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

analyze298.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	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 32 to 19 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 73.0ms (44.4% of total)

ival-log: 39.0ms (23.7% of total)

ival-add: 15.0ms (9.1% of total)

ival-atan2: 12.0ms (7.3% of total)

ival-sqrt: 9.0ms (5.5% of total)

ival-div: 7.0ms (4.3% of total)

ival-sub: 7.0ms (4.3% of total)

const: 2.0ms (1.2% of total)

backward-pass: 1.0ms (0.6% of total)

sample1.7s (13.4%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 998.0ms

ival-mult: 341.0ms (34.2% of total)

ival-log: 247.0ms (24.8% of total)

ival-atan2: 118.0ms (11.8% of total)

ival-add: 95.0ms (9.5% of total)

ival-sqrt: 71.0ms (7.1% of total)

ival-div: 57.0ms (5.7% of total)

ival-sub: 53.0ms (5.3% of total)

const: 13.0ms (1.3% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess203.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

2532×	`-lowering-.f32`
2532×	`-lowering-.f64`
2034×	`fnmadd-define`
1996×	`fmsub-define`
1972×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	121
1	275	111
2	579	86
3	1261	69
4	2350	69
5	4388	69
6	7668	69
0	18	11
1	45	10
2	75	8
3	105	6
4	135	6
5	215	6
6	603	6
7	1808	6
8	3054	6
9	4452	6
10	5502	6
11	7293	6
0	8172	6

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

explain251.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
134	-	2	(1.9082425252488898e-157 -1.442682361970833e-305 1.4241576458488586e-282)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	-	0	-	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`base`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`im`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(log.f64 base)`

Results

169.0ms

512×

valid

Compiler

Compiled 277 to 56 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-div: 35.0ms (38.2% of total)

ival-mult: 21.0ms (22.9% of total)

ival-log: 14.0ms (15.3% of total)

ival-atan2: 6.0ms (6.6% of total)

ival-add: 5.0ms (5.5% of total)

ival-sqrt: 5.0ms (5.5% of total)

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

const: 1.0ms (1.1% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	48.1%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

99.5%

(/.f64 (atan2.f64 im re) (log.f64 base))

▶

48.1%

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

Compiler

Compiled 40 to 24 computations (40% saved)

simplify135.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	320	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
✓	cost-diff	13312	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
✓	cost-diff	13440	(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
✓	cost-diff	26752	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Rules

2190×	`-lowering-.f32`
2190×	`-lowering-.f64`
1996×	`fmsub-define`
1972×	`fmm-def`
1964×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	46	73
2	75	69
3	105	65
4	135	65
5	215	65
6	603	65
7	1809	65
8	3061	65
9	4468	65
10	5521	65
11	7314	65
0	8017	65

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize129.0ms (1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.5%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.5%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	51.7%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

73.0ms

256×

valid

Compiler

Compiled 137 to 20 computations (85.4% saved)

Precisions

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

ival-mult: 9.0ms (32.1% of total)

ival-log: 6.0ms (21.4% of total)

ival-div: 3.0ms (10.7% of total)

ival-add: 3.0ms (10.7% of total)

ival-atan2: 3.0ms (10.7% of total)

ival-sqrt: 2.0ms (7.1% of total)

ival-sub: 1.0ms (3.6% of total)

const: 1.0ms (3.6% of total)

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

series91.0ms (0.7%)

Counts

10 → 264

Calls

Call 1

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

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<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)))))>
#<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 (log re)>
#<alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (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))))))>
#<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))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (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))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<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 im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ 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)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -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))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ 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)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -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))))))))>
#<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 (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>

Calls

66 calls:

Time	Variable		Point	Expression
27.0ms	im	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
19.0ms	base	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
15.0ms	base	@	-inf	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
9.0ms	re	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
8.0ms	base	@	inf	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))

rewrite416.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
3188×	`/-lowering-/.f32`
3188×	`/-lowering-/.f64`
912×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	116	48
2	810	40
3	7923	40
0	8027	40

