Metrics for math.log/1 on complex, real part

analyze68.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.6%	0.1%	0%	0%	0%	6
54.7%	54.6%	45.3%	0.1%	0%	0%	0%	7
64.8%	64.8%	35.1%	0.1%	0%	0%	0%	8
76.2%	76.1%	23.8%	0.1%	0%	0%	0%	9
81.8%	81.8%	18.1%	0.1%	0%	0%	0%	10
87.8%	87.7%	12.2%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

Operation ival-mult, time spent: 12.0ms, 36.0% of total-time

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

Operation ival-sqrt, time spent: 7.0ms, 21.0% of total-time

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

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

sample1.4s (45.9%)

Results

1.3s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 550.0ms

Operation ival-mult, time spent: 210.0ms, 38.0% of total-time

Operation ival-log, time spent: 187.0ms, 34.0% of total-time

Operation ival-sqrt, time spent: 86.0ms, 16.0% of total-time

Operation ival-add, time spent: 57.0ms, 10.0% of total-time

Operation const, time spent: 10.0ms, 2.0% of total-time

Bogosity

preprocess221.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

52×	`fma-neg`
45×	`fma-define`
15×	`neg-sub0`
14×	`distribute-lft-neg-in`
14×	`unsub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
136	-	2	(3.3452818238203045e-162 2.84792615981366e-159)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`im`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	127
1	55	127
2	102	127
3	187	127
4	284	127
5	323	127
6	333	127

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im)))))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))))
(log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))

Outputs
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im)))))
(log.f64 (hypot.f64 re im))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))))
(neg.f64 (log.f64 (hypot.f64 re im)))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))))
(neg.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))
(log.f64 (hypot.f64 re im))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions

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

Operation ival-mult, time spent: 56.0ms, 77.0% of total-time

Operation ival-log, time spent: 9.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 6.0% of total-time

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

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

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (hypot.f64 re im))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize53.0ms (1.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (hypot.f64 re im))

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

Operation composed, time spent: 10.0ms, 43.0% of total-time

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

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

Operation ival-sqrt, time spent: 3.0ms, 13.0% of total-time

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

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

series8.0ms (0.3%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (log.f64 (hypot.f64 re im))>

Outputs
#<alt (log.f64 im)>
#<alt (+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (log.f64 re)>
#<alt (+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(log (sqrt (+ (* re re) (* im im))))
1.0ms	re	@	0	(log (sqrt (+ (* re re) (* im im))))
1.0ms	re	@	inf	(log (sqrt (+ (* re re) (* im im))))
1.0ms	im	@	inf	(log (sqrt (+ (* re re) (* im im))))
0.0ms	re	@	-inf	(log (sqrt (+ (* re re) (* im im))))

rewrite232.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

305×	`log1p-expm1-u`
305×	`expm1-log1p-u`
291×	`add-exp-log`
278×	`add-log-exp`
278×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	82	17
2	872	17

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(log.f64 (hypot.f64 re im))

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

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

166×	`fma-define`
85×	`associate-r`
85×	`+-commutative`
68×	`*-commutative`
67×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	2946
1	579	2946
2	2152	2946

Stop Event

1×

unsound

Counts

74 → 90

Calls

Call 1

Inputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(log.f64 re)
(+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (hypot.f64 re im)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 5 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (-.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (-.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))) (-.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))

Outputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (neg.f64 (log.f64 re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
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(log.f64 (hypot.f64 re im))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(log1p.f64 (+.f64 #s(literal -1 binary64) (hypot.f64 re im)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(log.f64 (hypot.f64 re im))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))

eval35.0ms (1.2%)

Compiler: Compiled 1566 to 858 computations (45.2% saved)

prune14.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	3	91

Accuracy

100.0%

Counts

91 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
✓	100.0%	(log.f64 (hypot.f64 re im))
▶	98.4%	(log.f64 im)

Compiler

Compiled 20 to 15 computations (25% saved)

localize68.0ms (2.3%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
	100.0%	(log.f64 (hypot.f64 re im))
✓	99.5%	(*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im)))
✓	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))

Compiler

Compiled 31 to 14 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

Operation ival-mult, time spent: 17.0ms, 39.0% of total-time

Operation composed, time spent: 11.0ms, 25.0% of total-time

Operation ival-log, time spent: 9.0ms, 21.0% of total-time

Operation ival-add, time spent: 4.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 5.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series9.0ms (0.3%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im)))>

