Metrics for math.log/2 on complex, real part

analyze165.0ms (1%)

Memory

-9.8MiB live, 437.2MiB allocated

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%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.4s (8.8%)

Memory

9.4MiB live, 2 664.6MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 845.0ms

ival-hypot: 227.0ms (26.9% of total)

ival-log: 217.0ms (25.7% of total)

ival-mult: 195.0ms (23.1% of total)

ival-add: 73.0ms (8.6% of total)

ival-atan2: 66.0ms (7.8% of total)

ival-div: 52.0ms (6.2% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess353.0ms (2.2%)

Memory

23.5MiB live, 657.6MiB allocated

Algorithm

2×	egg-herbie

Rules

6 840×	`-lowering-.f32`
6 840×	`-lowering-.f64`
3 030×	`cube-prod`
2 360×	`/-lowering-/.f32`
2 360×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	209
1	148	189
2	250	189
3	475	139
4	864	125
5	1591	125
6	4781	125
7	7450	125
0	18	20
1	25	18
2	29	18
3	39	14
4	48	12
5	49	12
6	102	12
7	306	12
8	1167	12
9	1904	12
10	2354	12
11	2660	12
12	3131	12
13	3858	12
14	4873	12
15	5999	12
16	6341	12
17	6548	12
18	6743	12
19	6950	12
0	8439	7

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

Outputs
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Call 2

Inputs
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log base)) (* (atan2 im (neg re)) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log base)) (* (atan2 (neg im) re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log (neg base))) (* (atan2 im re) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0)))
(neg (/ (+ (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log base)) (* (atan2 im (neg re)) 0)) (+ (* (log base) (log base)) (* 0 0))))
(neg (/ (+ (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log base)) (* (atan2 (neg im) re) 0)) (+ (* (log base) (log base)) (* 0 0))))
(neg (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log (neg base))) (* (atan2 im re) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0))))
(/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (atan2 re im) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* base base) (* im im)))) (log re)) (* (atan2 im base) 0)) (+ (* (log re) (log re)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* re re) (* base base)))) (log im)) (* (atan2 base re) 0)) (+ (* (log im) (log im)) (* 0 0)))

Outputs
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(/ (+ (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log base)) (* (atan2 im (neg re)) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(/ (+ (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log base)) (* (atan2 (neg im) re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log (neg base))) (* (atan2 im re) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0)))
(/ (log (sqrt (+ (* re re) (* im im)))) (log (neg base)))
(neg (/ (+ (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log base)) (* (atan2 im (neg re)) 0)) (+ (* (log base) (log base)) (* 0 0))))
(/ (log (sqrt (+ (* re re) (* im im)))) (neg (log base)))
(neg (/ (+ (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log base)) (* (atan2 (neg im) re) 0)) (+ (* (log base) (log base)) (* 0 0))))
(/ (log (sqrt (+ (* re re) (* im im)))) (neg (log base)))
(neg (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log (neg base))) (* (atan2 im re) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0))))
(/ (log (sqrt (+ (* re re) (* im im)))) (neg (log (neg base))))
(/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (atan2 re im) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(/ (+ (* (log (sqrt (+ (* base base) (* im im)))) (log re)) (* (atan2 im base) 0)) (+ (* (log re) (log re)) (* 0 0)))
(/ (log (sqrt (+ (* im im) (* base base)))) (log re))
(/ (+ (* (log (sqrt (+ (* re re) (* base base)))) (log im)) (* (atan2 base re) 0)) (+ (* (log im) (log im)) (* 0 0)))
(/ (log (sqrt (+ (* re re) (* base base)))) (log im))

Symmetry

(abs re)

(abs im)

(sort re im)

explain294.0ms (1.8%)

Memory

-10.5MiB live, 533.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
138	-	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	-	`(log.f64 base)`
0	-	-	`(*.f64 re re)`
0	-	-	`(atan2.f64 im re)`
0	-	-	`im`
0	-	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	-	`re`
0	-	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))`
0	-	-	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	-	`#s(literal 0 binary64)`
0	-	-	`(*.f64 (atan2.f64 im re) #s(literal 0 binary64))`
0	-	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	-	`(*.f64 im im)`
0	-	-	`base`
0	-	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	121	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	121
↳	`(*.f64 re re)`	overflow	16
↳	`(*.f64 im im)`	overflow	121
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	17	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	17
↳	`(*.f64 re re)`	underflow	114
↳	`(*.f64 im im)`	underflow	17

Confusion

	Predicted +	Predicted -
+	138	0
-	0	118

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	138	0	0
-	0	0	118

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	118
1	138

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

124.0ms

512×

valid

Compiler

Compiled 304 to 76 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 55.0ms (60.7% of total)

ival-log: 12.0ms (13.2% of total)

ival-hypot: 10.0ms (11% of total)

ival-add: 6.0ms (6.6% of total)

ival-atan2: 4.0ms (4.4% of total)

ival-div: 3.0ms (3.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 10 to 7 computations (30% saved)

prune5.0ms (0%)

Memory

-33.9MiB live, 3.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Status

Accuracy

Program

▶

47.4%

(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

▶

99.4%

(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 41 to 25 computations (39% saved)

simplify275.0ms (1.7%)

Memory

20.8MiB live, 415.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
✓	cost-diff	320	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	cost-diff	6592	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
✓	cost-diff	13056	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(hypot.f64 re im)
✓	cost-diff	0	(log.f64 (hypot.f64 re im))
✓	cost-diff	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Rules

6 840×	`-lowering-.f32`
6 840×	`-lowering-.f64`
3 028×	`cube-prod`
2 360×	`/-lowering-/.f32`
2 360×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	125
1	26	121
2	30	121
3	39	121
4	48	121
5	49	121
6	102	121
7	306	121
8	1207	121
9	1944	121
10	2406	121
11	2715	121
12	3181	121
13	3913	121
14	4935	121
15	6061	121
16	6401	121
17	6608	121
18	6803	121
19	7010	121
0	8500	80

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(log base)
base
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(log base)
base
(* (atan2 im re) 0)
(atan2 im re)
0
(+ (* (log base) (log base)) (* 0 0))
(* (log base) (log base))
(* 0 0)

Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(log base)
(log.f64 base)
base
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(log base)
(log.f64 base)
base
(* (atan2 im re) 0)
#s(literal 0 binary64)
(atan2 im re)
(atan2.f64 im re)
0
#s(literal 0 binary64)
(+ (* (log base) (log base)) (* 0 0))
(*.f64 (log.f64 base) (log.f64 base))
(* (log base) (log base))
(*.f64 (log.f64 base) (log.f64 base))
(* 0 0)
#s(literal 0 binary64)

localize64.0ms (0.4%)

Memory

-2.6MiB live, 114.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	49.9%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(hypot.f64 re im)
✓	accuracy	100.0%	(log.f64 (hypot.f64 re im))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Samples

39.0ms

256×

valid

Compiler

Compiled 140 to 21 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 7.0ms (27.9% of total)

ival-mult: 6.0ms (23.9% of total)

ival-hypot: 4.0ms (15.9% of total)

ival-div: 3.0ms (11.9% of total)

ival-add: 3.0ms (11.9% of total)

ival-atan2: 2.0ms (8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series134.0ms (0.8%)

Memory

7.7MiB live, 169.7MiB allocated

Counts

10 → 264

Calls

Call 1

Inputs
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (log base))>
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (log base)>
#<alt (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))>
#<alt (* (atan2 im re) 0)>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))>
#<alt (* (log base) (log base))>
#<alt (* (log (sqrt (+ (* re re) (* im im)))) (log base))>

Outputs
#<alt (/ (log im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
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#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>

Calls

66 calls:

Time	Variable		Point	Expression
62.0ms	base	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
39.0ms	base	@	inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
13.0ms	base	@	-inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
3.0ms	im	@	0	(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))
2.0ms	re	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))

rewrite475.0ms (2.9%)

Memory

7.7MiB live, 871.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 002×	`accelerator-lowering-fma.f32`
5 002×	`accelerator-lowering-fma.f64`
3 970×	`-lowering-.f32`
3 970×	`-lowering-.f64`
2 984×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	91
1	89	85
2	709	85
3	6386	85
0	8443	50

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1 576

Calls

Call 1

Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(log base)
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(* (atan2 im re) 0)
(sqrt (+ (* re re) (* im im)))
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))
(* (log base) (log base))
(* (log (sqrt (+ (* re re) (* im im)))) (log base))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)) (log.f64 base))
(pow.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 (pow.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))))
(+.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re im)) (-.f64 re im)) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re im)) (-.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (*.f64 im im))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))))))
(-.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im)))))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))))) (log.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))))) (log.f64 (sqrt.f64 (*.f64 (neg.f64 (+.f64 re im)) (-.f64 re im)))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 re (.f64 re (.f64 re re)))))) (log.f64 (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re)))))
(-.f64 (log.f64 (neg.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))))) (log.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))))) (log.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))))
(neg.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(hypot.f64 re im)
(hypot.f64 re (exp.f64 (log.f64 im)))
(hypot.f64 im re)
(hypot.f64 im (exp.f64 (log.f64 re)))
(hypot.f64 (exp.f64 (log.f64 re)) im)
(hypot.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 im)))
(hypot.f64 (exp.f64 (log.f64 im)) re)
(hypot.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 re)))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))))
(/.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 re re) (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (sqrt.f64 (*.f64 (neg.f64 (+.f64 re im)) (-.f64 re im))))
(/.f64 (sqrt.f64 (-.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 re (.f64 re (.f64 re re))))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (neg.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))))
(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1/2 binary64))
(.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))))))
(.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))))))
(.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re im)) (-.f64 re im)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re im)) (-.f64 re im))))
(.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 re re) (*.f64 im im)))))
(.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)))
(log.f64 base)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
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(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 2 binary64)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (.f64 (log.f64 base) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64)))) (.f64 (log.f64 base) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 6 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))

simplify534.0ms (3.3%)

Memory

16.7MiB live, 724.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 410×	`accelerator-lowering-fma.f32`
16 410×	`accelerator-lowering-fma.f64`
5 206×	`-lowering-.f32`
5 206×	`-lowering-.f64`
4 152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	4624
1	1001	4490
2	3050	4486
3	7899	4486
0	8560	4028

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
0
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im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
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(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))

Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
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(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
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(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
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(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(-.f64 (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (/.f64 (*.f64 im im) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
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(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
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(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
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re
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(+.f64 (.f64 (log.f64 base) (log.f64 re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (.f64 re re)) (/.f64 (.f64 (.f64 (.f64 (log.f64 base) im) im) #s(literal -1/4 binary64)) (.f64 (.f64 re re) (*.f64 re re))))))
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(+.f64 (.f64 (log.f64 base) (log.f64 re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 re re) (.f64 re re))) (/.f64 (.f64 (.f64 (.f64 (log.f64 base) im) im) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 6 binary64))))))))
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (+.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (.f64 (.f64 re re) (.f64 re re)) (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (*.f64 im im))))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (+.f64 (.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(-.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (.f64 (.f64 (.f64 re re) (.f64 re re)) (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (-.f64 (+.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (.f64 im im)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 (.f64 im im) (.f64 im im))))) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(+.f64 (.f64 re (.f64 re (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re (.f64 re (log.f64 base))) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))))))))) (.f64 (log.f64 im) (log.f64 base)))
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 base) (log.f64 re))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+.f64 (.f64 (log.f64 base) (log.f64 re)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im)) (*.f64 re re)))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+.f64 (.f64 (log.f64 base) (log.f64 re)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im)) (.f64 re re)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (log.f64 base)) (.f64 (.f64 re re) (*.f64 re re)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(+.f64 (+.f64 (.f64 (log.f64 base) (log.f64 re)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im)) (.f64 re re)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (log.f64 base)) (.f64 (.f64 re re) (.f64 re re))))) (/.f64 (.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (log.f64 base)) (pow.f64 re #s(literal 6 binary64))))
(* -1 (* (log base) (log (/ -1 re))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im)) (.f64 re re)) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(-.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im)) (.f64 re re)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (log.f64 base)) (.f64 (.f64 re re) (.f64 re re)))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (log.f64 base)) (.f64 (.f64 re re) (.f64 re re))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im)) (.f64 re re)) (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (log.f64 base)) (pow.f64 re #s(literal 6 binary64))) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))))
(* (log base) (log re))
(*.f64 (log.f64 base) (log.f64 re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+.f64 (.f64 (log.f64 base) (log.f64 re)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im)) (*.f64 re re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+.f64 (.f64 (log.f64 base) (log.f64 re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (.f64 re re)) (/.f64 (.f64 (.f64 (.f64 (log.f64 base) im) im) #s(literal -1/4 binary64)) (.f64 (.f64 re re) (*.f64 re re))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(+.f64 (.f64 (log.f64 base) (log.f64 re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 re re) (.f64 re re))) (/.f64 (.f64 (.f64 (.f64 (log.f64 base) im) im) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 6 binary64))))))))
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (+.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (.f64 (.f64 re re) (.f64 re re)) (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (*.f64 im im))))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (+.f64 (.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(-.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (.f64 (.f64 (.f64 re re) (.f64 re re)) (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 im im)) (-.f64 (+.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))

eval351.0ms (2.2%)