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 964

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64)) (.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 4 binary64))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 4 binary64)) (.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 9 binary64)) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
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(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (log.f64 base))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (atan2.f64 im re))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 4 binary64)))

simplify295.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4250×	`-lowering-.f32`
4250×	`-lowering-.f64`
2740×	`fma-lowering-fma.f32`
2740×	`fma-lowering-fma.f64`
1804×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2000
1	580	1846
2	1913	1798
3	6783	1798
0	8138	1798

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(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))))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(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))))
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))))))))
(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) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
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im
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re
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(pow (log base) 2)
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(pow (log base) 2)
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(pow (log base) 2)
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(pow (log (/ 1 base)) 2)
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(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) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))

eval178.0ms (1.4%)

Compiler: Compiled 35015 to 2320 computations (93.4% saved)

prune159.0ms (1.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1328	18	1346
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1329	19	1348

Accuracy

100.0%

Counts

1348 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	45.7%	(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
	83.0%	(/.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.2%	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
▶	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	83.2%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (log.f64 base))))
	99.2%	(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (atan2.f64 im re) (log.f64 base))))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	45.9%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))

Compiler

Compiled 553 to 370 computations (33.1% saved)

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -4 binary64))
✓	cost-diff	19456	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	12992	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	128	(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
✓	cost-diff	12928	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
✓	cost-diff	12928	(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	128	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))

Rules

1708×	`-lowering-.f32`
1708×	`-lowering-.f64`
1368×	`sum3-define`
1108×	`times-frac`
1052×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	120
1	54	120
2	111	120
3	252	120
4	401	120
5	432	120
6	442	120
7	453	120
8	463	120
9	489	120
10	604	120
11	827	120
12	2346	120
13	3219	120
14	6964	120
0	8061	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ 1 (/ 1 (atan2 im re))) (log base))
(/ 1 (/ 1 (atan2 im re)))
1
(/ 1 (atan2 im re))
(atan2 im re)
im
re
(log base)
base
(* (atan2 im re) (/ 1 (log base)))
(atan2 im re)
im
re
(/ 1 (log base))
1
(log base)
base
(/ (atan2 im re) (exp (* (log (log base)) 1)))
(atan2 im re)
im
re
(exp (* (log (log base)) 1))
(* (log (log base)) 1)
(log (log base))
(log base)
base
1
(* (pow (log base) -2) (* (atan2 im re) (log base)))
(pow (log base) -2)
(log base)
base
-2
(* (atan2 im re) (log base))
(atan2 im re)
im
re
(* (pow (log base) -4) (* (atan2 im re) (pow (log base) 3)))
(pow (log base) -4)
(log base)
base
-4
(* (atan2 im re) (pow (log base) 3))
(atan2 im re)
im
re
(pow (log base) 3)
3

Outputs
(/ (/ 1 (/ 1 (atan2 im re))) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (/ 1 (atan2 im re)))
(atan2.f64 im re)
1
#s(literal 1 binary64)
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
(* (atan2 im re) (/ 1 (log base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
im
re
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(log base)
(log.f64 base)
base
(/ (atan2 im re) (exp (* (log (log base)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
im
re
(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)
(* (pow (log base) -2) (* (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (log base) -2)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log base)
(log.f64 base)
base
-2
#s(literal -2 binary64)
(* (atan2 im re) (log base))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
im
re
(* (pow (log base) -4) (* (atan2 im re) (pow (log base) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (log base) -4)
(pow.f64 (log.f64 base) #s(literal -4 binary64))
(log base)
(log.f64 base)
base
-4
#s(literal -4 binary64)
(* (atan2 im re) (pow (log base) 3))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(atan2 im re)
(atan2.f64 im re)
im
re
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize208.0ms (1.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓	accuracy	99.5%	(pow.f64 (log.f64 base) #s(literal 3 binary64))
✓	accuracy	99.3%	(pow.f64 (log.f64 base) #s(literal -4 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	accuracy	99.8%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(log.f64 (log.f64 base))
✓	accuracy	99.8%	(/.f64 (atan2.f64 im re) (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	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.8%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))

