	(*.f64 1/2 (neg.f64 re))
	16.4%	(*.f64 1/2 (log1p.f64 (expm1.f64 re)))
	14.0%	(.f64 1/2 (exp.f64 (.f64 (log.f64 re) -2)))
▶	7.1%	(*.f64 1/2 re)
✓	51.6%	(sin.f64 re)
✓	74.8%	(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
	4.7%	(+.f64 (sin.f64 re) (*.f64 1/2 8))
▶	3.6%	(+.f64 (sin.f64 re) (*.f64 1/2 -2))
	26.9%	(.f64 (pow.f64 im 2) (.f64 1/2 (sin.f64 re)))
✓	74.8%	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
✓	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	58.7%	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
✓	10.9%	(*.f64 2 (sin.f64 re))
	14.0%	(*.f64 1/2 (pow.f64 re -2))
	5.2%	(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
▶	2.9%	(*.f64 1/2 (/.f64 re -2))
▶	47.0%	(.f64 1/2 (+.f64 (.f64 2 re) (*.f64 (pow.f64 im 2) re)))
	29.4%	(*.f64 1/2 (+.f64 re re))
	47.0%	(.f64 1/2 (.f64 re (fma.f64 im im 2)))
✓	62.6%	(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
	2.9%	(*.f64 1/2 (neg.f64 re))
	16.4%	(*.f64 1/2 (log1p.f64 (expm1.f64 re)))
	14.0%	(.f64 1/2 (exp.f64 (.f64 (log.f64 re) -2)))
▶	7.1%	(*.f64 1/2 re)
✓	51.6%	(sin.f64 re)

Compiler

Compiled 590 to 464 computations (21.4% saved)

localize116.0ms (2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	90.8%	(*.f64 (pow.f64 im 2) re)
✓	99.5%	(+.f64 (sin.f64 re) (*.f64 1/2 -2))
✓	100.0%	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))

Compiler

Compiled 89 to 57 computations (36% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
1.0ms	re	@	0	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
0.0ms	im	@	inf	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
0.0ms	re	@	inf	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
0.0ms	im	@	0	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))

rewrite104.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`log-prod`
848×	`log1p-expm1-u`
848×	`expm1-log1p-u`
470×	`pow-prod-up`
414×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	203	60
2	2376	60

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
(+.f64 (sin.f64 re) (*.f64 1/2 -2))
(*.f64 (pow.f64 im 2) re)

Outputs
(+.f64 0 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))))
(+.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) (*.f64 (sin.f64 re) 0))
(+.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) (*.f64 0 (sin.f64 re)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))))) 1)
(pow.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (*.f64 1/2 (exp.f64 im))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 re) 3) (pow.f64 (.f64 1/2 (exp.f64 im)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (exp.f64 im)) 3) (pow.f64 (sin.f64 re) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))))
(exp.f64 (+.f64 (log.f64 (sin.f64 re)) (+.f64 im (log.f64 1/2))))
(exp.f64 (*.f64 (+.f64 (log.f64 (sin.f64 re)) (+.f64 im (log.f64 1/2))) 1))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 (sin.f64 re)) (+.f64 im (log.f64 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 re) (*.f64 1/2 (exp.f64 im))))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 (log.f64 (sin.f64 re)) (+.f64 im (log.f64 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 re) (*.f64 1/2 (exp.f64 im))))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))))
(fma.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)) (.f64 (sin.f64 re) 0))
(fma.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)) (.f64 0 (sin.f64 re)))
(fma.f64 (.f64 1/2 (exp.f64 im)) (sin.f64 re) (.f64 (sin.f64 re) 0))
(fma.f64 (.f64 1/2 (exp.f64 im)) (sin.f64 re) (.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 1 (*.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 1 (*.f64 0 (sin.f64 re)))
(fma.f64 1 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) (*.f64 (sin.f64 re) 0))
(fma.f64 1 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) (*.f64 0 (sin.f64 re)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (.f64 (cbrt.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))) (*.f64 (sin.f64 re) 0))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (.f64 (cbrt.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))) (*.f64 0 (sin.f64 re)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) 2) (.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) (sin.f64 re)) (.f64 (sin.f64 re) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) 2) (.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) (sin.f64 re)) (.f64 0 (sin.f64 re)))
(fma.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2) (*.f64 (sin.f64 re) 0))
(fma.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2) (*.f64 0 (sin.f64 re)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2) (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (*.f64 (sin.f64 re) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2) (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (*.f64 0 (sin.f64 re)))
(fma.f64 (sqrt.f64 (sin.f64 re)) (.f64 (sqrt.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))) (*.f64 (sin.f64 re) 0))
(fma.f64 (sqrt.f64 (sin.f64 re)) (.f64 (sqrt.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))) (*.f64 0 (sin.f64 re)))
(fma.f64 (sqrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 (sqrt.f64 (.f64 1/2 (exp.f64 im))) (sin.f64 re)) (.f64 (sin.f64 re) 0))
(fma.f64 (sqrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 (sqrt.f64 (.f64 1/2 (exp.f64 im))) (sin.f64 re)) (.f64 0 (sin.f64 re)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (*.f64 (sin.f64 re) 0))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (*.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) (pow.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) 2)) (cbrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (sin.f64 re) (pow.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) 2)) (cbrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) (sqrt.f64 (.f64 1/2 (exp.f64 im)))) (sqrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (sin.f64 re) (sqrt.f64 (.f64 1/2 (exp.f64 im)))) (sqrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (.f64 1/2 (exp.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2)) (cbrt.f64 (sin.f64 re)) (*.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (.f64 1/2 (exp.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2)) (cbrt.f64 (sin.f64 re)) (*.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (.f64 1/2 (exp.f64 im)) (sqrt.f64 (sin.f64 re))) (sqrt.f64 (sin.f64 re)) (*.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (.f64 1/2 (exp.f64 im)) (sqrt.f64 (sin.f64 re))) (sqrt.f64 (sin.f64 re)) (*.f64 0 (sin.f64 re)))
(-.f64 (sin.f64 re) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(*.f64 (+.f64 (sin.f64 re) -1) 1)
(*.f64 (+.f64 (sin.f64 re) -1) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 (sin.f64 re) -1))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2) (cbrt.f64 (+.f64 (sin.f64 re) -1)))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) (sqrt.f64 (+.f64 (sin.f64 re) -1)))
(.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (.f64 (sin.f64 re) -1)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 re)) 1) (-.f64 (sqrt.f64 (sin.f64 re)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))) (+.f64 -1 (pow.f64 (sin.f64 re) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 1 (-.f64 (pow.f64 (sin.f64 re) 2) (*.f64 (sin.f64 re) -1))))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (+.f64 (sin.f64 re) 1))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 re) 2)) (-.f64 -1 (sin.f64 re)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1)) (neg.f64 (+.f64 (sin.f64 re) 1)))
(pow.f64 (+.f64 (sin.f64 re) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))) (+.f64 -1 (pow.f64 (sin.f64 re) 3))) -1)
(pow.f64 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 re) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3))
(expm1.f64 (log.f64 (sin.f64 re)))
(exp.f64 (log.f64 (+.f64 (sin.f64 re) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (sin.f64 re) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 re) -1)))
(fma.f64 (sin.f64 re) 1 -1)
(fma.f64 1 (sin.f64 re) -1)
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (cbrt.f64 (sin.f64 re)) -1)
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) -1)
(+.f64 0 (*.f64 re (pow.f64 im 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (pow.f64 im 2)))) 1)
(pow.f64 (*.f64 re (pow.f64 im 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 re (pow.f64 im 2))) 3)
(pow.f64 (pow.f64 (*.f64 re (pow.f64 im 2)) 3) 1/3)
(pow.f64 (*.f64 im (sqrt.f64 re)) 2)
(sqrt.f64 (pow.f64 (*.f64 im (sqrt.f64 re)) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 re (pow.f64 im 2)))))
(cbrt.f64 (pow.f64 (*.f64 re (pow.f64 im 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 re 3) (pow.f64 im 6)))
(cbrt.f64 (*.f64 (pow.f64 im 6) (pow.f64 re 3)))
(expm1.f64 (log1p.f64 (*.f64 re (pow.f64 im 2))))
(exp.f64 (fma.f64 2 (log.f64 im) (log.f64 re)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 im) (log.f64 re)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 im) (log.f64 re)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 re (pow.f64 im 2)))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 im) (log.f64 re))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 re))) 2))
(log1p.f64 (expm1.f64 (*.f64 re (pow.f64 im 2))))