Memory: 39.0MiB live, 461.5MiB allocated
Compiler: Compiled 78 678 to 3 602 computations (95.4% saved)

prune421.0ms (2.6%)

Memory

-25.8MiB live, 594.1MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1 894	21	1 915
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1 895	22	1 917

Accuracy

99.8%

Counts

1 917 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.4%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
	47.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	47.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
	25.6%	(/.f64 (-.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))) (log.f64 base))
▶	47.5%	(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 base))
	47.4%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	47.5%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
	99.0%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.3%	(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	50.6%	(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	50.3%	(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
	25.7%	(/.f64 (log.f64 (.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))))))) (log.f64 base))
▶	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	47.4%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)))))
	47.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
	47.4%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	47.4%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)))
	47.4%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
▶	47.5%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
	47.4%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	28.8%	(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) #s(literal -1 binary64)))

Compiler

Compiled 892 to 581 computations (34.9% saved)

simplify682.0ms (4.2%)

Memory

7.0MiB live, 713.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (hypot.f64 re im))
✓	cost-diff	0	(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
✓	cost-diff	128	(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
✓	cost-diff	12800	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
✓	cost-diff	12992	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))
✓	cost-diff	0	(log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 base))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (log.f64 base))
✓	cost-diff	0	(hypot.f64 re im)
✓	cost-diff	0	(log.f64 (hypot.f64 re im))
✓	cost-diff	0	(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))

Rules

20 620×	`accelerator-lowering-fma.f32`
20 620×	`accelerator-lowering-fma.f64`
3 346×	`-lowering-.f32`
3 346×	`-lowering-.f64`
3 196×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	247
1	57	247
2	118	244
3	271	244
4	473	242
5	796	242
6	2167	242
7	2694	242
8	3014	242
9	3416	242
10	3732	242
11	3929	242
12	6056	242
13	6325	242
14	6435	242
15	6463	242
16	6463	242
0	8412	201

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (/ 1 (/ 1 (log base))))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(/ 1 (/ 1 (log base)))
1
(/ 1 (log base))
(log base)
base
(/ (log im) (log base))
(log im)
im
(log base)
base
(/ (- 0 (log (sqrt (/ 1 (+ (* re re) (* im im)))))) (log base))
(- 0 (log (sqrt (/ 1 (+ (* re re) (* im im))))))
0
(log (sqrt (/ 1 (+ (* re re) (* im im)))))
(sqrt (/ 1 (+ (* re re) (* im im))))
(/ 1 (+ (* re re) (* im im)))
1
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(log base)
base
(* (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (log base))
(* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im)))))
(pow (log base) -2)
(log base)
base
-2
(* 1/2 (log (+ (* re re) (* im im))))
1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(/ (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1)))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(exp (* (log (log base)) 1))
(* (log (log base)) 1)
(log (log base))
(log base)
base
1

Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (/ 1 (/ 1 (log base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(/ 1 (/ 1 (log base)))
(log.f64 base)
1
#s(literal 1 binary64)
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
base
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(log im)
(log.f64 im)
im
(log base)
(log.f64 base)
base
(/ (- 0 (log (sqrt (/ 1 (+ (* re re) (* im im)))))) (log base))
(/.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(- 0 (log (sqrt (/ 1 (+ (* re re) (* im im))))))
(-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))))
0
#s(literal 0 binary64)
(log (sqrt (/ 1 (+ (* re re) (* im im)))))
(log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))
(sqrt (/ 1 (+ (* re re) (* im im))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))
(/ 1 (+ (* re re) (* im im)))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))
1
#s(literal 1 binary64)
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(log base)
(log.f64 base)
base
(* (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (log base))
(.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(pow (log base) -2)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log base)
(log.f64 base)
base
-2
#s(literal -2 binary64)
(* 1/2 (log (+ (* re re) (* im im))))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
1/2
#s(literal 1/2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(/ (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(exp (* (log (log base)) 1))
(log.f64 base)
(* (log (log base)) 1)
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log base)
(log.f64 base)
base
1
#s(literal 1 binary64)

localize133.0ms (0.8%)

Memory

9.3MiB live, 279.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(log.f64 (log.f64 base))
✓	accuracy	99.7%	(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
✓	accuracy	99.2%	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
✓	accuracy	99.6%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	75.8%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 base))
✓	accuracy	77.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(/.f64 (log.f64 im) (log.f64 base))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))

Samples

38.0ms	125×	0	invalid
36.0ms	131×	0	valid

Compiler

Compiled 239 to 34 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-log: 18.0ms (33.9% of total)

ival-div: 10.0ms (18.8% of total)

ival-mult: 10.0ms (18.8% of total)

ival-hypot: 4.0ms (7.5% of total)

ival-pow: 3.0ms (5.6% of total)

ival-exp: 2.0ms (3.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-add: 1.0ms (1.9% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series395.0ms (2.4%)

Memory

8.8MiB live, 409.9MiB allocated

Counts

21 → 468

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (log base)))>
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (/ 1 (/ 1 (log base))))>
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (/ (log im) (log base))>
#<alt (log im)>
#<alt (log base)>
#<alt (/ (- 0 (log (sqrt (/ 1 (+ (* re re) (* im im)))))) (log base))>
#<alt (- 0 (log (sqrt (/ 1 (+ (* re re) (* im im))))))>
#<alt (log (sqrt (/ 1 (+ (* re re) (* im im)))))>
#<alt (sqrt (/ 1 (+ (* re re) (* im im))))>
#<alt (* (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (log base))>
#<alt (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im)))))>
#<alt (pow (log base) -2)>
#<alt (exp (* (log (log base)) 1))>
#<alt (* (log (log base)) 1)>
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1)))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (+ (* re re) (* im im)))>
#<alt (log (+ (* re re) (* im im)))>
#<alt (log (log base))>

Outputs
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ (log im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log im)>
#<alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
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#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>

Calls

117 calls:

Time	Variable		Point	Expression
149.0ms	base	@	0	(* (log (log base)) 1)
59.0ms	im	@	0	(/ (log im) (log base))
47.0ms	base	@	-inf	(* (log (log base)) 1)
23.0ms	base	@	0	(* (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (log base))
19.0ms	base	@	0	(/ (- 0 (log (sqrt (/ 1 (+ (* re re) (* im im)))))) (log base))

rewrite769.0ms (4.7%)

Memory

-4.3MiB live, 875.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 794×	`-lowering-.f32`
3 794×	`-lowering-.f64`
3 204×	`/-lowering-/.f32`
3 204×	`/-lowering-/.f64`
2 964×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	154
1	139	151
2	834	151
0	8020	97

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 2 838

Calls

Call 1

Inputs
(/ 1 (/ 1 (log base)))
(/ (log (sqrt (+ (* re re) (* im im)))) (/ 1 (/ 1 (log base))))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(/ (log im) (log base))
(log im)
(log base)
(/ (- 0 (log (sqrt (/ 1 (+ (* re re) (* im im)))))) (log base))
(- 0 (log (sqrt (/ 1 (+ (* re re) (* im im))))))
(log (sqrt (/ 1 (+ (* re re) (* im im)))))
(sqrt (/ 1 (+ (* re re) (* im im))))
(* (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (log base))
(* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im)))))
(pow (log base) -2)
(exp (* (log (log base)) 1))
(* (log (log base)) 1)
(/ (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1)))
(/ 1 (log base))
(/ 1 (+ (* re re) (* im im)))
(log (+ (* re re) (* im im)))
(log (log base))

Outputs
(log.f64 base)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (log.f64 base))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal -1 binary64))
(/.f64 (pow.f64 (E.f64) (log.f64 #s(literal -1 binary64))) (pow.f64 (E.f64) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 base)))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (E.f64) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (E.f64) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)))) (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)))) (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base))) (/.f64 (pow.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (log.f64 base)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)))
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(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base)))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 (log.f64 (log.f64 base)) (log.f64 (E.f64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64))

simplify826.0ms (5.1%)

Memory

14.3MiB live, 994.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 188×	`accelerator-lowering-fma.f32`
11 188×	`accelerator-lowering-fma.f64`
5 462×	`-lowering-.f32`
5 462×	`-lowering-.f64`
4 804×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	728	8634
1	2021	8356
2	6030	8330
0	8734	7774

