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

sample1.1s (52.2%)

Results

795.0ms	6234×	256	valid
304.0ms	2021×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 444.0ms

Operation ival-sin, time spent: 245.0ms, 55.0% of total-time

Operation ival-exp, time spent: 124.0ms, 28.0% of total-time

Operation ival-mult, time spent: 67.0ms, 15.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

Bogosity

preprocess131.0ms (6%)

Algorithm

1×	egg-herbie

Rules

146×	`fma-define`
78×	`fma-neg`
60×	`associate-r`
52×	`unsub-neg`
48×	`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	585	155
9	585	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: 25.0ms

Operation ival-sin, time spent: 13.0ms, 52.0% of total-time

Operation ival-mult, time spent: 7.0ms, 28.0% of total-time

Operation ival-exp, time spent: 5.0ms, 20.0% 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)

localize37.0ms (1.7%)

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: 15.0ms

Operation ival-sin, time spent: 10.0ms, 68.0% of total-time

Operation ival-exp, time spent: 2.0ms, 14.0% of total-time

Operation ival-mult, time spent: 2.0ms, 14.0% of total-time

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

series1.0ms (0.1%)

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)

rewrite242.0ms (11%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`log1p-expm1-u`
809×	`expm1-log1p-u`
388×	`associate-r`
316×	`associate-l`
252×	`unpow-prod-down`

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)))

simplify60.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

770×	`distribute-lft-out`
734×	`fma-define`
710×	`associate-r`
672×	`associate-+l-`
610×	`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)

eval22.0ms (1%)

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

prune11.0ms (0.5%)

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
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	99.9%	(*.f64 (exp.f64 re) (log1p.f64 (expm1.f64 (sin.f64 im))))
▶	71.5%	(*.f64 (exp.f64 re) im)

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize116.0ms (5.3%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(sin.f64 im)
✓	99.8%	(log1p.f64 (expm1.f64 (sin.f64 im)))
✓	99.8%	(expm1.f64 (sin.f64 im))

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

Operation composed, time spent: 43.0ms, 41.0% of total-time

Operation ival-log, time spent: 26.0ms, 25.0% of total-time

Operation ival-exp, time spent: 13.0ms, 12.0% of total-time

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

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

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

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

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

series2.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (expm1.f64 (sin.f64 im))>
#<alt (log1p.f64 (expm1.f64 (sin.f64 im)))>

Outputs
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/15 binary64) im) #s(literal 1/8 binary64)))))))>
#<alt (-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))>
#<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)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(- (exp (sin im)) 1)
0.0ms	im	@	inf	(- (exp (sin im)) 1)
0.0ms	im	@	-inf	(- (exp (sin im)) 1)
0.0ms	im	@	0	(log (+ 1 (- (exp (sin im)) 1)))
0.0ms	im	@	inf	(log (+ 1 (- (exp (sin im)) 1)))

rewrite183.0ms (8.3%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`associate-r`
456×	`associate-l`
416×	`log1p-expm1-u`
384×	`unpow-prod-down`
252×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	63	20
2	661	20
3	7722	20

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(expm1.f64 (sin.f64 im))
(log1p.f64 (expm1.f64 (sin.f64 im)))

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

simplify75.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1626×	`fma-define`
1240×	`distribute-lft-in`
1174×	`distribute-rgt-in`
654×	`associate-+r+`
654×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	4235
1	657	4171
2	1896	3661

