Details

Time bar (total: 4.5s)

analyze440.0ms (9.9%)

Algorithm
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
23.4%51.5%25.1%7
24.2%50.7%25.1%8
24.6%50.3%25.1%9
36.9%25.5%37.6%10
37.2%25.3%37.6%11
37.3%25.1%37.6%12
43.5%12.7%43.8%13
43.6%12.6%43.8%14
Compiler

Compiled 29 to 21 computations (27.6% saved)

sample39.0ms (0.9%)

Algorithm
intervals
Results
28.0ms256×body128valid
1.0ms14×body128nan
Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify286.0ms (6.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
049689
149689

prune9.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2
Compiler

Compiled 74 to 58 computations (21.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64_429
10×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458 add-sqr-sqrt_binary64_445
pow1_binary64_484
log-pow_binary64_512 associate-/r*_binary64_367
add-exp-log_binary64_461 add-cbrt-cube_binary64_459 associate-/l*_binary64_368
clear-num_binary64_422 frac-2neg_binary64_434 add-log-exp_binary64_462 div-inv_binary64_420 cbrt-undiv_binary64_457 div-exp_binary64_474
Counts
1 → 31
Calls

1 calls:

3.0ms
(/.f64 (atan2.f64 im re) (log.f64 base))

series93.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

93.0ms
(/.f64 (atan2.f64 im re) (log.f64 base))

simplify70.0ms (1.6%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04804518
14804518

prune147.0ms (3.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New25934
Fresh011
Picked011
Done000
Total251136

Merged error: 0.0b

Counts
36 → 11
Compiler

Compiled 2300 to 1365 computations (40.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64_445
26×times-frac_binary64_429
21×*-un-lft-identity_binary64_423
20×add-cube-cbrt_binary64_458
16×associate-*r*_binary64_363
15×add-exp-log_binary64_461
12×pow1_binary64_484
add-cbrt-cube_binary64_459
log-pow_binary64_512
prod-exp_binary64_472 associate-/r*_binary64_367 div-exp_binary64_474
associate-*l*_binary64_364 unswap-sqr_binary64_391 associate-/l*_binary64_368
rec-exp_binary64_473 1-exp_binary64_467 add-log-exp_binary64_462 div-inv_binary64_420 cbrt-undiv_binary64_457 cbrt-unprod_binary64_456
pow-prod-down_binary64_494 un-div-inv_binary64_421 associate-*r/_binary64_365 *-commutative_binary64_354 clear-num_binary64_422 frac-2neg_binary64_434 pow-flip_binary64_497 inv-pow_binary64_508
Counts
2 → 74
Calls

2 calls:

9.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
4.0ms
(/.f64 1 (log.f64 base))

series244.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

150.0ms
(/.f64 1 (log.f64 base))
94.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify62.0ms (1.4%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05058875

prune145.0ms (3.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New78280
Fresh099
Picked011
Done011
Total781391

Merged error: 0.0b

Counts
91 → 13
Compiler

Compiled 2320 to 1366 computations (41.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.4b
(/.f64 (log.f64 base) (atan2.f64 im re))

rewrite22.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
108×times-frac_binary64_429
60×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458 add-sqr-sqrt_binary64_445
19×pow1_binary64_484 associate-/r*_binary64_367
16×log-pow_binary64_512
15×add-exp-log_binary64_461
add-cbrt-cube_binary64_459
div-exp_binary64_474
associate-/l*_binary64_368
div-inv_binary64_420
cbrt-undiv_binary64_457
rec-exp_binary64_473 1-exp_binary64_467 clear-num_binary64_422 frac-2neg_binary64_434 add-log-exp_binary64_462
associate-/r/_binary64_369 pow-flip_binary64_497 inv-pow_binary64_508
Counts
2 → 119
Calls

2 calls:

7.0ms
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
4.0ms
(/.f64 (log.f64 base) (atan2.f64 im re))

series183.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

92.0ms
(/.f64 (log.f64 base) (atan2.f64 im re))
91.0ms
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

simplify72.0ms (1.6%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050052327

prune143.0ms (3.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1214125
Fresh3710
Picked011
Done022
Total12414138

Merged error: 0.0b

Counts
138 → 14
Compiler

Compiled 2780 to 1135 computations (59.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite55.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
88×times-frac_binary64_429
85×add-sqr-sqrt_binary64_445
84×cbrt-prod_binary64_454
68×*-un-lft-identity_binary64_423
66×add-cube-cbrt_binary64_458
51×cube-prod_binary64_451 unpow-prod-down_binary64_502
41×associate-*r*_binary64_363
31×pow1_binary64_484
22×log-pow_binary64_512
15×add-exp-log_binary64_461
10×add-cbrt-cube_binary64_459
unswap-sqr_binary64_391
div-inv_binary64_420
pow-exp_binary64_491 add-log-exp_binary64_462 associate-/r*_binary64_367 sqr-pow_binary64_395 div-exp_binary64_474
associate-*l*_binary64_364 unpow3_binary64_489 pow-pow_binary64_495 pow-unpow_binary64_500 cube-mult_binary64_453 associate-/l*_binary64_368 cube-div_binary64_452
rec-exp_binary64_473 1-exp_binary64_467 cbrt-div_binary64_455 pow-flip_binary64_497 inv-pow_binary64_508 rem-cube-cbrt_binary64_446 cbrt-undiv_binary64_457
pow-prod-down_binary64_494 pow-to-exp_binary64_492 prod-exp_binary64_472 pow1/3_binary64_505 associate-*r/_binary64_365 *-commutative_binary64_354 rem-cbrt-cube_binary64_447 clear-num_binary64_422 frac-2neg_binary64_434 cbrt-unprod_binary64_456
Counts
4 → 204
Calls

4 calls:

19.0ms
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
6.0ms
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
6.0ms
(pow.f64 (/.f64 1 (log.f64 base)) 3)
4.0ms
(/.f64 1 (log.f64 base))

series582.0ms (13%)

Counts
4 → 12
Calls

4 calls:

198.0ms
(pow.f64 (/.f64 1 (log.f64 base)) 3)
150.0ms
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
147.0ms
(/.f64 1 (log.f64 base))
87.0ms
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))

simplify75.0ms (1.7%)

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049432423
149432423

prune223.0ms (5%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New2160216
Fresh01010
Picked011
Done033
Total21614230

Merged error: 0.0b

Counts
230 → 14
Compiler

Compiled 3852 to 2202 computations (42.8% saved)

regimes133.0ms (3%)

Compiler

Compiled 1016 to 751 computations (26.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample1.4s (31%)

Algorithm
intervals
Results
827.0ms8000×body128valid
95.0ms1017×body128nan
Compiler

Compiled 225 to 167 computations (25.8% saved)

Profiling

Loading profile data...