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1772×	`fma-def`
1032×	`unswap-sqr`
896×	`distribute-lft-in`
874×	`distribute-rgt-in`
710×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4402
1	732	4208
2	2111	3889

Stop Event

1×	node limit

Counts

154 → 165

Calls

Call 1

Inputs
(.f64 1/2 (.f64 re (exp.f64 im)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (exp.f64 im))) (.f64 1/2 (.f64 re (exp.f64 im))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (exp.f64 im))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (exp.f64 im))) (.f64 1/2 (.f64 re (exp.f64 im)))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (exp.f64 im))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 7) (exp.f64 im))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (exp.f64 im))) (.f64 1/2 (.f64 re (exp.f64 im))))))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(*.f64 1/2 (sin.f64 re))
(+.f64 (.f64 1/2 (sin.f64 re)) (.f64 1/2 (*.f64 im (sin.f64 re))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 im 2) (sin.f64 re))) (+.f64 (.f64 1/2 (sin.f64 re)) (.f64 1/2 (*.f64 im (sin.f64 re)))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 im 3) (sin.f64 re))) (+.f64 (.f64 1/4 (.f64 (pow.f64 im 2) (sin.f64 re))) (+.f64 (.f64 1/2 (sin.f64 re)) (.f64 1/2 (*.f64 im (sin.f64 re))))))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
-1
(-.f64 re 1)
(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
(-.f64 (+.f64 re (+.f64 (.f64 -1/6 (pow.f64 re 3)) (.f64 1/120 (pow.f64 re 5)))) 1)
(-.f64 (sin.f64 re) 1)
(-.f64 (sin.f64 re) 1)
(-.f64 (sin.f64 re) 1)
(-.f64 (sin.f64 re) 1)
(-.f64 (sin.f64 re) 1)
(-.f64 (sin.f64 re) 1)
(-.f64 (sin.f64 re) 1)
(-.f64 (sin.f64 re) 1)
(+.f64 0 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))))
(+.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) (*.f64 (sin.f64 re) 0))
(+.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) (*.f64 0 (sin.f64 re)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))))) 1)
(pow.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (*.f64 1/2 (exp.f64 im))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 re) 3) (pow.f64 (.f64 1/2 (exp.f64 im)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (exp.f64 im)) 3) (pow.f64 (sin.f64 re) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))))
(exp.f64 (+.f64 (log.f64 (sin.f64 re)) (+.f64 im (log.f64 1/2))))
(exp.f64 (*.f64 (+.f64 (log.f64 (sin.f64 re)) (+.f64 im (log.f64 1/2))) 1))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 (sin.f64 re)) (+.f64 im (log.f64 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 re) (*.f64 1/2 (exp.f64 im))))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 (log.f64 (sin.f64 re)) (+.f64 im (log.f64 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 re) (*.f64 1/2 (exp.f64 im))))) 2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))))
(fma.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)) (.f64 (sin.f64 re) 0))
(fma.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)) (.f64 0 (sin.f64 re)))
(fma.f64 (.f64 1/2 (exp.f64 im)) (sin.f64 re) (.f64 (sin.f64 re) 0))
(fma.f64 (.f64 1/2 (exp.f64 im)) (sin.f64 re) (.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 1 (*.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) 1 (*.f64 0 (sin.f64 re)))
(fma.f64 1 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) (*.f64 (sin.f64 re) 0))
(fma.f64 1 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im))) (*.f64 0 (sin.f64 re)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (.f64 (cbrt.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))) (*.f64 (sin.f64 re) 0))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (.f64 (cbrt.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))) (*.f64 0 (sin.f64 re)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) 2) (.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) (sin.f64 re)) (.f64 (sin.f64 re) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) 2) (.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) (sin.f64 re)) (.f64 0 (sin.f64 re)))
(fma.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2) (*.f64 (sin.f64 re) 0))
(fma.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2) (*.f64 0 (sin.f64 re)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2) (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (*.f64 (sin.f64 re) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) 2) (cbrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (*.f64 0 (sin.f64 re)))
(fma.f64 (sqrt.f64 (sin.f64 re)) (.f64 (sqrt.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))) (*.f64 (sin.f64 re) 0))
(fma.f64 (sqrt.f64 (sin.f64 re)) (.f64 (sqrt.f64 (sin.f64 re)) (.f64 1/2 (exp.f64 im))) (*.f64 0 (sin.f64 re)))
(fma.f64 (sqrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 (sqrt.f64 (.f64 1/2 (exp.f64 im))) (sin.f64 re)) (.f64 (sin.f64 re) 0))
(fma.f64 (sqrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 (sqrt.f64 (.f64 1/2 (exp.f64 im))) (sin.f64 re)) (.f64 0 (sin.f64 re)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (*.f64 (sin.f64 re) 0))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (sqrt.f64 (.f64 (sin.f64 re) (.f64 1/2 (exp.f64 im)))) (*.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) (pow.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) 2)) (cbrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (sin.f64 re) (pow.f64 (cbrt.f64 (.f64 1/2 (exp.f64 im))) 2)) (cbrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) (sqrt.f64 (.f64 1/2 (exp.f64 im)))) (sqrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (sin.f64 re) (sqrt.f64 (.f64 1/2 (exp.f64 im)))) (sqrt.f64 (.f64 1/2 (exp.f64 im))) (.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (.f64 1/2 (exp.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2)) (cbrt.f64 (sin.f64 re)) (*.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (.f64 1/2 (exp.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2)) (cbrt.f64 (sin.f64 re)) (*.f64 0 (sin.f64 re)))
(fma.f64 (.f64 (.f64 1/2 (exp.f64 im)) (sqrt.f64 (sin.f64 re))) (sqrt.f64 (sin.f64 re)) (*.f64 (sin.f64 re) 0))
(fma.f64 (.f64 (.f64 1/2 (exp.f64 im)) (sqrt.f64 (sin.f64 re))) (sqrt.f64 (sin.f64 re)) (*.f64 0 (sin.f64 re)))
(-.f64 (sin.f64 re) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(*.f64 (+.f64 (sin.f64 re) -1) 1)
(*.f64 (+.f64 (sin.f64 re) -1) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 (sin.f64 re) -1))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2) (cbrt.f64 (+.f64 (sin.f64 re) -1)))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) (sqrt.f64 (+.f64 (sin.f64 re) -1)))
(.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (.f64 (sin.f64 re) -1)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 re)) 1) (-.f64 (sqrt.f64 (sin.f64 re)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))) (+.f64 -1 (pow.f64 (sin.f64 re) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 1 (-.f64 (pow.f64 (sin.f64 re) 2) (*.f64 (sin.f64 re) -1))))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (+.f64 (sin.f64 re) 1))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 re) 2)) (-.f64 -1 (sin.f64 re)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1)) (neg.f64 (+.f64 (sin.f64 re) 1)))
(pow.f64 (+.f64 (sin.f64 re) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))) (+.f64 -1 (pow.f64 (sin.f64 re) 3))) -1)
(pow.f64 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 re) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3))
(expm1.f64 (log.f64 (sin.f64 re)))
(exp.f64 (log.f64 (+.f64 (sin.f64 re) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (sin.f64 re) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 re) -1)))
(fma.f64 (sin.f64 re) 1 -1)
(fma.f64 1 (sin.f64 re) -1)
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (cbrt.f64 (sin.f64 re)) -1)
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) -1)
(+.f64 0 (*.f64 re (pow.f64 im 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (pow.f64 im 2)))) 1)
(pow.f64 (*.f64 re (pow.f64 im 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 re (pow.f64 im 2))) 3)
(pow.f64 (pow.f64 (*.f64 re (pow.f64 im 2)) 3) 1/3)
(pow.f64 (*.f64 im (sqrt.f64 re)) 2)
(sqrt.f64 (pow.f64 (*.f64 im (sqrt.f64 re)) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 re (pow.f64 im 2)))))
(cbrt.f64 (pow.f64 (*.f64 re (pow.f64 im 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 re 3) (pow.f64 im 6)))
(cbrt.f64 (*.f64 (pow.f64 im 6) (pow.f64 re 3)))
(expm1.f64 (log1p.f64 (*.f64 re (pow.f64 im 2))))
(exp.f64 (fma.f64 2 (log.f64 im) (log.f64 re)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 im) (log.f64 re)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 im) (log.f64 re)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 re (pow.f64 im 2)))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 im) (log.f64 re))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 re))) 2))
(log1p.f64 (expm1.f64 (*.f64 re (pow.f64 im 2))))