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (pow im 4)) (* 1/4 (pow im 4)))) (* -3 (pow im 4))) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (pow im 4)) (* 1/4 (pow im 4)))) (* -3 (pow im 4))) (* (pow re 4) (log base)))) (+ (* -1/720 (/ (+ (* -360 (+ (* 1/2 (* (pow im 2) (+ (* -1 (pow im 4)) (* 1/4 (pow im 4))))) (pow im 6))) (+ (* -180 (* (pow im 2) (+ (* -1 (pow im 4)) (* 1/4 (pow im 4))))) (* -30 (pow im 6)))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (pow im 4)) (* 1/4 (pow im 4)))) (* -3 (pow im 4))) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (pow im 4)) (* 1/4 (pow im 4)))) (* -3 (pow im 4))) (* (pow re 4) (log base)))) (+ (* -1/720 (/ (+ (* -360 (+ (* 1/2 (* (pow im 2) (+ (* -1 (pow im 4)) (* 1/4 (pow im 4))))) (pow im 6))) (+ (* -180 (* (pow im 2) (+ (* -1 (pow im 4)) (* 1/4 (pow im 4))))) (* -30 (pow im 6)))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (pow re 4)) (* 1/4 (pow re 4)))) (* -3 (pow re 4))) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (pow re 4)) (* 1/4 (pow re 4)))) (* -3 (pow re 4))) (* (pow im 4) (log base)))) (+ (* -1/720 (/ (+ (* -360 (+ (* 1/2 (* (pow re 2) (+ (* -1 (pow re 4)) (* 1/4 (pow re 4))))) (pow re 6))) (+ (* -180 (* (pow re 2) (+ (* -1 (pow re 4)) (* 1/4 (pow re 4))))) (* -30 (pow re 6)))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (pow re 4)) (* 1/4 (pow re 4)))) (* -3 (pow re 4))) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (pow re 4)) (* 1/4 (pow re 4)))) (* -3 (pow re 4))) (* (pow im 4) (log base)))) (+ (* -1/720 (/ (+ (* -360 (+ (* 1/2 (* (pow re 2) (+ (* -1 (pow re 4)) (* 1/4 (pow re 4))))) (pow re 6))) (+ (* -180 (* (pow re 2) (+ (* -1 (pow re 4)) (* 1/4 (pow re 4))))) (* -30 (pow re 6)))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (log base)))
(* -1 (/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (log base)))
(* -1 (/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (log base)))
(* -1 (/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (log base)))
(/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (log (/ 1 base)))
(/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (log (/ 1 base)))
(/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (log (/ 1 base)))
(/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (log (/ 1 base)))
(* -1 (/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (log (sqrt (/ 1 (+ (pow im 2) (pow re 2))))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (log (/ 1 im)))
(- (* 1/2 (/ (pow re 2) (pow im 2))) (log (/ 1 im)))
(- (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log (/ 1 im)))
(- (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))) (log (/ 1 im)))
(* -1 (log (/ 1 re)))
(- (* 1/2 (/ (pow im 2) (pow re 2))) (log (/ 1 re)))
(- (* -1/24 (/ (+ (* -12 (+ (* -1 (pow im 4)) (* 1/4 (pow im 4)))) (* -3 (pow im 4))) (pow re 4))) (+ (log (/ 1 re)) (* -1/2 (/ (pow im 2) (pow re 2)))))
(- (* -1/720 (/ (+ (* -360 (+ (* 1/2 (* (pow im 2) (+ (* -1 (pow im 4)) (* 1/4 (pow im 4))))) (pow im 6))) (+ (* -180 (* (pow im 2) (+ (* -1 (pow im 4)) (* 1/4 (pow im 4))))) (* -30 (pow im 6)))) (pow re 6))) (+ (log (/ 1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/24 (/ (+ (* -12 (+ (* -1 (pow im 4)) (* 1/4 (pow im 4)))) (* -3 (pow im 4))) (pow re 4))))))
(* -1 (log (/ -1 re)))
(- (* 1/2 (/ (pow im 2) (pow re 2))) (log (/ -1 re)))
(- (* -1/24 (/ (+ (* -12 (+ (* -1 (pow im 4)) (* 1/4 (pow im 4)))) (* -3 (pow im 4))) (pow re 4))) (+ (log (/ -1 re)) (* -1/2 (/ (pow im 2) (pow re 2)))))
(- (* -1/720 (/ (+ (* -360 (+ (* 1/2 (* (pow im 2) (+ (* -1 (pow im 4)) (* 1/4 (pow im 4))))) (pow im 6))) (+ (* -180 (* (pow im 2) (+ (* -1 (pow im 4)) (* 1/4 (pow im 4))))) (* -30 (pow im 6)))) (pow re 6))) (+ (log (/ -1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/24 (/ (+ (* -12 (+ (* -1 (pow im 4)) (* 1/4 (pow im 4)))) (* -3 (pow im 4))) (pow re 4))))))
(* -1 (log (/ 1 re)))
(- (* 1/2 (/ (pow im 2) (pow re 2))) (log (/ 1 re)))
(- (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))) (log (/ 1 re)))
(- (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))) (log (/ 1 re)))
(* -1 (log (/ 1 im)))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (pow im 2))
(+ (* -1 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))
(+ (* (pow re 2) (- (/ (pow re 2) (pow im 6)) (/ 1 (pow im 4)))) (/ 1 (pow im 2)))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (/ (pow re 2) (pow im 8))) (/ 1 (pow im 6)))) (/ 1 (pow im 4)))) (/ 1 (pow im 2)))
(/ 1 (pow re 2))
(/ (+ 1 (* -1 (/ (pow im 2) (pow re 2)))) (pow re 2))
(/ (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))) (pow re 2))
(/ (- (+ 1 (* -1 (/ (pow im 6) (pow re 6)))) (+ (* -1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (pow re 2))
(/ 1 (pow re 2))
(/ (+ 1 (* -1 (/ (pow im 2) (pow re 2)))) (pow re 2))
(/ (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))) (pow re 2))
(/ (- (+ 1 (* -1 (/ (pow im 6) (pow re 6)))) (+ (* -1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (pow re 2))
(/ 1 (pow re 2))
(+ (* -1 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))
(+ (* (pow im 2) (- (/ (pow im 2) (pow re 6)) (/ 1 (pow re 4)))) (/ 1 (pow re 2)))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1 (/ (pow im 2) (pow re 8))) (/ 1 (pow re 6)))) (/ 1 (pow re 4)))) (/ 1 (pow re 2)))
(/ 1 (pow im 2))
(/ (+ 1 (* -1 (/ (pow re 2) (pow im 2)))) (pow im 2))
(/ (- (+ 1 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))) (pow im 2))
(/ (- (+ 1 (* -1 (/ (pow re 6) (pow im 6)))) (+ (* -1 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (pow im 2))
(/ 1 (pow im 2))
(/ (+ 1 (* -1 (/ (pow re 2) (pow im 2)))) (pow im 2))
(/ (- (+ 1 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))) (pow im 2))
(/ (- (+ 1 (* -1 (/ (pow re 6) (pow im 6)))) (+ (* -1 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (pow im 2))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(* -2 (log (/ 1 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(* -2 (log (/ -1 re)))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(log (pow re 2))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(log (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))

Outputs
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (.f64 re re) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (.f64 (.f64 re re) (+.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (/.f64 (.f64 re re) (log.f64 base))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (log.f64 base)) (.f64 (.f64 re re) (+.f64 (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64))) (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 base))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (log.f64 base) (.f64 (.f64 re re) (.f64 re re)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (log.f64 base) (.f64 (.f64 re re) (.f64 re re)))) (+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 base)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 base)) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (log.f64 base) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 base)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (log.f64 base) (.f64 (.f64 re re) (*.f64 re re)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 (.f64 im im) (+.f64 (/.f64 (/.f64 (.f64 (.f64 im im) #s(literal -1/4 binary64)) (.f64 (.f64 re re) (.f64 re re))) (log.f64 base)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) (log.f64 base)))))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 (.f64 im im) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) (log.f64 base)) (.f64 (.f64 im im) (-.f64 (/.f64 (.f64 (.f64 im im) #s(literal 1/6 binary64)) (.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (*.f64 re re))) (log.f64 base)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (.f64 re re) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (.f64 re re) (.f64 im im))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (log.f64 base) (.f64 (.f64 im im) (*.f64 im im))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (.f64 re re) (.f64 im im))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (log.f64 base) (.f64 (.f64 im im) (.f64 im im))))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (.f64 re re) (*.f64 im im))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(-.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (.f64 re re) (.f64 im im))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (log.f64 base) (.f64 (.f64 im im) (*.f64 im im))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(-.f64 (+.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (.f64 re re) (.f64 im im))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (log.f64 base) (.f64 (.f64 im im) (.f64 im im))))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+.f64 (log.f64 im) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+.f64 (log.f64 im) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 im im) (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (.f64 im im)))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(+.f64 (log.f64 im) (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))))))))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+.f64 (log.f64 re) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (.f64 re re))) (+.f64 (log.f64 re) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re)))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (.f64 re re))) (+.f64 (log.f64 re) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re))) (/.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 re #s(literal 6 binary64))))
(* -1 (log (/ -1 re)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
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(-.f64 (+.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (.f64 re re) (.f64 im im))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (log.f64 base) (.f64 (.f64 im im) (.f64 im im))))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (pow im 2))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
(+ (* -1 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))) (*.f64 im im))
(+ (* (pow re 2) (- (/ (pow re 2) (pow im 6)) (/ 1 (pow im 4)))) (/ 1 (pow im 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (*.f64 im im))))))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (/ (pow re 2) (pow im 8))) (/ 1 (pow im 6)))) (/ 1 (pow im 4)))) (/ 1 (pow im 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 re (/.f64 re (pow.f64 im #s(literal 8 binary64)))))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im im) (*.f64 im im))))))
(/ 1 (pow re 2))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(/ (+ 1 (* -1 (/ (pow im 2) (pow re 2)))) (pow re 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (*.f64 re re))
(/ (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))) (pow re 2))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re)))) (*.f64 re re))
(/ (- (+ 1 (* -1 (/ (pow im 6) (pow re 6)))) (+ (* -1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (pow re 2))
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 (.f64 im im) (.f64 re re))) (*.f64 re re))
(/ 1 (pow re 2))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(/ (+ 1 (* -1 (/ (pow im 2) (pow re 2)))) (pow re 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (*.f64 re re))
(/ (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))) (pow re 2))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re)))) (*.f64 re re))
(/ (- (+ 1 (* -1 (/ (pow im 6) (pow re 6)))) (+ (* -1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (pow re 2))
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 (.f64 im im) (.f64 re re))) (*.f64 re re))
(/ 1 (pow re 2))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(+ (* -1 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (*.f64 re re))
(+ (* (pow im 2) (- (/ (pow im 2) (pow re 6)) (/ 1 (pow re 4)))) (/ 1 (pow re 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im (+.f64 (/.f64 (.f64 im im) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 re re) (*.f64 re re)))))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1 (/ (pow im 2) (pow re 8))) (/ 1 (pow re 6)))) (/ 1 (pow re 4)))) (/ 1 (pow re 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im (+.f64 (.f64 (.f64 im im) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 (.f64 im im) (pow.f64 re #s(literal 8 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 re re) (*.f64 re re)))))))
(/ 1 (pow im 2))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
(/ (+ 1 (* -1 (/ (pow re 2) (pow im 2)))) (pow im 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))) (*.f64 im im))
(/ (- (+ 1 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))) (pow im 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) (/.f64 (.f64 re re) (.f64 im im)))) (*.f64 im im))
(/ (- (+ 1 (* -1 (/ (pow re 6) (pow im 6)))) (+ (* -1 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (pow im 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (-.f64 (/.f64 (.f64 re re) (.f64 im im)) (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))))) (*.f64 im im))
(/ 1 (pow im 2))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
(/ (+ 1 (* -1 (/ (pow re 2) (pow im 2)))) (pow im 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))) (*.f64 im im))
(/ (- (+ 1 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))) (pow im 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) (/.f64 (.f64 re re) (.f64 im im)))) (*.f64 im im))
(/ (- (+ 1 (* -1 (/ (pow re 6) (pow im 6)))) (+ (* -1 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (pow im 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (-.f64 (/.f64 (.f64 re re) (.f64 im im)) (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))))) (*.f64 im im))
(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (log.f64 (*.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+.f64 (log.f64 (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 (.f64 (.f64 re re) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (*.f64 im im))))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(+.f64 (log.f64 (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 re (.f64 re (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (*.f64 im im)))))))))
(* -2 (log (/ 1 re)))
(*.f64 #s(literal 2 binary64) (log.f64 re))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (*.f64 #s(literal 2 binary64) (log.f64 re)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (.f64 #s(literal 2 binary64) (log.f64 re)) (+.f64 (/.f64 (.f64 im im) (.f64 re re)) (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/2 binary64)) (.f64 (.f64 re re) (.f64 re re)))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/2 binary64)) (.f64 (.f64 re re) (.f64 re re))) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 im im) (.f64 re re)) (*.f64 #s(literal 2 binary64) (log.f64 re))))
(* -2 (log (/ -1 re)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (+.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/2 binary64)) (.f64 (.f64 re re) (.f64 re re))) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/2 binary64)) (.f64 (.f64 re re) (.f64 re re))) (+.f64 (+.f64 (/.f64 (.f64 im im) (.f64 re re)) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))))
(log (pow re 2))
(log.f64 (*.f64 re re))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (log.f64 (*.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+.f64 (log.f64 (.f64 re re)) (.f64 im (.f64 im (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (/.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 re re) (*.f64 re re)))))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(+.f64 (log.f64 (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (.f64 im im) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (*.f64 re re))))))))
(* -2 (log (/ 1 im)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 im im)))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (.f64 re re) (.f64 im im)) (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 im im)))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64)))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (+.f64 (/.f64 (.f64 re re) (.f64 im im)) (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/2 binary64)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 (+.f64 (/.f64 (.f64 re re) (.f64 im im)) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))

eval1.2s (7.1%)

