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)

sample1.9s (25.1%)

Results

491.0ms	1040×	body	1024	valid
408.0ms	2596×	body	256	valid
380.0ms	2564×	body	256	infinite
363.0ms	1030×	body	1024	infinite
134.0ms	506×	body	512	valid
120.0ms	518×	body	512	infinite
2.0ms	2×	body	2048	valid

Bogosity

preprocess89.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1388×	`fma-def`
1228×	`distribute-lft-neg-in`
1086×	`fma-neg`
802×	`times-frac`
794×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	144
1	94	144
2	254	140
3	526	134
4	1151	132
5	3093	132
6	5261	132
7	7961	132

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1568×	`unswap-sqr`
1404×	`fma-def`
900×	`fabs-mul`
862×	`associate-/r*`
692×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	30	35
2	74	35
3	141	33
4	189	33
5	256	33
6	438	33
7	1104	33
8	3158	33
9	3540	33
10	4031	33
11	5670	33
12	6650	33

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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) (.f64 1/2 (+.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))))

eval1.0ms (0%)

Compiler: Compiled 47 to 25 computations (46.8% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Accurracy

100.0%

Counts

5 → 1

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize71.0ms (0.9%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 36 to 14 computations (61.1% saved)

series7.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	re	@	0	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	re	@	-inf	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	re	@	inf	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	im	@	-inf	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite38.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`add-sqr-sqrt`
272×	`pow1`
272×	`*-un-lft-identity`
264×	`add-exp-log`
262×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	273	40
2	4277	40

Stop Event

1×

unsound

Counts

2 → 42

Calls

Call 1

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

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

simplify30.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

176×	`associate-r`
172×	`fma-def`
154×	`associate-l`
106×	`*-commutative`
102×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1438
1	385	1438
2	1803	1438

Stop Event

1×

unsound

Counts

70 → 69

Calls

Call 1

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

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

eval18.0ms (0.2%)

Compiler: Compiled 999 to 481 computations (51.9% saved)

prune21.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Accurracy

100.0%

Counts

70 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.3%	(pow.f64 (*.f64 (sin.f64 re) -2) -2)
▶	74.6%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
▶	11.1%	(+.f64 (sin.f64 re) (sin.f64 re))
	56.5%	(.f64 (.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)) (+.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)))
▶	58.3%	(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	53.0%	(sin.f64 re)
▶	10.3%	(pow.f64 (*.f64 (sin.f64 re) -2) -2)
▶	74.6%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
▶	11.1%	(+.f64 (sin.f64 re) (sin.f64 re))
	56.5%	(.f64 (.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)) (+.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)))
▶	58.3%	(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	53.0%	(sin.f64 re)

Compiler

Compiled 270 to 200 computations (25.9% saved)

localize162.0ms (2.1%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	100.0%	(sin.f64 re)
✓	99.6%	(pow.f64 (*.f64 (sin.f64 re) -2) -2)
	100.0%	(sin.f64 re)
	100.0%	(sin.f64 re)
	100.0%	(sin.f64 re)
✓	100.0%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
✓	94.0%	(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))

Compiler

Compiled 88 to 33 computations (62.5% saved)

series11.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

444×	`add-sqr-sqrt`
430×	`pow1`
428×	`*-un-lft-identity`
416×	`add-exp-log`
414×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
1	435	100
2	7143	100

Stop Event

1×

unsound

Counts

4 → 87

Calls

Call 1

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

Outputs
-512
-8
-4
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
16
27
64
im
-512
-8
-4
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
16
27
64
im
-512
-8
-4
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
16
27
64
im
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -512)
(/.f64 re -512)
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re -512)
(pow.f64 re 1/3)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 -512 (expm1.f64 re)))
(cbrt.f64 re)
re
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) -512))
(log1p.f64 (expm1.f64 re))
(fma.f64 -512 re re)
(fma.f64 re -512 re)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1182×	`distribute-lft-out`
1134×	`fma-def`
600×	`unswap-sqr`
586×	`+-commutative`
546×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	3149
1	333	3113
2	838	3113
3	3427	3113

Stop Event

1×	node limit

Counts

171 → 77

Calls

Call 1

Inputs
(.f64 1/2 (.f64 re (pow.f64 im 2)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (pow.f64 im 2))) (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (pow.f64 im 2))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (pow.f64 im 2))) (.f64 1/2 (.f64 re (pow.f64 im 2)))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (pow.f64 im 2))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (pow.f64 im 2))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 7) (pow.f64 im 2))) (.f64 1/2 (.f64 re (pow.f64 im 2))))))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re) (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)))
(+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re) (+.f64 (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)) (.f64 (+.f64 1/120 (.f64 1/240 (pow.f64 im 2))) (pow.f64 re 5))))
(+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re) (+.f64 (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)) (+.f64 (.f64 (-.f64 (.f64 -1/10080 (pow.f64 im 2)) 1/5040) (pow.f64 re 7)) (.f64 (+.f64 1/120 (.f64 1/240 (pow.f64 im 2))) (pow.f64 re 5)))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(/.f64 1/4 (pow.f64 re 2))
(+.f64 1/12 (*.f64 1/4 (/.f64 1 (pow.f64 re 2))))
(+.f64 1/12 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 re 2))) (.f64 1/60 (pow.f64 re 2))))
(+.f64 1/12 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 re 2))) (+.f64 (.f64 1/60 (pow.f64 re 2)) (*.f64 1/378 (pow.f64 re 4)))))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(.f64 1/2 (.f64 re (+.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 re (+.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 re (+.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 re (+.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 re (+.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 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
re
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 (.f64 1/24 (.f64 re (pow.f64 im 4))) (+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2)))))
(+.f64 (.f64 1/24 (.f64 re (pow.f64 im 4))) (+.f64 (.f64 1/720 (.f64 re (pow.f64 im 6))) (+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))))
(.f64 1/2 (.f64 re (+.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 re (+.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 (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im))) re))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im))) re))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im))) re))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im))) re))
-512
-8
-4
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
16
27
64
-512
-8
-4
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
16
27
64
-512
-8
-4
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
16
27
64
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -512)
(/.f64 re -512)
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re -512)
(pow.f64 re 1/3)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 -512 (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) -512))
(log1p.f64 (expm1.f64 re))
(fma.f64 -512 re re)
(fma.f64 re -512 re)

Outputs
(.f64 1/2 (.f64 re (pow.f64 im 2)))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (pow.f64 im 2))) (.f64 1/2 (.f64 re (pow.f64 im 2))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (pow.f64 im 2))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (pow.f64 im 2))) (.f64 1/2 (.f64 re (pow.f64 im 2)))))
(fma.f64 -1/12 (.f64 (.f64 im im) (pow.f64 re 3)) (fma.f64 1/240 (.f64 (.f64 im im) (pow.f64 re 5)) (.f64 (.f64 1/2 re) (*.f64 im im))))
(fma.f64 -1/12 (.f64 im (.f64 im (pow.f64 re 3))) (.f64 (.f64 im im) (+.f64 (.f64 1/2 re) (.f64 1/240 (pow.f64 re 5)))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (pow.f64 im 2))) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (pow.f64 im 2))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 7) (pow.f64 im 2))) (.f64 1/2 (.f64 re (pow.f64 im 2))))))
(fma.f64 -1/12 (.f64 (.f64 im im) (pow.f64 re 3)) (fma.f64 1/240 (.f64 (.f64 im im) (pow.f64 re 5)) (fma.f64 -1/10080 (.f64 (.f64 im im) (pow.f64 re 7)) (.f64 (.f64 1/2 re) (*.f64 im im)))))
(+.f64 (.f64 (.f64 im im) (+.f64 (.f64 1/2 re) (.f64 -1/10080 (pow.f64 re 7)))) (.f64 (.f64 im im) (+.f64 (.f64 -1/12 (pow.f64 re 3)) (.f64 1/240 (pow.f64 re 5)))))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re) (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re) (+.f64 (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)) (.f64 (+.f64 1/120 (.f64 1/240 (pow.f64 im 2))) (pow.f64 re 5))))
(fma.f64 (+.f64 1 (.f64 1/2 (.f64 im im))) re (fma.f64 (pow.f64 re 3) (fma.f64 -1/12 (.f64 im im) -1/6) (.f64 (pow.f64 re 5) (+.f64 1/120 (.f64 (.f64 im im) 1/240)))))
(fma.f64 re (fma.f64 1/2 (.f64 im im) 1) (fma.f64 (pow.f64 re 3) (fma.f64 (.f64 im im) -1/12 -1/6) (.f64 (pow.f64 re 5) (fma.f64 (.f64 im im) 1/240 1/120))))
(+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re) (+.f64 (.f64 (pow.f64 re 3) (-.f64 (.f64 -1/12 (pow.f64 im 2)) 1/6)) (+.f64 (.f64 (-.f64 (.f64 -1/10080 (pow.f64 im 2)) 1/5040) (pow.f64 re 7)) (.f64 (+.f64 1/120 (.f64 1/240 (pow.f64 im 2))) (pow.f64 re 5)))))
(fma.f64 (+.f64 1 (.f64 1/2 (.f64 im im))) re (fma.f64 (pow.f64 re 3) (fma.f64 -1/12 (.f64 im im) -1/6) (fma.f64 (fma.f64 -1/10080 (.f64 im im) -1/5040) (pow.f64 re 7) (.f64 (pow.f64 re 5) (+.f64 1/120 (.f64 (*.f64 im im) 1/240))))))
(fma.f64 re (fma.f64 1/2 (.f64 im im) 1) (fma.f64 (pow.f64 re 3) (fma.f64 (.f64 im im) -1/12 -1/6) (fma.f64 (pow.f64 re 5) (fma.f64 (.f64 im im) 1/240 1/120) (.f64 (pow.f64 re 7) (fma.f64 (*.f64 im im) -1/10080 -1/5040)))))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(sin.f64 re)
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(+.f64 (sin.f64 re) (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))))
(.f64 1/2 (.f64 (*.f64 im im) (sin.f64 re)))
(/.f64 1/4 (pow.f64 re 2))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 1/12 (*.f64 1/4 (/.f64 1 (pow.f64 re 2))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 1/12 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 re 2))) (.f64 1/60 (pow.f64 re 2))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 1/12 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 re 2))) (+.f64 (.f64 1/60 (pow.f64 re 2)) (*.f64 1/378 (pow.f64 re 4)))))
(+.f64 (+.f64 1/12 (/.f64 1/4 (.f64 re re))) (fma.f64 1/60 (.f64 re re) (*.f64 1/378 (pow.f64 re 4))))
(+.f64 1/12 (+.f64 (/.f64 1/4 (.f64 re re)) (fma.f64 (.f64 re re) 1/60 (*.f64 1/378 (pow.f64 re 4)))))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(/.f64 1/4 (pow.f64 (sin.f64 re) 2))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
re
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 (.f64 1/24 (.f64 re (pow.f64 im 4))) (+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(+.f64 (.f64 1/24 (.f64 re (pow.f64 im 4))) (+.f64 (.f64 1/720 (.f64 re (pow.f64 im 6))) (+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im))) re))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im))) re))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im))) re))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im))) re))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-512
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-8
-4
-2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-1
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-1/2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
0
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1/512
1/64
1/16
1/8
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1/4
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1/2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
3/2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
3
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
4
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
8
9
16
27
64
-512
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-8
-4
-2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-1
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-1/2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
0
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1/512
1/64
1/16
1/8
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1/4
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1/2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
3/2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
3
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
4
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
8
9
16
27
64
-512
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-8
-4
-2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-1
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
-1/2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
0
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1/512
1/64
1/16
1/8
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1/4
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1/2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
1
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
3/2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
2
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
3
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
4
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
8
9
16
27
64
(+.f64 re re)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(-.f64 (exp.f64 (log1p.f64 re)) -512)
(+.f64 (exp.f64 (log1p.f64 re)) 512)
(/.f64 re -512)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(/.f64 (-.f64 re re) (-.f64 re re))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(pow.f64 re -512)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(pow.f64 re 1/3)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(sqrt.f64 re)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(fabs.f64 re)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(log.f64 (exp.f64 re))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(log.f64 (+.f64 -512 (expm1.f64 re)))
(cbrt.f64 re)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(expm1.f64 (log1p.f64 re))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(exp.f64 (log.f64 re))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(exp.f64 (*.f64 (log.f64 re) -512))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(log1p.f64 (expm1.f64 re))
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(fma.f64 -512 re re)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))
(fma.f64 re -512 re)
(.f64 (.f64 1/2 re) (*.f64 im im))
(.f64 1/2 (.f64 re (*.f64 im im)))