Stop Event

1×	node limit

Counts

145 → 181

Calls

Call 1

Inputs
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/15 binary64) im) #s(literal 1/8 binary64)))))))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
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)
(+.f64 (expm1.f64 (sin.f64 im)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (expm1.f64 (sin.f64 im)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal -1 binary64)))
(+.f64 (exp.f64 (sin.f64 im)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 (sin.f64 im)))
(+.f64 #s(literal -1 binary64) (exp.f64 (sin.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 im)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 im))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 im))))))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (sin.f64 im)) (log.f64 (E.f64)))
(-.f64 (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64))))
(*.f64 (expm1.f64 (sin.f64 im)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (sin.f64 im)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (sin.f64 im))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 im))) (sqrt.f64 (expm1.f64 (sin.f64 im))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 im)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 im)))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (sin.f64 im)))))
(.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/4 binary64)) (sqrt.f64 (expm1.f64 (sin.f64 im)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 (sin.f64 im)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 im)))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (sin.f64 im))) (cbrt.f64 (expm1.f64 (sin.f64 im)))) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 im)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (sin.f64 im))) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/4 binary64))) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 5 binary64))) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (sin.f64 im))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 (sin.f64 im))) #s(literal 1 binary64)))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 im)))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 im)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/6 binary64))) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (sin.f64 im)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (sin.f64 im)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 im)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)))
(pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (sin.f64 im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 im))))) (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 im)))))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 (sin.f64 im)))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 im))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 im))))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (sin.f64 im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (sin.f64 im)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 im)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (sin.f64 im))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 (sin.f64 im))) (sqrt.f64 (exp.f64 (sin.f64 im))) #s(literal -1 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 (log1p.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)) (expm1.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 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (sin.f64 im)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 im)))))
(*.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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)))
(sin.f64 im)
(expm1.f64 (log1p.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 (log.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64))) #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 1/2 binary64) im)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im #s(literal 1/2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 im (fma.f64 im (fma.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/15 binary64) im) #s(literal 1/8 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/15 binary64) im #s(literal -1/8 binary64)))))))
(*.f64 im (fma.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im #s(literal -1/15 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/2 binary64) (fma.f64 (fma.f64 im #s(literal -1/15 binary64) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) #s(literal 1 binary64))
(expm1.f64 (sin.f64 im))
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)) #s(literal -1/6 binary64))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 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)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(+.f64 (expm1.f64 (sin.f64 im)) #s(literal 0 binary64))
(expm1.f64 (sin.f64 im))
(+.f64 #s(literal 1 binary64) (-.f64 (expm1.f64 (sin.f64 im)) #s(literal 1 binary64)))
(expm1.f64 (sin.f64 im))
(+.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (sin.f64 im)) #s(literal -1 binary64)))
(expm1.f64 (sin.f64 im))
(+.f64 (exp.f64 (sin.f64 im)) #s(literal -1 binary64))
(expm1.f64 (sin.f64 im))
(+.f64 #s(literal 0 binary64) (expm1.f64 (sin.f64 im)))
(expm1.f64 (sin.f64 im))
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eval72.0ms (3.3%)

Compiler: Compiled 4054 to 2090 computations (48.4% saved)

prune39.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	260	3	263

Accuracy

100.0%

Counts

263 → 3

Alt Table

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Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	99.9%	(*.f64 (exp.f64 re) (log1p.f64 (expm1.f64 (sin.f64 im))))
✓	71.5%	(*.f64 (exp.f64 re) im)

Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes25.0ms (1.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) im)
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (log1p.f64 (expm1.f64 (sin.f64 im))))

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

Calls

5 calls:

13.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	re
3.0ms	(sin.f64 im)
3.0ms	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 (0.2%)

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

Results

Accuracy	Segments	Branch
71.5%	1	`re`
71.5%	1	`im`
71.5%	1	`(exp.f64 re)`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-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%)

preprocess26.0ms (1.2%)

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	585	155
9	585	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	585	155
9	585	155

analyze0.0ms (0%)

sample1.1s (52.2%)

preprocess131.0ms (6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize37.0ms (1.7%)

series1.0ms (0.1%)

rewrite242.0ms (11%)

simplify60.0ms (2.7%)

eval22.0ms (1%)

prune11.0ms (0.5%)

localize116.0ms (5.3%)

series2.0ms (0.1%)

rewrite183.0ms (8.3%)

simplify75.0ms (3.4%)

eval72.0ms (3.3%)

prune39.0ms (1.8%)

regimes25.0ms (1.2%)

regimes3.0ms (0.2%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (1.2%)

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	585	155
9	585	155