Metrics for math.exp on complex, imaginary 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 8 to 6 computations (25% saved)

Precisions

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

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

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

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

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

sample1.6s (46%)

Results

1.1s	6224×	256	valid
434.0ms	2031×	256	infinite
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 694.0ms

Operation ival-sin, time spent: 350.0ms, 50.0% of total-time

Operation ival-mult, time spent: 219.0ms, 32.0% of total-time

Operation ival-exp, time spent: 116.0ms, 17.0% of total-time

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

Bogosity

preprocess222.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

73×	`fma-define`
39×	`fmm-def`
30×	`associate-r`
26×	`unsub-neg`
24×	`associate-l`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 re)`
-	-	`im`
-	-	`re`
-	-	`(sin.f64 im)`
-	-	`(*.f64 (exp.f64 re) (sin.f64 im))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	586	155
9	586	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 (neg.f64 im)))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (sin.f64 im)))
(neg.f64 (*.f64 (exp.f64 re) (sin.f64 (neg.f64 im))))
(*.f64 (exp.f64 im) (sin.f64 re))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(/.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 (neg.f64 im)))
(*.f64 (exp.f64 re) (neg.f64 (sin.f64 im)))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (sin.f64 im)))
(*.f64 (exp.f64 (neg.f64 re)) (neg.f64 (sin.f64 im)))
(*.f64 (sin.f64 im) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (sin.f64 im) (neg.f64 (exp.f64 re)))
(neg.f64 (*.f64 (exp.f64 re) (sin.f64 (neg.f64 im))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 im) (sin.f64 re))

Symmetry

(negabs im)

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-sin, time spent: 14.0ms, 54.0% of total-time

Operation ival-exp, time spent: 7.0ms, 27.0% of total-time

Operation ival-mult, time spent: 4.0ms, 15.0% of total-time

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize103.0ms (3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sin.f64 im)

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-sin, time spent: 7.0ms, 60.0% of total-time

Operation ival-exp, time spent: 2.0ms, 17.0% of total-time

Operation ival-mult, time spent: 2.0ms, 17.0% of total-time

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

series1.0ms (0%)

Counts

1 → 4

Calls

Call 1

Inputs
#<alt (sin.f64 im)>

Outputs
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(sin im)
0.0ms	im	@	inf	(sin im)
0.0ms	im	@	-inf	(sin im)

rewrite262.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`log1p-expm1-u`
809×	`expm1-log1p-u`
194×	`associate-r`
158×	`associate-l`
157×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	44	8
2	458	8
3	5126	8

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(sin.f64 im)

Outputs
(+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(-.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(*.f64 (sin.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im)))
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 5 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 im #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sin.f64 im)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sin.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 im)))) (sqrt.f64 (log.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 im))
(log.f64 (exp.f64 (sin.f64 im)))
(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 im)))
(log1p.f64 (expm1.f64 (sin.f64 im)))
(exp.f64 (log.f64 (sin.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 im))) #s(literal 2 binary64)))

simplify78.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

385×	`distribute-lft-out`
367×	`fma-define`
355×	`associate-r`
336×	`associate-+l-`
305×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1214
1	319	1198
2	820	1171
3	3568	1122

Stop Event

1×	node limit

Counts

54 → 79

Calls

Call 1

Inputs
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(-.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(*.f64 (sin.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im)))
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 5 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 im #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sin.f64 im)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sin.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 im)))) (sqrt.f64 (log.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 im))
(log.f64 (exp.f64 (sin.f64 im)))
(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 im)))
(log1p.f64 (expm1.f64 (sin.f64 im)))
(exp.f64 (log.f64 (sin.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 im))) #s(literal 2 binary64)))

Outputs
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) im)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) im)
(+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(sin.f64 im)
(+.f64 #s(literal 0 binary64) (sin.f64 im))
(sin.f64 im)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(-.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(sin.f64 im)
(-.f64 (.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(sin.f64 im)
(*.f64 (sin.f64 im) (log.f64 (E.f64)))
(sin.f64 im)
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(sin.f64 im)
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)))
(sin.f64 im)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im)))
(sin.f64 im)
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)))
(sin.f64 im)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))))
(sin.f64 im)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 im))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64)))) (.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (sin.f64 im)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64)))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))))
(sin.f64 im)
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 im))))
(sin.f64 im)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 im))
(sin.f64 im)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64))))
(.f64 (.f64 (sqrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (sin.f64 im)) (.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64))))
(.f64 (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(sin.f64 im)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 5 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 5 binary64))))
(.f64 (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64)))) (.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (sin.f64 im)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(sin.f64 im)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(sin.f64 im)
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 im #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 im #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) (+.f64 #s(literal 1 binary64) (sin.f64 im)) (+.f64 (sin.f64 im) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) (+.f64 #s(literal 1 binary64) (sin.f64 im)) (+.f64 #s(literal 2 binary64) (sin.f64 im))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) (+.f64 #s(literal 2 binary64) (sin.f64 im)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (sin.f64 im)) (+.f64 #s(literal 2 binary64) (sin.f64 im)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sin.f64 im)
(pow.f64 (sin.f64 im) #s(literal 1 binary64))
(sin.f64 im)
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64))
(sin.f64 im)
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sin.f64 im)
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 im)
(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2 binary64))
(sin.f64 im)
(pow.f64 (E.f64) (log.f64 (sin.f64 im)))
(sin.f64 im)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sin.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 im)))) (sqrt.f64 (log.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
(sin.f64 im)
(fabs.f64 (sin.f64 im))
(sin.f64 im)
(log.f64 (exp.f64 (sin.f64 im)))
(sin.f64 im)
(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(sin.f64 im)
(expm1.f64 (log1p.f64 (sin.f64 im)))
(sin.f64 im)
(log1p.f64 (expm1.f64 (sin.f64 im)))
(sin.f64 im)
(exp.f64 (log.f64 (sin.f64 im)))
(sin.f64 im)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)))
(sin.f64 im)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 im))) #s(literal 1/3 binary64)))
(sin.f64 im)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 im))) #s(literal 2 binary64)))
(sin.f64 im)