eval209.0ms (2.7%)

Compiler: Compiled 8404 to 4421 computations (47.4% saved)

prune69.0ms (0.9%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	734	15	749
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	736	20	756

Accurracy

100.0%

Counts

756 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.6%	(fma.f64 re -512 re)
	13.4%	(pow.f64 re -512)
	5.5%	(/.f64 re (+.f64 re (-.f64 re re)))
	2.7%	(/.f64 re -512)
	54.3%	(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
	55.3%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
✓	74.6%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
▶	3.8%	(+.f64 (sin.f64 re) -512)
	32.7%	(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
	45.7%	(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
▶	6.6%	(+.f64 re re)
▶	43.0%	(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
▶	56.5%	(.f64 (.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)) (+.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)))
✓	58.3%	(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	53.0%	(sin.f64 re)
	33.8%	(log1p.f64 (expm1.f64 re))
	14.1%	(fabs.f64 re)
▶	4.3%	(cbrt.f64 re)
	24.2%	re
	2.6%	(fma.f64 re -512 re)
	13.4%	(pow.f64 re -512)
	5.5%	(/.f64 re (+.f64 re (-.f64 re re)))
	2.7%	(/.f64 re -512)
	54.3%	(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
	55.3%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
✓	74.6%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
▶	3.8%	(+.f64 (sin.f64 re) -512)
	32.7%	(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
	45.7%	(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
▶	6.6%	(+.f64 re re)
▶	43.0%	(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
▶	56.5%	(.f64 (.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)) (+.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)))
✓	58.3%	(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	53.0%	(sin.f64 re)
	33.8%	(log1p.f64 (expm1.f64 re))
	14.1%	(fabs.f64 re)
▶	4.3%	(cbrt.f64 re)
	24.2%	re

Compiler

Compiled 622 to 456 computations (26.7% saved)

localize227.0ms (3%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 1/2 (pow.f64 im 2))
✓	94.1%	(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
	100.0%	(sin.f64 re)
✓	99.1%	(cbrt.f64 re)
✓	100.0%	(.f64 (.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	99.7%	(exp.f64 (log1p.f64 (sin.f64 re)))
✓	99.5%	(log1p.f64 (sin.f64 re))
✓	57.3%	(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)

Compiler

Compiled 102 to 50 computations (51% saved)

series124.0ms (1.6%)

Counts

7 → 72

Calls

27 calls:

Time	Variable		Point	Expression
56.0ms	re	@	0	(cbrt.f64 re)
29.0ms	re	@	inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)
20.0ms	re	@	-inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)
12.0ms	im	@	inf	(.f64 (.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	re	@	0	(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`add-sqr-sqrt`
448×	`pow1`
444×	`*-un-lft-identity`
432×	`add-exp-log`
430×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	55
1	485	55
2	7203	55

Stop Event

1×

unsound

Counts

7 → 176

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)
(log1p.f64 (sin.f64 re))
(exp.f64 (log1p.f64 (sin.f64 re)))
(.f64 (.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(cbrt.f64 re)
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(*.f64 1/2 (pow.f64 im 2))

Outputs
(+.f64 (+.f64 -1 (sin.f64 re)) -1)
(+.f64 -1 (+.f64 -1 (sin.f64 re)))
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (*.f64 (sin.f64 re) (+.f64 -1 (sin.f64 re))) (sin.f64 re))
(+.f64 (*.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re))
(*.f64 -1 (sin.f64 re))
(*.f64 (sin.f64 re) -1)
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) (/.f64 -1 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 -1 (sin.f64 re))
(/.f64 -1 (/.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) -1)
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) (sin.f64 re))
(/.f64 (sin.f64 re) (cbrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (sqrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) -1))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (-.f64 -1 (+.f64 -1 (sin.f64 re)))))
(/.f64 (sin.f64 re) (+.f64 -1 (-.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) -1)
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (sin.f64 re)))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(/.f64 (-.f64 -1 (+.f64 -1 (sin.f64 re))) (-.f64 -1 (+.f64 -1 (sin.f64 re))))
(pow.f64 (sin.f64 re) -1)
(pow.f64 (sin.f64 re) 1/3)
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 -1 (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) -1))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(fma.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 -1 (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 -1 (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) -1 (sin.f64 re))
(+.f64 -1 (log1p.f64 (sin.f64 re)))
(+.f64 (log1p.f64 (sin.f64 re)) (log1p.f64 (sin.f64 re)))
(-.f64 (log1p.f64 (sin.f64 re)) -1)
(*.f64 -1 (log1p.f64 (sin.f64 re)))
(*.f64 (log1p.f64 (sin.f64 re)) -1)
(*.f64 (log1p.f64 (sin.f64 re)) (log1p.f64 (sin.f64 re)))
(pow.f64 (log1p.f64 (sin.f64 re)) -1)
(pow.f64 (log1p.f64 (sin.f64 re)) 1/3)
(sqrt.f64 (log1p.f64 (sin.f64 re)))
(fabs.f64 (log1p.f64 (sin.f64 re)))
(log.f64 (+.f64 -1 (sin.f64 re)))
(cbrt.f64 (log1p.f64 (sin.f64 re)))
(expm1.f64 (log.f64 (log1p.f64 (sin.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 re))) -1))
(+.f64 -1 (sin.f64 re))
(+.f64 (sin.f64 re) -1)
(-.f64 (sin.f64 re) -1)
(*.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)))
(*.f64 (+.f64 -1 (sin.f64 re)) -1)
(*.f64 -1 (+.f64 -1 (sin.f64 re)))
(/.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 -1 (sin.f64 re)) (-.f64 -1 (sin.f64 re)))
(pow.f64 (+.f64 -1 (sin.f64 re)) -1)
(pow.f64 (+.f64 -1 (sin.f64 re)) (log1p.f64 (sin.f64 re)))
(pow.f64 (+.f64 -1 (sin.f64 re)) 1/3)
(pow.f64 -1 (log1p.f64 (sin.f64 re)))
(sqrt.f64 (+.f64 -1 (sin.f64 re)))
(fabs.f64 (+.f64 -1 (sin.f64 re)))
(log.f64 (exp.f64 (+.f64 -1 (sin.f64 re))))
(log.f64 (+.f64 -1 (expm1.f64 (+.f64 -1 (sin.f64 re)))))
(cbrt.f64 (+.f64 -1 (sin.f64 re)))
(expm1.f64 (log.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (+.f64 -1 (sin.f64 re))))
(+.f64 (+.f64 -1 (sin.f64 re)) -1)
(+.f64 -1 (+.f64 -1 (sin.f64 re)))
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (*.f64 (sin.f64 re) (+.f64 -1 (sin.f64 re))) (sin.f64 re))
(+.f64 (*.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re))
(-.f64 (+.f64 -1 (sin.f64 re)) -1)
(-.f64 -1 (*.f64 -1 (cos.f64 re)))
(-.f64 (/.f64 (+.f64 -1 (sin.f64 re)) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))) (/.f64 -1 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(-.f64 (/.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re))
(/.f64 -1 (sin.f64 re))
(/.f64 -1 (/.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) -1)
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) (sin.f64 re))
(/.f64 (sin.f64 re) (cbrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (sqrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) -1))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (-.f64 -1 (+.f64 -1 (sin.f64 re)))))
(/.f64 (sin.f64 re) (+.f64 -1 (-.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) -1)
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (sin.f64 re)))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(/.f64 (-.f64 -1 (+.f64 -1 (sin.f64 re))) (-.f64 -1 (+.f64 -1 (sin.f64 re))))
(pow.f64 (sin.f64 re) -1)
(pow.f64 (sin.f64 re) 1/3)
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 -1 (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) -1))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(fma.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 -1 (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 -1 (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) -1 (sin.f64 re))
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -1)
(*.f64 re re)
(*.f64 re -1)
(*.f64 -1 re)
(/.f64 re -1)
(pow.f64 re -1)
(pow.f64 re 1/3)
(pow.f64 re 1/6)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 -1 (expm1.f64 re)))
re
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) -1))
(exp.f64 (*.f64 (log.f64 re) 1/3))
(log1p.f64 (expm1.f64 re))
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -1)
(/.f64 re -1)
(pow.f64 re -1)
(pow.f64 re 1/3)
(pow.f64 re 1/6)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 -1 (expm1.f64 re)))
(cbrt.f64 re)
re
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) -1))
(exp.f64 (*.f64 (log.f64 re) 1/3))
(log1p.f64 (expm1.f64 re))
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
16
27
64
512
im