Outputs
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 (exp.f64 im) (.f64 1/2 re))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (exp.f64 im))) (.f64 1/2 (.f64 re (exp.f64 im))))
(fma.f64 -1/12 (.f64 (exp.f64 im) (pow.f64 re 3)) (.f64 1/2 (*.f64 re (exp.f64 im))))
(.f64 (exp.f64 im) (+.f64 (.f64 1/2 re) (*.f64 -1/12 (pow.f64 re 3))))
(.f64 (exp.f64 im) (fma.f64 1/2 re (.f64 -1/12 (pow.f64 re 3))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (exp.f64 im))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (exp.f64 im))) (.f64 1/2 (.f64 re (exp.f64 im)))))
(fma.f64 -1/12 (.f64 (exp.f64 im) (pow.f64 re 3)) (fma.f64 1/240 (.f64 (exp.f64 im) (pow.f64 re 5)) (.f64 1/2 (.f64 re (exp.f64 im)))))
(fma.f64 -1/12 (.f64 (exp.f64 im) (pow.f64 re 3)) (.f64 (exp.f64 im) (+.f64 (.f64 1/2 re) (.f64 1/240 (pow.f64 re 5)))))
(.f64 (exp.f64 im) (+.f64 (fma.f64 1/2 re (.f64 1/240 (pow.f64 re 5))) (*.f64 -1/12 (pow.f64 re 3))))
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(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (+.f64 (sin.f64 re) 1) 1))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 1 (-.f64 (pow.f64 (sin.f64 re) 2) (*.f64 (sin.f64 re) -1))))
(.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (.f64 (sin.f64 re) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 1 (+.f64 (sin.f64 re) (pow.f64 (sin.f64 re) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (+.f64 (sin.f64 re) 1) 1))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (+.f64 (sin.f64 re) 1))
(-.f64 (/.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (+.f64 (sin.f64 re) 1))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 re) 2)) (-.f64 -1 (sin.f64 re)))
(-.f64 (/.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (+.f64 (sin.f64 re) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1)))))
(.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (.f64 (sin.f64 re) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 1 (+.f64 (sin.f64 re) (pow.f64 (sin.f64 re) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (+.f64 (sin.f64 re) 1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1)) (neg.f64 (+.f64 (sin.f64 re) 1)))
(-.f64 (/.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (+.f64 (sin.f64 re) 1))
(pow.f64 (+.f64 (sin.f64 re) -1) 1)
(+.f64 (sin.f64 re) -1)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 3)
(+.f64 (sin.f64 re) -1)
(pow.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3) 1/3)
(+.f64 (sin.f64 re) -1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) 2)
(+.f64 (sin.f64 re) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))) (+.f64 -1 (pow.f64 (sin.f64 re) 3))) -1)
(.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (.f64 (sin.f64 re) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 1 (+.f64 (sin.f64 re) (pow.f64 (sin.f64 re) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (+.f64 (sin.f64 re) 1) 1))
(pow.f64 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)) -1)
(-.f64 (/.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (+.f64 (sin.f64 re) 1))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 2))
(+.f64 (sin.f64 re) -1)
(log.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))
(+.f64 (sin.f64 re) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 re) -1))))
(+.f64 (sin.f64 re) -1)
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3))
(+.f64 (sin.f64 re) -1)
(expm1.f64 (log.f64 (sin.f64 re)))
(+.f64 (sin.f64 re) -1)
(exp.f64 (log.f64 (+.f64 (sin.f64 re) -1)))
(+.f64 (sin.f64 re) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1))
(+.f64 (sin.f64 re) -1)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1) 1))
(+.f64 (sin.f64 re) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1))) 3))
(+.f64 (sin.f64 re) -1)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (sin.f64 re) -1))) 1/3))
(+.f64 (sin.f64 re) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1))) 2))
(+.f64 (sin.f64 re) -1)
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 re) -1)))
(+.f64 (sin.f64 re) -1)
(fma.f64 (sin.f64 re) 1 -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 1 (sin.f64 re) -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2) -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (cbrt.f64 (sin.f64 re)) -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) -1)
(+.f64 (sin.f64 re) -1)
(+.f64 0 (*.f64 re (pow.f64 im 2)))
(*.f64 re (pow.f64 im 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))))
(*.f64 re (pow.f64 im 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (pow.f64 im 2)))) 1)
(*.f64 re (pow.f64 im 2))
(pow.f64 (*.f64 re (pow.f64 im 2)) 1)
(*.f64 re (pow.f64 im 2))
(pow.f64 (cbrt.f64 (*.f64 re (pow.f64 im 2))) 3)
(*.f64 re (pow.f64 im 2))
(pow.f64 (pow.f64 (*.f64 re (pow.f64 im 2)) 3) 1/3)
(*.f64 re (pow.f64 im 2))
(pow.f64 (*.f64 im (sqrt.f64 re)) 2)
(*.f64 re (pow.f64 im 2))
(sqrt.f64 (pow.f64 (*.f64 im (sqrt.f64 re)) 4))
(*.f64 re (pow.f64 im 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im 2)) re))
(*.f64 re (pow.f64 im 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 re (pow.f64 im 2)))))
(*.f64 re (pow.f64 im 2))
(cbrt.f64 (pow.f64 (*.f64 re (pow.f64 im 2)) 3))
(*.f64 re (pow.f64 im 2))
(cbrt.f64 (*.f64 (pow.f64 re 3) (pow.f64 im 6)))
(*.f64 re (pow.f64 im 2))
(cbrt.f64 (*.f64 (pow.f64 im 6) (pow.f64 re 3)))
(*.f64 re (pow.f64 im 2))
(expm1.f64 (log1p.f64 (*.f64 re (pow.f64 im 2))))
(*.f64 re (pow.f64 im 2))
(exp.f64 (fma.f64 2 (log.f64 im) (log.f64 re)))
(*.f64 re (pow.f64 im 2))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 im) (log.f64 re)) 1))
(*.f64 re (pow.f64 im 2))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 im) (log.f64 re)) 1) 1))
(*.f64 re (pow.f64 im 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 re (pow.f64 im 2)))) 3))
(*.f64 re (pow.f64 im 2))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 im) (log.f64 re))) 1/3))
(*.f64 re (pow.f64 im 2))
(exp.f64 (.f64 (log.f64 (.f64 im (sqrt.f64 re))) 2))
(*.f64 re (pow.f64 im 2))
(log1p.f64 (expm1.f64 (*.f64 re (pow.f64 im 2))))
(*.f64 re (pow.f64 im 2))

eval54.0ms (0.9%)

Compiler: Compiled 2266 to 1420 computations (37.3% saved)

prune203.0ms (3.5%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	158	7	165
Fresh	4	5	9
Picked	3	2	5
Done	1	5	6
Total	166	19	185

Accuracy

100.0%

Counts

185 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.4%	(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
▶	3.6%	(-.f64 (sin.f64 re) 1)
▶	2.0%	(-.f64 re 1)
✓	74.8%	(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
✓	74.8%	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
✓	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	11.8%	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 im) 1/2))
▶	39.9%	(.f64 (exp.f64 im) (.f64 1/2 re))
	14.0%	(*.f64 1/2 (pow.f64 re -2))
	5.2%	(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
✓	47.0%	(.f64 1/2 (+.f64 (.f64 2 re) (*.f64 (pow.f64 im 2) re)))
▶	29.4%	(*.f64 1/2 (+.f64 re re))
▶	58.7%	(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
	47.0%	(.f64 1/2 (.f64 re (fma.f64 im im 2)))
✓	62.6%	(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
	2.9%	(*.f64 1/2 (neg.f64 re))
✓	7.1%	(*.f64 1/2 re)
✓	51.6%	(sin.f64 re)
	4.1%	-1
	11.4%	(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
▶	3.6%	(-.f64 (sin.f64 re) 1)
▶	2.0%	(-.f64 re 1)
✓	74.8%	(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
✓	74.8%	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
✓	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	11.8%	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 im) 1/2))
▶	39.9%	(.f64 (exp.f64 im) (.f64 1/2 re))
	14.0%	(*.f64 1/2 (pow.f64 re -2))
	5.2%	(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
✓	47.0%	(.f64 1/2 (+.f64 (.f64 2 re) (*.f64 (pow.f64 im 2) re)))
▶	29.4%	(*.f64 1/2 (+.f64 re re))
▶	58.7%	(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
	47.0%	(.f64 1/2 (.f64 re (fma.f64 im im 2)))
✓	62.6%	(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
	2.9%	(*.f64 1/2 (neg.f64 re))
✓	7.1%	(*.f64 1/2 re)
✓	51.6%	(sin.f64 re)
	4.1%	-1