Results

80.0ms	119×	0	valid
72.0ms	137×	0	invalid

Compiler

Compiled 158 to 26 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-exp: 15.0ms (22.3% of total)

ival-pow: 15.0ms (22.3% of total)

ival-mult: 10.0ms (14.9% of total)

const: 10.0ms (14.9% of total)

ival-div: 8.0ms (11.9% of total)

ival-log: 6.0ms (8.9% of total)

ival-atan2: 3.0ms (4.5% of total)

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

series92.0ms (0.7%)

Counts

18 → 420

Calls

Call 1

Inputs
#<alt (/ (/ 1 (/ 1 (atan2 im re))) (log base))>
#<alt (/ 1 (/ 1 (atan2 im re)))>
#<alt (/ 1 (atan2 im re))>
#<alt (atan2 im re)>
#<alt (* (atan2 im re) (/ 1 (log base)))>
#<alt (/ 1 (log base))>
#<alt (log base)>
#<alt (/ (atan2 im re) (exp (* (log (log base)) 1)))>
#<alt (exp (* (log (log base)) 1))>
#<alt (* (log (log base)) 1)>
#<alt (* (pow (log base) -2) (* (atan2 im re) (log base)))>
#<alt (pow (log base) -2)>
#<alt (* (atan2 im re) (log base))>
#<alt (* (pow (log base) -4) (* (atan2 im re) (pow (log base) 3)))>
#<alt (pow (log base) -4)>
#<alt (* (atan2 im re) (pow (log base) 3))>
#<alt (log (log base))>
#<alt (pow (log base) 3)>

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 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 (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (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 (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)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ 1 (pow (log base) 4))>
#<alt (/ 1 (pow (log base) 4))>
#<alt (/ 1 (pow (log base) 4))>
#<alt (/ 1 (pow (log base) 4))>
#<alt (/ 1 (pow (log (/ 1 base)) 4))>
#<alt (/ 1 (pow (log (/ 1 base)) 4))>
#<alt (/ 1 (pow (log (/ 1 base)) 4))>
#<alt (/ 1 (pow (log (/ 1 base)) 4))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* (pow (log base) 3) (atan2 im re))>
#<alt (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))>
#<alt (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))>
#<alt (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))>
#<alt (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))>
#<alt (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))>
#<alt (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))>
#<alt (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))>
#<alt (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))>
#<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)))))>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>

Calls

105 calls:

Time	Variable		Point	Expression
34.0ms	base	@	0	(* (log (log base)) 1)
23.0ms	base	@	-inf	(* (log (log base)) 1)
18.0ms	base	@	inf	(* (log (log base)) 1)
1.0ms	base	@	-inf	(pow (log base) -4)
1.0ms	base	@	0	(pow (log base) -4)

rewrite250.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2054×	`-lowering-.f32`
2054×	`-lowering-.f64`
1352×	`/-lowering-/.f32`
1352×	`/-lowering-/.f64`
1210×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	79
1	102	79
2	415	79
3	2723	79
0	8947	79

