Details

Time bar (total: 6.9s)

analyze227.0ms (3.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%49.9%25.1%7
25%49.9%25.1%8
25%49.9%25.1%9
37.4%25%37.6%10
37.4%25%37.6%11
37.4%25%37.6%12
Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.2s (31.7%)

Results
1.8s8256×body256valid
416.0ms2078×body256invalid

preprocess68.0ms (1%)

Algorithm
2×egg-herbie
Rules
801×cube-prod_binary64
752×fma-neg_binary64
678×unswap-sqr_binary64
403×fma-def_binary64
349×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05080
113776
222748
332936
440736
599336
6244936
7351736
8412236
9422936
10443136
11494636
12682736
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 re im) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 re im) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 re im) (log.f64 base)))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im base) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (atan2.f64 im base) (log.f64 re)) (/.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (atan2.f64 im base) (log.f64 re)) 1)
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 base re) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (*.f64 (log.f64 im) (log.f64 im)) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (log.f64 im) 1))
(/.f64 (atan2.f64 base re) (log.f64 im))
Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify67.0ms (1%)

Algorithm
1×egg-herbie
Rules
877×fma-def_binary64
692×fma-neg_binary64
645×cube-prod_binary64
522×pow-sqr_binary64
447×sqr-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01920
14119
26812
3949
41159
52739
610059
723209
833699
951319
1057329
1168219
1278799
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))

eval1.0ms (0%)

Compiler

Compiled 37 to 21 computations (43.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.0b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
▶0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 40 to 26 computations (35% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
✓0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 17 to 6 computations (64.7% saved)

series155.0ms (2.2%)

Counts
1 → 8
Calls

9 calls:

TimeVariablePointExpression
71.0ms
base
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
55.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
13.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (log.f64 base))
7.0ms
base
@inf
(/.f64 (atan2.f64 im re) (log.f64 base))
6.0ms
re
@0
(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite49.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
702×pow1_binary64
643×add-log-exp_binary64
643×log1p-expm1-u_binary64
643×expm1-log1p-u_binary64
628×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11399
217349
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify65.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
762×div-sub_binary64
628×fma-neg_binary64
576×associate--r-_binary64
493×fma-def_binary64
419×associate--l-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017104
131104
24496
39072
418872
558572
6233372
7483172
8611572
9637672
10651672
11662472
Stop Event
1×node limit
Counts
39 → 34
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize48.0ms (0.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
27.7b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
0.5b
(*.f64 (log.f64 base) (log.f64 base))
0.4b
(*.f64 (atan2.f64 im re) (log.f64 base))
0.3b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
✓0.3b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
✓0.4b
(*.f64 (atan2.f64 im re) (log.f64 base))
✓0.5b
(*.f64 (log.f64 base) (log.f64 base))
✓27.7b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Compiler

Compiled 122 to 33 computations (73% saved)

series15.0ms (0.2%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
3.0ms
base
@0
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
1.0ms
re
@0
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
1.0ms
re
@inf
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
1.0ms
im
@inf
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
1.0ms
base
@-inf
(*.f64 (log.f64 base) (log.f64 base))

