Details

Time bar (total: 14.0s)

analyze2.1s (15%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
9.4%90.4%0.2%6
17.2%82.7%0.2%7
19.5%80.3%0.2%8
30.8%69%0.2%9
35.5%64.3%0.2%10
42.4%57.4%0.2%11
47.1%52.7%0.2%12
48.9%50.8%0.3%13
50%49.7%0.4%14
Compiler

Compiled 42 to 20 computations (52.4% saved)

sample5.9s (41.9%)

Results
2.6s2506×body1024invalid
1.8s7851×body128valid
616.0ms984×body512invalid
258.0ms176×body1024valid
197.0ms460×body256invalid
147.0ms580×body128invalid
70.0ms115×body512valid
45.0ms32×body2048invalid
43.0ms102×body256valid
18.0ms12×body2048valid
Compiler

Compiled 125 to 59 computations (52.8% saved)

simplify68.0ms (0.5%)

Algorithm
egg-herbie
Rules
892×unswap-sqr_binary64
461×associate-/l*_binary64
323×associate-/r*_binary64
296×associate-*l/_binary64
286×associate-*r/_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02040
13938
27038
311838
426338
599638
6304338
7408538
8454138
9486638
10493238

prune6.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
5.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
7.8b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
33.8b
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Compiler

Compiled 206 to 96 computations (53.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
1.3b
(*.f64 (atan2.f64 x.im x.re) y.im)
2.4b
(*.f64 y.re (atan2.f64 x.im x.re))
30.0b
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

series661.0ms (4.7%)

Counts
4 → 96
Calls

4 calls:

537.0ms
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
109.0ms
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
8.0ms
(*.f64 y.re (atan2.f64 x.im x.re))
7.0ms
(*.f64 (atan2.f64 x.im x.re) y.im)

rewrite15.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
24×*-un-lft-identity_binary64
24×add-cube-cbrt_binary64
21×times-frac_binary64
12×unpow-prod-down_binary64
Counts
4 → 97
Calls

4 calls:

4.0ms
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
3.0ms
(*.f64 y.re (atan2.f64 x.im x.re))
3.0ms
(*.f64 (atan2.f64 x.im x.re) y.im)
1.0ms
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

simplify207.0ms (1.5%)

Algorithm
egg-herbie
Rules
723×times-frac_binary64
676×fma-def_binary64
672×associate-/l*_binary64
276×*-commutative_binary64
164×cancel-sign-sub-inv_binary64
Counts
193 → 270
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07049231
122058440
244908380
349648380
448758380

prune449.0ms (3.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New26010270
Fresh101
Picked101
Done000
Total26210272
Error
2.3b
Counts
272 → 10
Alt Table
StatusErrorProgram
13.0b
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
15.4b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
27.3b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
8.4b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
39.1b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
33.3b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
22.7b
(*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
33.9b
(*.f64 (/.f64 (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
7.8b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
7.8b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
Compiler

Compiled 15296 to 4881 computations (68.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
1.3b
(*.f64 (atan2.f64 x.im x.re) y.im)
2.4b
(*.f64 y.re (atan2.f64 x.im x.re))
30.0b
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

prune465.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2691270
Fresh189
Picked101
Done000
Total2719280
Error
2.3b
Counts
280 → 9
Alt Table
StatusErrorProgram
13.0b
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
7.8b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
27.3b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
15.4b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
8.4b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
39.1b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
33.3b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
22.7b
(*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
33.9b
(*.f64 (/.f64 (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
Compiler

Compiled 15778 to 5039 computations (68.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
1.3b
(*.f64 (atan2.f64 x.im x.re) y.im)
2.4b
(*.f64 y.re (atan2.f64 x.im x.re))
30.0b
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

prune872.0ms (6.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4573460
Fresh268
Picked011
Done000
Total45910469
Error
2.3b
Counts
469 → 10
Alt Table
StatusErrorProgram
39.0b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))))
33.3b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
13.0b
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
7.8b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
27.3b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
39.1b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
22.7b
(*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
33.9b
(*.f64 (/.f64 (pow.f64 (/.f64 -1 x.im) (neg.f64 y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
15.4b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
33.2b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
Compiler

Compiled 40008 to 9229 computations (76.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
0.2b
(log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
2.4b
(*.f64 y.re (atan2.f64 x.im x.re))
30.0b
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))

series1.1s (8%)

Counts
2 → 96
Calls

2 calls:

1.0s
(log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
110.0ms
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))

rewrite2.0ms (0%)

Algorithm
rewrite-expression-head
Rules
expm1-log1p-u_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

0.0ms
(log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
0.0ms
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))

simplify200.0ms (1.4%)

Algorithm
egg-herbie
Rules
739×associate-/r*_binary64
699×fma-def_binary64
296×*-commutative_binary64
147×sub-neg_binary64
139×+-commutative_binary64
Counts
118 → 151
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072811932
1266210643
2494210633
3481110633

prune450.0ms (3.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2442246
Fresh268
Picked101
Done011
Total2479256
Error
2.2b
Counts
256 → 9
Alt Table
StatusErrorProgram
39.0b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im))))))))
15.8b
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (expm1.f64 (-.f64 (log1p.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (*.f64 (*.f64 y.im y.im) (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) 2))) (pow.f64 (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2)) (fma.f64 1/2 (/.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 1 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))))
33.3b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
27.3b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
39.1b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im))))
22.7b
(*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
13.0b
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) 3))))
7.8b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
33.2b
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
Compiler

Compiled 20155 to 8833 computations (56.2% saved)

regimes1.1s (8.1%)

Accuracy

Total 3.8b remaining (55.9%)

Threshold costs 0b (0%)

Counts
115 → 4
Compiler

Compiled 19682 to 10555 computations (46.4% saved)

bsearch72.0ms (0.5%)

Steps
ItersRangePoint
1
5.1263508958171376e+169
8.222960140631676e+172
1.9591354278808688e+171
4
1.7307490443733222e-21
3.38702927510468e-21
3.335270517894325e-21
1
-2.3254459381336256e+49
-2.318897272614875e+48
-7.528406115902009e+48
Compiler

Compiled 5 to 4 computations (20% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
13×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054180
166180
275180
381180
485180
586180
685180

end232.0ms (1.7%)

Compiler

Compiled 655 to 277 computations (57.7% saved)

Profiling

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