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1202×	`fma-def`
754×	`div-sub`
736×	`associate-+l+`
732×	`associate-+r+`
642×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	3896
1	568	3600
2	1356	3422
3	5646	3384

Stop Event

1×	node limit

Counts

248 → 257

Calls

Call 1

Inputs
re
(+.f64 re (*.f64 -1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 re (.f64 -1/6 (pow.f64 re 3))))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 re (+.f64 (.f64 -1/6 (pow.f64 re 3)) (*.f64 -1/5040 (pow.f64 re 7)))))
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
re
(+.f64 (*.f64 -1/2 (pow.f64 re 2)) re)
(+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 (.f64 -1/2 (pow.f64 re 2)) re))
(+.f64 (.f64 -1/12 (pow.f64 re 4)) (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 (*.f64 -1/2 (pow.f64 re 2)) re)))
(log.f64 (+.f64 1 (sin.f64 re)))
(log.f64 (+.f64 1 (sin.f64 re)))
(log.f64 (+.f64 1 (sin.f64 re)))
(log.f64 (+.f64 1 (sin.f64 re)))
(log.f64 (+.f64 1 (sin.f64 re)))
(log.f64 (+.f64 1 (sin.f64 re)))
(log.f64 (+.f64 1 (sin.f64 re)))
(log.f64 (+.f64 1 (sin.f64 re)))
1
(+.f64 1 re)
(+.f64 1 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 1 (+.f64 re (.f64 -1/6 (pow.f64 re 3)))))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(.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 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/240 (.f64 (pow.f64 re 5) (+.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 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/240 (.f64 (pow.f64 re 5) (+.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 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) (.f64 1/24 (.f64 (sin.f64 re) (pow.f64 im 4)))))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/720 (.f64 (sin.f64 re) (pow.f64 im 6))) (.f64 1/24 (.f64 (sin.f64 re) (pow.f64 im 4))))))
(.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)))))
re
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(.f64 1/2 (.f64 re (pow.f64 im 2)))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(.f64 1/2 (.f64 re (pow.f64 im 2)))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 (+.f64 -1 (sin.f64 re)) -1)
(+.f64 -1 (+.f64 -1 (sin.f64 re)))
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (*.f64 (sin.f64 re) (+.f64 -1 (sin.f64 re))) (sin.f64 re))
(+.f64 (*.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re))
(*.f64 -1 (sin.f64 re))
(*.f64 (sin.f64 re) -1)
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) (/.f64 -1 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 -1 (sin.f64 re))
(/.f64 -1 (/.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) -1)
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) (sin.f64 re))
(/.f64 (sin.f64 re) (cbrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (sqrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) -1))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (-.f64 -1 (+.f64 -1 (sin.f64 re)))))
(/.f64 (sin.f64 re) (+.f64 -1 (-.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) -1)
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (sin.f64 re)))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(/.f64 (-.f64 -1 (+.f64 -1 (sin.f64 re))) (-.f64 -1 (+.f64 -1 (sin.f64 re))))
(pow.f64 (sin.f64 re) -1)
(pow.f64 (sin.f64 re) 1/3)
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 -1 (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) -1))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(fma.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 -1 (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 -1 (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) -1 (sin.f64 re))
(+.f64 -1 (log1p.f64 (sin.f64 re)))
(+.f64 (log1p.f64 (sin.f64 re)) (log1p.f64 (sin.f64 re)))
(-.f64 (log1p.f64 (sin.f64 re)) -1)
(*.f64 -1 (log1p.f64 (sin.f64 re)))
(*.f64 (log1p.f64 (sin.f64 re)) -1)
(*.f64 (log1p.f64 (sin.f64 re)) (log1p.f64 (sin.f64 re)))
(pow.f64 (log1p.f64 (sin.f64 re)) -1)
(pow.f64 (log1p.f64 (sin.f64 re)) 1/3)
(sqrt.f64 (log1p.f64 (sin.f64 re)))
(fabs.f64 (log1p.f64 (sin.f64 re)))
(log.f64 (+.f64 -1 (sin.f64 re)))
(cbrt.f64 (log1p.f64 (sin.f64 re)))
(expm1.f64 (log.f64 (log1p.f64 (sin.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 re))) -1))
(+.f64 -1 (sin.f64 re))
(+.f64 (sin.f64 re) -1)
(-.f64 (sin.f64 re) -1)
(*.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)))
(*.f64 (+.f64 -1 (sin.f64 re)) -1)
(*.f64 -1 (+.f64 -1 (sin.f64 re)))
(/.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (-.f64 -1 (sin.f64 re)) (-.f64 -1 (sin.f64 re)))
(pow.f64 (+.f64 -1 (sin.f64 re)) -1)
(pow.f64 (+.f64 -1 (sin.f64 re)) (log1p.f64 (sin.f64 re)))
(pow.f64 (+.f64 -1 (sin.f64 re)) 1/3)
(pow.f64 -1 (log1p.f64 (sin.f64 re)))
(sqrt.f64 (+.f64 -1 (sin.f64 re)))
(fabs.f64 (+.f64 -1 (sin.f64 re)))
(log.f64 (exp.f64 (+.f64 -1 (sin.f64 re))))
(log.f64 (+.f64 -1 (expm1.f64 (+.f64 -1 (sin.f64 re)))))
(cbrt.f64 (+.f64 -1 (sin.f64 re)))
(expm1.f64 (log.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (+.f64 -1 (sin.f64 re))))
(+.f64 (+.f64 -1 (sin.f64 re)) -1)
(+.f64 -1 (+.f64 -1 (sin.f64 re)))
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (*.f64 (sin.f64 re) (+.f64 -1 (sin.f64 re))) (sin.f64 re))
(+.f64 (*.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re))
(-.f64 (+.f64 -1 (sin.f64 re)) -1)
(-.f64 -1 (*.f64 -1 (cos.f64 re)))
(-.f64 (/.f64 (+.f64 -1 (sin.f64 re)) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))) (/.f64 -1 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(-.f64 (/.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re))
(/.f64 -1 (sin.f64 re))
(/.f64 -1 (/.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) -1)
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) (sin.f64 re))
(/.f64 (sin.f64 re) (cbrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (sqrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) -1))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (-.f64 -1 (+.f64 -1 (sin.f64 re)))))
(/.f64 (sin.f64 re) (+.f64 -1 (-.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)))))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) -1)
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (sin.f64 re)))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(/.f64 (-.f64 -1 (+.f64 -1 (sin.f64 re))) (-.f64 -1 (+.f64 -1 (sin.f64 re))))
(pow.f64 (sin.f64 re) -1)
(pow.f64 (sin.f64 re) 1/3)
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 -1 (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) -1))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(fma.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 -1 (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 -1 (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) -1 (sin.f64 re))
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -1)
(*.f64 re re)
(*.f64 re -1)
(*.f64 -1 re)
(/.f64 re -1)
(pow.f64 re -1)
(pow.f64 re 1/3)
(pow.f64 re 1/6)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 -1 (expm1.f64 re)))
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) -1))
(exp.f64 (*.f64 (log.f64 re) 1/3))
(log1p.f64 (expm1.f64 re))
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -1)
(/.f64 re -1)
(pow.f64 re -1)
(pow.f64 re 1/3)
(pow.f64 re 1/6)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 -1 (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) -1))
(exp.f64 (*.f64 (log.f64 re) 1/3))
(log1p.f64 (expm1.f64 re))
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
16
27
64
512