rewrite90.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
598×prod-diff_binary64
354×fma-def_binary64
299×fma-neg_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01937
141428
2499328
Stop Event
1×node limit
Counts
4 → 216
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(*.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)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Outputs
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simplify76.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
754×associate-*l/_binary64
617×associate-*r/_binary64
439×cancel-sign-sub-inv_binary64
374×*-commutative_binary64
334×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0861185
12421174
26571174
325951174
469741174
Stop Event
1×node limit
Counts
324 → 254
Calls
Call 1
Inputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(+.f64 (*.f64 -1 re) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(*.f64 -1 im)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (/.f64 re (/.f64 im re)) im)
(fma.f64 1/2 (*.f64 (/.f64 re im) re) im)
(fma.f64 1/2 (*.f64 re (/.f64 re im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) im))
(fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(fma.f64 1/2 (/.f64 (*.f64 im im) re) re)
(fma.f64 1/2 (*.f64 (/.f64 im re) im) re)
(fma.f64 1/2 (*.f64 im (/.f64 im re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 im im) re) re) (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/2 (*.f64 (/.f64 im re) im) re))
(fma.f64 1/2 (*.f64 im (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (+.f64 re (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re)))
(fma.f64 1/2 (*.f64 im (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re)))
(fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 1/2 (*.f64 im (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
(*.f64 -1 re)
(neg.f64 re)
(+.f64 (*.f64 -1 re) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(fma.f64 -1 re (*.f64 (/.f64 (*.f64 im im) re) -1/2))
(-.f64 (*.f64 (/.f64 (*.f64 im im) re) -1/2) re)
(fma.f64 (*.f64 (/.f64 im re) im) -1/2 (neg.f64 re))
(fma.f64 (*.f64 im (/.f64 im re)) -1/2 (neg.f64 re))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(fma.f64 -1 re (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (*.f64 (/.f64 (*.f64 im im) re) -1/2)))
(-.f64 (fma.f64 (/.f64 (*.f64 im im) re) -1/2 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8)) re)
(fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (fma.f64 (*.f64 (/.f64 im re) im) -1/2 (neg.f64 re)))
(-.f64 (*.f64 (*.f64 im (/.f64 im re)) -1/2) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
(fma.f64 -1 re (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (*.f64 (/.f64 (*.f64 im im) re) -1/2))))
(-.f64 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (fma.f64 (/.f64 (*.f64 im im) re) -1/2 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16))) re)
(-.f64 (fma.f64 (*.f64 (/.f64 im re) im) -1/2 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16))) re)
(-.f64 (fma.f64 (*.f64 im (/.f64 im re)) -1/2 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (/.f64 (*.f64 (pow.f64 im 6) -1/16) (pow.f64 re 5)))) re)
(-.f64 (/.f64 (*.f64 (pow.f64 im 6) -1/16) (pow.f64 re 5)) (fma.f64 1/2 (*.f64 im (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(fma.f64 1/2 (/.f64 (*.f64 im im) re) re)
(fma.f64 1/2 (*.f64 (/.f64 im re) im) re)
(fma.f64 1/2 (*.f64 im (/.f64 im re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 im im) re) re) (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/2 (*.f64 (/.f64 im re) im) re))
(fma.f64 1/2 (*.f64 im (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (+.f64 re (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re)))
(fma.f64 1/2 (*.f64 im (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re)))
(fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 1/2 (*.f64 im (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (/.f64 re (/.f64 im re)) im)
(fma.f64 1/2 (*.f64 (/.f64 re im) re) im)
(fma.f64 1/2 (*.f64 re (/.f64 re im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) im))
(fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(*.f64 -1 im)
(neg.f64 im)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))
(fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))
(-.f64 (*.f64 (/.f64 re (/.f64 im re)) -1/2) im)
(-.f64 (*.f64 (/.f64 -1/2 im) (*.f64 re re)) im)
(-.f64 (*.f64 (/.f64 -1/2 (/.f64 im re)) re) im)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im)))
(-.f64 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (*.f64 (/.f64 re (/.f64 im re)) -1/2)) im)
(-.f64 (fma.f64 (*.f64 (/.f64 re im) re) -1/2 (*.f64 (/.f64 1/8 (pow.f64 im 3)) (pow.f64 re 4))) im)
(-.f64 (*.f64 (/.f64 -1/2 (/.f64 im re)) re) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))))
(fma.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) (fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))))
(fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (-.f64 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (*.f64 (/.f64 re (/.f64 im re)) -1/2)) im))
(-.f64 (fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (fma.f64 (*.f64 (/.f64 re im) re) -1/2 (*.f64 (/.f64 1/8 (pow.f64 im 3)) (pow.f64 re 4)))) im)
(-.f64 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (/.f64 (pow.f64 re 6) (/.f64 (pow.f64 im 5) -1/16))) (fma.f64 1/2 (*.f64 re (/.f64 re im)) im))
(-.f64 (/.f64 (pow.f64 re 6) (/.f64 (pow.f64 im 5) -1/16)) (fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im)))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval100.0ms (1.4%)