Memory: -43.8MiB live, 1 098.0MiB allocated
Compiler: Compiled 96 925 to 5 059 computations (94.8% saved)

prune368.0ms (2.3%)

Memory

-20.2MiB live, 746.4MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	3 700	21	3 721
Fresh	13	3	16
Picked	4	1	5
Done	0	1	1
Total	3 717	26	3 743

Accuracy

99.9%

Counts

3 743 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(/.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	47.3%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	50.4%	(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	27.3%	(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (.f64 (+.f64 re im) (/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))))))) (log.f64 base))
▶	45.7%	(/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 base))
	47.5%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
	99.0%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 base))
	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	50.4%	(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
	49.8%	(/.f64 (log.f64 im) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
▶	99.1%	(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	50.0%	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
▶	47.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
	50.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)))
	47.4%	(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
▶	98.9%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
▶	99.1%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	99.0%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 im) #s(literal 2 binary64)))) (log.f64 base))
	47.4%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	52.0%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))

Compiler

Compiled 824 to 571 computations (30.7% saved)

simplify217.0ms (1.3%)

Memory

-8.4MiB live, 344.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
✓	cost-diff	0	(pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 base))
✓	cost-diff	13504	(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	cost-diff	12992	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) base))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	cost-diff	192	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)))

Rules

5 028×	`-lowering-.f32`
5 028×	`-lowering-.f64`
2 192×	`accelerator-lowering-fma.f32`
2 192×	`accelerator-lowering-fma.f64`
1 158×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	256
1	56	238
2	129	235
3	624	235
4	2785	209
5	4672	209
6	6616	209
0	8079	197

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (log im) (neg (log (/ 1 base))))
(log im)
im
(neg (log (/ 1 base)))
(log (/ 1 base))
(/ 1 base)
1
base
(* (/ 1 (log base)) (log im))
(/ 1 (log base))
1
(log base)
base
(log im)
im
(/ -1 (* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base))))
-1
(* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base)))
(/ 2 (log (+ (* re re) (* im im))))
2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(log (/ 1 base))
(/ 1 base)
1
base
(* (/ (log im) (pow (log base) 2)) (log base))
(/ (log im) (pow (log base) 2))
(log im)
im
(pow (log base) 2)
(log base)
base
2
(/ (* (pow (* 1/2 (log (+ (* re re) (* im im)))) 2) (/ 2 (log (+ (* re re) (* im im))))) (log base))
(* (pow (* 1/2 (log (+ (* re re) (* im im)))) 2) (/ 2 (log (+ (* re re) (* im im)))))
(pow (* 1/2 (log (+ (* re re) (* im im)))) 2)
(* 1/2 (log (+ (* re re) (* im im))))
1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
2
(/ 2 (log (+ (* re re) (* im im))))
(log base)
base

Outputs
(/ (log im) (neg (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log im)
(log.f64 im)
im
(neg (log (/ 1 base)))
(log.f64 base)
(log (/ 1 base))
(log.f64 (/.f64 #s(literal 1 binary64) base))
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
1
#s(literal 1 binary64)
base
(* (/ 1 (log base)) (log im))
(/.f64 (log.f64 im) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(log base)
(log.f64 base)
base
(log im)
(log.f64 im)
im
(/ -1 (* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base))))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base)))
(/.f64 (.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(/ 2 (log (+ (* re re) (* im im))))
(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
2
#s(literal 2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(log (/ 1 base))
(log.f64 (/.f64 #s(literal 1 binary64) base))
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
1
#s(literal 1 binary64)
base
(* (/ (log im) (pow (log base) 2)) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (pow (log base) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log im)
(log.f64 im)
im
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log base)
(log.f64 base)
base
2
#s(literal 2 binary64)
(/ (* (pow (* 1/2 (log (+ (* re re) (* im im)))) 2) (/ 2 (log (+ (* re re) (* im im))))) (log base))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(* (pow (* 1/2 (log (+ (* re re) (* im im)))) 2) (/ 2 (log (+ (* re re) (* im im)))))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))
(pow (* 1/2 (log (+ (* re re) (* im im)))) 2)
(pow.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(* 1/2 (log (+ (* re re) (* im im))))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
2
#s(literal 2 binary64)
(/ 2 (log (+ (* re re) (* im im))))
(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log base)
(log.f64 base)
base

localize121.0ms (0.7%)

Memory

0.2MiB live, 242.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
✓	accuracy	99.4%	(/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 base))
✓	accuracy	99.2%	(pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 2 binary64))
✓	accuracy	47.8%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.4%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓	accuracy	99.3%	(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
✓	accuracy	47.8%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) base))
✓	accuracy	99.4%	(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))

Samples

68.0ms

256×

valid

Compiler

Compiled 258 to 31 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-log: 13.0ms (27.5% of total)

ival-div: 11.0ms (23.3% of total)

ival-mult: 10.0ms (21.2% of total)

ival-add: 7.0ms (14.8% of total)

ival-pow2: 4.0ms (8.5% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series74.0ms (0.5%)

Memory

30.3MiB live, 186.5MiB allocated

Counts

18 → 396

Calls

Call 1

Inputs
#<alt (neg (log (/ 1 base)))>
#<alt (/ (log im) (neg (log (/ 1 base))))>
#<alt (log im)>
#<alt (log (/ 1 base))>
#<alt (* (/ 1 (log base)) (log im))>
#<alt (/ 1 (log base))>
#<alt (log base)>
#<alt (/ -1 (* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base))))>
#<alt (* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base)))>
#<alt (/ 2 (log (+ (* re re) (* im im))))>
#<alt (log (+ (* re re) (* im im)))>
#<alt (* (/ (log im) (pow (log base) 2)) (log base))>
#<alt (/ (log im) (pow (log base) 2))>
#<alt (pow (log base) 2)>
#<alt (* (pow (* 1/2 (log (+ (* re re) (* im im)))) 2) (/ 2 (log (+ (* re re) (* im im)))))>
#<alt (/ (* (pow (* 1/2 (log (+ (* re re) (* im im)))) 2) (/ 2 (log (+ (* re re) (* im im))))) (log base))>
#<alt (pow (* 1/2 (log (+ (* re re) (* im im)))) 2)>
#<alt (* 1/2 (log (+ (* re re) (* im im))))>

Outputs
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (+ (log -1) (log (/ -1 base))))>
#<alt (* -1 (+ (log -1) (log (/ -1 base))))>
#<alt (* -1 (+ (log -1) (log (/ -1 base))))>
#<alt (* -1 (+ (log -1) (log (/ -1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log (/ 1 im)) (log (/ 1 base)))>
#<alt (/ (log (/ 1 im)) (log (/ 1 base)))>
#<alt (/ (log (/ 1 im)) (log (/ 1 base)))>
#<alt (/ (log (/ 1 im)) (log (/ 1 base)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log (/ 1 base))))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log (/ 1 base))))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log (/ 1 base))))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log (/ 1 base))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (+ (log -1) (log (/ -1 base)))))>
#<alt (* -1 (/ (log im) (+ (log -1) (log (/ -1 base)))))>
#<alt (* -1 (/ (log im) (+ (log -1) (log (/ -1 base)))))>
#<alt (* -1 (/ (log im) (+ (log -1) (log (/ -1 base)))))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (* -1 (log base))>
#<alt (* -1 (log base))>
#<alt (* -1 (log base))>
#<alt (* -1 (log base))>
#<alt (log (/ 1 base))>
#<alt (log (/ 1 base))>
#<alt (log (/ 1 base))>
#<alt (log (/ 1 base))>
#<alt (+ (log -1) (log (/ -1 base)))>
#<alt (+ (log -1) (log (/ -1 base)))>
#<alt (+ (log -1) (log (/ -1 base)))>
#<alt (+ (log -1) (log (/ -1 base)))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (* -1/2 (/ (log (pow im 2)) (log (/ 1 base))))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log (/ 1 base)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 base))))))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log (/ 1 base)))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log (/ 1 base))))) (* 1/2 (/ 1 (* (pow im 2) (log (/ 1 base))))))))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log (/ 1 base)))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log (/ 1 base))))) (* 1/4 (/ 1 (* (pow im 4) (log (/ 1 base))))))) (* 1/2 (/ 1 (* (pow im 2) (log (/ 1 base))))))))>
#<alt (/ (log (/ 1 re)) (log (/ 1 base)))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 base))))) (/ (log (/ 1 re)) (log (/ 1 base))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 base))))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log (/ 1 base))))) (/ (log (/ 1 re)) (log (/ 1 base)))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 base))))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log (/ 1 base))))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log (/ 1 base))))) (/ (log (/ 1 re)) (log (/ 1 base))))))>
#<alt (/ (log (/ -1 re)) (log (/ 1 base)))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 base))))) (/ (log (/ -1 re)) (log (/ 1 base))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 base))))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log (/ 1 base))))) (/ (log (/ -1 re)) (log (/ 1 base)))))>
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#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 2)))>
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 2)))>
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 2)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 2))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 2))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 2))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log base) 2))>
#<alt (/ (log im) (pow (log base) 2))>
#<alt (/ (log im) (pow (log base) 2))>
#<alt (/ (log im) (pow (log base) 2))>
#<alt (/ (log im) (pow (log base) 2))>
#<alt (/ (log im) (pow (log (/ 1 base)) 2))>
#<alt (/ (log im) (pow (log (/ 1 base)) 2))>
#<alt (/ (log im) (pow (log (/ 1 base)) 2))>
#<alt (/ (log im) (pow (log (/ 1 base)) 2))>
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (log im) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (* 1/2 (log (pow im 2)))>
#<alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* 1/2 (log (pow re 2)))>
#<alt (+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* 1/2 (/ (log (pow im 2)) (log base)))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* 1/2 (/ (log (pow re 2)) (log base)))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/4 (pow (log (pow im 2)) 2))>
#<alt (+ (* 1/4 (pow (log (pow im 2)) 2)) (* 1/2 (/ (* (pow re 2) (log (pow im 2))) (pow im 2))))>
#<alt (+ (* 1/4 (pow (log (pow im 2)) 2)) (* (pow re 2) (+ (* 1/4 (* (pow re 2) (+ (* -1 (/ (log (pow im 2)) (pow im 4))) (/ 1 (pow im 4))))) (* 1/2 (/ (log (pow im 2)) (pow im 2))))))>
#<alt (+ (* 1/4 (pow (log (pow im 2)) 2)) (* (pow re 2) (+ (* 1/2 (/ (log (pow im 2)) (pow im 2))) (* (pow re 2) (+ (* 1/4 (* (pow re 2) (- (* 2/3 (/ (log (pow im 2)) (pow im 6))) (/ 1 (pow im 6))))) (* 1/4 (+ (* -1 (/ (log (pow im 2)) (pow im 4))) (/ 1 (pow im 4)))))))))>
#<alt (pow (log (/ 1 re)) 2)>
#<alt (+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (pow (log (/ 1 re)) 2))>
#<alt (+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow im 4) (log (/ 1 re)))) (pow im 4)) (pow re 4))) (pow (log (/ 1 re)) 2)))>
#<alt (+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* 1/4 (/ (+ (* -4/3 (* (pow im 6) (log (/ 1 re)))) (* -1 (pow im 6))) (pow re 6))) (+ (* 1/4 (/ (+ (* 2 (* (pow im 4) (log (/ 1 re)))) (pow im 4)) (pow re 4))) (pow (log (/ 1 re)) 2))))>
#<alt (pow (log (/ -1 re)) 2)>
#<alt (+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (pow (log (/ -1 re)) 2))>
#<alt (+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow im 4) (log (/ -1 re)))) (pow im 4)) (pow re 4))) (pow (log (/ -1 re)) 2)))>
#<alt (+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* 1/4 (/ (+ (* -4/3 (* (pow im 6) (log (/ -1 re)))) (* -1 (pow im 6))) (pow re 6))) (+ (* 1/4 (/ (+ (* 2 (* (pow im 4) (log (/ -1 re)))) (pow im 4)) (pow re 4))) (pow (log (/ -1 re)) 2))))>
#<alt (* 1/4 (pow (log (pow re 2)) 2))>
#<alt (+ (* 1/4 (pow (log (pow re 2)) 2)) (* 1/2 (/ (* (pow im 2) (log (pow re 2))) (pow re 2))))>
#<alt (+ (* 1/4 (pow (log (pow re 2)) 2)) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (+ (* -1 (/ (log (pow re 2)) (pow re 4))) (/ 1 (pow re 4))))) (* 1/2 (/ (log (pow re 2)) (pow re 2))))))>
#<alt (+ (* 1/4 (pow (log (pow re 2)) 2)) (* (pow im 2) (+ (* 1/2 (/ (log (pow re 2)) (pow re 2))) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* 2/3 (/ (log (pow re 2)) (pow re 6))) (/ 1 (pow re 6))))) (* 1/4 (+ (* -1 (/ (log (pow re 2)) (pow re 4))) (/ 1 (pow re 4)))))))))>
#<alt (pow (log (/ 1 im)) 2)>
#<alt (+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (pow (log (/ 1 im)) 2))>
#<alt (+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow re 4) (log (/ 1 im)))) (pow re 4)) (pow im 4))) (pow (log (/ 1 im)) 2)))>
#<alt (+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* 1/4 (/ (+ (* -4/3 (* (pow re 6) (log (/ 1 im)))) (* -1 (pow re 6))) (pow im 6))) (+ (* 1/4 (/ (+ (* 2 (* (pow re 4) (log (/ 1 im)))) (pow re 4)) (pow im 4))) (pow (log (/ 1 im)) 2))))>
#<alt (pow (log (/ -1 im)) 2)>
#<alt (+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (pow (log (/ -1 im)) 2))>
#<alt (+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow re 4) (log (/ -1 im)))) (pow re 4)) (pow im 4))) (pow (log (/ -1 im)) 2)))>
#<alt (+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* 1/4 (/ (+ (* -4/3 (* (pow re 6) (log (/ -1 im)))) (* -1 (pow re 6))) (pow im 6))) (+ (* 1/4 (/ (+ (* 2 (* (pow re 4) (log (/ -1 im)))) (pow re 4)) (pow im 4))) (pow (log (/ -1 im)) 2))))>
#<alt (* 1/2 (log (pow im 2)))>
#<alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* 1/2 (log (pow re 2)))>
#<alt (+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>