Compiler

Compiled 508 to 388 computations (23.6% saved)

localize79.0ms (1.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (exp.f64 im) (.f64 1/2 re))
✓	99.5%	(-.f64 (sin.f64 re) 1)
✓	100.0%	(*.f64 (exp.f64 im) (sin.f64 re))

Compiler

Compiled 59 to 25 computations (57.6% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(.f64 (exp.f64 im) (.f64 1/2 re))
1.0ms	im	@	inf	(.f64 (exp.f64 im) (.f64 1/2 re))
0.0ms	re	@	inf	(.f64 (exp.f64 im) (.f64 1/2 re))
0.0ms	im	@	-inf	(.f64 (exp.f64 im) (.f64 1/2 re))
0.0ms	re	@	0	(*.f64 (exp.f64 im) (sin.f64 re))

rewrite116.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`log-prod`
778×	`log1p-expm1-u`
778×	`expm1-log1p-u`
642×	`pow-prod-down`
420×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	183	58
2	2171	58

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs
(*.f64 (exp.f64 im) (sin.f64 re))
(-.f64 (sin.f64 re) 1)
(.f64 (exp.f64 im) (.f64 1/2 re))

Outputs
(+.f64 0 (*.f64 (exp.f64 im) (sin.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 im) (sin.f64 re)))) 1)
(pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 im) (sin.f64 re))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 im) (sin.f64 re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 im) (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 im) (sin.f64 re))))
(exp.f64 (+.f64 im (log.f64 (sin.f64 re))))
(exp.f64 (*.f64 (+.f64 im (log.f64 (sin.f64 re))) 1))
(exp.f64 (.f64 (.f64 (+.f64 im (log.f64 (sin.f64 re))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (+.f64 im (log.f64 (sin.f64 re)))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 im (log.f64 (sin.f64 re)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (+.f64 im (log.f64 (sin.f64 re)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 im) (sin.f64 re))))
(+.f64 (sin.f64 re) -1)
(+.f64 (sin.f64 re) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 (sin.f64 re) -1))
(+.f64 -1 (sin.f64 re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1))) (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))))
(*.f64 1 (+.f64 (sin.f64 re) -1))
(*.f64 (+.f64 (sin.f64 re) -1) 1)
(*.f64 (+.f64 (sin.f64 re) -1) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2) (cbrt.f64 (+.f64 (sin.f64 re) -1)))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) (sqrt.f64 (+.f64 (sin.f64 re) -1)))
(*.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(*.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 re)) 1) (-.f64 (sqrt.f64 (sin.f64 re)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (+.f64 (pow.f64 (sin.f64 re) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1) (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1) (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (+.f64 (sin.f64 re) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1)) (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1)) (neg.f64 (+.f64 (sin.f64 re) 1)))
(pow.f64 (+.f64 (sin.f64 re) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (+.f64 (pow.f64 (sin.f64 re) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 re) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3))
(expm1.f64 (log.f64 (sin.f64 re)))
(exp.f64 (log.f64 (+.f64 (sin.f64 re) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (sin.f64 re) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 re) -1)))
(fma.f64 (sin.f64 re) 1 -1)
(fma.f64 1 (sin.f64 re) -1)
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (cbrt.f64 (sin.f64 re)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (*.f64 (cbrt.f64 (sin.f64 re)) 1) -1)
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) -1)
(fma.f64 (sqrt.f64 (sin.f64 re)) (*.f64 (sqrt.f64 (sin.f64 re)) 1) -1)
(+.f64 0 (.f64 (exp.f64 im) (.f64 re 1/2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 im) (.f64 re 1/2)))) 1)
(pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (exp.f64 im) (.f64 re 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (exp.f64 im) (.f64 re 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 im)) (*.f64 re 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 im) (.f64 re 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 im) (.f64 re 1/2))))
(exp.f64 (+.f64 im (log.f64 (*.f64 re 1/2))))
(exp.f64 (.f64 (+.f64 im (log.f64 (.f64 re 1/2))) 1))
(exp.f64 (.f64 (.f64 (+.f64 im (log.f64 (*.f64 re 1/2))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (+.f64 im (log.f64 (*.f64 re 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 im (log.f64 (*.f64 re 1/2)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (+.f64 im (log.f64 (*.f64 re 1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 im) (.f64 re 1/2))))

simplify189.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1108×	`distribute-lft-in`
1076×	`distribute-rgt-in`
946×	`unswap-sqr`
600×	`prod-exp`
592×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	3444
1	658	3224
2	2034	3039
3	7317	3015

Stop Event

1×	node limit

Counts

126 → 153

Calls

Call 1

Inputs
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 im (sin.f64 re)))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))) (*.f64 im (sin.f64 re))))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/6 (.f64 (pow.f64 im 3) (sin.f64 re))) (+.f64 (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))) (*.f64 im (sin.f64 re)))))
(*.f64 re (exp.f64 im))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (exp.f64 im))) (*.f64 re (exp.f64 im)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (exp.f64 im))) (+.f64 (.f64 1/120 (.f64 (pow.f64 re 5) (exp.f64 im))) (*.f64 re (exp.f64 im))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (exp.f64 im))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 re 7) (exp.f64 im))) (+.f64 (.f64 1/120 (.f64 (pow.f64 re 5) (exp.f64 im))) (*.f64 re (exp.f64 im)))))
-1
(-.f64 re 1)
(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
(-.f64 (+.f64 re (+.f64 (.f64 -1/6 (pow.f64 re 3)) (.f64 1/120 (pow.f64 re 5)))) 1)
(*.f64 1/2 re)
(+.f64 (.f64 1/2 re) (.f64 1/2 (*.f64 im re)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/2 re) (.f64 1/2 (*.f64 im re))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 im 3) re)) (+.f64 (.f64 1/4 (.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/2 re) (.f64 1/2 (*.f64 im re)))))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(+.f64 0 (*.f64 (exp.f64 im) (sin.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 im) (sin.f64 re)))) 1)
(pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 im) (sin.f64 re))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 im) (sin.f64 re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 im) (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 im) (sin.f64 re))))
(exp.f64 (+.f64 im (log.f64 (sin.f64 re))))
(exp.f64 (*.f64 (+.f64 im (log.f64 (sin.f64 re))) 1))
(exp.f64 (.f64 (.f64 (+.f64 im (log.f64 (sin.f64 re))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (+.f64 im (log.f64 (sin.f64 re)))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 im (log.f64 (sin.f64 re)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (+.f64 im (log.f64 (sin.f64 re)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 im) (sin.f64 re))))
(+.f64 (sin.f64 re) -1)
(+.f64 (sin.f64 re) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 (sin.f64 re) -1))
(+.f64 -1 (sin.f64 re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1))) (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))))
(*.f64 1 (+.f64 (sin.f64 re) -1))
(*.f64 (+.f64 (sin.f64 re) -1) 1)
(*.f64 (+.f64 (sin.f64 re) -1) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2) (cbrt.f64 (+.f64 (sin.f64 re) -1)))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) (sqrt.f64 (+.f64 (sin.f64 re) -1)))
(*.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(*.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 re)) 1) (-.f64 (sqrt.f64 (sin.f64 re)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (+.f64 (pow.f64 (sin.f64 re) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1) (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1) (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (+.f64 (sin.f64 re) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1)) (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1)) (neg.f64 (+.f64 (sin.f64 re) 1)))
(pow.f64 (+.f64 (sin.f64 re) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (+.f64 (pow.f64 (sin.f64 re) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 re) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3))
(expm1.f64 (log.f64 (sin.f64 re)))
(exp.f64 (log.f64 (+.f64 (sin.f64 re) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (sin.f64 re) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 re) -1)))
(fma.f64 (sin.f64 re) 1 -1)
(fma.f64 1 (sin.f64 re) -1)
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (cbrt.f64 (sin.f64 re)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (*.f64 (cbrt.f64 (sin.f64 re)) 1) -1)
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) -1)
(fma.f64 (sqrt.f64 (sin.f64 re)) (*.f64 (sqrt.f64 (sin.f64 re)) 1) -1)
(+.f64 0 (.f64 (exp.f64 im) (.f64 re 1/2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 im) (.f64 re 1/2)))) 1)
(pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (exp.f64 im) (.f64 re 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (exp.f64 im) (.f64 re 1/2))) 2)
(sqrt.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 im)) (*.f64 re 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 im) (.f64 re 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 im) (.f64 re 1/2))))
(exp.f64 (+.f64 im (log.f64 (*.f64 re 1/2))))
(exp.f64 (.f64 (+.f64 im (log.f64 (.f64 re 1/2))) 1))
(exp.f64 (.f64 (.f64 (+.f64 im (log.f64 (*.f64 re 1/2))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (+.f64 im (log.f64 (*.f64 re 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 im (log.f64 (*.f64 re 1/2)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (+.f64 im (log.f64 (*.f64 re 1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 im) (.f64 re 1/2))))