eval49.0ms (1.4%)

Compiler: Compiled 1096 to 583 computations (46.8% saved)

prune11.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	3	80

Accuracy

100.0%

Counts

80 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	69.9%	(*.f64 (exp.f64 re) im)

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize174.0ms (5.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(sin.f64 im)
✓	99.0%	(cbrt.f64 (sin.f64 im))
✓	98.9%	(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64))

Compiler

Compiled 34 to 13 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

Operation ival-sin, time spent: 15.0ms, 42.0% of total-time

Operation ival-pow, time spent: 11.0ms, 31.0% of total-time

Operation ival-mult, time spent: 4.0ms, 11.0% of total-time

Operation ival-exp, time spent: 2.0ms, 6.0% of total-time

Operation ival-cbrt, time spent: 2.0ms, 6.0% of total-time

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

series5.0ms (0.1%)

Counts

2 → 16

Calls

Call 1

Inputs
#<alt (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sin.f64 im))>

Outputs
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (sin.f64 im)>
#<alt (cbrt.f64 im)>
#<alt (+.f64 (cbrt.f64 im) (*.f64 #s(literal -1/18 binary64) (cbrt.f64 (pow.f64 im #s(literal 7 binary64)))))>
#<alt (+.f64 (cbrt.f64 im) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/360 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (+.f64 (cbrt.f64 im) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/324 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/360 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))>

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	(cbrt (sin im))
2.0ms	im	@	-inf	(cbrt (sin im))
1.0ms	im	@	0	(cbrt (sin im))
0.0ms	im	@	0	(pow (cbrt (sin im)) 3)
0.0ms	im	@	-inf	(pow (cbrt (sin im)) 3)

rewrite178.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

404×	`log1p-expm1-u`
344×	`associate-r`
264×	`associate-l`
251×	`unpow-prod-down`
237×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	80	20
2	728	20
3	7675	20

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64))
(cbrt.f64 (sin.f64 im))

Outputs
(+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 im))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(-.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 im)))
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 5 binary64))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64)))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (cbrt.f64 (sin.f64 im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 5 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) #s(literal 1 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im)))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/12 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 im #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 im))
(log.f64 (exp.f64 (sin.f64 im)))
(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(sin.f64 im)
(expm1.f64 (log1p.f64 (sin.f64 im)))
(log1p.f64 (expm1.f64 (sin.f64 im)))
(exp.f64 (log.f64 (sin.f64 im)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 im)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 im))) #s(literal 2 binary64)))
(+.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (sin.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))))
(-.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im)))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 im) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2/3 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 im))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (sin.f64 im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 im))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 im)))))
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 (sin.f64 im)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 im))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 im))))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (sin.f64 im))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))) #s(literal 3/2 binary64)))

simplify108.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-+l-`
611×	`fma-define`
586×	`associate-+r-`
412×	`distribute-lft-in`
353×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	309	8589938510
1	590	8589938476
2	1534	8589938410
3	4794	8589938315

Stop Event

1×	node limit

Counts

127 → 168

Calls

Call 1

Inputs
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(cbrt.f64 im)
(+.f64 (cbrt.f64 im) (*.f64 #s(literal -1/18 binary64) (cbrt.f64 (pow.f64 im #s(literal 7 binary64)))))
(+.f64 (cbrt.f64 im) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/360 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))))
(+.f64 (cbrt.f64 im) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/324 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/360 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 im))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(-.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 im)))
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 5 binary64))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64)))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (cbrt.f64 (sin.f64 im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 5 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) #s(literal 1 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im)))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/12 binary64))) (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 im #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 im) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) (+.f64 (sin.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 im))
(log.f64 (exp.f64 (sin.f64 im)))
(cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)))
(sin.f64 im)
(expm1.f64 (log1p.f64 (sin.f64 im)))
(log1p.f64 (expm1.f64 (sin.f64 im)))
(exp.f64 (log.f64 (sin.f64 im)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 im)) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 im))) #s(literal 2 binary64)))
(+.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (sin.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))))
(-.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 im) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 im)))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 im) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2/3 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 im))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (sin.f64 im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 im))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 im)))))
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 (sin.f64 im)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 im))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 im))))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (sin.f64 im))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))) #s(literal 3/2 binary64)))