Calls

99 calls:

Time	Variable		Point	Expression
18.0ms	im	@	0	(/ (log im) (neg (log (/ 1 base))))
7.0ms	base	@	-inf	(neg (log (/ 1 base)))
4.0ms	im	@	inf	(pow (* 1/2 (log (+ (* re re) (* im im)))) 2)
2.0ms	re	@	-inf	(* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base)))
2.0ms	re	@	inf	(* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base)))

rewrite363.0ms (2.2%)

Memory

-2.7MiB live, 852.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 186×	`-lowering-.f32`
4 186×	`-lowering-.f64`
2 872×	`/-lowering-/.f32`
2 872×	`/-lowering-/.f64`
2 162×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	171
1	135	157
2	756	128
3	7036	128
0	8742	120

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 521

Calls

Call 1

Inputs
(neg (log (/ 1 base)))
(/ (log im) (neg (log (/ 1 base))))
(log im)
(log (/ 1 base))
(* (/ 1 (log base)) (log im))
(/ 1 (log base))
(log base)
(/ -1 (* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base))))
(* (/ 2 (log (+ (* re re) (* im im)))) (log (/ 1 base)))
(/ 2 (log (+ (* re re) (* im im))))
(log (+ (* re re) (* im im)))
(* (/ (log im) (pow (log base) 2)) (log base))
(/ (log im) (pow (log base) 2))
(pow (log base) 2)
(* (pow (* 1/2 (log (+ (* re re) (* im im)))) 2) (/ 2 (log (+ (* re re) (* im im)))))
(/ (* (pow (* 1/2 (log (+ (* re re) (* im im)))) 2) (/ 2 (log (+ (* re re) (* im im))))) (log base))
(pow (* 1/2 (log (+ (* re re) (* im im)))) 2)
(* 1/2 (log (+ (* re re) (* im im))))

Outputs
(log.f64 base)
(+.f64 (log.f64 base) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (-.f64 #s(literal 0 binary64) base) #s(literal 1 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) base) #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) base)) (log.f64 #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) base)))
(+.f64 (log.f64 (pow.f64 (pow.f64 base #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (pow.f64 base #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (pow.f64 base #s(literal 1/2 binary64))) (log.f64 (pow.f64 base #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 base)))))
(-.f64 (log.f64 base) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) base)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) base)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1/2 binary64)))) (log.f64 (pow.f64 base #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 base) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
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simplify601.0ms (3.7%)

Memory

-9.5MiB live, 980.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 156×	`accelerator-lowering-fma.f32`
10 156×	`accelerator-lowering-fma.f64`
7 760×	`-lowering-.f32`
7 760×	`-lowering-.f64`
4 248×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	906	7960
1	2613	7572
0	8433	7258

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (+ (log -1) (log (/ -1 base))))
(* -1 (+ (log -1) (log (/ -1 base))))
(* -1 (+ (log -1) (log (/ -1 base))))
(* -1 (+ (log -1) (log (/ -1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
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Outputs
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
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(* -1 (log (/ 1 base)))
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(* -1 (+ (log -1) (log (/ -1 base))))
(-.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(* -1 (+ (log -1) (log (/ -1 base))))
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(* -1 (+ (log -1) (log (/ -1 base))))
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(* -1 (+ (log -1) (log (/ -1 base))))
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(/ (log (/ 1 im)) (log (/ 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (/ 1 im)) (log (/ 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (/ 1 im)) (log (/ 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (/ 1 im)) (log (/ 1 base)))
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(/ (log im) (log base))
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(-.f64 (.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (-.f64 (.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) (.f64 im im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (-.f64 (.f64 re (.f64 re (/.f64 #s(literal 1/2 binary64) (.f64 im im)))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))

eval429.0ms (2.6%)

Memory: 34.5MiB live, 753.3MiB allocated
Compiler: Compiled 66 600 to 5 584 computations (91.6% saved)

prune498.0ms (3.1%)

Memory

-15.1MiB live, 802.7MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	2 579	19	2 598
Fresh	10	9	19
Picked	2	3	5
Done	0	2	2
Total	2 591	33	2 624

Accuracy

100.0%

Counts

2 624 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))))
	47.5%	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 2 binary64)) (log.f64 base))
	98.8%	(/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	16.5%	(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 (.f64 im im) (-.f64 (.f64 im im) (*.f64 re re))))) #s(literal 2 binary64))) (log.f64 base))
▶	27.3%	(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (.f64 (+.f64 re im) (/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))))))) (log.f64 base))
	47.4%	(/.f64 (.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
▶	99.1%	(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 base))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	50.4%	(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
	49.8%	(/.f64 (log.f64 im) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
	98.8%	(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
✓	99.1%	(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	50.0%	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
▶	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))
▶	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
	16.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (+.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re))))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
	47.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 (.f64 re re) (*.f64 im im)) (+.f64 im re))) (log.f64 (+.f64 im re)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
	98.9%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
	51.3%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 im))
	50.4%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 im) (log.f64 base)))
	99.0%	(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
	98.9%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 im))) (log.f64 base))
	98.8%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	98.9%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	99.0%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im))
	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.1%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	99.0%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base))
▶	52.0%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))

Compiler

Compiled 1 064 to 697 computations (34.5% saved)

simplify311.0ms (1.9%)

Memory

-10.2MiB live, 529.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	12992	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))
✓	cost-diff	0	(/.f64 (log.f64 base) (log.f64 im))
✓	cost-diff	0	(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
✓	cost-diff	0	(*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))
✓	cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (.f64 (+.f64 re im) (/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im)))))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (.f64 (+.f64 re im) (/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))))))) (log.f64 base))
✓	cost-diff	384	(/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))
✓	cost-diff	512	(.f64 (+.f64 re im) (/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 (log.f64 base) (log.f64 im))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) im)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) im))
✓	cost-diff	0	(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 base))
✓	cost-diff	192	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)))

Rules

9 862×	`accelerator-lowering-fma.f32`
9 862×	`accelerator-lowering-fma.f64`
3 526×	`-lowering-.f32`
3 526×	`-lowering-.f64`
1 926×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	272
1	79	223
2	155	223
3	359	223
4	1025	193
5	4341	193
0	8416	188

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (neg (log (/ 1 im))) (log base))
(neg (log (/ 1 im)))
(log (/ 1 im))
(/ 1 im)
1
im
(log base)
base
(/ 1 (/ (log base) (log im)))
1
(/ (log base) (log im))
(log base)
base
(log im)
im
(/ (- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))))) (log base))
(- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))))))
0
(log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))))
(sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))))
(* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))
(+ re im)
re
im
(/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))
(- re im)
(- (* re (* re (* re re))) (* im (* im (* im im))))
(* re (* re (* re re)))
(* re (* re re))
(* re re)
(* im (* im (* im im)))
(* im (* im im))
(* im im)
(log base)
base
(exp (* (log (/ (log base) (log im))) -1))
(* (log (/ (log base) (log im))) -1)
(log (/ (log base) (log im)))
(/ (log base) (log im))
(log base)
base
(log im)
im
-1
(/ (log base) (/ (pow (log base) 2) (log im)))
(log base)
base
(/ (pow (log base) 2) (log im))
(pow (log base) 2)
2
(log im)
im

Outputs
(/ (neg (log (/ 1 im))) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(neg (log (/ 1 im)))
(log.f64 im)
(log (/ 1 im))
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
1
#s(literal 1 binary64)
im
(log base)
(log.f64 base)
base
(/ 1 (/ (log base) (log im)))
(/.f64 (log.f64 im) (log.f64 base))
1
#s(literal 1 binary64)
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(log base)
(log.f64 base)
base
(log im)
(log.f64 im)
im
(/ (- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))))) (log base))
(/.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))))
0
#s(literal 0 binary64)
(log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))))
(log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))
(sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))
(* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))
(+ re im)
(+.f64 im re)
re
im
(/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 im re) (+.f64 (.f64 re re) (*.f64 im im))))
(- re im)
(-.f64 re im)
(- (* re (* re (* re re))) (* im (* im (* im im))))
(.f64 (+.f64 im re) (.f64 (-.f64 re im) (+.f64 (.f64 re re) (.f64 im im))))
(* re (* re (* re re)))
(.f64 re (.f64 re (*.f64 re re)))
(* re (* re re))
(.f64 re (.f64 re re))
(* re re)
(*.f64 re re)
(* im (* im (* im im)))
(.f64 im (.f64 im (*.f64 im im)))
(* im (* im im))
(.f64 im (.f64 im im))
(* im im)
(*.f64 im im)
(log base)
(log.f64 base)
base
(exp (* (log (/ (log base) (log im))) -1))
(/.f64 (log.f64 im) (log.f64 base))
(* (log (/ (log base) (log im))) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 base) (log.f64 im))))
(log (/ (log base) (log im)))
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(log base)
(log.f64 base)
base
(log im)
(log.f64 im)
im
-1
#s(literal -1 binary64)
(/ (log base) (/ (pow (log base) 2) (log im)))
(/.f64 (log.f64 im) (log.f64 base))
(log base)
(log.f64 base)
base
(/ (pow (log base) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(log im)
(log.f64 im)
im

localize186.0ms (1.1%)