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1444

Calls

Call 1

Inputs
(/ (/ 1 (/ 1 (atan2 im re))) (log base))
(/ 1 (/ 1 (atan2 im re)))
(/ 1 (atan2 im re))
(atan2 im re)
(* (atan2 im re) (/ 1 (log base)))
(/ 1 (log base))
(log base)
(/ (atan2 im re) (exp (* (log (log base)) 1)))
(exp (* (log (log base)) 1))
(* (log (log base)) 1)
(* (pow (log base) -2) (* (atan2 im re) (log base)))
(pow (log base) -2)
(* (atan2 im re) (log base))
(* (pow (log base) -4) (* (atan2 im re) (pow (log base) 3)))
(pow (log base) -4)
(* (atan2 im re) (pow (log base) 3))
(log (log base))
(pow (log base) 3)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (-.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (+.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(exp.f64 (-.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 (atan2.f64 im re))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal -1 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (log.f64 base) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
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(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3/4 binary64))) (pow.f64 (log.f64 base) #s(literal 3/4 binary64)))
(log.f64 (log.f64 base))
(+.f64 (log.f64 (log.f64 base)) #s(literal 0 binary64))
(+.f64 (log.f64 (log.f64 base)) (log.f64 #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base)))
(+.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (log.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (log.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))) (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(-.f64 (log.f64 (log.f64 base)) #s(literal 0 binary64))
(-.f64 (log.f64 (log.f64 base)) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (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 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 base))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 (log.f64 base)))
(fma.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))) (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64))) (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))) (+.f64 #s(literal 0 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))) (+.f64 (.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (log.f64 base)) (log.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 #s(literal 2 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64)) (.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(exp.f64 (neg.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64)))))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 base)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (E.f64) (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (E.f64) (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (E.f64) (+.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64)) (.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64))))
(pow.f64 (E.f64) (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(pow.f64 (E.f64) (+.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 (log.f64 base))))
(pow.f64 (E.f64) (-.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (E.f64) #s(literal 3 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (log.f64 (log.f64 base)))
(pow.f64 (.f64 (.f64 (E.f64) (E.f64)) (E.f64)) (log.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 9/4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9/4 binary64)) (pow.f64 (log.f64 base) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/4 binary64)))

simplify215.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2116×	`-lowering-.f32`
2116×	`-lowering-.f64`
1576×	`+-lowering-+.f64`
1576×	`+-lowering-+.f32`
1456×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	2512
1	98	2440
2	190	2440
3	589	2440
4	1714	2440
5	6911	2440
0	8561	2440

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
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(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
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(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
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(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (pow (log base) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/ 1 (pow (log base) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/ 1 (pow (log base) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/ 1 (pow (log base) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/ 1 (pow (log (/ 1 base)) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64)))
(/ 1 (pow (log (/ 1 base)) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64)))
(/ 1 (pow (log (/ 1 base)) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64)))
(/ 1 (pow (log (/ 1 base)) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (log base) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64)))
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64)))
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64)))
(* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 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))))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))

eval593.0ms (4.6%)

Compiler: Compiled 42146 to 3989 computations (90.5% saved)

prune285.0ms (2.2%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	2739	13	2752
Fresh	7	6	13
Picked	1	4	5
Done	0	1	1
Total	2747	24	2771

Accuracy

100.0%

Counts

2771 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	47.6%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (log.f64 base))
	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
	46.0%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
	45.6%	(/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	45.7%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
▶	99.3%	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
▶	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.6%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	52.6%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶	46.0%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	51.0%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 605 to 427 computations (29.4% saved)

simplify332.0ms (2.6%)

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	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	cost-diff	13120	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	cost-diff	0	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))
✓	cost-diff	12928	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
✓	cost-diff	0	(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))

Rules

9382×	`-lowering-.f32`
9382×	`-lowering-.f64`
2374×	`unswap-sqr`
1722×	`cube-prod`
1558×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	135
1	41	133
2	70	129
3	121	129
4	321	129
5	1835	129
6	2103	129
7	2428	129
8	3078	129
9	4174	129
10	5039	129
11	5371	129
12	5658	129
13	5791	129
14	5922	129
0	8381	129

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (log base) (atan2 im re)))
1
(/ (log base) (atan2 im re))
(log base)
base
(atan2 im re)
im
re
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))
(/ 1 (log base))
1
(log base)
base
(/ 1 (atan2 im re))
(atan2 im re)
im
re
(* (atan2 im re) (pow (pow (log base) 1/2) -2))
(atan2 im re)
im
re
(pow (pow (log base) 1/2) -2)
(pow (log base) 1/2)
(log base)
base
1/2
-2
(pow (pow (/ (log base) (atan2 im re)) -1/2) 2)
(pow (/ (log base) (atan2 im re)) -1/2)
(/ (log base) (atan2 im re))
(log base)
base
(atan2 im re)
im
re
-1/2
2
(/ (/ (atan2 im re) (pow (log base) 2)) (/ 1 (log base)))
(/ (atan2 im re) (pow (log base) 2))
(atan2 im re)
im
re
(pow (log base) 2)
(log base)
base
2
(/ 1 (log base))
1