Compiler

Compiled 7965 to 3056 computations (61.6% saved)

prune75.0ms (1.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New26721288
Fresh000
Picked101
Done011
Total26822290
Error
0.0b
Counts
290 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.4b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
▶0.5b
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
1.7b
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
29.8b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶0.5b
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
▶0.6b
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))
30.1b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (cbrt.f64 (pow.f64 (log.f64 base) 6)) (*.f64 0 0)))
✓0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
0.4b
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
0.5b
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
1.1b
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
6.6b
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
0.4b
(neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) 2))))
0.5b
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
▶0.4b
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
0.4b
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
26.1b
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
0.7b
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 base) 4))
1.2b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
33.0b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
6.6b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
26.8b
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 681 to 460 computations (32.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (log.f64 base))
0.3b
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
✓0.3b
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
✓0.3b
(/.f64 1 (log.f64 base))
Compiler

Compiled 24 to 11 computations (54.2% saved)

series6.0ms (0.1%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
2.0ms
base
@-inf
(/.f64 1 (log.f64 base))
1.0ms
base
@0
(/.f64 1 (log.f64 base))
1.0ms
base
@inf
(/.f64 1 (log.f64 base))
0.0ms
base
@0
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
0.0ms
base
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))

rewrite47.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
776×pow1_binary64
709×add-log-exp_binary64
709×log1p-expm1-u_binary64
709×expm1-log1p-u_binary64
693×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
117315
2199315
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify91.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
817×div-sub_binary64
628×fma-neg_binary64
576×associate--r-_binary64
494×fma-def_binary64
419×associate--l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021388
134388
247372
392372
4189372
5582372
62314372
74881372
86162372
96422372
106560372
116668372
Stop Event
1×node limit
Counts
88 → 49
Calls
Call 1
Inputs
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
0.3b
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
✓0.3b
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
✓0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
Compiler

Compiled 26 to 9 computations (65.4% saved)

series11.0ms (0.2%)

Counts
2 → 44
Calls

18 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
1.0ms
base
@0
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
1.0ms
im
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
1.0ms
re
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
1.0ms
base
@inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)

rewrite54.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
858×pow1_binary64
791×add-log-exp_binary64
791×log1p-expm1-u_binary64
791×expm1-log1p-u_binary64
772×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
118118
2218818
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (atan2.f64 im re))) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify81.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
826×div-sub_binary64
695×fma-def_binary64
613×fma-neg_binary64
609×associate--r-_binary64
430×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022428
139428
260396
3123396
4281396
5871396
62762396
75700396
87024396
97306396
107490396
117596396
Stop Event
1×node limit
Counts
115 → 76
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize15.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
4.7b
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.7b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
✓0.7b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓4.7b
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
Compiler

Compiled 34 to 10 computations (70.6% saved)

series24.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
re
@-inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms
im
@0
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms
base
@inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms
base
@-inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms
im
@-inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite52.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
877×pow1_binary64
816×add-log-exp_binary64
816×log1p-expm1-u_binary64
816×expm1-log1p-u_binary64
796×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
120820
2225720
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (/.f64 1 (log.f64 base)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (cbrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (atan2.f64 im re))) (neg.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify114.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
755×div-sub_binary64
656×fma-neg_binary64
520×fma-def_binary64
418×unswap-sqr_binary64
330×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031748
172748
2124748
3241748
4547748
51394748
63227748
76474748
87900748
Stop Event
1×node limit
Counts
144 → 79
Calls
Call 1
Inputs
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
Outputs
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize19.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (log.f64 base) 2)
0.4b
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
0.4b
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
✓0.4b
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
✓0.4b
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
✓0.5b
(pow.f64 (log.f64 base) 2)
Compiler

Compiled 42 to 20 computations (52.4% saved)

series9.0ms (0.1%)

Counts
3 → 52
Calls

21 calls:

TimeVariablePointExpression
1.0ms
im
@0
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
1.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
1.0ms
im
@-inf
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
1.0ms
im
@inf
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
1.0ms
re
@inf
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))

rewrite71.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
508×log-prod_binary64
385×exp-prod_binary64
346×prod-exp_binary64
309×pow-prod-down_binary64
269×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01235
125035
2271927
Stop Event
1×node limit
Counts
3 → 156
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) 2)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 3/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 5) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (*.f64 -1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (*.f64 (/.f64 1 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (log.f64 base)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) 1) (neg.f64 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))) (sqrt.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 2 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 -2 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (/.f64 1 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re))) (*.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) 1) (*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) (neg.f64 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify46.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
852×fma-neg_binary64
435×div-sub_binary64
320×fma-def_binary64
292×associate-*l*_binary64
286×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024500
144500
279500
3219468
4788468
54041468
Stop Event
1×node limit
Counts
208 → 164
Calls
Call 1
Inputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize37.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (log.f64 base) 2)
0.4b
(*.f64 (log.f64 base) (atan2.f64 im re))
0.4b
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))
0.3b
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4))
✓0.4b
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))
✓0.4b
(*.f64 (log.f64 base) (atan2.f64 im re))
0.5b
(pow.f64 (log.f64 base) 2)
✓0.9b
(pow.f64 (log.f64 base) 4)
Compiler