Memory

-14.2MiB live, 228.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
✓	accuracy	99.7%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
✓	accuracy	99.7%	(/.f64 (log.f64 base) (log.f64 im))
✓	accuracy	99.4%	(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
✓	accuracy	97.4%	(/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))
✓	accuracy	94.1%	(-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))
✓	accuracy	90.1%	(.f64 (+.f64 re im) (/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))))
✓	accuracy	77.3%	(sqrt.f64 (.f64 (+.f64 re im) (/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im)))))))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓	accuracy	99.7%	(/.f64 (log.f64 base) (log.f64 im))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) im))
✓	accuracy	99.7%	(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 base))

Samples

47.0ms	135×	0	valid
35.0ms	121×	0	invalid

Compiler

Compiled 314 to 38 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-log: 18.0ms (31.7% of total)

ival-div: 15.0ms (26.4% of total)

ival-mult: 11.0ms (19.4% of total)

ival-sub: 3.0ms (5.3% of total)

ival-exp: 2.0ms (3.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

ival-pow2: 2.0ms (3.5% of total)

ival-add: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series416.0ms (2.6%)

Memory

25.2MiB live, 526.3MiB allocated

Counts

20 → 420

Calls

Call 1

Inputs
#<alt (neg (log (/ 1 im)))>
#<alt (/ (neg (log (/ 1 im))) (log base))>
#<alt (log (/ 1 im))>
#<alt (/ 1 im)>
#<alt (/ 1 (/ (log base) (log im)))>
#<alt (/ (log base) (log im))>
#<alt (log base)>
#<alt (log im)>
#<alt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))>
#<alt (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))>
#<alt (/ (- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))))) (log base))>
#<alt (- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))))))>
#<alt (exp (* (log (/ (log base) (log im))) -1))>
#<alt (* (log (/ (log base) (log im))) -1)>
#<alt (log (/ (log base) (log im)))>
#<alt (/ (log base) (/ (pow (log base) 2) (log im)))>
#<alt (/ (pow (log base) 2) (log im))>
#<alt (pow (log base) 2)>
#<alt (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))))>
#<alt (- (* re (* re (* re re))) (* im (* im (* im im))))>

Outputs
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (+ (log -1) (log (/ -1 im))))>
#<alt (* -1 (+ (log -1) (log (/ -1 im))))>
#<alt (* -1 (+ (log -1) (log (/ -1 im))))>
#<alt (* -1 (+ (log -1) (log (/ -1 im))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (+ (log -1) (log (/ -1 im))) (log base)))>
#<alt (* -1 (/ (+ (log -1) (log (/ -1 im))) (log base)))>
#<alt (* -1 (/ (+ (log -1) (log (/ -1 im))) (log base)))>
#<alt (* -1 (/ (+ (log -1) (log (/ -1 im))) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (log (/ 1 im)) (log (/ 1 base)))>
#<alt (/ (log (/ 1 im)) (log (/ 1 base)))>
#<alt (/ (log (/ 1 im)) (log (/ 1 base)))>
#<alt (/ (log (/ 1 im)) (log (/ 1 base)))>
#<alt (* -1 (/ (log (/ 1 im)) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* -1 (/ (log (/ 1 im)) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* -1 (/ (log (/ 1 im)) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* -1 (/ (log (/ 1 im)) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* -1 (log im))>
#<alt (* -1 (log im))>
#<alt (* -1 (log im))>
#<alt (* -1 (log im))>
#<alt (log (/ 1 im))>
#<alt (log (/ 1 im))>
#<alt (log (/ 1 im))>
#<alt (log (/ 1 im))>
#<alt (+ (log -1) (log (/ -1 im)))>
#<alt (+ (log -1) (log (/ -1 im)))>
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#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))>
#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))>
#<alt (* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))>
#<alt (* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))>
#<alt (* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))>
#<alt (* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))>
#<alt (* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))>
#<alt (* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))>
#<alt (* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (* -1 (/ (log (/ 1 base)) (log im))))>
#<alt (log (* -1 (/ (log (/ 1 base)) (log im))))>
#<alt (log (* -1 (/ (log (/ 1 base)) (log im))))>
#<alt (log (* -1 (/ (log (/ 1 base)) (log im))))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (* -1 (/ (log base) (log (/ 1 im)))))>
#<alt (log (* -1 (/ (log base) (log (/ 1 im)))))>
#<alt (log (* -1 (/ (log base) (log (/ 1 im)))))>
#<alt (log (* -1 (/ (log base) (log (/ 1 im)))))>
#<alt (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))>
#<alt (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))>
#<alt (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))>
#<alt (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (pow (log base) 2) (log im))>
#<alt (/ (pow (log base) 2) (log im))>
#<alt (/ (pow (log base) 2) (log im))>
#<alt (/ (pow (log base) 2) (log im))>
#<alt (/ (pow (log (/ 1 base)) 2) (log im))>
#<alt (/ (pow (log (/ 1 base)) 2) (log im))>
#<alt (/ (pow (log (/ 1 base)) 2) (log im))>
#<alt (/ (pow (log (/ 1 base)) 2) (log im))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (log im))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (log im))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (log im))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (log im))>
#<alt (/ (pow (log base) 2) (log im))>
#<alt (/ (pow (log base) 2) (log im))>
#<alt (/ (pow (log base) 2) (log im))>
#<alt (/ (pow (log base) 2) (log im))>
#<alt (* -1 (/ (pow (log base) 2) (log (/ 1 im))))>
#<alt (* -1 (/ (pow (log base) 2) (log (/ 1 im))))>
#<alt (* -1 (/ (pow (log base) 2) (log (/ 1 im))))>
#<alt (* -1 (/ (pow (log base) 2) (log (/ 1 im))))>
#<alt (/ (pow (log base) 2) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (pow (log base) 2) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (pow (log base) 2) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (pow (log base) 2) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (/ 1 im)>
#<alt (+ (* -1/2 (/ (* re (+ im (* -1 im))) (pow im 3))) (/ 1 im))>
#<alt (+ (* re (+ (* -1/2 (* im (* re (+ (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow im 6))) (/ 1 (pow im 4)))))) (* -1/2 (/ (+ im (* -1 im)) (pow im 3))))) (/ 1 im))>
#<alt (+ (* re (+ (* -1/2 (/ (+ im (* -1 im)) (pow im 3))) (* re (+ (* -1/2 (* im (+ (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow im 6))) (/ 1 (pow im 4))))) (* -1/4 (/ (* re (* (+ im (* -1 im)) (+ (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow im 6))) (/ 1 (pow im 4))))) im)))))) (/ 1 im))>
#<alt (/ 1 re)>
#<alt (/ (+ 1 (* 1/2 (/ (+ im (* -1 im)) re))) re)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (+ im (* -1 im)) re)) (* 1/2 (/ (- (* -1 (pow im 2)) (* 1/4 (pow (+ im (* -1 im)) 2))) (pow re 2))))) re)>
#<alt (/ (+ 1 (+ (* -1/4 (/ (* (+ im (* -1 im)) (- (* -1 (pow im 2)) (* 1/4 (pow (+ im (* -1 im)) 2)))) (pow re 3))) (+ (* 1/2 (/ (+ im (* -1 im)) re)) (* 1/2 (/ (- (* -1 (pow im 2)) (* 1/4 (pow (+ im (* -1 im)) 2))) (pow re 2)))))) re)>
#<alt (* -1 (/ (pow (sqrt -1) 2) re))>
#<alt (* -1 (/ (+ (* -1/2 (/ (+ im (* -1 im)) re)) (pow (sqrt -1) 2)) re))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (pow im 2) (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow (sqrt -1) 2)))) re)) (* 1/2 (+ im (* -1 im)))) re)) (pow (sqrt -1) 2)) re))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ im (* -1 im)) (- (pow im 2) (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow (sqrt -1) 2))))) (* re (pow (sqrt -1) 2)))) (* 1/2 (- (pow im 2) (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow (sqrt -1) 2)))))) re)) (* 1/2 (+ im (* -1 im)))) re)) (pow (sqrt -1) 2)) re))>
#<alt (/ 1 re)>
#<alt (+ (* -1/2 (/ (pow im 2) (pow re 3))) (/ 1 re))>
#<alt (+ (* (pow im 2) (- (* 3/8 (/ (pow im 2) (pow re 5))) (* 1/2 (/ 1 (pow re 3))))) (/ 1 re))>
#<alt (+ (* (pow im 2) (- (* (pow im 2) (+ (* -5/16 (/ (pow im 2) (pow re 7))) (* 3/8 (/ 1 (pow re 5))))) (* 1/2 (/ 1 (pow re 3))))) (/ 1 re))>
#<alt (/ 1 im)>
#<alt (/ (+ 1 (* -1/2 (/ (+ re (* -1 re)) im))) im)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ re (* -1 re)) im)) (* 1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) (pow im 2))))) im)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ re (* -1 re)) im)) (+ (* 1/4 (/ (* (+ re (* -1 re)) (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) (pow im 3))) (* 1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) (pow im 2)))))) im)>
#<alt (/ -1 im)>
#<alt (* -1 (/ (+ 1 (* 1/2 (/ (+ re (* -1 re)) im))) im))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ re (* -1 re))) (* -1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) im))) im))) im))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (+ re (* -1 re)) (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) im)) (* 1/2 (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))))) im)) (* -1/2 (+ re (* -1 re)))) im))) im))>
#<alt (* -1 (pow im 4))>
#<alt (- (pow re 4) (pow im 4))>
#<alt (- (pow re 4) (pow im 4))>
#<alt (- (pow re 4) (pow im 4))>
#<alt (pow re 4)>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))>
#<alt (pow re 4)>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))>
#<alt (pow re 4)>
#<alt (+ (* -1 (pow im 4)) (pow re 4))>
#<alt (+ (* -1 (pow im 4)) (pow re 4))>
#<alt (+ (* -1 (pow im 4)) (pow re 4))>
#<alt (* -1 (pow im 4))>
#<alt (* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))>
#<alt (* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))>
#<alt (* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))>
#<alt (* -1 (pow im 4))>
#<alt (* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))>
#<alt (* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))>
#<alt (* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))>

Calls

105 calls:

Time	Variable		Point	Expression
220.0ms	im	@	-inf	(* (log (/ (log base) (log im))) -1)
44.0ms	base	@	0	(/ (- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))))) (log base))
23.0ms	re	@	0	(- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))))))
19.0ms	base	@	-inf	(* (log (/ (log base) (log im))) -1)
19.0ms	base	@	inf	(* (log (/ (log base) (log im))) -1)

rewrite485.0ms (3%)

Memory

29.6MiB live, 807.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 506×	`accelerator-lowering-fma.f32`
4 506×	`accelerator-lowering-fma.f64`
4 376×	`-lowering-.f32`
4 376×	`-lowering-.f64`
3 936×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	186
1	179	149
2	1273	122
0	8837	108

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 184

Calls

Call 1

Inputs
(neg (log (/ 1 im)))
(/ (neg (log (/ 1 im))) (log base))
(log (/ 1 im))
(/ 1 im)
(/ 1 (/ (log base) (log im)))
(/ (log base) (log im))
(log base)
(log im)
(* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))
(/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))
(/ (- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im))))))))) (log base))
(- 0 (log (sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))))))
(exp (* (log (/ (log base) (log im))) -1))
(* (log (/ (log base) (log im))) -1)
(log (/ (log base) (log im)))
(/ (log base) (/ (pow (log base) 2) (log im)))
(/ (pow (log base) 2) (log im))
(pow (log base) 2)
(sqrt (* (+ re im) (/ (- re im) (- (* re (* re (* re re))) (* im (* im (* im im)))))))
(- (* re (* re (* re re))) (* im (* im (* im im))))