Outputs
(/ 1 (/ (log base) (atan2 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
1
#s(literal 1 binary64)
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log base)
(log.f64 base)
base
(atan2 im re)
(atan2.f64 im re)
im
re
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))
(/.f64 (atan2.f64 im re) (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
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)
im
re
(* (atan2 im re) (pow (pow (log base) 1/2) -2))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(atan2 im re)
(atan2.f64 im re)
im
re
(pow (pow (log base) 1/2) -2)
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow (log base) 1/2)
(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
(log base)
(log.f64 base)
base
1/2
#s(literal 1/2 binary64)
-2
#s(literal -2 binary64)
(pow (pow (/ (log base) (atan2 im re)) -1/2) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (/ (log base) (atan2 im re)) -1/2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log base)
(log.f64 base)
base
(atan2 im re)
(atan2.f64 im re)
im
re
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(/ (/ (atan2 im re) (pow (log base) 2)) (/ 1 (log base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(atan2 im re)
(atan2.f64 im re)
im
re
(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 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)

localize210.0ms (1.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.9%	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	99.8%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	accuracy	99.8%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	99.5%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
✓	accuracy	99.8%	(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	accuracy	99.9%	(/.f64 (log.f64 base) (atan2.f64 im re))

Results

115.0ms	209×	0	invalid
37.0ms	47×	0	valid

Compiler

Compiled 158 to 24 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-pow: 23.0ms (48.2% of total)

ival-div: 16.0ms (33.6% of total)

ival-log: 4.0ms (8.4% of total)

ival-atan2: 2.0ms (4.2% of total)

ival-mult: 2.0ms (4.2% of total)

const: 1.0ms (2.1% of total)

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

series19.0ms (0.1%)

Counts

15 → 396

Calls

Call 1

Inputs
#<alt (/ 1 (/ (log base) (atan2 im re)))>
#<alt (/ (log base) (atan2 im re))>
#<alt (log base)>
#<alt (atan2 im re)>
#<alt (/ (/ 1 (log base)) (/ 1 (atan2 im re)))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (atan2 im re))>
#<alt (* (atan2 im re) (pow (pow (log base) 1/2) -2))>
#<alt (pow (pow (log base) 1/2) -2)>
#<alt (pow (log base) 1/2)>
#<alt (pow (pow (/ (log base) (atan2 im re)) -1/2) 2)>
#<alt (pow (/ (log base) (atan2 im re)) -1/2)>
#<alt (/ (/ (atan2 im re) (pow (log base) 2)) (/ 1 (log base)))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (pow (log base) 2)>

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<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 (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (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 (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 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 (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))>
#<alt (sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (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)>

Calls

99 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	(/ (atan2 im re) (pow (log base) 2))
1.0ms	im	@	0	(/ (atan2 im re) (pow (log base) 2))
1.0ms	base	@	-inf	(/ (atan2 im re) (pow (log base) 2))
0.0ms	base	@	-inf	(pow (/ (log base) (atan2 im re)) -1/2)
0.0ms	base	@	inf	(pow (/ (log base) (atan2 im re)) -1/2)

rewrite428.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2772×	`-lowering-.f32`
2772×	`-lowering-.f64`
2012×	`+-lowering-+.f64`
2012×	`+-lowering-+.f32`
1712×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	79
1	116	72
2	556	72
3	4109	72
0	8676	72