Outputs
re
(+.f64 re (*.f64 -1/6 (pow.f64 re 3)))
(fma.f64 -1/6 (pow.f64 re 3) re)
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 re (.f64 -1/6 (pow.f64 re 3))))
(fma.f64 1/120 (pow.f64 re 5) (+.f64 re (*.f64 -1/6 (pow.f64 re 3))))
(fma.f64 1/120 (pow.f64 re 5) (fma.f64 -1/6 (pow.f64 re 3) re))
(fma.f64 -1/6 (pow.f64 re 3) (fma.f64 1/120 (pow.f64 re 5) re))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 re (+.f64 (.f64 -1/6 (pow.f64 re 3)) (*.f64 -1/5040 (pow.f64 re 7)))))
(fma.f64 1/120 (pow.f64 re 5) (+.f64 re (fma.f64 -1/6 (pow.f64 re 3) (*.f64 -1/5040 (pow.f64 re 7)))))
(+.f64 (fma.f64 1/120 (pow.f64 re 5) (fma.f64 -1/6 (pow.f64 re 3) re)) (*.f64 -1/5040 (pow.f64 re 7)))
(fma.f64 1/120 (pow.f64 re 5) (fma.f64 -1/6 (pow.f64 re 3) (fma.f64 -1/5040 (pow.f64 re 7) re)))
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
re
(+.f64 (*.f64 -1/2 (pow.f64 re 2)) re)
(fma.f64 -1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 re -1/2) re)
(+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 (.f64 -1/2 (pow.f64 re 2)) re))
(fma.f64 1/6 (pow.f64 re 3) (fma.f64 -1/2 (*.f64 re re) re))
(fma.f64 (pow.f64 re 3) 1/6 (fma.f64 -1/2 (*.f64 re re) re))
(fma.f64 re (*.f64 re -1/2) (fma.f64 (pow.f64 re 3) 1/6 re))
(+.f64 (.f64 -1/12 (pow.f64 re 4)) (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 (*.f64 -1/2 (pow.f64 re 2)) re)))
(fma.f64 -1/12 (pow.f64 re 4) (fma.f64 1/6 (pow.f64 re 3) (fma.f64 -1/2 (*.f64 re re) re)))
(fma.f64 -1/12 (pow.f64 re 4) (fma.f64 (pow.f64 re 3) 1/6 (fma.f64 -1/2 (*.f64 re re) re)))
(fma.f64 (pow.f64 re 3) 1/6 (fma.f64 -1/12 (pow.f64 re 4) (fma.f64 re (*.f64 re -1/2) re)))
(log.f64 (+.f64 1 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 1 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 1 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 1 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 1 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 1 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 1 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(log.f64 (+.f64 1 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
1
(+.f64 1 re)
(+.f64 re 1)
(+.f64 1 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))))
(+.f64 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 re 3) re) 1)
(+.f64 re (fma.f64 -1/6 (pow.f64 re 3) 1))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 1 (+.f64 re (.f64 -1/6 (pow.f64 re 3)))))
(fma.f64 1/120 (pow.f64 re 5) (+.f64 (+.f64 re (*.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 (fma.f64 -1/6 (pow.f64 re 3) (fma.f64 1/120 (pow.f64 re 5) re)) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re 1/2))
(*.f64 1/2 (fma.f64 re (exp.f64 im) (/.f64 re (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 -1/12 (.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 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 re 1/2) (*.f64 (pow.f64 re 3) -1/12)))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 re 1/2 (.f64 (pow.f64 re 3) -1/12)))
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re
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1
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1
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1
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1
(/.f64 (-.f64 -1 (+.f64 -1 (sin.f64 re))) (-.f64 -1 (+.f64 -1 (sin.f64 re))))
1
(pow.f64 (sin.f64 re) -1)
(/.f64 1 (sin.f64 re))
(pow.f64 (sin.f64 re) 1/3)
(cbrt.f64 (sin.f64 re))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(sin.f64 re)
(log.f64 (+.f64 -1 (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (log.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) -1))
(/.f64 1 (sin.f64 re))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(fma.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 (+.f64 (sin.f64 re) -1) (+.f64 (sin.f64 re) -1) -1)
(*.f64 (sin.f64 re) (-.f64 (+.f64 (sin.f64 re) -1) 1))
(*.f64 (sin.f64 re) (+.f64 (sin.f64 re) -2))
(fma.f64 -1 (+.f64 -1 (sin.f64 re)) -1)
(neg.f64 (sin.f64 re))
(fma.f64 -1 (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) -1 (sin.f64 re))
0
(fma.f64 (sin.f64 re) -1 (sin.f64 re))
0
(+.f64 -1 (log1p.f64 (sin.f64 re)))
(+.f64 (log1p.f64 (sin.f64 re)) (log1p.f64 (sin.f64 re)))
(*.f64 2 (log1p.f64 (sin.f64 re)))
(-.f64 (log1p.f64 (sin.f64 re)) -1)
(+.f64 (log1p.f64 (sin.f64 re)) 1)
(+.f64 1 (log1p.f64 (sin.f64 re)))
(*.f64 -1 (log1p.f64 (sin.f64 re)))
(neg.f64 (log1p.f64 (sin.f64 re)))
(*.f64 (log1p.f64 (sin.f64 re)) -1)
(neg.f64 (log1p.f64 (sin.f64 re)))
(*.f64 (log1p.f64 (sin.f64 re)) (log1p.f64 (sin.f64 re)))
(pow.f64 (log1p.f64 (sin.f64 re)) -1)
(/.f64 1 (log1p.f64 (sin.f64 re)))
(pow.f64 (log1p.f64 (sin.f64 re)) 1/3)
(cbrt.f64 (log1p.f64 (sin.f64 re)))
(sqrt.f64 (log1p.f64 (sin.f64 re)))
(fabs.f64 (log1p.f64 (sin.f64 re)))
(log.f64 (+.f64 -1 (sin.f64 re)))
(log.f64 (+.f64 (sin.f64 re) -1))
(cbrt.f64 (log1p.f64 (sin.f64 re)))
(expm1.f64 (log.f64 (log1p.f64 (sin.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 re))))
(log1p.f64 (sin.f64 re))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 re))) -1))
(/.f64 1 (log1p.f64 (sin.f64 re)))
(+.f64 -1 (sin.f64 re))
(+.f64 (sin.f64 re) -1)
(+.f64 (sin.f64 re) -1)
(-.f64 (sin.f64 re) -1)
(+.f64 (sin.f64 re) 1)
(*.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)))
(*.f64 (+.f64 (sin.f64 re) -1) (+.f64 (sin.f64 re) -1))
(*.f64 (+.f64 -1 (sin.f64 re)) -1)
(+.f64 1 (neg.f64 (sin.f64 re)))
(-.f64 1 (sin.f64 re))
(*.f64 -1 (+.f64 -1 (sin.f64 re)))
(+.f64 1 (neg.f64 (sin.f64 re)))
(-.f64 1 (sin.f64 re))
(/.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (+.f64 (sin.f64 re) -1) -1)
(/.f64 (-.f64 -1 (sin.f64 re)) (-.f64 -1 (sin.f64 re)))
1
(pow.f64 (+.f64 -1 (sin.f64 re)) -1)
(/.f64 1 (+.f64 (sin.f64 re) -1))
(pow.f64 (+.f64 -1 (sin.f64 re)) (log1p.f64 (sin.f64 re)))
(pow.f64 (+.f64 (sin.f64 re) -1) (log1p.f64 (sin.f64 re)))
(pow.f64 (+.f64 -1 (sin.f64 re)) 1/3)
(cbrt.f64 (+.f64 (sin.f64 re) -1))
(pow.f64 -1 (log1p.f64 (sin.f64 re)))
(sqrt.f64 (+.f64 -1 (sin.f64 re)))
(sqrt.f64 (+.f64 (sin.f64 re) -1))
(fabs.f64 (+.f64 -1 (sin.f64 re)))
(fabs.f64 (+.f64 (sin.f64 re) -1))
(log.f64 (exp.f64 (+.f64 -1 (sin.f64 re))))
(+.f64 (sin.f64 re) -1)
(log.f64 (+.f64 -1 (expm1.f64 (+.f64 -1 (sin.f64 re)))))
(log.f64 (+.f64 -1 (expm1.f64 (+.f64 (sin.f64 re) -1))))
(cbrt.f64 (+.f64 -1 (sin.f64 re)))
(cbrt.f64 (+.f64 (sin.f64 re) -1))
(expm1.f64 (log.f64 (sin.f64 re)))
(+.f64 (sin.f64 re) -1)
(log1p.f64 (expm1.f64 (+.f64 -1 (sin.f64 re))))
(+.f64 (sin.f64 re) -1)
(+.f64 (+.f64 -1 (sin.f64 re)) -1)
(+.f64 -2 (sin.f64 re))
(+.f64 (sin.f64 re) -2)
(+.f64 -1 (+.f64 -1 (sin.f64 re)))
(+.f64 -2 (sin.f64 re))
(+.f64 (sin.f64 re) -2)
(+.f64 (sin.f64 re) (sin.f64 re))
(*.f64 2 (sin.f64 re))
(*.f64 (sin.f64 re) 2)
(+.f64 (*.f64 (sin.f64 re) (+.f64 -1 (sin.f64 re))) (sin.f64 re))
(fma.f64 (sin.f64 re) (+.f64 (sin.f64 re) -1) (sin.f64 re))
(*.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (*.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re))
(fma.f64 (sin.f64 re) (+.f64 (sin.f64 re) -1) (sin.f64 re))
(*.f64 (sin.f64 re) (sin.f64 re))
(-.f64 (+.f64 -1 (sin.f64 re)) -1)
(sin.f64 re)
(-.f64 -1 (*.f64 -1 (cos.f64 re)))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 re)) -1)
(-.f64 -1 (/.f64 (cos.f64 re) -1))
(+.f64 -1 (cos.f64 re))
(-.f64 (/.f64 (+.f64 -1 (sin.f64 re)) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))) (/.f64 -1 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 -1 (*.f64 2 (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 -1 (*.f64 (sin.f64 re) 2)))
(/.f64 (sin.f64 re) (fma.f64 (sin.f64 re) 2 -1))
(-.f64 (/.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re))
(-.f64 (/.f64 (+.f64 (sin.f64 re) -1) (sin.f64 re)) (sin.f64 re))
(/.f64 -1 (sin.f64 re))
(/.f64 -1 (/.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 (neg.f64 (sin.f64 re)) (+.f64 -1 (*.f64 2 (sin.f64 re))))
(/.f64 (neg.f64 (sin.f64 re)) (+.f64 -1 (*.f64 (sin.f64 re) 2)))
(/.f64 (neg.f64 (sin.f64 re)) (fma.f64 (sin.f64 re) 2 -1))
(/.f64 (sin.f64 re) (fma.f64 (sin.f64 re) -2 1))
(/.f64 (sin.f64 re) -1)
(neg.f64 (sin.f64 re))
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)))
(/.f64 (sin.f64 re) (+.f64 -1 (*.f64 2 (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 -1 (*.f64 (sin.f64 re) 2)))
(/.f64 (sin.f64 re) (fma.f64 (sin.f64 re) 2 -1))
(/.f64 (sin.f64 re) (sin.f64 re))
1
(/.f64 (sin.f64 re) (cbrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (cbrt.f64 (+.f64 -1 (*.f64 2 (sin.f64 re)))))
(/.f64 (sin.f64 re) (cbrt.f64 (+.f64 -1 (*.f64 (sin.f64 re) 2))))
(/.f64 (sin.f64 re) (cbrt.f64 (fma.f64 (sin.f64 re) 2 -1)))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (.f64 (+.f64 -1 (.f64 2 (sin.f64 re))) (+.f64 -1 (*.f64 2 (sin.f64 re)))))
(/.f64 (sin.f64 re) (.f64 (+.f64 -1 (.f64 (sin.f64 re) 2)) (+.f64 -1 (*.f64 (sin.f64 re) 2))))
(/.f64 (sin.f64 re) (*.f64 (fma.f64 (sin.f64 re) 2 -1) (fma.f64 (sin.f64 re) 2 -1)))
(/.f64 (sin.f64 re) (sqrt.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (sqrt.f64 (+.f64 -1 (*.f64 2 (sin.f64 re)))))
(/.f64 (sin.f64 re) (sqrt.f64 (+.f64 -1 (*.f64 (sin.f64 re) 2))))
(/.f64 (sin.f64 re) (sqrt.f64 (fma.f64 (sin.f64 re) 2 -1)))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) (sin.f64 re)))
(/.f64 1 (+.f64 -1 (*.f64 2 (sin.f64 re))))
(/.f64 1 (+.f64 -1 (*.f64 (sin.f64 re) 2)))
(/.f64 1 (fma.f64 (sin.f64 re) 2 -1))
(/.f64 -1 (fma.f64 (sin.f64 re) -2 1))
(/.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 1 (+.f64 -1 (*.f64 2 (sin.f64 re))))
(/.f64 1 (+.f64 -1 (*.f64 (sin.f64 re) 2)))
(/.f64 1 (fma.f64 (sin.f64 re) 2 -1))
(/.f64 -1 (fma.f64 (sin.f64 re) -2 1))
(/.f64 (sin.f64 re) (*.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re)) -1))
(/.f64 (neg.f64 (sin.f64 re)) (+.f64 -1 (*.f64 2 (sin.f64 re))))
(/.f64 (neg.f64 (sin.f64 re)) (+.f64 -1 (*.f64 (sin.f64 re) 2)))
(/.f64 (neg.f64 (sin.f64 re)) (fma.f64 (sin.f64 re) 2 -1))
(/.f64 (sin.f64 re) (fma.f64 (sin.f64 re) -2 1))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
1
(/.f64 (sin.f64 re) (+.f64 (+.f64 -1 (sin.f64 re)) (-.f64 -1 (+.f64 -1 (sin.f64 re)))))
(neg.f64 (sin.f64 re))
(/.f64 (sin.f64 re) (+.f64 -1 (-.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)))))
(neg.f64 (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) -1)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 re)) -1)
(-.f64 -1 (/.f64 (cos.f64 re) -1))
(+.f64 -1 (cos.f64 re))
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (+.f64 (+.f64 -1 (sin.f64 re)) (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 -1 (*.f64 2 (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 -1 (*.f64 (sin.f64 re) 2)))
(/.f64 (sin.f64 re) (fma.f64 (sin.f64 re) 2 -1))
(/.f64 (neg.f64 (sin.f64 re)) (neg.f64 (sin.f64 re)))
1
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
1
(/.f64 (-.f64 -1 (+.f64 -1 (sin.f64 re))) (-.f64 -1 (+.f64 -1 (sin.f64 re))))
1
(pow.f64 (sin.f64 re) -1)
(/.f64 1 (sin.f64 re))
(pow.f64 (sin.f64 re) 1/3)
(cbrt.f64 (sin.f64 re))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(sin.f64 re)
(log.f64 (+.f64 -1 (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (log.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) -1))
(/.f64 1 (sin.f64 re))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(fma.f64 (+.f64 -1 (sin.f64 re)) (+.f64 -1 (sin.f64 re)) -1)
(fma.f64 (+.f64 (sin.f64 re) -1) (+.f64 (sin.f64 re) -1) -1)
(*.f64 (sin.f64 re) (-.f64 (+.f64 (sin.f64 re) -1) 1))
(*.f64 (sin.f64 re) (+.f64 (sin.f64 re) -2))
(fma.f64 -1 (+.f64 -1 (sin.f64 re)) -1)
(neg.f64 (sin.f64 re))
(fma.f64 -1 (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) -1 (sin.f64 re))
0
(fma.f64 (sin.f64 re) -1 (sin.f64 re))
0
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -1)
(+.f64 (exp.f64 (log1p.f64 re)) 1)
(+.f64 1 (exp.f64 (log1p.f64 re)))
(*.f64 re re)
(*.f64 re -1)
(neg.f64 re)
(*.f64 -1 re)
(neg.f64 re)
(/.f64 re -1)
(pow.f64 re -1)
(/.f64 1 re)
(pow.f64 re 1/3)
(cbrt.f64 re)
(pow.f64 re 1/6)
(sqrt.f64 re)
(fabs.f64 re)
re
(log.f64 (exp.f64 re))
re
(log.f64 (+.f64 -1 (expm1.f64 re)))
(expm1.f64 (log1p.f64 re))
re
(exp.f64 (log.f64 re))
re
(exp.f64 (*.f64 (log.f64 re) -1))
(/.f64 1 re)
(exp.f64 (*.f64 (log.f64 re) 1/3))
(cbrt.f64 re)
(log1p.f64 (expm1.f64 re))
re
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) -1)
(+.f64 (exp.f64 (log1p.f64 re)) 1)
(+.f64 1 (exp.f64 (log1p.f64 re)))
(/.f64 re -1)
(pow.f64 re -1)
(/.f64 1 re)
(pow.f64 re 1/3)
(cbrt.f64 re)
(pow.f64 re 1/6)
(sqrt.f64 re)
(fabs.f64 re)
re
(log.f64 (exp.f64 re))
re
(log.f64 (+.f64 -1 (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
re
(exp.f64 (log.f64 re))
re
(exp.f64 (*.f64 (log.f64 re) -1))
(/.f64 1 re)
(exp.f64 (*.f64 (log.f64 re) 1/3))
(cbrt.f64 re)
(log1p.f64 (expm1.f64 re))
re
-1
-1/2
0
(fma.f64 (sin.f64 re) -1 (sin.f64 re))
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
16
27
64
512