Outputs
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 im (sin.f64 re)))
(*.f64 (+.f64 im 1) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 im 1))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))) (*.f64 im (sin.f64 re))))
(+.f64 (sin.f64 re) (fma.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)) (.f64 (sin.f64 re) im)))
(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (+.f64 (.f64 1/2 (pow.f64 im 2)) im)))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 im 1)))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/6 (.f64 (pow.f64 im 3) (sin.f64 re))) (+.f64 (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))) (*.f64 im (sin.f64 re)))))
(+.f64 (sin.f64 re) (fma.f64 1/6 (.f64 (sin.f64 re) (pow.f64 im 3)) (fma.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)) (*.f64 (sin.f64 re) im))))
(+.f64 (.f64 (sin.f64 re) (+.f64 (.f64 1/2 (pow.f64 im 2)) im)) (.f64 (+.f64 (.f64 1/6 (pow.f64 im 3)) 1) (sin.f64 re)))
(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 2) (+.f64 (*.f64 im 1/6) 1/2)) (+.f64 im 1)))
(*.f64 re (exp.f64 im))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (exp.f64 im))) (*.f64 re (exp.f64 im)))
(fma.f64 -1/6 (.f64 (exp.f64 im) (pow.f64 re 3)) (.f64 re (exp.f64 im)))
(*.f64 (exp.f64 im) (fma.f64 -1/6 (pow.f64 re 3) re))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (exp.f64 im))) (+.f64 (.f64 1/120 (.f64 (pow.f64 re 5) (exp.f64 im))) (*.f64 re (exp.f64 im))))
(fma.f64 -1/6 (.f64 (exp.f64 im) (pow.f64 re 3)) (fma.f64 1/120 (.f64 (exp.f64 im) (pow.f64 re 5)) (*.f64 re (exp.f64 im))))
(+.f64 (.f64 (exp.f64 im) (fma.f64 -1/6 (pow.f64 re 3) re)) (.f64 (exp.f64 im) (*.f64 1/120 (pow.f64 re 5))))
(.f64 (exp.f64 im) (+.f64 (fma.f64 -1/6 (pow.f64 re 3) re) (.f64 1/120 (pow.f64 re 5))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (exp.f64 im))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 re 7) (exp.f64 im))) (+.f64 (.f64 1/120 (.f64 (pow.f64 re 5) (exp.f64 im))) (*.f64 re (exp.f64 im)))))
(fma.f64 -1/6 (.f64 (exp.f64 im) (pow.f64 re 3)) (fma.f64 -1/5040 (.f64 (exp.f64 im) (pow.f64 re 7)) (fma.f64 1/120 (.f64 (exp.f64 im) (pow.f64 re 5)) (.f64 re (exp.f64 im)))))
(+.f64 (.f64 (exp.f64 im) (+.f64 (.f64 -1/5040 (pow.f64 re 7)) (.f64 1/120 (pow.f64 re 5)))) (.f64 (exp.f64 im) (fma.f64 -1/6 (pow.f64 re 3) re)))
(.f64 (exp.f64 im) (+.f64 (+.f64 (.f64 1/120 (pow.f64 re 5)) (*.f64 -1/5040 (pow.f64 re 7))) (fma.f64 -1/6 (pow.f64 re 3) re)))
-1
(-.f64 re 1)
(+.f64 re -1)
(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
(+.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) -1)
(+.f64 re (fma.f64 -1/6 (pow.f64 re 3) -1))
(-.f64 (+.f64 re (+.f64 (.f64 -1/6 (pow.f64 re 3)) (.f64 1/120 (pow.f64 re 5)))) 1)
(+.f64 re (-.f64 (fma.f64 -1/6 (pow.f64 re 3) (*.f64 1/120 (pow.f64 re 5))) 1))
(+.f64 re (+.f64 (*.f64 1/120 (pow.f64 re 5)) (fma.f64 -1/6 (pow.f64 re 3) -1)))
(+.f64 (fma.f64 -1/6 (pow.f64 re 3) re) (fma.f64 1/120 (pow.f64 re 5) -1))
(*.f64 1/2 re)
(*.f64 re 1/2)
(+.f64 (.f64 1/2 re) (.f64 1/2 (*.f64 im re)))
(.f64 1/2 (+.f64 re (.f64 re im)))
(.f64 1/2 (.f64 (+.f64 im 1) re))
(.f64 (+.f64 im 1) (.f64 re 1/2))
(+.f64 (.f64 1/4 (.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/2 re) (.f64 1/2 (*.f64 im re))))
(fma.f64 1/4 (.f64 re (pow.f64 im 2)) (.f64 1/2 (+.f64 re (*.f64 re im))))
(fma.f64 1/4 (.f64 re (pow.f64 im 2)) (.f64 1/2 (*.f64 (+.f64 im 1) re)))
(.f64 re (+.f64 (.f64 im 1/2) (+.f64 1/2 (*.f64 (pow.f64 im 2) 1/4))))
(+.f64 (.f64 1/12 (.f64 (pow.f64 im 3) re)) (+.f64 (.f64 1/4 (.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/2 re) (.f64 1/2 (*.f64 im re)))))
(fma.f64 1/12 (.f64 re (pow.f64 im 3)) (fma.f64 1/4 (.f64 re (pow.f64 im 2)) (.f64 1/2 (+.f64 re (.f64 re im)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 im 1) re)) (.f64 re (+.f64 (.f64 (pow.f64 im 3) 1/12) (*.f64 (pow.f64 im 2) 1/4))))
(.f64 re (+.f64 (+.f64 1/2 (.f64 im 1/2)) (.f64 (pow.f64 im 2) (+.f64 (.f64 im 1/12) 1/4))))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(+.f64 0 (*.f64 (exp.f64 im) (sin.f64 re)))
(*.f64 (sin.f64 re) (exp.f64 im))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))))
(*.f64 (sin.f64 re) (exp.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 im) (sin.f64 re)))) 1)
(*.f64 (sin.f64 re) (exp.f64 im))
(pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 1)
(*.f64 (sin.f64 re) (exp.f64 im))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 im) (sin.f64 re))) 3)
(*.f64 (sin.f64 re) (exp.f64 im))
(pow.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 2) 1/2)
(*.f64 (sin.f64 re) (exp.f64 im))
(pow.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 3) 1/3)
(*.f64 (sin.f64 re) (exp.f64 im))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 im) (sin.f64 re))) 2)
(*.f64 (sin.f64 re) (exp.f64 im))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 2))
(*.f64 (sin.f64 re) (exp.f64 im))
(log.f64 (pow.f64 (exp.f64 (exp.f64 im)) (sin.f64 re)))
(*.f64 (sin.f64 re) (exp.f64 im))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 im) (sin.f64 re)))))
(*.f64 (sin.f64 re) (exp.f64 im))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) 3))
(*.f64 (sin.f64 re) (exp.f64 im))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 im) (sin.f64 re))))
(*.f64 (sin.f64 re) (exp.f64 im))
(exp.f64 (+.f64 im (log.f64 (sin.f64 re))))
(*.f64 (sin.f64 re) (exp.f64 im))
(exp.f64 (*.f64 (+.f64 im (log.f64 (sin.f64 re))) 1))
(*.f64 (sin.f64 re) (exp.f64 im))
(exp.f64 (.f64 (.f64 (+.f64 im (log.f64 (sin.f64 re))) 1) 1))
(*.f64 (sin.f64 re) (exp.f64 im))
(exp.f64 (.f64 (.f64 1/3 (+.f64 im (log.f64 (sin.f64 re)))) 3))
(*.f64 (sin.f64 re) (exp.f64 im))
(exp.f64 (.f64 (.f64 3 (+.f64 im (log.f64 (sin.f64 re)))) 1/3))
(*.f64 (sin.f64 re) (exp.f64 im))
(exp.f64 (.f64 (.f64 1/2 (+.f64 im (log.f64 (sin.f64 re)))) 2))
(*.f64 (sin.f64 re) (exp.f64 im))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 im) (sin.f64 re))))
(*.f64 (sin.f64 re) (exp.f64 im))
(+.f64 (sin.f64 re) -1)
(+.f64 (sin.f64 re) (log.f64 (exp.f64 -1)))
(+.f64 (sin.f64 re) -1)
(+.f64 0 (+.f64 (sin.f64 re) -1))
(+.f64 (sin.f64 re) -1)
(+.f64 -1 (sin.f64 re))
(+.f64 (sin.f64 re) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1))) (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))))
(+.f64 (sin.f64 re) -1)
(*.f64 1 (+.f64 (sin.f64 re) -1))
(+.f64 (sin.f64 re) -1)
(*.f64 (+.f64 (sin.f64 re) -1) 1)
(+.f64 (sin.f64 re) -1)
(*.f64 (+.f64 (sin.f64 re) -1) (log.f64 (exp.f64 1)))
(+.f64 (sin.f64 re) -1)
(*.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2))
(+.f64 (sin.f64 re) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 2) (cbrt.f64 (+.f64 (sin.f64 re) -1)))
(+.f64 (sin.f64 re) -1)
(*.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) (sqrt.f64 (+.f64 (sin.f64 re) -1)))
(+.f64 (sin.f64 re) -1)
(*.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (sin.f64 re) (+.f64 1 (pow.f64 (sin.f64 re) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (-.f64 -1 (sin.f64 re)) -1))
(*.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (+.f64 (sin.f64 re) 1))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 re)) 1) (-.f64 (sqrt.f64 (sin.f64 re)) 1))
(+.f64 (sin.f64 re) -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (+.f64 (pow.f64 (sin.f64 re) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (sin.f64 re) (+.f64 1 (pow.f64 (sin.f64 re) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (-.f64 -1 (sin.f64 re)) -1))
(/.f64 1 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (+.f64 (sin.f64 re) 1))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1) (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)))
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (sin.f64 re) (+.f64 1 (pow.f64 (sin.f64 re) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (-.f64 -1 (sin.f64 re)) -1))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1) (+.f64 (pow.f64 (sin.f64 re) 2) (-.f64 1 (*.f64 (sin.f64 re) -1))))
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (sin.f64 re) (+.f64 1 (pow.f64 (sin.f64 re) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (-.f64 -1 (sin.f64 re)) -1))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1) (+.f64 (sin.f64 re) 1))
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (+.f64 (sin.f64 re) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 3) -1)) (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (sin.f64 re) (+.f64 1 (pow.f64 (sin.f64 re) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (-.f64 -1 (sin.f64 re)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 re) 2) -1)) (neg.f64 (+.f64 (sin.f64 re) 1)))
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (+.f64 (sin.f64 re) 1))
(pow.f64 (+.f64 (sin.f64 re) -1) 1)
(+.f64 (sin.f64 re) -1)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1)) 3)
(+.f64 (sin.f64 re) -1)
(pow.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 2) 1/2)
(+.f64 (sin.f64 re) -1)
(pow.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3) 1/3)
(+.f64 (sin.f64 re) -1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1)) 2)
(+.f64 (sin.f64 re) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)) (+.f64 (pow.f64 (sin.f64 re) 3) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (sin.f64 re) (+.f64 1 (pow.f64 (sin.f64 re) 2))))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 3)) (+.f64 (pow.f64 (sin.f64 re) 2) (+.f64 (sin.f64 re) 1)))
(/.f64 (-.f64 1 (pow.f64 (sin.f64 re) 3)) (fma.f64 (sin.f64 re) (-.f64 -1 (sin.f64 re)) -1))
(pow.f64 (/.f64 (+.f64 (sin.f64 re) 1) (+.f64 (pow.f64 (sin.f64 re) 2) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (/.f64 1 (+.f64 (sin.f64 re) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sin.f64 re) 2)) (+.f64 (sin.f64 re) 1))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 2))
(+.f64 (sin.f64 re) -1)
(log.f64 (exp.f64 (+.f64 (sin.f64 re) -1)))
(+.f64 (sin.f64 re) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 re) -1))))
(+.f64 (sin.f64 re) -1)
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 re) -1) 3))
(+.f64 (sin.f64 re) -1)
(expm1.f64 (log.f64 (sin.f64 re)))
(+.f64 (sin.f64 re) -1)
(exp.f64 (log.f64 (+.f64 (sin.f64 re) -1)))
(+.f64 (sin.f64 re) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1))
(+.f64 (sin.f64 re) -1)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (sin.f64 re) -1)) 1) 1))
(+.f64 (sin.f64 re) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 re) -1))) 3))
(+.f64 (sin.f64 re) -1)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (sin.f64 re) -1))) 1/3))
(+.f64 (sin.f64 re) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 re) -1))) 2))
(+.f64 (sin.f64 re) -1)
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 re) -1)))
(+.f64 (sin.f64 re) -1)
(fma.f64 (sin.f64 re) 1 -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 1 (sin.f64 re) -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) 2) -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (cbrt.f64 (sin.f64 re)) -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) 2) (*.f64 (cbrt.f64 (sin.f64 re)) 1) -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) -1)
(+.f64 (sin.f64 re) -1)
(fma.f64 (sqrt.f64 (sin.f64 re)) (*.f64 (sqrt.f64 (sin.f64 re)) 1) -1)
(+.f64 (sin.f64 re) -1)
(+.f64 0 (.f64 (exp.f64 im) (.f64 re 1/2)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (*.f64 re 1/2)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 im)) (.f64 re 1/2)))))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 im) (.f64 re 1/2)))) 1)
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 1)
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(pow.f64 (cbrt.f64 (.f64 (exp.f64 im) (.f64 re 1/2))) 3)
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(pow.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 2) 1/2)
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(pow.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 3) 1/3)
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(pow.f64 (sqrt.f64 (.f64 (exp.f64 im) (.f64 re 1/2))) 2)
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(sqrt.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 2))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 im)) (*.f64 re 1/2)))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 im) (.f64 re 1/2)))))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 re 1/2)) 3))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 im) (.f64 re 1/2))))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(exp.f64 (+.f64 im (log.f64 (*.f64 re 1/2))))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(exp.f64 (.f64 (+.f64 im (log.f64 (.f64 re 1/2))) 1))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(exp.f64 (.f64 (.f64 (+.f64 im (log.f64 (*.f64 re 1/2))) 1) 1))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(exp.f64 (.f64 (.f64 1/3 (+.f64 im (log.f64 (*.f64 re 1/2)))) 3))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(exp.f64 (.f64 (.f64 3 (+.f64 im (log.f64 (*.f64 re 1/2)))) 1/3))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(exp.f64 (.f64 (.f64 1/2 (+.f64 im (log.f64 (*.f64 re 1/2)))) 2))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 im) (.f64 re 1/2))))
(.f64 1/2 (.f64 re (exp.f64 im)))
(.f64 re (.f64 1/2 (exp.f64 im)))

