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

analyze64.0ms (1.6%)

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: 30.0ms

ival-mult: 13.0ms (43% of total)

ival-log: 7.0ms (23.2% of total)

ival-sqrt: 6.0ms (19.8% of total)

ival-add: 4.0ms (13.2% of total)

const: 1.0ms (3.3% of total)

backward-pass: 0.0ms (0% of total)

sample1.8s (46.4%)

Results

742.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 532.0ms

ival-mult: 267.0ms (50.2% of total)

ival-log: 140.0ms (26.3% of total)

ival-sqrt: 74.0ms (13.9% of total)

ival-add: 41.0ms (7.7% of total)

const: 8.0ms (1.5% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess50.0ms (1.3%)

Algorithm

1×	egg-herbie

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

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)

explain154.0ms (3.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
139	-	2	(2.1989920268410906e-217 2.1213686246165375e-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))`

Results

123.0ms

512×

valid

Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 14.0ms (50.9% of total)

ival-log: 6.0ms (21.8% of total)

ival-sqrt: 4.0ms (14.5% of total)

ival-add: 3.0ms (10.9% of total)

const: 1.0ms (3.6% of total)

backward-pass: 0.0ms (0% of total)

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)

localize38.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 re im)
✓	cost-diff	0	(log.f64 (hypot.f64 re im))
✓	accuracy	100.0%	(hypot.f64 re im)
✓	accuracy	100.0%	(log.f64 (hypot.f64 re im))

Rules

2×	`fma-define`
1×	`hypot-define`
1×	`hypot-undefine`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	14	38
2	17	38
3	19	38

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

24.0ms

256×

valid

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-hypot: 13.0ms (82% of total)

ival-log: 3.0ms (18.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series11.0ms (0.3%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (log.f64 (hypot.f64 re im))>
#<alt (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 im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 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 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (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) re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 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) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 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 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (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 re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 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 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (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) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 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) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 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 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (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

12 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(log (sqrt (+ (* re re) (* im im))))
1.0ms	im	@	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))))
1.0ms	im	@	-inf	(log (sqrt (+ (* re re) (* im im))))

rewrite261.0ms (6.5%)

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	30
1	82	30
2	872	30

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Rules

272×	`fma-define`
161×	`associate-r`
159×	`+-commutative`
138×	`associate-l`
133×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	457	5598
1	1071	5598
2	4351	5598

Stop Event

1×

unsound

Counts

160 → 182

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

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 (*.f64 #s(literal 1/2 binary64) (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 (.f64 #s(literal 1/6 binary64) (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)))))))
(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 #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)))))))
(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)))))))
(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)))))
(+.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)) (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))))))
(+.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))))))
(*.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 (*.f64 #s(literal 1/2 binary64) (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))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (fma.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 1/2 binary64) (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)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (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)))
(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 (*.f64 #s(literal 1/2 binary64) (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))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (fma.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 1/2 binary64) (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)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im))))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 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 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 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 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (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 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (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) re)
re
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 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) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 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 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 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 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (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 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (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))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 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 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
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(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) im)
im
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
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(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
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(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (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))
(log.f64 (hypot.f64 re im))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(log.f64 (hypot.f64 re im))
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(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
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(log.f64 (hypot.f64 re im))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (E.f64)))
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(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
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(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
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(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 (hypot.f64 re im))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))
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(*.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)))
(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)))))
(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)))
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(.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)))))
(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 (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 (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 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 5 binary64))))
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(log.f64 (hypot.f64 re im))
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(log.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)))))))
(log.f64 (hypot.f64 re im))
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(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.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 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 5 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.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 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.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 (hypot.f64 re im) #s(literal 3/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.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 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 5 binary64))))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (E.f64))
(log.f64 (hypot.f64 re im))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (E.f64))
(log.f64 (hypot.f64 re im))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (hypot.f64 re im))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))))
(log.f64 (hypot.f64 re im))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))))
(log.f64 (hypot.f64 re im))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 re im) #s(literal -1 binary64))))
(log.f64 (hypot.f64 re im))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(log.f64 (hypot.f64 re im))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (E.f64) (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(fabs.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (hypot.f64 re im))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(exp.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (cbrt.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 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))

eval85.0ms (2.1%)