eval77.0ms (1%)

Compiler: Compiled 4784 to 2376 computations (50.3% saved)

prune117.0ms (1.5%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	305	8	313
Fresh	2	9	11
Picked	3	2	5
Done	0	4	4
Total	310	23	333

Accurracy

100.0%

Counts

333 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.6%	(fma.f64 re -512 re)
	13.4%	(pow.f64 re -512)
	5.5%	(/.f64 re (+.f64 re (-.f64 re re)))
	2.7%	(/.f64 re -512)
	3.9%	(/.f64 1 re)
	55.3%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
✓	74.6%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
	32.7%	(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
▶	45.7%	(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
▶	43.0%	(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
✓	6.6%	(+.f64 re re)
✓	43.0%	(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
	5.8%	(*.f64 (+.f64 1 512) re)
▶	6.6%	(*.f64 (+.f64 1 -1/2) re)
	22.2%	(.f64 (.f64 im im) (*.f64 re 1/2))
▶	56.5%	(.f64 (.f64 1/2 (-.f64 (-.f64 (sin.f64 re) -1) 1)) (+.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)))
✓	58.3%	(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	9.6%	(*.f64 re re)
✓	53.0%	(sin.f64 re)
▶	2.6%	(neg.f64 re)
	33.8%	(log1p.f64 (expm1.f64 re))
	24.2%	re
	2.6%	(fma.f64 re -512 re)
	13.4%	(pow.f64 re -512)
	5.5%	(/.f64 re (+.f64 re (-.f64 re re)))
	2.7%	(/.f64 re -512)
	3.9%	(/.f64 1 re)
	55.3%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
✓	74.6%	(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
	32.7%	(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
▶	45.7%	(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
▶	43.0%	(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
✓	6.6%	(+.f64 re re)
✓	43.0%	(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
	5.8%	(*.f64 (+.f64 1 512) re)
▶	6.6%	(*.f64 (+.f64 1 -1/2) re)
	22.2%	(.f64 (.f64 im im) (*.f64 re 1/2))
▶	56.5%	(.f64 (.f64 1/2 (-.f64 (-.f64 (sin.f64 re) -1) 1)) (+.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)))
✓	58.3%	(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	9.6%	(*.f64 re re)
✓	53.0%	(sin.f64 re)
▶	2.6%	(neg.f64 re)
	33.8%	(log1p.f64 (expm1.f64 re))
	24.2%	re

Compiler

Compiled 658 to 480 computations (27.1% saved)

localize242.0ms (3.2%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sin.f64 re)
✓	100.0%	(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
	94.0%	(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
✓	100.0%	(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
✓	87.6%	(.f64 re (.f64 im im))
	100.0%	(sin.f64 re)
✓	100.0%	(.f64 (.f64 1/2 (-.f64 (-.f64 (sin.f64 re) -1) 1)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	99.3%	(-.f64 (sin.f64 re) -1)
✓	57.3%	(-.f64 (-.f64 (sin.f64 re) -1) 1)

Compiler

Compiled 127 to 58 computations (54.3% saved)

series5.0ms (0.1%)

Counts

6 → 120

Calls

30 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`add-sqr-sqrt`
532×	`pow1`
532×	`*-un-lft-identity`
504×	`add-exp-log`
504×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	66
1	533	66

Stop Event

1×	node limit

Counts

6 → 108

Calls

Call 1

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

Outputs
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
re
im
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
re
im
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
re
im
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
re
im
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
re
im
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
re
im

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1548×	`unswap-sqr`
1324×	`associate-+r+`
1224×	`associate-+l+`
1198×	`fma-def`
1012×	`fma-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	3052
1	300	2848
2	952	2740
3	3728	2708
4	6929	2692

Stop Event

1×	node limit

Counts

228 → 118

Calls

Call 1

Inputs
re
(+.f64 re (*.f64 -1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 re (.f64 -1/6 (pow.f64 re 3))))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 re (+.f64 (.f64 -1/6 (pow.f64 re 3)) (*.f64 -1/5040 (pow.f64 re 7)))))
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
1
(+.f64 1 re)
(+.f64 1 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 1 (+.f64 re (.f64 -1/6 (pow.f64 re 3)))))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(+.f64 1 (sin.f64 re))
(.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 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/240 (.f64 (pow.f64 re 5) (+.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 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/240 (.f64 (pow.f64 re 5) (+.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 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) (.f64 1/24 (.f64 (sin.f64 re) (pow.f64 im 4)))))
(+.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/720 (.f64 (sin.f64 re) (pow.f64 im 6))) (.f64 1/24 (.f64 (sin.f64 re) (pow.f64 im 4))))))
(.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)))))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(.f64 -1 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 im 2)) 1) re))
(.f64 -1 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 im 2)) 1) re))
(.f64 -1 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 im 2)) 1) re))
(.f64 -1 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 im 2)) 1) re))
re
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(.f64 1/2 (.f64 re (pow.f64 im 2)))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(.f64 1/2 (.f64 re (pow.f64 im 2)))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 1/2 (.f64 re (pow.f64 im 2))))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (pow.f64 im 2))) (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (pow.f64 im 2))) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re) (.f64 1/240 (.f64 (pow.f64 re 5) (pow.f64 im 2)))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (pow.f64 im 2))) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re) (+.f64 (.f64 1/240 (.f64 (pow.f64 re 5) (pow.f64 im 2))) (.f64 -1/10080 (.f64 (pow.f64 re 7) (pow.f64 im 2))))))
re
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
re
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
re
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27