Compiled 54 to 21 computations (61.1% saved)

series7.0ms (0.1%)

Counts
3 → 52
Calls

21 calls:

TimeVariablePointExpression
1.0ms
base
@0
(pow.f64 (log.f64 base) 4)
1.0ms
base
@-inf
(pow.f64 (log.f64 base) 4)
1.0ms
base
@inf
(pow.f64 (log.f64 base) 4)
0.0ms
base
@inf
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))
0.0ms
base
@-inf
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))

rewrite127.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
639×log-prod_binary64
406×pow-prod-down_binary64
322×pow2_binary64
251×pow-unpow_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01340
126935
2322432
Stop Event
1×node limit
Counts
3 → 75
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) 4)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 3) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (pow.f64 (cbrt.f64 (log.f64 base)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 8) (pow.f64 (cbrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 base) 4) 5/6) (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 4) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 3) (/.f64 (pow.f64 (log.f64 base) 4) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3))) (neg.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3)) 1) (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3)) (pow.f64 (cbrt.f64 (log.f64 base)) 8)) (pow.f64 (cbrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)) (neg.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (sqrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log.f64 base) 4) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (sqrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))))))

simplify42.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
616×times-frac_binary64
403×unswap-sqr_binary64
384×associate-*l*_binary64
355×distribute-rgt-neg-out_binary64
348×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025492
150492
291460
3213444
4738444
53703444
Stop Event
1×node limit
Counts
127 → 84
Calls
Call 1
Inputs
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval185.0ms (2.7%)

Compiler

Compiled 7898 to 3318 computations (58% saved)

prune142.0ms (2.1%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New51014524
Fresh11516
Picked101
Done145
Total52323546
Error
0b
Counts
546 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
0.6b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.5b
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
✓1.4b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓0.5b
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
▶0.4b
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
33.0b
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (atan2.f64 im re))
1.7b
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
0.6b
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
▶13.0b
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
6.6b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
6.6b
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
0.5b
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 base) 4))
26.8b
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶0.5b
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
✓0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
▶0.5b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
29.8b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
0.7b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (atan2.f64 im re))
5.2b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (atan2.f64 im re))
1.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (atan2.f64 im re))
▶28.3b
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
✓0.4b
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
Compiler

Compiled 558 to 406 computations (27.2% saved)

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
0.2b
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
0.2b
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓0.2b
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓0.2b
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 32 to 8 computations (75% saved)

series6.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
im
@0
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
0.0ms
im
@0
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms
base
@-inf
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms
base
@inf
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms
im
@inf
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite58.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
783×pow1_binary64
718×expm1-log1p-u_binary64
717×add-log-exp_binary64
717×log1p-expm1-u_binary64
700×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
116120
2194220
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (+.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))))

simplify65.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
833×fma-neg_binary64
741×div-sub_binary64
288×exp-prod_binary64
264×distribute-rgt-in_binary64
239×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025720
147720
270720
3130720
4291720
5939720
64558720
77831720
Stop Event
1×node limit
Counts
131 → 64
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
0.3b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓0.3b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
Compiler

Compiled 26 to 9 computations (65.4% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
base
@0
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms
base
@-inf
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms
base
@inf
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms
re
@-inf
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms
im
@-inf
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite61.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
859×pow1_binary64
788×add-log-exp_binary64
788×log1p-expm1-u_binary64
788×expm1-log1p-u_binary64
769×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0912
11809
222169
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify106.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
803×div-sub_binary64
628×fma-neg_binary64
582×associate--r-_binary64
489×fma-def_binary64
419×associate--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019324
132324
245324
390324
4188324
5586324
62309324
74816324
86136324
96396324
106539324
116647324
Stop Event
1×node limit
Counts
72 → 39
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize15.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
5.3b
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
0.4b
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
✓0.4b
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
✓5.3b
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
Compiler