eval47.0ms (0.8%)

Compiler: Compiled 1839 to 1145 computations (37.7% saved)

prune34.0ms (0.6%)

Pruning

20 alts after pruning (8 fresh and 12 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	7	7
Picked	0	5	5
Done	0	7	7
Total	152	20	172

Accuracy

100.0%

Counts

172 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.4%	(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
✓	3.6%	(-.f64 (sin.f64 re) 1)
✓	2.0%	(-.f64 re 1)
✓	74.8%	(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
✓	74.8%	(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
✓	100.0%	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	11.8%	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 im) 1/2))
✓	39.9%	(.f64 (exp.f64 im) (.f64 1/2 re))
	14.0%	(*.f64 1/2 (pow.f64 re -2))
	5.2%	(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
✓	47.0%	(.f64 1/2 (+.f64 (.f64 2 re) (*.f64 (pow.f64 im 2) re)))
	11.2%	(.f64 1/2 (+.f64 re (.f64 re im)))
✓	29.4%	(*.f64 1/2 (+.f64 re re))
✓	58.7%	(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
	47.0%	(.f64 1/2 (.f64 re (fma.f64 im im 2)))
✓	62.6%	(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
	2.9%	(*.f64 1/2 (neg.f64 re))
✓	7.1%	(*.f64 1/2 re)
✓	51.6%	(sin.f64 re)
	4.1%	-1