Outputs
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) im)
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(+.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)) im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(cbrt.f64 im)
(+.f64 (cbrt.f64 im) (*.f64 #s(literal -1/18 binary64) (cbrt.f64 (pow.f64 im #s(literal 7 binary64)))))
(fma.f64 #s(literal -1/18 binary64) (cbrt.f64 (pow.f64 im #s(literal 7 binary64))) (cbrt.f64 im))
(+.f64 (cbrt.f64 im) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/360 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))))
(+.f64 (cbrt.f64 im) (.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/360 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/360 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))) (cbrt.f64 im))
(+.f64 (cbrt.f64 im) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/324 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/360 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(+.f64 (cbrt.f64 im) (.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/3240 binary64))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/3240 binary64)) (.f64 #s(literal -1/18 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))) (cbrt.f64 im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (+.f64 #s(literal -1/18 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3240 binary64)))) (cbrt.f64 im))
(+.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(sin.f64 im)
(+.f64 #s(literal 0 binary64) (sin.f64 im))
(sin.f64 im)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (sin.f64 im))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sin.f64 im)))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 im)))))
(-.f64 (+.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(sin.f64 im)
(-.f64 (.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (neg.f64 (sin.f64 #s(literal 1 binary64)))))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(sin.f64 im)
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))
(sin.f64 im)
(*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 im)))
(sin.f64 im)
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(sin.f64 im)
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 7 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 6 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))))
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(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (sin.f64 im) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 5 binary64))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 5 binary64)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) (+.f64 #s(literal 2 binary64) (cbrt.f64 (sin.f64 im)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) (+.f64 #s(literal 2 binary64) (cbrt.f64 (sin.f64 im))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 (sin.f64 im))) (+.f64 #s(literal 2 binary64) (cbrt.f64 (sin.f64 im))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) #s(literal 1/3 binary64))
(cbrt.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 1 binary64))
(cbrt.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) #s(literal 3 binary64))
(cbrt.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(cbrt.f64 (sin.f64 im))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (sin.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (sin.f64 im))
(pow.f64 (sqrt.f64 (sin.f64 im)) #s(literal 2/3 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 im))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (sin.f64 im)))
(cbrt.f64 (sin.f64 im))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 im))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 im)))))
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (sin.f64 im)))
(cbrt.f64 (sin.f64 im))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))
(cbrt.f64 (sin.f64 im))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 im))))
(cbrt.f64 (sin.f64 im))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 im))))
(cbrt.f64 (sin.f64 im))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 im))))
(cbrt.f64 (sin.f64 im))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (sin.f64 im))) #s(literal 2 binary64)))
(cbrt.f64 (sin.f64 im))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 2 binary64))) #s(literal 3/2 binary64))

eval292.0ms (8.6%)

Compiler: Compiled 4073 to 2271 computations (44.2% saved)

prune171.0ms (5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	247	3	250

Accuracy

100.0%

Counts

250 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64)))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.9%	(*.f64 (exp.f64 re) im)

Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes23.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) im)
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) #s(literal 3 binary64)))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))

Calls

5 calls:

17.0ms	(sin.f64 im)
1.0ms	re
1.0ms	im
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(sin.f64 im)`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) im)

Outputs
(*.f64 (exp.f64 re) im)

Calls

3 calls:

1.0ms	re
1.0ms	im
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
69.9%	1	`re`
69.9%	1	`im`
69.9%	1	`(exp.f64 re)`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	14	38

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) im)

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) im)

Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess146.0ms (4.3%)

Remove: (negabs im)
Compiler: Compiled 78 to 52 computations (33.3% saved)

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	586	155
9	586	155

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	586	155
9	586	155

analyze0.0ms (0%)

sample1.6s (46%)

preprocess222.0ms (6.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize103.0ms (3%)

series1.0ms (0%)

rewrite262.0ms (7.7%)

simplify78.0ms (2.3%)

eval49.0ms (1.4%)

prune11.0ms (0.3%)

localize174.0ms (5.1%)

series5.0ms (0.1%)

rewrite178.0ms (5.2%)

simplify108.0ms (3.2%)

eval292.0ms (8.6%)

prune171.0ms (5%)

regimes23.0ms (0.7%)

regimes3.0ms (0.1%)

simplify14.0ms (0.4%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess146.0ms (4.3%)

Profiling

Iter	Nodes	Cost
0	22	163
1	46	161
2	86	155
3	157	155
4	314	155
5	527	155
6	563	155
7	577	155
8	586	155
9	586	155