Compiler: Compiled 2949 to 636 computations (78.4% saved)

prune81.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	181	2	183

Accuracy

100.0%

Counts

183 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (hypot.f64 re im))
▶	99.6%	(log.f64 im)

Compiler

Compiled 10 to 7 computations (30% saved)

localize24.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 im)
✓	accuracy	100.0%	(log.f64 im)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 im)
im

Outputs
(log.f64 im)
im

Results

9.0ms

256×

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 3.0ms (95.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series70.0ms (1.8%)

Counts

1 → 8

Calls

Call 1

Inputs
#<alt (log.f64 im)>

Outputs
#<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))))>

Calls

3 calls:

Time	Variable		Point	Expression
41.0ms	im	@	0	(log im)
20.0ms	im	@	-inf	(log im)
9.0ms	im	@	inf	(log im)

rewrite133.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

813×	`log1p-expm1-u`
813×	`expm1-log1p-u`
696×	`fma-define`
347×	`fma-neg`
180×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	41	8
2	412	8
3	4378	8

Stop Event

1×	node limit

Counts

1 → 105

Calls

Call 1

Inputs
(log.f64 im)

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

simplify38.0ms (1%)

Algorithm

1×	egg-herbie

Rules

107×	`associate-r`
67×	`associate-l`
63×	`fma-define`
47×	`*-commutative`
45×	`fma-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	2044
1	470	2044
2	1562	2044

Stop Event

1×

unsound

Counts

113 → 112

Calls

Call 1

Inputs
(*.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 (log.f64 im) #s(literal 0 binary64))
(+.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) #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 (cbrt.f64 im)) (*.f64 #s(literal 2 binary64) (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)) (*.f64 (log.f64 (cbrt.f64 im)) #s(literal 1 binary64)))
(+.f64 (.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)) (.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(-.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 0 binary64) (+.f64 (log.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 (log.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 im)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 im)))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 im))))
(.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 im) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (log.f64 im) #s(literal 1/4 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 im))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 im))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 im))) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 5/2 binary64))) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 im) #s(literal 1/4 binary64))) (pow.f64 (log.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 im) #s(literal 3/2 binary64))) (pow.f64 (log.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 5 binary64))) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 1/6 binary64))) (pow.f64 (log.f64 im) #s(literal 1/6 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))) (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) (-.f64 (.f64 (log.f64 (cbrt.f64 im)) (log.f64 (cbrt.f64 im))) (.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))) (fma.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 (log.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) (+.f64 (log.f64 im) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (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)))) (.f64 (log.f64 (cbrt.f64 im)) (log.f64 (cbrt.f64 im)))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) (log.f64 (cbrt.f64 im))))
(/.f64 (fma.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) (+.f64 (log.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) #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 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 1/3 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 (pow.f64 (cbrt.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))
(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)))
(fma.f64 (log.f64 im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 im) (log.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 im) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) (log.f64 (cbrt.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (cbrt.f64 im)) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(fma.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 im)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 im)) #s(literal 0 binary64))
(fma.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 1 binary64) (.f64 (log.f64 (cbrt.f64 im)) #s(literal 1 binary64)))
(fma.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64) (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 im) (log.f64 (sqrt.f64 im)))
(fma.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im)) (log.f64 (cbrt.f64 im)))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (log.f64 im) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 im)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 im))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 im) #s(literal 3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 im) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 im))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 im) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 im))) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 5/2 binary64))) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 (log.f64 (sqrt.f64 im)))) (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 im)))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 im))) (cbrt.f64 (log.f64 (cbrt.f64 im)))) (cbrt.f64 (log.f64 (cbrt.f64 im))) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im)))) (log.f64 (cbrt.f64 im)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 im) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (log.f64 im) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 im) #s(literal 1/4 binary64))) (pow.f64 (log.f64 im) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (log.f64 im) #s(literal 3/2 binary64))) (pow.f64 (log.f64 im) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 5 binary64))) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (sqrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 im))) (sqrt.f64 (log.f64 (cbrt.f64 im))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im)))) (log.f64 (cbrt.f64 im)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 im) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (log.f64 im) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 1/6 binary64))) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 0 binary64))