Compiled 35 to 12 computations (65.7% saved)

series14.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
im
@0
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
1.0ms
im
@inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
1.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
1.0ms
re
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
1.0ms
base
@inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)

rewrite58.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
946×pow1_binary64
875×add-log-exp_binary64
874×log1p-expm1-u_binary64
874×expm1-log1p-u_binary64
853×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01024
120521
2243721
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -4)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (/.f64 1 (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))))))

simplify44.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
711×associate-/l/_binary64
543×associate-/r/_binary64
508×associate-*l/_binary64
442×fma-def_binary64
419×associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027864
153864
2102864
3353864
42141864
Stop Event
1×node limit
Counts
133 → 66
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))

localize30.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
4.1b
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
0.2b
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
0.2b
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
0.1b
(/.f64 1 (atan2.f64 im re))
✓0.1b
(/.f64 1 (atan2.f64 im re))
✓0.2b
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
✓0.2b
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
✓4.1b
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
Compiler

Compiled 41 to 21 computations (48.8% saved)

series249.0ms (3.6%)

Counts
4 → 108
Calls

33 calls:

TimeVariablePointExpression
81.0ms
re
@inf
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
27.0ms
re
@inf
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
20.0ms
base
@inf
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
19.0ms
im
@-inf
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
17.0ms
im
@inf
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))

rewrite65.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
939×pow1_binary64
863×add-log-exp_binary64
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
841×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
121835
2244235
Stop Event
1×node limit
Counts
4 → 84
Calls
Call 1
Inputs
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
(/.f64 1 (atan2.f64 im re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) 2) (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 1 (atan2.f64 im re))) (pow.f64 base (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 base) 2) (/.f64 1 (atan2.f64 im re))) (pow.f64 (cbrt.f64 base) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 base) (/.f64 1 (atan2.f64 im re))) (pow.f64 (sqrt.f64 base) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 base base) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (*.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) -1/2) (*.f64 (pow.f64 (atan2.f64 im re) -1/2) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (cbrt.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) -1/2)) (pow.f64 (atan2.f64 im re) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) -1) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) -1) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (cbrt.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1) (pow.f64 (cbrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1) (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 im re) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 im re) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))))))

simplify95.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
684×div-sub_binary64
339×sub-neg_binary64
315×associate-/l/_binary64
309×exp-prod_binary64
302×associate-/r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0261044
1451044
2721044
31551044
43941044
515111008
666201008
Stop Event
1×node limit
Counts
192 → 91
Calls
Call 1
Inputs
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize16.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.6b
(pow.f64 (log.f64 base) -2)
0.4b
(*.f64 (log.f64 base) (atan2.f64 im re))
0.3b
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
✓0.3b
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
0.4b
(*.f64 (log.f64 base) (atan2.f64 im re))
✓0.6b
(pow.f64 (log.f64 base) -2)
Compiler

Compiled 33 to 12 computations (63.6% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
base
@0
(pow.f64 (log.f64 base) -2)
1.0ms
base
@-inf
(pow.f64 (log.f64 base) -2)
1.0ms
base
@inf
(pow.f64 (log.f64 base) -2)
0.0ms
base
@-inf
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
0.0ms
base
@inf
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))

rewrite54.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
914×pow1_binary64
839×add-log-exp_binary64
838×log1p-expm1-u_binary64
838×expm1-log1p-u_binary64
819×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
120223
2232923
Stop Event
1×node limit
Counts
2 → 27
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) -2)
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 base) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (pow.f64 (sqrt.f64 (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))))))))

simplify49.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
524×unswap-sqr_binary64
477×associate-*l*_binary64
452×associate-*r*_binary64
421×distribute-rgt-neg-in_binary64
419×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026432
149432
289432
3262432
41089432
55177432
Stop Event
1×node limit
Counts
75 → 33
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval102.0ms (1.5%)

Compiler

Compiled 5566 to 2187 computations (60.7% saved)

prune88.0ms (1.3%)

Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New4135418
Fresh31114
Picked011
Done268
Total41823441
Error
0b
Counts
441 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
✓1.4b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓0.4b
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
26.1b
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓0.5b
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
▶0.7b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (atan2.f64 im re))
1.3b
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
▶33.0b
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (atan2.f64 im re))
1.7b
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
0.6b
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
6.6b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
26.8b
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
13.0b
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓0.5b
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
✓0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
✓0.5b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶0.6b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
29.8b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
5.2b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (atan2.f64 im re))
1.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (atan2.f64 im re))
0.5b
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 base) 4))
▶6.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
✓0.4b
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
Compiler

Compiled 522 to 381 computations (27% saved)

localize18.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.6b
(pow.f64 (log.f64 base) -2)
0.4b
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
0.3b
(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
✓0.3b
(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
✓0.4b
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
0.6b
(pow.f64 (log.f64 base) -2)
Compiler

Compiled 42 to 20 computations (52.4% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
base
@0
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
0.0ms
base
@-inf
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
0.0ms
re
@inf
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
0.0ms
base
@inf
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
0.0ms
im
@inf
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))

rewrite53.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
963×pow1_binary64
886×add-log-exp_binary64
884×log1p-expm1-u_binary64
884×expm1-log1p-u_binary64
108×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
124624
2255424
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 1 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (atan2.f64 im re) 2))) (/.f64 1 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) (/.f64 1 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (atan2.f64 im re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))))))

simplify63.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
594×div-sub_binary64
524×unswap-sqr_binary64
479×associate-*l*_binary64
457×associate-*r*_binary64
419×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026756
149756
286756
3251756
41062756
55600756
Stop Event
1×node limit
Counts
110 → 44
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))

localize17.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.3b
(/.f64 1 (log.f64 base))
0.1b
(/.f64 1 (atan2.f64 im re))
0.1b
(/.f64 1 (atan2.f64 im re))
0.3b
(/.f64 1 (log.f64 base))
✓0.5b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
base
@0
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms
base
@-inf
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms
re
@-inf
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms
base
@inf
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms
im
@-inf
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

rewrite48.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
965×pow1_binary64
885×add-log-exp_binary64
885×log1p-expm1-u_binary64
885×expm1-log1p-u_binary64
103×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01015
12069
225949
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) 1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (cbrt.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (cbrt.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (atan2.f64 im re) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify77.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
803×div-sub_binary64
628×fma-neg_binary64
582×associate--r-_binary64
489×fma-def_binary64
419×associate--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019324
132324
245324
390324
4188324
5586324
62309324
74816324
86136324
96396324
106539324
116647324
Stop Event
1×node limit
Counts
71 → 38
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize15.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
6.5b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
0.6b
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
✓0.6b
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
✓6.5b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
Compiler

Compiled 35 to 12 computations (65.7% saved)

series17.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
1.0ms
re
@inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
1.0ms
base
@0
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
1.0ms
re
@0
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
1.0ms
re
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)

rewrite48.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
959×pow1_binary64
891×add-log-exp_binary64
891×log1p-expm1-u_binary64
891×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
120424
2243024
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6)) 1/3) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (/.f64 1 (atan2.f64 im re)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -3) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6)) 1) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))))))

simplify74.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
798×div-sub_binary64
681×fma-def_binary64
631×associate-/l*_binary64
485×distribute-neg-frac_binary64
387×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028864
168864
2221864
31018756
44989756
Stop Event
1×node limit
Counts
111 → 46
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)

localize31.0ms (0.4%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
0.1b
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (atan2.f64 im re))
0.1b
(pow.f64 (log.f64 base) -1/2)
✓0.1b
(pow.f64 (log.f64 base) -1/2)
✓0.1b
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (atan2.f64 im re))
✓0.2b
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series90.0ms (1.3%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
50.0ms
base
@inf
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
19.0ms
base
@-inf
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
14.0ms
base
@0
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
1.0ms
base
@-inf
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (atan2.f64 im re))
1.0ms
base
@0
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (atan2.f64 im re))

rewrite58.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
930×pow1_binary64
855×add-log-exp_binary64
855×log1p-expm1-u_binary64
855×expm1-log1p-u_binary64
834×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
122624
2243024
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (atan2.f64 im re))
(pow.f64 (log.f64 base) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/4) (*.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/4)) (pow.f64 (log.f64 base) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 base) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1/2) (pow.f64 (sqrt.f64 (log.f64 base)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2)))))))