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1363

Calls

Call 1

Inputs
(/ 1 (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(log base)
(atan2 im re)
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))
(/ 1 (log base))
(/ 1 (atan2 im re))
(* (atan2 im re) (pow (pow (log base) 1/2) -2))
(pow (pow (log base) 1/2) -2)
(pow (log base) 1/2)
(pow (pow (/ (log base) (atan2 im re)) -1/2) 2)
(pow (/ (log base) (atan2 im re)) -1/2)
(/ (/ (atan2 im re) (pow (log base) 2)) (/ 1 (log base)))
(/ (atan2 im re) (pow (log base) 2))
(pow (log base) 2)

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

simplify547.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2164×	`sum4-define`
1724×	`sum5-define`
1266×	`fma-define`
1220×	`fnmadd-define`
1184×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	2528
1	67	2428
2	108	2428
3	249	2428
4	747	2428
5	2089	2428
6	4149	2428
7	7894	2428
0	8277	2428

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(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))))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log 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 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (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)))))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(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)

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(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)))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 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))

eval329.0ms (2.5%)

Compiler: Compiled 37696 to 3023 computations (92% saved)

prune232.0ms (1.8%)

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	2530	9	2539
Fresh	7	7	14
Picked	2	3	5
Done	1	4	5
Total	2540	23	2563

Accuracy

100.0%

Counts

2563 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
	51.9%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
▶	47.6%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (log.f64 base))
	45.6%	(/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	45.7%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
✓	99.3%	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
▶	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))))
▶	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.6%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	45.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -4 binary64)))
▶	46.0%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	51.0%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 540 to 380 computations (29.6% saved)

simplify315.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	13120	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	cost-diff	13248	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
✓	cost-diff	0	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (log.f64 base))
✓	cost-diff	0	(sqrt.f64 (log.f64 base))
✓	cost-diff	0	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(*.f64 (log.f64 base) (atan2.f64 im re))
✓	cost-diff	12992	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

Rules

6580×	`-lowering-.f32`
6580×	`-lowering-.f64`
3270×	`cube-prod`
2402×	`pow-lowering-pow.f64`
2402×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	162
1	46	154
2	80	142
3	237	142
4	724	142
5	2247	142
6	2514	142
7	2776	142
8	3156	142
9	3686	142
10	4388	142
11	4702	142
12	4883	142
13	5013	142
14	5176	142
15	5304	142
16	6081	142
17	7332	142
18	7900	142
0	8006	142

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (log base) (atan2 im re)) (pow (log base) 2))
(* (log base) (atan2 im re))
(log base)
base
(atan2 im re)
im
re
(pow (log base) 2)
2
(/ 1 (* (/ 1 (atan2 im re)) (log base)))
1
(* (/ 1 (atan2 im re)) (log base))
(/ 1 (atan2 im re))
(atan2 im re)
im
re
(log base)
base
(* (atan2 im re) (pow (sqrt (log base)) -2))
(atan2 im re)
im
re
(pow (sqrt (log base)) -2)
(sqrt (log base))
(log base)
base
-2
(/ (pow (pow (atan2 im re) -1/2) -2) (log base))
(pow (pow (atan2 im re) -1/2) -2)
(pow (atan2 im re) -1/2)
(atan2 im re)
im
re
-1/2
-2
(log base)
base
(/ 1 (/ (/ 1 (log base)) (/ (atan2 im re) (pow (log base) 2))))
1
(/ (/ 1 (log base)) (/ (atan2 im re) (pow (log base) 2)))
(/ 1 (log base))
(log base)
base
(/ (atan2 im re) (pow (log base) 2))
(atan2 im re)
im
re
(pow (log base) 2)
2