Compiler

Compiled 380 to 258 computations (32.1% saved)

regimes92.0ms (1.6%)

Counts

30 → 1

Calls

Call 1

Inputs
-1
(*.f64 1/2 re)
(-.f64 re 1)
(*.f64 1/2 (neg.f64 re))
(*.f64 1/2 (+.f64 re re))
(*.f64 1/2 (/.f64 re -2))
(.f64 1/2 (+.f64 re (.f64 re im)))
(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
(sin.f64 re)
(*.f64 2 (sin.f64 re))
(-.f64 (sin.f64 re) 1)
(*.f64 1/2 (pow.f64 re -2))
(.f64 (exp.f64 im) (.f64 1/2 re))
(+.f64 (sin.f64 re) (*.f64 1/2 -2))
(+.f64 (sin.f64 re) (*.f64 1/2 8))
(.f64 1/2 (.f64 re (fma.f64 im im 2)))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 im) 1/2))
(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
(.f64 1/2 (+.f64 (.f64 2 re) (*.f64 (pow.f64 im 2) re)))
(*.f64 1/2 (log1p.f64 (expm1.f64 re)))
(.f64 1/2 (exp.f64 (.f64 (log.f64 re) -2)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 (pow.f64 im 2) (.f64 1/2 (sin.f64 re)))
(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (pow.f64 im 2) (sin.f64 re))))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

Outputs
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Calls

6 calls:

18.0ms	re
18.0ms	(*.f64 1/2 (sin.f64 re))
16.0ms	(sin.f64 re)
16.0ms	im
13.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))`
100.0%	1	`(*.f64 1/2 (sin.f64 re))`
100.0%	1	`(sin.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))`

Compiler

Compiled 246 to 157 computations (36.2% saved)

regimes215.0ms (3.7%)

Counts

26 → 2

Calls

Call 1

Inputs
-1
(*.f64 1/2 re)
(-.f64 re 1)
(*.f64 1/2 (neg.f64 re))
(*.f64 1/2 (+.f64 re re))
(*.f64 1/2 (/.f64 re -2))
(.f64 1/2 (+.f64 re (.f64 re im)))
(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
(sin.f64 re)
(*.f64 2 (sin.f64 re))
(-.f64 (sin.f64 re) 1)
(*.f64 1/2 (pow.f64 re -2))
(.f64 (exp.f64 im) (.f64 1/2 re))
(+.f64 (sin.f64 re) (*.f64 1/2 -2))
(+.f64 (sin.f64 re) (*.f64 1/2 8))
(.f64 1/2 (.f64 re (fma.f64 im im 2)))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 im) 1/2))
(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
(.f64 1/2 (+.f64 (.f64 2 re) (*.f64 (pow.f64 im 2) re)))
(*.f64 1/2 (log1p.f64 (expm1.f64 re)))
(.f64 1/2 (exp.f64 (.f64 (log.f64 re) -2)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 (pow.f64 im 2) (.f64 1/2 (sin.f64 re)))
(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) 0))

Outputs
(.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))

Calls

4 calls:

92.0ms	(sin.f64 re)
48.0ms	(*.f64 1/2 (sin.f64 re))
41.0ms	re
27.0ms	im

Results

Accuracy	Segments	Branch
89.3%	3	`re`
99.8%	2	`im`
88.0%	3	`(*.f64 1/2 (sin.f64 re))`
88.0%	3	`(sin.f64 re)`

Compiler

Compiled 178 to 117 computations (34.3% saved)

regimes30.0ms (0.5%)

Counts

23 → 2

Calls

Call 1

Inputs
-1
(*.f64 1/2 re)
(-.f64 re 1)
(*.f64 1/2 (neg.f64 re))
(*.f64 1/2 (+.f64 re re))
(*.f64 1/2 (/.f64 re -2))
(.f64 1/2 (+.f64 re (.f64 re im)))
(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
(sin.f64 re)
(*.f64 2 (sin.f64 re))
(-.f64 (sin.f64 re) 1)
(*.f64 1/2 (pow.f64 re -2))
(.f64 (exp.f64 im) (.f64 1/2 re))
(+.f64 (sin.f64 re) (*.f64 1/2 -2))
(+.f64 (sin.f64 re) (*.f64 1/2 8))
(.f64 1/2 (.f64 re (fma.f64 im im 2)))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 im) 1/2))
(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
(.f64 1/2 (+.f64 (.f64 2 re) (*.f64 (pow.f64 im 2) re)))
(*.f64 1/2 (log1p.f64 (expm1.f64 re)))
(.f64 1/2 (exp.f64 (.f64 (log.f64 re) -2)))
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 (pow.f64 im 2) (.f64 1/2 (sin.f64 re)))

Outputs
(sin.f64 re)
(.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re)))

Calls

1 calls:

25.0ms

im

Results

Accuracy	Segments	Branch
99.4%	2	`im`

Compiler

Compiled 138 to 92 computations (33.3% saved)

regimes105.0ms (1.8%)

Counts

21 → 2

Calls

Call 1

Inputs
-1
(*.f64 1/2 re)
(-.f64 re 1)
(*.f64 1/2 (neg.f64 re))
(*.f64 1/2 (+.f64 re re))
(*.f64 1/2 (/.f64 re -2))
(.f64 1/2 (+.f64 re (.f64 re im)))
(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
(sin.f64 re)
(*.f64 2 (sin.f64 re))
(-.f64 (sin.f64 re) 1)
(*.f64 1/2 (pow.f64 re -2))
(.f64 (exp.f64 im) (.f64 1/2 re))
(+.f64 (sin.f64 re) (*.f64 1/2 -2))
(+.f64 (sin.f64 re) (*.f64 1/2 8))
(.f64 1/2 (.f64 re (fma.f64 im im 2)))
(.f64 (sin.f64 re) (+.f64 (.f64 1/2 im) 1/2))
(-.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
(.f64 1/2 (+.f64 (.f64 2 re) (*.f64 (pow.f64 im 2) re)))
(*.f64 1/2 (log1p.f64 (expm1.f64 re)))
(.f64 1/2 (exp.f64 (.f64 (log.f64 re) -2)))

Outputs
(sin.f64 re)
(.f64 (exp.f64 im) (.f64 1/2 re))

Calls

3 calls:

55.0ms	(sin.f64 re)
24.0ms	im
22.0ms	re

Results

Accuracy	Segments	Branch
65.2%	4	`(sin.f64 re)`
62.2%	2	`re`
84.2%	2	`im`

Compiler

Compiled 130 to 89 computations (31.5% saved)

regimes18.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

Inputs
-1
(*.f64 1/2 re)
(-.f64 re 1)
(*.f64 1/2 (neg.f64 re))
(*.f64 1/2 (+.f64 re re))
(*.f64 1/2 (/.f64 re -2))
(.f64 1/2 (+.f64 re (.f64 re im)))
(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
(sin.f64 re)
(*.f64 2 (sin.f64 re))
(-.f64 (sin.f64 re) 1)
(*.f64 1/2 (pow.f64 re -2))

Outputs
(sin.f64 re)
(*.f64 1/2 (pow.f64 re -2))

Calls

1 calls:

15.0ms

im

Results

Accuracy	Segments	Branch
62.6%	2	`im`

Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes44.0ms (0.8%)

Counts

11 → 2

Calls

Call 1

Inputs
-1
(*.f64 1/2 re)
(-.f64 re 1)
(*.f64 1/2 (neg.f64 re))
(*.f64 1/2 (+.f64 re re))
(*.f64 1/2 (/.f64 re -2))
(.f64 1/2 (+.f64 re (.f64 re im)))
(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))
(sin.f64 re)
(*.f64 2 (sin.f64 re))
(-.f64 (sin.f64 re) 1)

Outputs
(sin.f64 re)
(.f64 1/2 (+.f64 re (.f64 re im)))

Calls

3 calls:

21.0ms	im
8.0ms	(sin.f64 re)
7.0ms	re

Results

Accuracy	Segments	Branch
51.6%	1	`(sin.f64 re)`
51.6%	1	`re`
55.5%	2	`im`

Compiler

Compiled 59 to 38 computations (35.6% saved)

regimes26.0ms (0.5%)