simplify90.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
790×div-sub_binary64
618×fma-neg_binary64
585×associate--r-_binary64
492×fma-def_binary64
419×associate--l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028520
142520
255512
3102512
4202512
5595512
62353512
74882512
86180512
96438512
106579512
116687512
Stop Event
1×node limit
Counts
109 → 57
Calls
Call 1
Inputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
Outputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))

localize38.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.7b
(pow.f64 (/.f64 1 (log.f64 base)) 3)
0.6b
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
0.3b
(/.f64 1 (log.f64 base))
0.3b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (atan2.f64 im re))
✓0.3b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (atan2.f64 im re))
0.3b
(/.f64 1 (log.f64 base))
✓0.6b
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
✓0.7b
(pow.f64 (/.f64 1 (log.f64 base)) 3)
Compiler

Compiled 41 to 24 computations (41.5% saved)

series6.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
base
@0
(pow.f64 (/.f64 1 (log.f64 base)) 3)
1.0ms
base
@-inf
(pow.f64 (/.f64 1 (log.f64 base)) 3)
1.0ms
base
@inf
(pow.f64 (/.f64 1 (log.f64 base)) 3)
0.0ms
base
@-inf
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (atan2.f64 im re))
0.0ms
base
@inf
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (atan2.f64 im re))

rewrite53.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
935×pow1_binary64
869×add-log-exp_binary64
868×log1p-expm1-u_binary64
868×expm1-log1p-u_binary64
847×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
124421
2251621
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (atan2.f64 im re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 base) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -3/2) (pow.f64 (log.f64 base) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 3) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3) (pow.f64 (pow.f64 (log.f64 base) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -2) 1) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (neg.f64 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (log.f64 base) -2)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 base) -2) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 base) -2) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (pow.f64 (log.f64 base) -2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 1/3) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3) (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify46.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
758×unsub-neg_binary64
673×fma-neg_binary64
563×fma-def_binary64
504×distribute-rgt-in_binary64
403×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029504
160504
2120504
3362504
41241504
54947504
Stop Event
1×node limit
Counts
131 → 77
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval110.0ms (1.6%)

Compiler

Compiled 5081 to 2584 computations (49.1% saved)

prune119.0ms (1.7%)

Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New3745379
Fresh3811
Picked101
Done2911
Total38022402
Error
0b
Counts
402 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
26.1b
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓1.4b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓0.5b
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
29.8b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
5.2b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (atan2.f64 im re))
✓33.0b
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (atan2.f64 im re))
0.6b
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
6.6b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
26.8b
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
27.4b
(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2))
33.4b
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -3) 1/3) (atan2.f64 im re))
13.0b
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓6.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
0.9b
(/.f64 (/.f64 1 (log.f64 base)) (-.f64 (+.f64 1 (/.f64 1 (atan2.f64 im re))) 1))
✓0.5b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓0.6b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.7b
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (atan2.f64 im re))
1.3b
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
1.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (atan2.f64 im re))
✓0.4b
(/.f64 (atan2.f64 im re) (log.f64 base))
✓0.4b
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
Compiler

Compiled 285 to 215 computations (24.6% saved)

regimes149.0ms (2.2%)

Accuracy

Total -55.0b remaining (-14362.3%)

Threshold costs -55.0b (-14362.3%)

Counts
47 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (atan2.f64 im re))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (atan2.f64 im re))
(/.f64 (/.f64 1 (log.f64 base)) (-.f64 (+.f64 1 (/.f64 1 (atan2.f64 im re))) 1))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -3) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (atan2.f64 im re))
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (atan2.f64 im re))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (atan2.f64 im re))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2))
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 base) 4))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 base) 4))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (cbrt.f64 (pow.f64 (log.f64 base) 6)) (*.f64 0 0)))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

5 calls:

30.0ms
base
29.0ms
re
28.0ms
im
24.0ms
(log.f64 base)
21.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Results
ErrorSegmentsBranch
0.4b1re
0.4b1im
0.4b1base
0.4b1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
0.4b1(log.f64 base)
Compiler

Compiled 615 to 274 computations (55.4% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
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))

end16.0ms (0.2%)

Stop Event
1×fuel
Compiler

Compiled 18 to 12 computations (33.3% saved)

Profiling

Loading profile data...