Outputs
(/ (* (log base) (atan2 im re)) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log base)
(log.f64 base)
base
(atan2 im re)
(atan2.f64 im re)
im
re
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (* (/ 1 (atan2 im re)) (log base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
1
#s(literal 1 binary64)
(* (/ 1 (atan2 im re)) (log base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
(* (atan2 im re) (pow (sqrt (log base)) -2))
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(atan2 im re)
(atan2.f64 im re)
im
re
(pow (sqrt (log base)) -2)
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(log base)
(log.f64 base)
base
-2
#s(literal -2 binary64)
(/ (pow (pow (atan2 im re) -1/2) -2) (log base))
(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (log.f64 base))
(pow (pow (atan2 im re) -1/2) -2)
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow (atan2 im re) -1/2)
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
-1/2
#s(literal -1/2 binary64)
-2
#s(literal -2 binary64)
(log base)
(log.f64 base)
base
(/ 1 (/ (/ 1 (log base)) (/ (atan2 im re) (pow (log base) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
1
#s(literal 1 binary64)
(/ (/ 1 (log base)) (/ (atan2 im re) (pow (log base) 2)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
base
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(atan2 im re)
(atan2.f64 im re)
im
re
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize212.0ms (1.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.8%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (log.f64 base))
✓	accuracy	99.8%	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64))
✓	accuracy	99.6%	(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(sqrt.f64 (log.f64 base))
✓	accuracy	99.9%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
✓	accuracy	99.8%	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(*.f64 (log.f64 base) (atan2.f64 im re))
✓	accuracy	99.9%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	99.8%	(pow.f64 (log.f64 base) #s(literal 2 binary64))

Results

121.0ms	209×	0	invalid
22.0ms	47×	0	valid

Compiler

Compiled 178 to 26 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-pow: 22.0ms (44% of total)

ival-div: 13.0ms (26% of total)

ival-mult: 5.0ms (10% of total)

ival-log: 4.0ms (8% of total)

ival-atan2: 2.0ms (4% of total)

ival-sqrt: 2.0ms (4% of total)

const: 1.0ms (2% of total)

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

series11.0ms (0.1%)

Counts

18 → 480

Calls

Call 1

Inputs
#<alt (/ (* (log base) (atan2 im re)) (pow (log base) 2))>
#<alt (* (log base) (atan2 im re))>
#<alt (log base)>
#<alt (atan2 im re)>
#<alt (/ 1 (* (/ 1 (atan2 im re)) (log base)))>
#<alt (* (/ 1 (atan2 im re)) (log base))>
#<alt (/ 1 (atan2 im re))>
#<alt (* (atan2 im re) (pow (sqrt (log base)) -2))>
#<alt (pow (sqrt (log base)) -2)>
#<alt (sqrt (log base))>
#<alt (/ (pow (pow (atan2 im re) -1/2) -2) (log base))>
#<alt (pow (pow (atan2 im re) -1/2) -2)>
#<alt (pow (atan2 im re) -1/2)>
#<alt (/ 1 (/ (/ 1 (log base)) (/ (atan2 im re) (pow (log base) 2))))>
#<alt (/ (/ 1 (log base)) (/ (atan2 im re) (pow (log base) 2)))>
#<alt (/ 1 (log base))>
#<alt (pow (log base) 2)>
#<alt (/ (atan2 im re) (pow (log base) 2))>

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<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 (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 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 (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (sqrt (/ 1 (atan2 im re)))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<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 (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 (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>

Calls

120 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(pow (atan2 im re) -1/2)
1.0ms	im	@	0	(pow (atan2 im re) -1/2)
1.0ms	re	@	-inf	(pow (atan2 im re) -1/2)
1.0ms	im	@	-inf	(pow (atan2 im re) -1/2)
1.0ms	im	@	inf	(pow (atan2 im re) -1/2)

rewrite308.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2562×	`-lowering-.f32`
2562×	`-lowering-.f64`
1932×	`+-lowering-+.f64`
1932×	`+-lowering-+.f32`
1494×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	113
1	125	104
2	593	84
3	4344	83
0	8466	83