Outputs
(log.f64 im)
(+.f64 (log.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) im)))
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im))) #s(literal -1 binary64)))
(-.f64 (log.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 1 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) im)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(fma.f64 #s(literal 1 binary64) (log.f64 im) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #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 3 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64)))) (log.f64 im))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64)) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 0 binary64)) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
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(.f64 (+.f64 (.f64 re re) (.f64 im im)) (-.f64 (.f64 re re) (*.f64 im im)))

simplify449.0ms (2.8%)

Memory

-26.1MiB live, 675.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 014×	`accelerator-lowering-fma.f32`
8 014×	`accelerator-lowering-fma.f64`
3 404×	`-lowering-.f32`
3 404×	`-lowering-.f64`
2 266×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	710	5345
1	1986	4149
2	7412	4095
0	8078	4015

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
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(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))
(* -1 (pow im 4))
(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))
(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))
(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))

Outputs
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (+ (log -1) (log (/ -1 im))))
(-.f64 #s(literal 0 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* -1 (+ (log -1) (log (/ -1 im))))
(-.f64 #s(literal 0 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* -1 (+ (log -1) (log (/ -1 im))))
(-.f64 #s(literal 0 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* -1 (+ (log -1) (log (/ -1 im))))
(-.f64 #s(literal 0 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (+ (log -1) (log (/ -1 im))) (log base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(* -1 (/ (+ (log -1) (log (/ -1 im))) (log base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(* -1 (/ (+ (log -1) (log (/ -1 im))) (log base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(* -1 (/ (+ (log -1) (log (/ -1 im))) (log base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (/ 1 im)) (log (/ 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (/ 1 im)) (log (/ 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (/ 1 im)) (log (/ 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (/ 1 im)) (log (/ 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (+ (log -1) (* -1 (log (/ -1 base))))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* -1 (/ (log (/ 1 im)) (+ (log -1) (* -1 (log (/ -1 base))))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* -1 (/ (log (/ 1 im)) (+ (log -1) (* -1 (log (/ -1 base))))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* -1 (/ (log (/ 1 im)) (+ (log -1) (* -1 (log (/ -1 base))))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* -1 (log im))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(* -1 (log im))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(* -1 (log im))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(* -1 (log im))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(log (/ 1 im))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(log (/ 1 im))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(log (/ 1 im))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(log (/ 1 im))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(+ (log -1) (log (/ -1 im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (log (/ -1 im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (log (/ -1 im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (log (/ -1 im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log (/ 1 base)) (log im)))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log (/ 1 base)) (log im)))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log (/ 1 base)) (log im)))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log (/ 1 base)) (log im)))
(/.f64 (log.f64 base) (log.f64 im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log base) (log (/ 1 im))))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log base) (log (/ 1 im))))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log base) (log (/ 1 im))))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log base) (log (/ 1 im))))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(/ 1 (pow im 2))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
(+ (* -1 (/ (* re (+ im (* -1 im))) (pow im 4))) (/ 1 (pow im 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 #s(literal 0 binary64) (.f64 (.f64 im (.f64 im im)) im)))
(+ (* re (+ (* -1 (/ re (pow im 4))) (* -1 (/ (+ im (* -1 im)) (pow im 4))))) (/ 1 (pow im 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (/.f64 re (.f64 (.f64 im (*.f64 im im)) im)) re))
(+ (* re (+ (* -1 (/ (+ im (* -1 im)) (pow im 4))) (* re (- (/ (pow re 2) (pow im 6)) (/ 1 (pow im 4)))))) (/ 1 (pow im 2)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 #s(literal 0 binary64) (.f64 (.f64 im (.f64 im im)) im))) (.f64 (.f64 re re) (-.f64 (/.f64 (.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) im)))))
(/ 1 (pow re 2))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(/ (+ 1 (+ (* -1 (/ im re)) (/ im re))) (pow re 2))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(/ (+ 1 (+ (* -1 (/ im re)) (+ (* -1 (/ (pow im 2) (pow re 2))) (/ im re)))) (pow re 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 im im) re) re)) (.f64 re re))
(/ (+ 1 (+ (* -1 (/ im re)) (+ (* -1 (/ (pow im 2) (pow re 2))) (+ (/ im re) (/ (pow im 4) (pow re 4)))))) (pow re 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 im im) re) re)) (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 (.f64 re (.f64 re re)) re))) (.f64 re re))
(/ 1 (pow re 2))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(/ (+ 1 (+ (* -1 (/ im re)) (/ im re))) (pow re 2))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(/ (+ 1 (* -1 (/ (+ (* -1 (+ im (* -1 im))) (/ (pow im 2) re)) re))) (pow re 2))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (.f64 im im) re) re) #s(literal 0 binary64))) (.f64 re re))
(/ (+ 1 (* -1 (/ (+ (* -1 (+ im (* -1 im))) (* -1 (/ (+ (* -1 (pow im 2)) (/ (pow im 4) (pow re 2))) re))) re))) (pow re 2))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 re re)) (.f64 im im)) re) re))) (.f64 re re))
(/ 1 (pow re 2))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(+ (* -1 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (/.f64 (.f64 im im) (.f64 (.f64 re (*.f64 re re)) re)))
(+ (* (pow im 2) (- (/ (pow im 2) (pow re 6)) (/ 1 (pow re 4)))) (/ 1 (pow re 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 (.f64 im im) (+.f64 (.f64 im (/.f64 im (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 re (*.f64 re re)) re)))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1 (/ (pow im 2) (pow re 8))) (/ 1 (pow re 6)))) (/ 1 (pow re 4)))) (/ 1 (pow re 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 (.f64 im im) (+.f64 (.f64 (.f64 im im) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 (.f64 im im) (pow.f64 re #s(literal 8 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 re (*.f64 re re)) re)))))
(/ 1 (pow im 2))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
(/ (+ 1 (* -1 (/ (+ re (* -1 re)) im))) (pow im 2))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
(/ (+ 1 (+ (* -1 (/ (+ re (* -1 re)) im)) (* -1 (/ (pow re 2) (pow im 2))))) (pow im 2))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (/.f64 re (.f64 im im)))) (*.f64 im im))
(/ (+ 1 (+ (* -1 (/ (+ re (* -1 re)) im)) (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (pow re 4) (pow im 4))))) (pow im 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im)) (.f64 re (/.f64 re (.f64 im im))))) (*.f64 im im))
(/ 1 (pow im 2))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
(/ (+ 1 (+ (* -1 (/ re im)) (/ re im))) (pow im 2))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
(/ (+ 1 (* -1 (/ (+ (* -1 (+ re (* -1 re))) (/ (pow re 2) im)) im))) (pow im 2))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 re (/.f64 re (.f64 im im)))) (*.f64 im im))
(/ (+ 1 (* -1 (/ (+ (* -1 (+ re (* -1 re))) (* -1 (/ (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))) im))) im))) (pow im 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 im im)) (.f64 re re)) (-.f64 #s(literal 0 binary64) im)) im)) (.f64 im im))
(/ 1 (pow im 3))
(/.f64 #s(literal 1 binary64) (.f64 im (.f64 im im)))
(+ (* -1 (/ re (pow im 4))) (/ 1 (pow im 3)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) (.f64 im (.f64 im im)))
(+ (* re (- (/ (pow re 3) (pow im 7)) (/ 1 (pow im 4)))) (/ 1 (pow im 3)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im im))) (.f64 re (+.f64 (/.f64 (.f64 re (.f64 re re)) (pow.f64 im #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im (.f64 im im)) im)))))
(+ (* re (- (* (pow re 3) (+ (* -1 (/ re (pow im 8))) (/ 1 (pow im 7)))) (/ 1 (pow im 4)))) (/ 1 (pow im 3)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im im))) (.f64 re (+.f64 (.f64 (.f64 re (.f64 re re)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64))) (/.f64 re (pow.f64 im #s(literal 8 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im (*.f64 im im)) im)))))
(/ 1 (pow re 3))
(/.f64 #s(literal 1 binary64) (.f64 re (.f64 re re)))
(/ (+ 1 (* -1 (/ im re))) (pow re 3))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 im re)) (.f64 re (.f64 re re)))
(/ (+ 1 (+ (* -1 (/ im re)) (/ (pow im 4) (pow re 4)))) (pow re 3))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 (.f64 re (.f64 re re)) re)) (-.f64 #s(literal 1 binary64) (/.f64 im re))) (.f64 re (.f64 re re)))
(/ (- (+ 1 (+ (* -1 (/ im re)) (* -1 (/ (pow im 5) (pow re 5))))) (* -1 (/ (pow im 4) (pow re 4)))) (pow re 3))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 (.f64 re (.f64 re re)) re)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 im re) (/.f64 (pow.f64 im #s(literal 5 binary64)) (pow.f64 re #s(literal 5 binary64)))))) (.f64 re (.f64 re re)))
(/ 1 (pow re 3))
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(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (pow (log base) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log base) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log base) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log base) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log (/ 1 base)) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log (/ 1 base)) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log (/ 1 base)) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log (/ 1 base)) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (log im))
(/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (log im))
(/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (log im))
(/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (log im))
(/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log base) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log base) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log base) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log base) 2) (log im))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(* -1 (/ (pow (log base) 2) (log (/ 1 im))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(* -1 (/ (pow (log base) 2) (log (/ 1 im))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(* -1 (/ (pow (log base) 2) (log (/ 1 im))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(* -1 (/ (pow (log base) 2) (log (/ 1 im))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))
(/ (pow (log base) 2) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (pow (log base) 2) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (pow (log base) 2) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (pow (log base) 2) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(+ (* -1/2 (/ (* re (+ im (* -1 im))) (pow im 3))) (/ 1 im))
(+.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 0 binary64))
(+ (* re (+ (* -1/2 (* im (* re (+ (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow im 6))) (/ 1 (pow im 4)))))) (* -1/2 (/ (+ im (* -1 im)) (pow im 3))))) (/ 1 im))
(+.f64 (/.f64 #s(literal 1 binary64) im) (.f64 re (+.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 im (/.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) im))) (/.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 re #s(literal -1/2 binary64))))))
(+ (* re (+ (* -1/2 (/ (+ im (* -1 im)) (pow im 3))) (* re (+ (* -1/2 (* im (+ (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow im 6))) (/ 1 (pow im 4))))) (* -1/4 (/ (* re (* (+ im (* -1 im)) (+ (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow im 6))) (/ 1 (pow im 4))))) im)))))) (/ 1 im))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 0 binary64)) (+.f64 (.f64 re (.f64 (+.f64 (.f64 im (/.f64 #s(literal 1 binary64) (.f64 (.f64 im (.f64 im im)) im))) (/.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 re #s(literal -1/2 binary64)))) (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 im (.f64 im im)) im)) (/.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 6 binary64))))))
(/ 1 re)
(/.f64 #s(literal 1 binary64) re)
(/ (+ 1 (* 1/2 (/ (+ im (* -1 im)) re))) re)
(/.f64 #s(literal 1 binary64) re)
(/ (+ 1 (+ (* 1/2 (/ (+ im (* -1 im)) re)) (* 1/2 (/ (- (* -1 (pow im 2)) (* 1/4 (pow (+ im (* -1 im)) 2))) (pow re 2))))) re)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 re re))) re)
(/ (+ 1 (+ (* -1/4 (/ (* (+ im (* -1 im)) (- (* -1 (pow im 2)) (* 1/4 (pow (+ im (* -1 im)) 2)))) (pow re 3))) (+ (* 1/2 (/ (+ im (* -1 im)) re)) (* 1/2 (/ (- (* -1 (pow im 2)) (* 1/4 (pow (+ im (* -1 im)) 2))) (pow re 2)))))) re)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 re re))) (.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) re))) re)
(* -1 (/ (pow (sqrt -1) 2) re))
(/.f64 #s(literal 1 binary64) re)
(* -1 (/ (+ (* -1/2 (/ (+ im (* -1 im)) re)) (pow (sqrt -1) 2)) re))
(/.f64 #s(literal 1 binary64) re)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (pow im 2) (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow (sqrt -1) 2)))) re)) (* 1/2 (+ im (* -1 im)))) re)) (pow (sqrt -1) 2)) re))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 0 binary64)) re) #s(literal 0 binary64)) re)) (-.f64 #s(literal 0 binary64) re))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ im (* -1 im)) (- (pow im 2) (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow (sqrt -1) 2))))) (* re (pow (sqrt -1) 2)))) (* 1/2 (- (pow im 2) (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow (sqrt -1) 2)))))) re)) (* 1/2 (+ im (* -1 im)))) re)) (pow (sqrt -1) 2)) re))
(/.f64 (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (+.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) re) re))) (-.f64 #s(literal 0 binary64) re))
(/ 1 re)
(/.f64 #s(literal 1 binary64) re)
(+ (* -1/2 (/ (pow im 2) (pow re 3))) (/ 1 re))
(+.f64 (/.f64 #s(literal 1 binary64) re) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 (.f64 im im) re) re) re)))
(+ (* (pow im 2) (- (* 3/8 (/ (pow im 2) (pow re 5))) (* 1/2 (/ 1 (pow re 3))))) (/ 1 re))
(+.f64 (/.f64 #s(literal 1 binary64) re) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (.f64 im im) #s(literal 3/8 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 re (.f64 re re))))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -5/16 (/ (pow im 2) (pow re 7))) (* 3/8 (/ 1 (pow re 5))))) (* 1/2 (/ 1 (pow re 3))))) (/ 1 re))
(+.f64 (/.f64 #s(literal 1 binary64) re) (.f64 (.f64 im im) (+.f64 (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (.f64 im im) #s(literal -5/16 binary64)) (pow.f64 re #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 re #s(literal 5 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 re (.f64 re re))))))
(/ 1 im)
(/.f64 #s(literal 1 binary64) im)
(/ (+ 1 (* -1/2 (/ (+ re (* -1 re)) im))) im)
(/.f64 #s(literal 1 binary64) im)
(/ (+ 1 (+ (* -1/2 (/ (+ re (* -1 re)) im)) (* 1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) (pow im 2))))) im)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 re re))) im) im)) im)
(/ (+ 1 (+ (* -1/2 (/ (+ re (* -1 re)) im)) (+ (* 1/4 (/ (* (+ re (* -1 re)) (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) (pow im 3))) (* 1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) (pow im 2)))))) im)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 re re)) #s(literal 0 binary64))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 re re))) im) im)) im)
(/ -1 im)
(/.f64 #s(literal -1 binary64) im)
(* -1 (/ (+ 1 (* 1/2 (/ (+ re (* -1 re)) im))) im))
(/.f64 #s(literal -1 binary64) im)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ re (* -1 re))) (* -1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) im))) im))) im))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 re re))) im) im)) im)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (+ re (* -1 re)) (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) im)) (* 1/2 (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))))) im)) (* -1/2 (+ re (* -1 re)))) im))) im))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 re re))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 re re)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) im)) im)) (-.f64 #s(literal 0 binary64) im))
(* -1 (pow im 4))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 im (*.f64 im im)) im))
(- (pow re 4) (pow im 4))
(-.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))
(- (pow re 4) (pow im 4))
(-.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))
(- (pow re 4) (pow im 4))
(-.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))
(pow re 4)
(.f64 (.f64 re (*.f64 re re)) re)
(* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))
(.f64 (.f64 (.f64 re (.f64 re re)) re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 (.f64 re (.f64 re re)) re))))
(* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))
(.f64 (.f64 (.f64 re (.f64 re re)) re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 (.f64 re (.f64 re re)) re))))
(* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))
(.f64 (.f64 (.f64 re (.f64 re re)) re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 (.f64 re (.f64 re re)) re))))
(pow re 4)
(.f64 (.f64 re (*.f64 re re)) re)
(* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))
(.f64 (.f64 (.f64 re (.f64 re re)) re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 (.f64 re (.f64 re re)) re))))
(* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))
(.f64 (.f64 (.f64 re (.f64 re re)) re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 (.f64 re (.f64 re re)) re))))
(* (pow re 4) (+ 1 (* -1 (/ (pow im 4) (pow re 4)))))
(.f64 (.f64 (.f64 re (.f64 re re)) re) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 im (.f64 im im)) im) (.f64 (.f64 re (.f64 re re)) re))))
(pow re 4)
(.f64 (.f64 re (*.f64 re re)) re)
(+ (* -1 (pow im 4)) (pow re 4))
(-.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))
(+ (* -1 (pow im 4)) (pow re 4))
(-.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))
(+ (* -1 (pow im 4)) (pow re 4))
(-.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))
(* -1 (pow im 4))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 im (*.f64 im im)) im))
(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))
(.f64 (.f64 (.f64 im (.f64 im im)) im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))))
(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))
(.f64 (.f64 (.f64 im (.f64 im im)) im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))))
(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))
(.f64 (.f64 (.f64 im (.f64 im im)) im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))))
(* -1 (pow im 4))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 im (*.f64 im im)) im))
(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))
(.f64 (.f64 (.f64 im (.f64 im im)) im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))))
(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))
(.f64 (.f64 (.f64 im (.f64 im im)) im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))))
(* (pow im 4) (- (/ (pow re 4) (pow im 4)) 1))
(.f64 (.f64 (.f64 im (.f64 im im)) im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 re (.f64 re re)) re) (.f64 (.f64 im (.f64 im im)) im))))