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

eval20.0ms (0.5%)

Compiler: Compiled 1262 to 239 computations (81.1% saved)

prune16.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	3	114

Accuracy

100.0%

Counts

114 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 im)))
✓	100.0%	(log.f64 (hypot.f64 re im))
✓	99.6%	(log.f64 im)

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize421.0ms (10.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
	cost-diff	-128	(log.f64 im)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) (log.f64 im))
✓	cost-diff	256	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 im)))
	accuracy	100.0%	(log.f64 im)
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (log.f64 im))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 im)))

Rules

9780×	`associate-r`
1273×	`*-commutative`
1077×	`associate-l`
3×	`1-exp`
1×	`*-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	16	36
2	27	36
3	60	36
4	132	36
5	307	36
6	329	36
7	329	36
8	686	36
9	761	36
10	761	36
11	761	36
12	1828	36
13	2028	36
14	2028	36
15	2028	36
16	5475	36
17	5475	36
18	5475	36
19	6230	36
20	6230	36
21	6230	36

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

28.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log: 4.0ms (51.7% of total)

ival-mult: 4.0ms (51.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

2 → 20

Calls

Call 1

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

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 (/.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
0.0ms	im	@	-inf	(* 3 (log im))
0.0ms	im	@	inf	(* 3 (log im))
0.0ms	im	@	0	(* 3 (log im))
0.0ms	im	@	-inf	(* 1/3 (* 3 (log im)))
0.0ms	im	@	inf	(* 1/3 (* 3 (log im)))

rewrite61.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`associate-l`
293×	`unpow-prod-down`
237×	`log1p-expm1-u`
237×	`expm1-log1p-u`
231×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	86	22
2	728	22

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

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

simplify51.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

77×	`fma-define`
68×	`distribute-lft-in`
55×	`distribute-rgt-in`
50×	`associate-r`
44×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	1054
1	462	1054
2	1733	1054

Stop Event

1×

unsound

Counts

87 → 78

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

eval121.0ms (3%)

Compiler: Compiled 2588 to 592 computations (77.1% saved)

prune44.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	190	3	193

Accuracy

100.0%

Counts

193 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 im)))
✓	100.0%	(log.f64 (hypot.f64 re im))
✓	99.6%	(log.f64 im)

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes252.0ms (6.3%)

Counts

4 → 1

Calls

Call 1

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

240.0ms	im
2.0ms	re
2.0ms	(+.f64 (.f64 re re) (.f64 im im))
2.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
2.0ms	(*.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 -0.3b remaining (-111.4%)

Threshold costs -0.3b (-111.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(log.f64 im)

Calls

2 calls:

2.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
99.6%	1	`re`
99.6%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25

Stop Event

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)

soundness23.0ms (0.6%)

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×	done
1×	saturated

Compiler

Compiled 23 to 14 computations (39.1% saved)

preprocess31.0ms (0.8%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 146 to 96 computations (34.2% saved)

math.log/1 on complex, real part

analyze64.0ms (1.6%)

sample1.8s (46.4%)

preprocess50.0ms (1.3%)

explain154.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize38.0ms (1%)

series11.0ms (0.3%)

rewrite261.0ms (6.5%)

simplify78.0ms (2%)

eval85.0ms (2.1%)

prune81.0ms (2%)

localize24.0ms (0.6%)

series70.0ms (1.8%)

rewrite133.0ms (3.3%)

simplify38.0ms (1%)

eval20.0ms (0.5%)

prune16.0ms (0.4%)

localize421.0ms (10.6%)

series3.0ms (0.1%)

rewrite61.0ms (1.5%)

simplify51.0ms (1.3%)

eval121.0ms (3%)

prune44.0ms (1.1%)

regimes252.0ms (6.3%)

regimes3.0ms (0.1%)

simplify2.0ms (0%)

soundness23.0ms (0.6%)

preprocess31.0ms (0.8%)

end0.0ms (0%)

Profiling