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1599

Calls

Call 1

Inputs
(/ (* (log base) (atan2 im re)) (pow (log base) 2))
(* (log base) (atan2 im re))
(log base)
(atan2 im re)
(/ 1 (* (/ 1 (atan2 im re)) (log base)))
(* (/ 1 (atan2 im re)) (log base))
(/ 1 (atan2 im re))
(* (atan2 im re) (pow (sqrt (log base)) -2))
(pow (sqrt (log base)) -2)
(sqrt (log base))
(/ (pow (pow (atan2 im re) -1/2) -2) (log base))
(pow (pow (atan2 im re) -1/2) -2)
(pow (atan2 im re) -1/2)
(/ 1 (/ (/ 1 (log base)) (/ (atan2 im re) (pow (log base) 2))))
(/ (/ 1 (log base)) (/ (atan2 im re) (pow (log base) 2)))
(/ 1 (log base))
(pow (log base) 2)
(/ (atan2 im re) (pow (log base) 2))

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

simplify212.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1824×	`fma-lowering-fma.f32`
1824×	`fma-lowering-fma.f64`
1788×	`sum5-define`
1498×	`fnmadd-define`
1474×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	2908
1	73	2804
2	127	2804
3	296	2804
4	835	2804
5	2335	2804
6	4644	2804
0	8101	2804

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
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(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
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Outputs
(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(* -1 (/ (atan2 im re) (log (/ 1 base))))
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(* -1 (/ (atan2 im re) (log (/ 1 base))))
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(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
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(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
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(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
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(/ (atan2 im re) (log base))
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(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))

eval319.0ms (2.5%)

Compiler: Compiled 42211 to 3514 computations (91.7% saved)

prune327.0ms (2.5%)

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	2789	3	2792
Fresh	3	8	11
Picked	1	4	5
Done	0	7	7
Total	2793	22	2815

Accuracy

100.0%

Counts

2815 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
	51.9%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	47.5%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64)) #s(literal -4 binary64)) (log.f64 base))
✓	47.6%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (log.f64 base))
	45.6%	(/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	45.7%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
✓	99.3%	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	47.7%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	45.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -4 binary64)))
✓	46.0%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	51.0%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 830 to 342 computations (58.8% saved)

regimes67.0ms (0.5%)

Accuracy

Total -59.1b remaining (-19135.5%)

Threshold costs -59.1b (-19135.5%)

Counts

45 → 1

Calls

Call 1

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

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

Calls

5 calls:

13.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
13.0ms	(log.f64 base)
13.0ms	re
13.0ms	base
12.0ms	im

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

soundness330.0ms (2.5%)

Rules

2532×	`-lowering-.f32`
2532×	`-lowering-.f64`
1996×	`fmsub-define`
1972×	`fmm-def`
1964×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	11
1	45	10
2	75	8
3	105	6
4	135	6
5	215	6
6	603	6
7	1808	6
8	3054	6
9	4452	6
10	5502	6
11	7293	6
0	8172	6

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess3.1s (23.7%)

Compiler: Compiled 80 to 48 computations (40% saved)

analyze298.0ms (2.3%)

sample1.7s (13.4%)

preprocess203.0ms (1.6%)

explain251.0ms (1.9%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify135.0ms (1%)

localize129.0ms (1%)

series91.0ms (0.7%)

rewrite416.0ms (3.2%)

simplify295.0ms (2.3%)

eval178.0ms (1.4%)

prune159.0ms (1.2%)

simplify137.0ms (1.1%)

localize208.0ms (1.6%)

series92.0ms (0.7%)

rewrite250.0ms (1.9%)

simplify215.0ms (1.7%)

eval593.0ms (4.6%)

prune285.0ms (2.2%)

simplify332.0ms (2.6%)

localize210.0ms (1.6%)

series19.0ms (0.1%)

rewrite428.0ms (3.3%)

simplify547.0ms (4.2%)

eval329.0ms (2.5%)

prune232.0ms (1.8%)

simplify315.0ms (2.4%)

localize212.0ms (1.6%)

series11.0ms (0.1%)

rewrite308.0ms (2.4%)

simplify212.0ms (1.6%)

eval319.0ms (2.5%)

prune327.0ms (2.5%)

regimes67.0ms (0.5%)

simplify7.0ms (0.1%)

soundness330.0ms (2.5%)

preprocess3.1s (23.7%)

end0.0ms (0%)

Profiling