Outputs
#<alt (log.f64 im)>
#<alt (+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (log.f64 re)>
#<alt (+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 im))>
#<alt (+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (log.f64 im)))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (log.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (log.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 re))>
#<alt (+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (log.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (log.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (log.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(* 3 (log (sqrt (+ (* re re) (* im im)))))
1.0ms	re	@	inf	(* 3 (log (sqrt (+ (* re re) (* im im)))))
1.0ms	re	@	0	(* 3 (log (sqrt (+ (* re re) (* im im)))))
1.0ms	im	@	0	(* 3 (log (sqrt (+ (* re re) (* im im)))))
0.0ms	re	@	-inf	(* 3 (log (sqrt (+ (* re re) (* im im)))))

rewrite130.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

439×	`unpow-prod-down`
402×	`log1p-expm1-u`
402×	`expm1-log1p-u`
388×	`add-exp-log`
371×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	127	40
2	1189	40

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im)))

Outputs
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(+.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(+.f64 #s(literal 0 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))))
(+.f64 (log.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64)))

simplify111.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

870×	`distribute-lft-in`
718×	`distribute-rgt-in`
462×	`fma-neg`
337×	`associate-r`
290×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	4413
1	685	4301
2	1815	4221
3	4268	4221

Stop Event

1×	node limit

Counts

95 → 214

Calls

Call 1

Inputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(log.f64 re)
(+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 3 binary64) (log.f64 im))
(+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (log.f64 im)))
(+.f64 (.f64 #s(literal 3 binary64) (log.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 3 binary64) (log.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal 3 binary64) (log.f64 re))
(+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (log.f64 re)))
(+.f64 (.f64 #s(literal 3 binary64) (log.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 3 binary64) (log.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/240 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(+.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(+.f64 #s(literal 0 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))))
(+.f64 (log.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64)))

Outputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (log.f64 im))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 im)))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (neg.f64 (log.f64 re)))
(log.f64 re)
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 re)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (log.f64 re))
(+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 re))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(log.f64 re)
(neg.f64 (neg.f64 (log.f64 re)))
(+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 re)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 re)))
(+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (log.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re))
(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)) (/.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 re))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 im)
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (log.f64 im))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
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(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 1 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 3 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (E.f64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)))

eval204.0ms (6.9%)

Compiler: Compiled 6129 to 4275 computations (30.2% saved)

prune44.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	303	1	304
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	303	4	307

Accuracy

100.0%

Counts

307 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(.f64 #s(literal 1/3 binary64) (.f64 (log.f64 im) #s(literal 3 binary64)))
✓	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
✓	100.0%	(log.f64 (hypot.f64 re im))
✓	98.4%	(log.f64 im)

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize86.0ms (2.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.5%	(*.f64 (log.f64 im) #s(literal 3 binary64))
✓	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 (log.f64 im) #s(literal 3 binary64)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

Operation ival-log, time spent: 52.0ms, 88.0% of total-time

Operation ival-mult, time spent: 6.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series55.0ms (1.8%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/3 binary64) (.f64 (log.f64 im) #s(literal 3 binary64)))>
#<alt (*.f64 (log.f64 im) #s(literal 3 binary64))>

Outputs
#<alt (log.f64 im)>
#<alt (log.f64 im)>
#<alt (log.f64 im)>
#<alt (log.f64 im)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 im))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 im))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 im))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 im))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	im	@	0	(* 1/3 (* (log im) 3))
19.0ms	im	@	-inf	(* 1/3 (* (log im) 3))
6.0ms	im	@	inf	(* 1/3 (* (log im) 3))
0.0ms	im	@	-inf	(* (log im) 3)
0.0ms	im	@	inf	(* (log im) 3)

rewrite65.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`associate-l`
295×	`unpow-prod-down`
256×	`log1p-expm1-u`
256×	`expm1-log1p-u`
248×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	85	22
2	989	22

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (.f64 (log.f64 im) #s(literal 3 binary64)))
(*.f64 (log.f64 im) #s(literal 3 binary64))

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

simplify33.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

78×	`fma-define`
56×	`associate-r`
51×	`associate-l`
45×	`+-commutative`
44×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1115
1	469	1115
2	1776	1115