eval1.4s (8.5%)

Memory: 32.8MiB live, 521.7MiB allocated
Compiler: Compiled 52 683 to 5 507 computations (89.5% saved)

prune394.0ms (2.4%)

Memory

-17.7MiB live, 430.4MiB allocated

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	1 946	8	1 954
Fresh	6	17	23
Picked	2	3	5
Done	1	4	5
Total	1 955	32	1 987

Accuracy

100.0%

Counts

1 987 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	47.5%	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 2 binary64)) (log.f64 base))
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	32.2%	(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (.f64 (+.f64 re im) (/.f64 #s(literal 1 binary64) (.f64 im (*.f64 im im))))))) (log.f64 base))
	32.3%	(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 im re)))) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 re re) (*.f64 im im)) (+.f64 im re))))))) (log.f64 base))
✓	99.1%	(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 base))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	50.4%	(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
	49.8%	(/.f64 (log.f64 im) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
✓	99.1%	(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	50.0%	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))
	99.0%	(/.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 (log.f64 im) (log.f64 base))))
	75.8%	(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
✓	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
	75.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 im)))))
	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
	16.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (+.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re))))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
	47.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 (.f64 re re) (*.f64 im im)) (+.f64 im re))) (log.f64 (+.f64 im re)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
	51.3%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 im))
	50.4%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 im) (log.f64 base)))
	99.0%	(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
	98.9%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 im))) (log.f64 base))
	98.8%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.0%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im))
	98.8%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.1%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	99.0%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base))
	52.1%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))

Compiler

Compiled 1 606 to 580 computations (63.9% saved)

regimes107.0ms (0.7%)

Memory

28.6MiB live, 181.2MiB allocated

Counts

71 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 2 binary64)) (log.f64 base))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 base))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (.f64 (+.f64 re im) (/.f64 #s(literal 1 binary64) (.f64 im (*.f64 im im))))))) (log.f64 base))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 (.f64 re re) (*.f64 im im)) (+.f64 im re))) (log.f64 (+.f64 im re)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 im re)))) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 re re) (*.f64 im im)) (+.f64 im re))))))) (log.f64 base))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (.f64 (+.f64 re im) (/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))))))) (log.f64 base))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 (.f64 im im) (-.f64 (.f64 im im) (*.f64 re re))))) #s(literal 2 binary64))) (log.f64 base))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (+.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re))))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (log.f64 im) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 im)))))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))
(/.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 im))) (log.f64 base))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 im) #s(literal 2 binary64)))) (log.f64 base))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
(/.f64 (.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)))))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 base))
(/.f64 (log.f64 (.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))))))) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)))
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (-.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))))

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

Calls

5 calls:

24.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
21.0ms	base
19.0ms	im
19.0ms	re
19.0ms	(log.f64 base)

Results

Accuracy	Segments	Branch
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`
99.4%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.4%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes27.0ms (0.2%)

Memory

-42.9MiB live, 53.7MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 2 binary64)) (log.f64 base))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))

Outputs
(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))

Calls

4 calls:

10.0ms	re
7.0ms	(log.f64 base)
5.0ms	base
5.0ms	im

Results

Accuracy	Segments	Branch
99.1%	1	`re`
99.1%	1	`im`
99.1%	1	`base`
99.1%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes7.0ms (0%)

Memory

22.6MiB live, 22.6MiB allocated

Accuracy

Total -0.2b remaining (-43.6%)

Threshold costs -0.2b (-43.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 (log.f64 im) (log.f64 base))

Calls

4 calls:

2.0ms	(log.f64 base)
2.0ms	re
2.0ms	base
2.0ms	im

Results

Accuracy	Segments	Branch
99.1%	1	`re`
99.1%	1	`im`
99.1%	1	`base`
99.1%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify9.0ms (0.1%)

Memory

-17.8MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	22	20
2	28	20
3	33	20
4	36	20
5	37	20

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))

Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (log.f64 im) (log.f64 base))

soundness1.3s (7.9%)

Memory

-2.4MiB live, 1 912.3MiB allocated

Rules

16 410×	`accelerator-lowering-fma.f32`
16 410×	`accelerator-lowering-fma.f64`
6 840×	`-lowering-.f32`
6 840×	`-lowering-.f64`
5 206×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	154
1	139	151
2	834	151
0	8020	97
0	362	4624
1	1001	4490
2	3050	4486
3	7899	4486
0	8560	4028
0	18	20
1	25	18
2	29	18
3	39	14
4	48	12
5	49	12
6	102	12
7	306	12
8	1167	12
9	1904	12
10	2354	12
11	2660	12
12	3131	12
13	3858	12
14	4873	12
15	5999	12
16	6341	12
17	6548	12
18	6743	12
19	6950	12
0	8439	7

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 81 to 57 computations (29.6% saved)

preprocess40.0ms (0.2%)

Memory

20.9MiB live, 98.4MiB allocated

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 290 to 192 computations (33.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze165.0ms (1%)

sample1.4s (8.8%)

preprocess353.0ms (2.2%)

explain294.0ms (1.8%)

eval0.0ms (0%)

prune5.0ms (0%)

simplify275.0ms (1.7%)

localize64.0ms (0.4%)

series134.0ms (0.8%)

rewrite475.0ms (2.9%)

simplify534.0ms (3.3%)

eval351.0ms (2.2%)

prune421.0ms (2.6%)

simplify682.0ms (4.2%)

localize133.0ms (0.8%)

series395.0ms (2.4%)

rewrite769.0ms (4.7%)

simplify826.0ms (5.1%)

eval1.2s (7.1%)

prune368.0ms (2.3%)

simplify217.0ms (1.3%)

localize121.0ms (0.7%)

series74.0ms (0.5%)

rewrite363.0ms (2.2%)

simplify601.0ms (3.7%)

eval429.0ms (2.6%)

prune498.0ms (3.1%)

simplify311.0ms (1.9%)

localize186.0ms (1.1%)

series416.0ms (2.6%)

rewrite485.0ms (3%)

simplify449.0ms (2.8%)

eval1.4s (8.5%)

prune394.0ms (2.4%)

regimes107.0ms (0.7%)

regimes27.0ms (0.2%)

regimes7.0ms (0%)

simplify9.0ms (0.1%)

soundness1.3s (7.9%)

preprocess40.0ms (0.2%)

end0.0ms (0%)

Profiling