Counts

8 → 2

Calls

Call 1

Inputs
-1
(*.f64 1/2 re)
(-.f64 re 1)
(*.f64 1/2 (neg.f64 re))
(*.f64 1/2 (+.f64 re re))
(*.f64 1/2 (/.f64 re -2))
(.f64 1/2 (+.f64 re (.f64 re im)))
(*.f64 1/2 (/.f64 re (+.f64 re (-.f64 re re))))

Outputs
(*.f64 1/2 (+.f64 re re))
(.f64 1/2 (+.f64 re (.f64 re im)))

Calls

2 calls:

12.0ms	re
12.0ms	im

Results

Accuracy	Segments	Branch
33.3%	2	`re`
33.5%	2	`im`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes18.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

Inputs
-1
(*.f64 1/2 re)
(-.f64 re 1)
(*.f64 1/2 (neg.f64 re))
(*.f64 1/2 (+.f64 re re))
(*.f64 1/2 (/.f64 re -2))

Outputs
(*.f64 1/2 (+.f64 re re))
-1

Calls

2 calls:

11.0ms	re
5.0ms	im

Results

Accuracy	Segments	Branch
31.5%	2	`re`
29.4%	1	`im`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes16.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

Inputs
-1
(*.f64 1/2 re)
(-.f64 re 1)
(*.f64 1/2 (neg.f64 re))

Outputs
(*.f64 1/2 re)
-1

Calls

2 calls:

10.0ms	re
4.0ms	im

Results

Accuracy	Segments	Branch
7.1%	1	`im`
9.2%	2	`re`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

2 calls:

3.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
4.1%	1	`im`
4.1%	1	`re`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch26.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.012071665710705523	24.52166290131871

Results

23.0ms

128×

body

256

valid

Compiler

Compiled 195 to 151 computations (22.6% saved)

bsearch35.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	0.012071665710705523	24.52166290131871

Results

33.0ms

128×

body

256

valid

Compiler

Compiled 139 to 111 computations (20.1% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	24.52166290131871	702.3591185021378

Results

19.0ms

112×

body

256

valid

Compiler

Compiled 117 to 92 computations (21.4% saved)

bsearch21.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	24.52166290131871	702.3591185021378

Results

19.0ms

112×

body

256

valid

Compiler

Compiled 110 to 92 computations (16.4% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	24.52166290131871	702.3591185021378

Results

17.0ms

112×

body

256

valid

Compiler

Compiled 124 to 92 computations (25.8% saved)

bsearch25.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	24.52166290131871	702.3591185021378

Results

23.0ms

112×

body

256

valid

Compiler

Compiled 145 to 106 computations (26.9% saved)

bsearch28.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	130908332.2165504	617583918551275.0

Results

14.0ms	82×	body	256	valid
11.0ms	62×	body	256	infinite

Compiler

Compiled 127 to 105 computations (17.3% saved)

bsearch27.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	130908332.2165504	617583918551275.0

Results

14.0ms	77×	body	256	infinite
11.0ms	67×	body	256	valid

Compiler

Compiled 109 to 96 computations (11.9% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
6×	`+-commutative`
2×	`sub-neg`
2×	`neg-mul-1`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	406
1	72	406
2	74	406
3	75	406

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im 5854679515581645/4503599627370496) (.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2)) (.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re))))
(if (<=.f64 im 3152519739159347/4503599627370496) (sin.f64 re) (.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re))))
(if (<=.f64 im 25) (sin.f64 re) (.f64 (exp.f64 im) (.f64 1/2 re)))
(if (<=.f64 im 650) (sin.f64 re) (*.f64 1/2 (pow.f64 re -2)))
(if (<=.f64 im 370) (sin.f64 re) (.f64 1/2 (+.f64 re (.f64 re im))))
(if (<=.f64 im 25) (.f64 1/2 (+.f64 re re)) (.f64 1/2 (+.f64 re (*.f64 re im))))
(if (<=.f64 re 920000000000) (*.f64 1/2 (+.f64 re re)) -1)
(if (<=.f64 re 920000000000) (*.f64 1/2 re) -1)
-1

Outputs
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im 5854679515581645/4503599627370496) (.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2)) (.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re))))
(if (<=.f64 im 5854679515581645/4503599627370496) (.f64 (.f64 1/2 (sin.f64 re)) (fma.f64 im im 2)) (.f64 1/2 (.f64 (sin.f64 re) (exp.f64 im))))
(if (<=.f64 im 3152519739159347/4503599627370496) (sin.f64 re) (.f64 1/2 (.f64 (exp.f64 im) (sin.f64 re))))
(if (<=.f64 im 3152519739159347/4503599627370496) (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (exp.f64 im))))
(if (<=.f64 im 25) (sin.f64 re) (.f64 (exp.f64 im) (.f64 1/2 re)))
(if (<=.f64 im 650) (sin.f64 re) (*.f64 1/2 (pow.f64 re -2)))
(if (<=.f64 im 370) (sin.f64 re) (.f64 1/2 (+.f64 re (.f64 re im))))
(if (<=.f64 im 25) (.f64 1/2 (+.f64 re re)) (.f64 1/2 (+.f64 re (*.f64 re im))))
(if (<=.f64 re 920000000000) (*.f64 1/2 (+.f64 re re)) -1)
(if (<=.f64 re 920000000000) (*.f64 1/2 re) -1)
-1

Compiler

Compiled 135 to 97 computations (28.1% saved)

soundness1.3s (22.8%)

Rules

2266×	`fma-def`
2266×	`fma-def`
1772×	`fma-def`
1668×	`fma-def`
1666×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	316
1	111	308
2	397	308
3	1003	298
4	2231	294
5	5114	294
6	7594	294
0	36	316
1	111	308
2	397	308
3	1003	298
4	2231	294
5	5114	294
6	7594	294
0	24	115
1	341	115
2	5834	115
0	24	115
1	341	115
2	5834	115
0	138	2374
1	366	2275
2	1095	2001
3	5327	1975
0	24	115
1	341	115
2	5834	115
0	20	126
1	270	126
2	4369	126
0	310	4402
1	732	4208
2	2111	3889
0	267	3444
1	658	3224
2	2034	3039
3	7317	3015
0	24	115
1	341	115
2	5834	115
0	151	4180
1	479	3815
2	1520	3601
3	6362	3601

Stop Event

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

Compiler

Compiled 397 to 241 computations (39.3% saved)

end0.0ms (0%)

preprocess91.0ms (1.6%)

Remove

(negabs re)

(abs im)

Compiler

Compiled 418 to 276 computations (34% saved)

analyze0.0ms (0%)

sample1.7s (28.8%)

preprocess188.0ms (3.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize90.0ms (1.5%)

series14.0ms (0.2%)

rewrite142.0ms (2.4%)

simplify95.0ms (1.6%)

eval41.0ms (0.7%)

prune25.0ms (0.4%)

localize121.0ms (2.1%)

series13.0ms (0.2%)

rewrite50.0ms (0.9%)

simplify73.0ms (1.3%)

eval38.0ms (0.6%)

prune38.0ms (0.7%)

localize116.0ms (2%)

series5.0ms (0.1%)

rewrite104.0ms (1.8%)

simplify74.0ms (1.3%)

eval54.0ms (0.9%)

prune203.0ms (3.5%)

localize79.0ms (1.4%)

series5.0ms (0.1%)

rewrite116.0ms (2%)

simplify189.0ms (3.2%)

eval47.0ms (0.8%)

prune34.0ms (0.6%)

regimes92.0ms (1.6%)

regimes215.0ms (3.7%)

regimes30.0ms (0.5%)

regimes105.0ms (1.8%)

regimes18.0ms (0.3%)

regimes44.0ms (0.8%)

regimes26.0ms (0.5%)

regimes18.0ms (0.3%)

regimes16.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch26.0ms (0.4%)

bsearch35.0ms (0.6%)

bsearch20.0ms (0.3%)

bsearch21.0ms (0.4%)

bsearch19.0ms (0.3%)

bsearch25.0ms (0.4%)

bsearch28.0ms (0.5%)

bsearch27.0ms (0.5%)

simplify10.0ms (0.2%)

soundness1.3s (22.8%)

end0.0ms (0%)

preprocess91.0ms (1.6%)

Profiling