Outputs
re
(+.f64 re (*.f64 -1/6 (pow.f64 re 3)))
(fma.f64 -1/6 (pow.f64 re 3) re)
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 re (.f64 -1/6 (pow.f64 re 3))))
(fma.f64 1/120 (pow.f64 re 5) (+.f64 re (*.f64 -1/6 (pow.f64 re 3))))
(fma.f64 1/120 (pow.f64 re 5) (fma.f64 -1/6 (pow.f64 re 3) re))
(fma.f64 -1/6 (pow.f64 re 3) (fma.f64 1/120 (pow.f64 re 5) re))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 re (+.f64 (.f64 -1/6 (pow.f64 re 3)) (*.f64 -1/5040 (pow.f64 re 7)))))
(fma.f64 1/120 (pow.f64 re 5) (+.f64 re (fma.f64 -1/6 (pow.f64 re 3) (*.f64 -1/5040 (pow.f64 re 7)))))
(+.f64 (fma.f64 1/120 (pow.f64 re 5) (fma.f64 -1/6 (pow.f64 re 3) re)) (*.f64 -1/5040 (pow.f64 re 7)))
(fma.f64 1/120 (pow.f64 re 5) (fma.f64 -1/6 (pow.f64 re 3) (fma.f64 -1/5040 (pow.f64 re 7) re)))
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
1
(+.f64 1 re)
(+.f64 re 1)
(+.f64 1 (+.f64 re (*.f64 -1/6 (pow.f64 re 3))))
(+.f64 (+.f64 re 1) (*.f64 -1/6 (pow.f64 re 3)))
(+.f64 (fma.f64 -1/6 (pow.f64 re 3) re) 1)
(fma.f64 -1/6 (pow.f64 re 3) (+.f64 re 1))
(+.f64 (.f64 1/120 (pow.f64 re 5)) (+.f64 1 (+.f64 re (.f64 -1/6 (pow.f64 re 3)))))
(fma.f64 1/120 (pow.f64 re 5) (+.f64 (+.f64 re 1) (*.f64 -1/6 (pow.f64 re 3))))
(+.f64 (fma.f64 -1/6 (pow.f64 re 3) re) (fma.f64 1/120 (pow.f64 re 5) 1))
(fma.f64 1/120 (pow.f64 re 5) (fma.f64 -1/6 (pow.f64 re 3) (+.f64 re 1)))
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(+.f64 1 (sin.f64 re))
(+.f64 (sin.f64 re) 1)
(.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (.f64 1/2 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 re (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 1/2))
(*.f64 1/2 (fma.f64 re (exp.f64 im) (/.f64 re (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 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (*.f64 1/2 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 re 1/2) (*.f64 (pow.f64 re 3) -1/12)))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re 3) -1/12 (.f64 re 1/2)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(fma.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (.f64 1/240 (pow.f64 re 5)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(fma.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 re 1/2) (.f64 (pow.f64 re 5) 1/240))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 (pow.f64 re 3) -1/12) (fma.f64 (pow.f64 re 5) 1/240 (*.f64 re 1/2))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 (pow.f64 re 5) 1/240) (fma.f64 (pow.f64 re 3) -1/12 (*.f64 re 1/2))))
(+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 7) (+.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 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/240 (.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 -1/10080 (.f64 (pow.f64 re 7) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 -1/12 (.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 1/2 (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (*.f64 1/240 (pow.f64 re 5)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 re 1/2) (.f64 (pow.f64 re 5) 1/240))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 (pow.f64 re 7) -1/10080) (.f64 (pow.f64 re 3) -1/12))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (fma.f64 (pow.f64 re 5) 1/240 (.f64 re 1/2)) (fma.f64 (pow.f64 re 7) -1/10080 (*.f64 (pow.f64 re 3) -1/12))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (fma.f64 (pow.f64 re 7) -1/10080 (.f64 (pow.f64 re 3) -1/12)) (fma.f64 (pow.f64 re 5) 1/240 (*.f64 re 1/2))))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (sin.f64 re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 1/2))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) 1/2))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (sin.f64 re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 1/2))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) 1/2))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (sin.f64 re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 1/2))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) 1/2))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (sin.f64 re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 1/2))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) 1/2))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (sin.f64 re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 1/2))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) 1/2))
(.f64 1/2 (.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (sin.f64 re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 1/2))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) 1/2))
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(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
(.f64 (sin.f64 re) (.f64 1/2 (*.f64 im im)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) re)
(fma.f64 (sin.f64 re) (.f64 1/2 (.f64 im im)) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) re)
(fma.f64 (sin.f64 re) (.f64 1/2 (.f64 im im)) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) re)
(fma.f64 (sin.f64 re) (.f64 1/2 (.f64 im im)) re)
(.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2)))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
(.f64 (sin.f64 re) (.f64 1/2 (*.f64 im im)))
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) re)
(fma.f64 (sin.f64 re) (.f64 1/2 (.f64 im im)) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) re)
(fma.f64 (sin.f64 re) (.f64 1/2 (.f64 im im)) re)
(+.f64 (.f64 1/2 (.f64 (sin.f64 re) (pow.f64 im 2))) re)
(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) re)
(fma.f64 (sin.f64 re) (.f64 1/2 (.f64 im im)) re)
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27
-2
-1
-1/2
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
9
27

eval79.0ms (1%)

Compiler: Compiled 4268 to 2317 computations (45.7% saved)

prune50.0ms (0.7%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	257	8	265
Fresh	1	11	12
Picked	2	3	5
Done	2	4	6
Total	262	26	288

Accurracy

100.0%

Counts

288 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.6%	(fma.f64 re -512 re)
	13.4%	(pow.f64 re -512)
	5.5%	(/.f64 re (+.f64 re (-.f64 re re)))
	2.7%	(/.f64 re -512)
	3.9%	(/.f64 1 re)
	32.7%	(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
	46.7%	(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
✓	6.6%	(+.f64 re re)
	3.2%	(+.f64 re 64)
	3.1%	(+.f64 re -4)
	74.6%	(.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re))
	5.8%	(*.f64 (+.f64 1 512) re)
✓	6.6%	(*.f64 (+.f64 1 -1/2) re)
	22.2%	(.f64 (.f64 im im) (*.f64 re 1/2))
✓	56.5%	(.f64 (.f64 1/2 (-.f64 (-.f64 (sin.f64 re) -1) 1)) (+.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)))
	25.1%	(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
✓	58.3%	(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	28.1%	(.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	43.0%	(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
	9.6%	(*.f64 re re)
	16.4%	(.f64 im (.f64 (*.f64 1/2 im) re))
✓	53.0%	(sin.f64 re)
✓	2.6%	(neg.f64 re)
	33.8%	(log1p.f64 (expm1.f64 re))
	24.2%	re

Compiler

Compiled 486 to 300 computations (38.3% saved)

regimes113.0ms (1.5%)

Counts

39 → 1

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)
(pow.f64 re -512)
(+.f64 (sin.f64 re) -512)
(fma.f64 re -512 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
(log1p.f64 (expm1.f64 re))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) -2) -2)
(.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re))
(.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (-.f64 (-.f64 (sin.f64 re) -1) 1)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
(.f64 (.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) 1)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

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

Calls

6 calls:

27.0ms	(sin.f64 re)
21.0ms	im
19.0ms	(*.f64 1/2 (sin.f64 re))
18.0ms	re
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 315 to 174 computations (44.8% saved)

regimes296.0ms (3.9%)

Counts

34 → 3

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)
(pow.f64 re -512)
(+.f64 (sin.f64 re) -512)
(fma.f64 re -512 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
(log1p.f64 (expm1.f64 re))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) -2) -2)
(.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re))
(.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
(+.f64 (sin.f64 re) (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))

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

Calls

4 calls:

107.0ms	(*.f64 1/2 (sin.f64 re))
84.0ms	re
49.0ms	im
46.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
87.3%	3	`re`
93.4%	3	`im`
87.7%	3	`(*.f64 1/2 (sin.f64 re))`
87.7%	3	`(sin.f64 re)`

Compiler

Compiled 224 to 126 computations (43.8% saved)

regimes203.0ms (2.7%)

Counts

31 → 5

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)
(pow.f64 re -512)
(+.f64 (sin.f64 re) -512)
(fma.f64 re -512 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
(log1p.f64 (expm1.f64 re))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) -2) -2)
(.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re))
(.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Outputs
(.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re))
(.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(log1p.f64 (expm1.f64 re))
(.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))

Calls

4 calls:

68.0ms	im
43.0ms	re
43.0ms	(*.f64 1/2 (sin.f64 re))
40.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
76.5%	3	`re`
76.5%	3	`(*.f64 1/2 (sin.f64 re))`
76.5%	3	`(sin.f64 re)`
86.1%	5	`im`

Compiler

Compiled 187 to 110 computations (41.2% saved)

regimes70.0ms (0.9%)

Counts

30 → 4

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)
(pow.f64 re -512)
(+.f64 (sin.f64 re) -512)
(fma.f64 re -512 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
(log1p.f64 (expm1.f64 re))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) -2) -2)
(.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re))

Outputs
(.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re))
(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
(log1p.f64 (expm1.f64 re))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))

Calls

1 calls:

64.0ms

im

Results

Accuracy	Segments	Branch
82.9%	4	`im`

Compiler

Compiled 164 to 92 computations (43.9% saved)

regimes61.0ms (0.8%)

Counts

29 → 4

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)
(pow.f64 re -512)
(+.f64 (sin.f64 re) -512)
(fma.f64 re -512 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
(log1p.f64 (expm1.f64 re))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) -2) -2)

Outputs
(sin.f64 re)
(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
(log1p.f64 (expm1.f64 re))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))

Calls

1 calls:

55.0ms

im

Results

Accuracy	Segments	Branch
82.8%	4	`im`

Compiler

Compiled 155 to 87 computations (43.9% saved)

regimes64.0ms (0.8%)

Counts

26 → 4

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)
(pow.f64 re -512)
(+.f64 (sin.f64 re) -512)
(fma.f64 re -512 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))
(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))

Outputs
(sin.f64 re)
(+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im)))
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))

Calls

1 calls:

59.0ms

im

Results

Accuracy	Segments	Branch
82.1%	4	`im`

Compiler

Compiled 141 to 80 computations (43.3% saved)

regimes50.0ms (0.7%)

Counts

25 → 4

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)
(pow.f64 re -512)
(+.f64 (sin.f64 re) -512)
(fma.f64 re -512 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))
(.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) re)
(+.f64 re (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))

Outputs
(sin.f64 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))

Calls

1 calls:

46.0ms

im

Results

Accuracy	Segments	Branch
81.6%	4	`im`

Compiler

Compiled 126 to 71 computations (43.7% saved)

regimes168.0ms (2.2%)

Counts

22 → 3

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)
(pow.f64 re -512)
(+.f64 (sin.f64 re) -512)
(fma.f64 re -512 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))

Outputs
(sin.f64 re)
(+.f64 re (*.f64 (pow.f64 re 3) -1/6))
(.f64 (.f64 im im) (*.f64 re 1/2))

Calls

3 calls:

68.0ms	re
66.0ms	(sin.f64 re)
30.0ms	im

Results

Accuracy	Segments	Branch
67.6%	7	`re`
67.5%	7	`(sin.f64 re)`
75.3%	3	`im`

Compiler

Compiled 106 to 62 computations (41.5% saved)

regimes42.0ms (0.6%)

Counts

21 → 3

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)
(pow.f64 re -512)
(+.f64 (sin.f64 re) -512)
(fma.f64 re -512 re)

Outputs
(sin.f64 re)
(pow.f64 re -512)
(.f64 (.f64 im im) (*.f64 re 1/2))

Calls

1 calls:

38.0ms

im

Results

Accuracy	Segments	Branch
74.4%	3	`im`

Compiler

Compiled 92 to 52 computations (43.5% saved)

regimes21.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)
(sin.f64 re)

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

Calls

1 calls:

17.0ms

im

Results

Accuracy	Segments	Branch
71.7%	2	`im`

Compiler

Compiled 81 to 46 computations (43.2% saved)

regimes39.0ms (0.5%)

Counts

17 → 2

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))
(.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 re (.f64 1/2 (.f64 re (*.f64 im im))))
(cbrt.f64 re)
(fabs.f64 re)

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

Calls

2 calls:

26.0ms	re
8.0ms	im

Results

Accuracy	Segments	Branch
45.7%	2	`re`
43.0%	1	`im`

Compiler

Compiled 82 to 47 computations (42.7% saved)

regimes47.0ms (0.6%)

Counts

13 → 2

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))
(.f64 (.f64 im im) (*.f64 re 1/2))
(/.f64 re (+.f64 re (-.f64 re re)))

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

Calls

2 calls:

30.0ms	re
14.0ms	im

Results

Accuracy	Segments	Branch
42.9%	2	`im`
35.1%	4	`re`

Compiler

Compiled 60 to 36 computations (40% saved)

regimes52.0ms (0.7%)

Counts

11 → 2

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)
(.f64 im (.f64 (*.f64 1/2 im) re))

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

Calls

1 calls:

50.0ms

im

Results

Accuracy	Segments	Branch
37.1%	2	`im`

Compiler

Compiled 43 to 27 computations (37.2% saved)

regimes33.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

Inputs
re
(neg.f64 re)
(*.f64 re re)
(+.f64 re -4)
(+.f64 re 64)
(+.f64 re re)
(/.f64 1 re)
(/.f64 re -512)
(*.f64 (+.f64 1 -1/2) re)
(*.f64 (+.f64 1 512) re)

Outputs
re
(*.f64 re re)

Calls

2 calls:

19.0ms	re
12.0ms	im

Results

Accuracy	Segments	Branch
30.5%	3	`re`
30.4%	2	`im`

Compiler

Compiled 39 to 25 computations (35.9% saved)

regimes8.0ms (0.1%)

Accuracy

Total -14.6b remaining (-30.1%)

Threshold costs -14.6b (-30.1%)

Counts

2 → 1

Calls

Call 1

Inputs
re
(neg.f64 re)

Outputs
re

Calls

2 calls:

4.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
24.2%	1	`re`
24.2%	1	`im`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.0128551267803953e+149	2.333986985252666e+151
21.0ms	2.4910265840262235e-5	9.215492315965691e-5

Results

12.0ms	72×	body	256	infinite
10.0ms	22×	body	1024	valid
8.0ms	25×	body	1024	infinite
7.0ms	46×	body	256	valid
3.0ms	15×	body	512	infinite
3.0ms	12×	body	512	valid

Compiler

Compiled 312 to 236 computations (24.4% saved)

bsearch160.0ms (2.1%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
43.0ms	2.333986985252666e+151	1.3657274179653269e+157
26.0ms	1.2459920426250981e+143	1.6334952985757408e+145
50.0ms	8.679427186549368e+112	1.5021401854899243e+114
41.0ms	9.215492315965691e-5	216.37910026140983

Results

58.0ms	91×	body	1024	infinite
44.0ms	227×	body	256	infinite
20.0ms	35×	body	1024	valid
14.0ms	92×	body	256	valid
11.0ms	50×	body	512	infinite
4.0ms	17×	body	512	valid

Compiler

Compiled 726 to 590 computations (18.7% saved)

bsearch123.0ms (1.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
59.0ms	1.0128551267803953e+149	2.333986985252666e+151
29.0ms	8.679427186549368e+112	1.5021401854899243e+114
34.0ms	150679897.59147745	188594248613.4914

Results

67.0ms	215×	body	256	infinite
32.0ms	93×	body	1024	infinite
18.0ms	44×	body	512	infinite

Compiler

Compiled 546 to 408 computations (25.3% saved)

bsearch83.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
33.0ms	1.0128551267803953e+149	2.333986985252666e+151
27.0ms	8.679427186549368e+112	1.5021401854899243e+114
23.0ms	2.4910265840262235e-5	9.215492315965691e-5

Results

27.0ms	55×	body	1024	infinite
19.0ms	140×	body	256	infinite
10.0ms	48×	body	256	valid
9.0ms	24×	body	1024	valid
7.0ms	29×	body	512	infinite
2.0ms	8×	body	512	valid

Compiler

Compiled 421 to 317 computations (24.7% saved)

bsearch68.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	1.0128551267803953e+149	2.333986985252666e+151
21.0ms	9.630489224188717e+111	8.679427186549368e+112
22.0ms	2.4910265840262235e-5	9.215492315965691e-5

Results

18.0ms	54×	body	1024	infinite
18.0ms	126×	body	256	infinite
11.0ms	28×	body	1024	valid
6.0ms	28×	body	512	infinite
6.0ms	41×	body	256	valid
4.0ms	11×	body	512	valid

Compiler

Compiled 449 to 325 computations (27.6% saved)

bsearch83.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
28.0ms	1.0128551267803953e+149	2.333986985252666e+151
27.0ms	2.177783736464695e+96	2.904550546310984e+98
28.0ms	188594248613.4914	17354637624245.549

Results

38.0ms	201×	body	256	infinite
28.0ms	88×	body	1024	infinite
13.0ms	47×	body	512	infinite

Compiler

Compiled 411 to 309 computations (24.8% saved)

bsearch56.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.177783736464695e+96	2.904550546310984e+98
29.0ms	188594248613.4914	17354637624245.549

Results

28.0ms	69×	body	1024	infinite
20.0ms	133×	body	256	infinite
5.0ms	22×	body	512	infinite

Compiler

Compiled 264 to 204 computations (22.7% saved)

bsearch62.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	4.467302837481794e+102	1.6959557774103464e+106
32.0ms	150679897.59147745	188594248613.4914

Results

27.0ms	164×	body	256	infinite
25.0ms	63×	body	1024	infinite
7.0ms	29×	body	512	infinite

Compiler

Compiled 235 to 183 computations (22.1% saved)

bsearch37.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	2.4910265840262235e-5	9.215492315965691e-5

Results

27.0ms	26×	body	1024	valid
7.0ms	48×	body	256	valid
1.0ms	6×	body	512	valid

Compiler

Compiled 104 to 80 computations (23.1% saved)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-8.716082114261514e+121	-1.710729857782316e+121

Results

14.0ms	54×	body	512	infinite
10.0ms	42×	body	512	valid

Compiler

Compiled 127 to 93 computations (26.8% saved)

bsearch36.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	9.215492315965691e-5	216.37910026140983

Results

15.0ms	96×	body	256	valid
15.0ms	32×	body	1024	valid
4.0ms	16×	body	512	valid

Compiler

Compiled 145 to 105 computations (27.6% saved)

bsearch36.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	9.215492315965691e-5	216.37910026140983

Results

15.0ms	33×	body	1024	valid
14.0ms	94×	body	256	valid
4.0ms	17×	body	512	valid

Compiler

Compiled 145 to 105 computations (27.6% saved)

bsearch36.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	23257748811933405000.0	1.6948905402076983e+30

Results

16.0ms	40×	body	1024	infinite
15.0ms	103×	body	256	infinite
4.0ms	17×	body	512	infinite

Compiler

Compiled 119 to 85 computations (28.6% saved)

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
10×	`+-commutative`
2×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	985
1	137	985
2	139	985
3	140	985

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 6640827866535439/73786976294838206464) (.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re)) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))))
(if (<=.f64 im 78) (.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re)) (if (<=.f64 im 1500000000000000023339124194200264536402302095381592150054655870646250671747133554897478084872571171514309421301760) (.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (if (<=.f64 im 2300000000000000141260422366173006683865356488477334763577628079435814062024134211113724413822792296496695919762194082517800192834608807274348544) (log1p.f64 (expm1.f64 re)) (if (<=.f64 im 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))))))
(if (<=.f64 im 155000000) (.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re)) (if (<=.f64 im 102000000000000002270576296700309214841763488460204942876582046358073932061858396236138822021139815670320908468224) (+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im))) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (log1p.f64 (expm1.f64 re)) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))))
(if (<=.f64 im 6640827866535439/73786976294838206464) (sin.f64 re) (if (<=.f64 im 430000000000000034031182995458391555091604439646323483263619235750413981222977532528356207655669442794683413561344) (+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im))) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (log1p.f64 (expm1.f64 re)) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))))
(if (<=.f64 im 6640827866535439/73786976294838206464) (sin.f64 re) (if (<=.f64 im 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392) (+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im))) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (.f64 im (.f64 (.f64 1/2 im) re)) (.f64 (.f64 1/2 (sin.f64 re)) (.f64 im im)))))
(if (<=.f64 im 220000000000) (sin.f64 re) (if (<=.f64 im 8199999999999999958295384929408143107284784714789002604269957700077742082276956794560993871003648) (+.f64 re (.f64 (pow.f64 re 3) -1/6)) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (.f64 im (.f64 (.f64 1/2 im) re)) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))))
(if (<=.f64 im 190000000000) (sin.f64 re) (if (<=.f64 im 57999999999999997437705358936173725754707894306195593270914432285162198633149700183558564331126784) (+.f64 re (.f64 (pow.f64 re 3) -1/6)) (.f64 (.f64 im im) (.f64 re 1/2))))
(if (<=.f64 im 155000000) (sin.f64 re) (if (<=.f64 im 160000000000000000306508013717546997794552820362430721784448562335900691872638200953797783217308851765248) (pow.f64 re -512) (.f64 (.f64 im im) (*.f64 re 1/2))))
(if (<=.f64 im 4574792530279969/73786976294838206464) (sin.f64 re) (.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im)))))
(if (<=.f64 re -34000000000000001040241885803956473884855048035063495215837784478457104900524206205994997853983349004176301388750884175872) (.f64 re re) (.f64 re (+.f64 1 (.f64 1/2 (.f64 im im)))))
(if (<=.f64 im 6530219459687219/4503599627370496) re (.f64 (.f64 im im) (*.f64 re 1/2)))
(if (<=.f64 im 6530219459687219/4503599627370496) re (.f64 im (.f64 (*.f64 1/2 im) re)))
(if (<=.f64 im 23500000000000000000) re (*.f64 re re))
re