Stop Event

1×

unsound

Counts

91 → 80

Calls

Call 1

Inputs
(log.f64 im)
(log.f64 im)
(log.f64 im)
(log.f64 im)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 3 binary64) (log.f64 im))
(*.f64 #s(literal 3 binary64) (log.f64 im))
(*.f64 #s(literal 3 binary64) (log.f64 im))
(*.f64 #s(literal 3 binary64) (log.f64 im))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+.f64 (log.f64 im) #s(literal 0 binary64))
(+.f64 (log.f64 (cbrt.f64 im)) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) (log.f64 (cbrt.f64 im)))
(+.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 1 binary64)) (log.f64 (cbrt.f64 im)))
(+.f64 (.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (log.f64 im))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 im)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 3 binary64)) (pow.f64 (log.f64 (cbrt.f64 im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im)))) (-.f64 (pow.f64 (log.f64 (cbrt.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) (log.f64 (cbrt.f64 im))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im))) (-.f64 (.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im))) (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im))) (.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))) (-.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (log.f64 im)) (+.f64 #s(literal 1 binary64) (log.f64 im))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im)))) (pow.f64 (log.f64 (cbrt.f64 im)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) (log.f64 (cbrt.f64 im))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 im)) (+.f64 #s(literal 1 binary64) (log.f64 im))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 1 binary64)))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 im)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (log.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 im)))) (sqrt.f64 (log.f64 (log.f64 im))))
(sqrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(fabs.f64 (log.f64 im))
(log.f64 im)
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (+.f64 im #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 im))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 im))) #s(literal 2 binary64)))
(+.f64 (log.f64 im) (log.f64 (pow.f64 im #s(literal 2 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) #s(literal 3 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (log.f64 im))
(+.f64 (log.f64 (pow.f64 im #s(literal 3/2 binary64))) (log.f64 (pow.f64 im #s(literal 3/2 binary64))))
(+.f64 (log.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)))) (log.f64 (cbrt.f64 im)))
(+.f64 (log.f64 (pow.f64 im #s(literal 5/2 binary64))) (log.f64 (sqrt.f64 im)))
(+.f64 (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 im))) (.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 im))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 3 binary64)) (log.f64 im))
(+.f64 (.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (log.f64 im) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (log.f64 im) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (log.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (log.f64 im) #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (log.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (log.f64 im) #s(literal 3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (log.f64 im) #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (log.f64 im) #s(literal 3 binary64))))) (sqrt.f64 (log.f64 (.f64 (log.f64 im) #s(literal 3 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 9 binary64)))
(fabs.f64 (*.f64 (log.f64 im) #s(literal 3 binary64)))
(log.f64 (pow.f64 im #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))))
(log1p.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 im) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (log.f64 im) #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 im) #s(literal 3 binary64)))) #s(literal 2 binary64)))

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

eval20.0ms (0.7%)

Compiler: Compiled 893 to 556 computations (37.7% saved)

prune13.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	80	4	84

Accuracy

100.0%

Counts

84 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.8%	(.f64 #s(literal 1/3 binary64) (.f64 (log.f64 im) #s(literal 3 binary64)))
✓	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
✓	100.0%	(log.f64 (hypot.f64 re im))
✓	98.4%	(log.f64 im)

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes22.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

Inputs
(log.f64 im)
(.f64 #s(literal 1/3 binary64) (.f64 (log.f64 im) #s(literal 3 binary64)))
(log.f64 (hypot.f64 re im))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Outputs
(log.f64 (hypot.f64 re im))

Calls

7 calls:

8.0ms	re
3.0ms	im
2.0ms	(*.f64 re re)
2.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
2.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
100.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
100.0%	1	`(*.f64 re re)`
100.0%	1	`(*.f64 im im)`

Compiler

Compiled 46 to 28 computations (39.1% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.4b remaining (-35.6%)

Threshold costs -0.4b (-35.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 im)
(.f64 #s(literal 1/3 binary64) (.f64 (log.f64 im) #s(literal 3 binary64)))

Outputs
(log.f64 im)

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
98.4%	1	`re`
98.4%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (hypot.f64 re im))
(log.f64 im)

Outputs
(log.f64 (hypot.f64 re im))
(log.f64 im)

Compiler

Compiled 10 to 7 computations (30% saved)

soundness23.0ms (0.8%)

Rules

52×	`fma-neg`
45×	`fma-define`
15×	`neg-sub0`
14×	`distribute-lft-neg-in`
14×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	127
1	55	127
2	102	127
3	187	127
4	284	127
5	323	127
6	333	127

Stop Event

1×

saturated

Compiler

Compiled 15 to 9 computations (40% saved)

end0.0ms (0%)

preprocess37.0ms (1.3%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 146 to 96 computations (34.2% saved)

analyze68.0ms (2.3%)

sample1.4s (45.9%)

preprocess221.0ms (7.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize53.0ms (1.8%)

series8.0ms (0.3%)

rewrite232.0ms (7.9%)

simplify39.0ms (1.3%)

eval35.0ms (1.2%)

prune14.0ms (0.5%)

localize68.0ms (2.3%)

series9.0ms (0.3%)

rewrite130.0ms (4.4%)

simplify111.0ms (3.8%)

eval204.0ms (6.9%)

prune44.0ms (1.5%)

localize86.0ms (2.9%)

series55.0ms (1.8%)

rewrite65.0ms (2.2%)

simplify33.0ms (1.1%)

eval20.0ms (0.7%)

prune13.0ms (0.5%)

regimes22.0ms (0.8%)

regimes3.0ms (0.1%)

simplify2.0ms (0.1%)

soundness23.0ms (0.8%)

end0.0ms (0%)

preprocess37.0ms (1.3%)

Profiling