Outputs
(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im 6640827866535439/73786976294838206464) (.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re)) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (.f64 (.f64 1/2 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))))
(if (<=.f64 im 6640827866535439/73786976294838206464) (.f64 (sin.f64 re) (fma.f64 im (.f64 1/2 im) 1)) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 re)) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))))
(if (<=.f64 im 78) (.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re)) (if (<=.f64 im 1500000000000000023339124194200264536402302095381592150054655870646250671747133554897478084872571171514309421301760) (.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (if (<=.f64 im 2300000000000000141260422366173006683865356488477334763577628079435814062024134211113724413822792296496695919762194082517800192834608807274348544) (log1p.f64 (expm1.f64 re)) (if (<=.f64 im 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (.f64 (.f64 1/2 3/2) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))))))
(if (<=.f64 im 78) (.f64 (sin.f64 re) (fma.f64 im (.f64 1/2 im) 1)) (if (<=.f64 im 1500000000000000023339124194200264536402302095381592150054655870646250671747133554897478084872571171514309421301760) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3/4) (if (<=.f64 im 2300000000000000141260422366173006683865356488477334763577628079435814062024134211113724413822792296496695919762194082517800192834608807274348544) (log1p.f64 (expm1.f64 re)) (if (<=.f64 im 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3/4) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im))))))
(if (<=.f64 im 155000000) (.f64 (fma.f64 im (.f64 1/2 im) 1) (sin.f64 re)) (if (<=.f64 im 102000000000000002270576296700309214841763488460204942876582046358073932061858396236138822021139815670320908468224) (+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im))) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (log1p.f64 (expm1.f64 re)) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))))
(if (<=.f64 im 155000000) (.f64 (sin.f64 re) (fma.f64 im (.f64 1/2 im) 1)) (if (<=.f64 im 102000000000000002270576296700309214841763488460204942876582046358073932061858396236138822021139815670320908468224) (+.f64 re (.f64 (.f64 im im) (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))))) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (log1p.f64 (expm1.f64 re)) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))))
(if (<=.f64 im 6640827866535439/73786976294838206464) (sin.f64 re) (if (<=.f64 im 430000000000000034031182995458391555091604439646323483263619235750413981222977532528356207655669442794683413561344) (+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im))) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (log1p.f64 (expm1.f64 re)) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))))
(if (<=.f64 im 6640827866535439/73786976294838206464) (sin.f64 re) (if (<=.f64 im 430000000000000034031182995458391555091604439646323483263619235750413981222977532528356207655669442794683413561344) (+.f64 re (.f64 (.f64 im im) (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))))) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (log1p.f64 (expm1.f64 re)) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))))
(if (<=.f64 im 6640827866535439/73786976294838206464) (sin.f64 re) (if (<=.f64 im 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392) (+.f64 re (.f64 (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))) (.f64 im im))) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (.f64 im (.f64 (.f64 1/2 im) re)) (.f64 (.f64 1/2 (sin.f64 re)) (.f64 im im)))))
(if (<=.f64 im 6640827866535439/73786976294838206464) (sin.f64 re) (if (<=.f64 im 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392) (+.f64 re (.f64 (.f64 im im) (.f64 1/2 (+.f64 re (.f64 (pow.f64 re 3) -1/6))))) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (.f64 im (.f64 re (.f64 1/2 im))) (.f64 (.f64 1/2 (sin.f64 re)) (.f64 im im)))))
(if (<=.f64 im 220000000000) (sin.f64 re) (if (<=.f64 im 8199999999999999958295384929408143107284784714789002604269957700077742082276956794560993871003648) (+.f64 re (.f64 (pow.f64 re 3) -1/6)) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (.f64 im (.f64 (.f64 1/2 im) re)) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))))
(if (<=.f64 im 220000000000) (sin.f64 re) (if (<=.f64 im 8199999999999999958295384929408143107284784714789002604269957700077742082276956794560993871003648) (+.f64 re (.f64 (pow.f64 re 3) -1/6)) (if (<=.f64 im 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496) (.f64 im (.f64 re (.f64 1/2 im))) (.f64 (.f64 1/2 (sin.f64 re)) (*.f64 im im)))))
(if (<=.f64 im 190000000000) (sin.f64 re) (if (<=.f64 im 57999999999999997437705358936173725754707894306195593270914432285162198633149700183558564331126784) (+.f64 re (.f64 (pow.f64 re 3) -1/6)) (.f64 (.f64 im im) (.f64 re 1/2))))
(if (<=.f64 im 190000000000) (sin.f64 re) (if (<=.f64 im 57999999999999997437705358936173725754707894306195593270914432285162198633149700183558564331126784) (+.f64 re (.f64 (pow.f64 re 3) -1/6)) (.f64 (.f64 1/2 re) (.f64 im im))))
(if (<=.f64 im 155000000) (sin.f64 re) (if (<=.f64 im 160000000000000000306508013717546997794552820362430721784448562335900691872638200953797783217308851765248) (pow.f64 re -512) (.f64 (.f64 im im) (*.f64 re 1/2))))
(if (<=.f64 im 155000000) (sin.f64 re) (if (<=.f64 im 160000000000000000306508013717546997794552820362430721784448562335900691872638200953797783217308851765248) (pow.f64 re -512) (.f64 (.f64 1/2 re) (*.f64 im im))))
(if (<=.f64 im 4574792530279969/73786976294838206464) (sin.f64 re) (.f64 re (+.f64 1 (.f64 1/2 (*.f64 im im)))))
(if (<=.f64 re -34000000000000001040241885803956473884855048035063495215837784478457104900524206205994997853983349004176301388750884175872) (.f64 re re) (.f64 re (+.f64 1 (.f64 1/2 (.f64 im im)))))
(if (<=.f64 im 6530219459687219/4503599627370496) re (.f64 (.f64 im im) (*.f64 re 1/2)))
(if (<=.f64 im 6530219459687219/4503599627370496) re (.f64 (.f64 1/2 re) (*.f64 im im)))
(if (<=.f64 im 6530219459687219/4503599627370496) re (.f64 im (.f64 (*.f64 1/2 im) re)))
(if (<=.f64 im 6530219459687219/4503599627370496) re (.f64 im (.f64 re (*.f64 1/2 im))))
(if (<=.f64 im 23500000000000000000) re (*.f64 re re))
re

Compiler

Compiled 403 to 265 computations (34.2% saved)

soundness1.2s (15.3%)

Rules

1568×	`unswap-sqr`
1548×	`unswap-sqr`
1548×	`unswap-sqr`
1548×	`unswap-sqr`
1548×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	30	35
2	74	35
3	141	33
4	189	33
5	256	33
6	438	33
7	1104	33
8	3158	33
9	3540	33
10	4031	33
11	5670	33
12	6650	33
0	20	100
1	435	100
2	7143	100
0	23	55
1	485	55
2	7203	55
0	143	1438
1	385	1438
2	1803	1438
0	252	3896
1	568	3600
2	1356	3422
3	5646	3384
0	111	3052
1	300	2848
2	952	2740
3	3728	2708
4	6929	2692
0	252	3896
1	568	3600
2	1356	3422
3	5646	3384
0	111	3052
1	300	2848
2	952	2740
3	3728	2708
4	6929	2692
0	20	100
1	435	100
2	7143	100
0	143	1438
1	385	1438
2	1803	1438
0	111	3052
1	300	2848
2	952	2740
3	3728	2708
4	6929	2692
0	20	100
1	435	100
2	7143	100
0	13	40
1	273	40
2	4277	40
0	23	55
1	485	55
2	7203	55
0	111	3052
1	300	2848
2	952	2740
3	3728	2708
4	6929	2692
0	24	66
1	533	66

Stop Event

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

Compiler

Compiled 279 to 184 computations (34.1% saved)

end0.0ms (0%)

preprocess232.0ms (3%)

Remove: (abs im)
Compiler: Compiled 804 to 452 computations (43.8% saved)

analyze0.0ms (0%)

sample1.9s (25.1%)

preprocess89.0ms (1.2%)

simplify84.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize71.0ms (0.9%)

series7.0ms (0.1%)

rewrite38.0ms (0.5%)

simplify30.0ms (0.4%)

eval18.0ms (0.2%)

prune21.0ms (0.3%)

localize162.0ms (2.1%)

series11.0ms (0.1%)

rewrite46.0ms (0.6%)

simplify92.0ms (1.2%)

eval209.0ms (2.7%)

prune69.0ms (0.9%)

localize227.0ms (3%)

series124.0ms (1.6%)

rewrite45.0ms (0.6%)

simplify107.0ms (1.4%)

eval77.0ms (1%)

prune117.0ms (1.5%)

localize242.0ms (3.2%)

series5.0ms (0.1%)

rewrite51.0ms (0.7%)

simplify98.0ms (1.3%)

eval79.0ms (1%)

prune50.0ms (0.7%)

regimes113.0ms (1.5%)

regimes296.0ms (3.9%)

regimes203.0ms (2.7%)

regimes70.0ms (0.9%)

regimes61.0ms (0.8%)

regimes64.0ms (0.8%)

regimes50.0ms (0.7%)

regimes168.0ms (2.2%)

regimes42.0ms (0.6%)

regimes21.0ms (0.3%)

regimes39.0ms (0.5%)

regimes47.0ms (0.6%)

regimes52.0ms (0.7%)

regimes33.0ms (0.4%)

regimes8.0ms (0.1%)

bsearch46.0ms (0.6%)

bsearch160.0ms (2.1%)

bsearch123.0ms (1.6%)

bsearch83.0ms (1.1%)

bsearch68.0ms (0.9%)

bsearch83.0ms (1.1%)

bsearch56.0ms (0.7%)

bsearch62.0ms (0.8%)

bsearch37.0ms (0.5%)

bsearch26.0ms (0.3%)

bsearch36.0ms (0.5%)

bsearch36.0ms (0.5%)

bsearch36.0ms (0.5%)

simplify25.0ms (0.3%)

soundness1.2s (15.3%)

end0.0ms (0%)

preprocess232.0ms (3%)

Profiling