Details

Time bar (total: 4.1s)

analyze4.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
74.9%25%0.1%3
87.4%12.5%0.1%4
93.7%6.2%0.1%5
96.8%3.1%0.1%6
98.3%1.6%0.1%7
99.1%0.8%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample21.0ms (0.5%)

Algorithm
intervals
Results
15.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify165.0ms (4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
079
179

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.9b
(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64_83
10×add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
pow1_binary64_135
associate-/r*_binary64_23 log-pow_binary64_163
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 associate-/l*_binary64_24
add-log-exp_binary64_113 cbrt-undiv_binary64_108 div-exp_binary64_125 clear-num_binary64_76 frac-2neg_binary64_88 div-inv_binary64_74
Counts
1 → 31
Calls

1 calls:

4.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

series58.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

58.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

simplify106.0ms (2.6%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
05096518

prune34.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New28634
Fresh000
Picked011
Done000
Total28735

Merged error: 0.0b

Counts
35 → 7
Compiler

Compiled 490 to 292 computations (40.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
0.8b
(/.f64 (log.f64 10) (atan2.f64 im re))

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
108×times-frac_binary64_83
60×add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
19×associate-/r*_binary64_23 pow1_binary64_135
16×log-pow_binary64_163
15×add-exp-log_binary64_112
add-cbrt-cube_binary64_110
div-exp_binary64_125
associate-/l*_binary64_24
div-inv_binary64_74
cbrt-undiv_binary64_108
add-log-exp_binary64_113 1-exp_binary64_118 rec-exp_binary64_124 clear-num_binary64_76 frac-2neg_binary64_88
inv-pow_binary64_159 associate-/r/_binary64_25 pow-flip_binary64_148
Counts
2 → 119
Calls

2 calls:

7.0ms
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
6.0ms
(/.f64 (log.f64 10) (atan2.f64 im re))

series112.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

58.0ms
(/.f64 (log.f64 10) (atan2.f64 im re))
54.0ms
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))

simplify110.0ms (2.6%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
048552327
148552327

prune111.0ms (2.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1214125
Fresh235
Picked101
Done101
Total1257132

Merged error: 0.0b

Counts
132 → 7
Compiler

Compiled 1944 to 1196 computations (38.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 1 (*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re))))
0.1b
(/.f64 1 (atan2.f64 im re))
0.9b
(*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))

rewrite31.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
51×add-exp-log_binary64_112
28×add-sqr-sqrt_binary64_98
23×times-frac_binary64_83
22×*-un-lft-identity_binary64_77
21×add-cube-cbrt_binary64_109
20×div-exp_binary64_125
19×add-cbrt-cube_binary64_110
16×prod-exp_binary64_123
13×associate-*r*_binary64_19
10×1-exp_binary64_118 pow1_binary64_135 rec-exp_binary64_124
cbrt-undiv_binary64_108 associate-/l*_binary64_24
associate-/r*_binary64_23 associate-*l*_binary64_20 cbrt-unprod_binary64_107
add-log-exp_binary64_113 unswap-sqr_binary64_45 pow-flip_binary64_148 div-inv_binary64_74
pow-prod-down_binary64_145 inv-pow_binary64_159 associate-*r/_binary64_21 associate-/r/_binary64_25 clear-num_binary64_76 un-div-inv_binary64_75 frac-2neg_binary64_88
*-commutative_binary64_10 log-pow_binary64_163
Counts
3 → 108
Calls

3 calls:

9.0ms
(*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))
8.0ms
(/.f64 1 (*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re))))
6.0ms
(/.f64 1 (atan2.f64 im re))

series152.0ms (3.7%)

Counts
3 → 9
Calls

3 calls:

59.0ms
(*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))
55.0ms
(/.f64 1 (*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re))))
38.0ms
(/.f64 1 (atan2.f64 im re))

simplify112.0ms (2.7%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
047621313
147621313

prune90.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh066
Picked011
Done000
Total1177124

Merged error: 0.0b

Counts
124 → 7
Compiler

Compiled 1524 to 1003 computations (34.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
0.8b
(/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))

rewrite185.0ms (4.5%)

Algorithm
rewrite-expression-head
Rules
1738×times-frac_binary64_83
746×add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
640×sqrt-prod_binary64_92
162×pow1_binary64_135
160×log-pow_binary64_163
54×div-inv_binary64_74
32×associate-/l*_binary64_24
28×associate-/r*_binary64_23
26×add-exp-log_binary64_112
17×div-exp_binary64_125
16×add-cbrt-cube_binary64_110
cbrt-undiv_binary64_108
add-log-exp_binary64_113 1-exp_binary64_118 rec-exp_binary64_124 clear-num_binary64_76 frac-2neg_binary64_88
associate-/r/_binary64_25 associate-/l/_binary64_26
Counts
2 → 742
Calls

2 calls:

32.0ms
(/.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
5.0ms
(/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))

series158.0ms (3.8%)

Counts
2 → 6
Calls

2 calls:

103.0ms
(/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))
56.0ms
(/.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))

simplify331.0ms (8%)

Algorithm
egg-herbie
Counts
748 → 748
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
0495027724
1495027724

prune1.6s (38.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New7471748
Fresh145
Picked011
Done011
Total7487755

Merged error: 0b

Counts
755 → 7
Compiler

Compiled 18268 to 12948 computations (29.1% saved)

regimes67.0ms (1.6%)

Compiler

Compiled 502 to 426 computations (15.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
11215

end0.0ms (0%)

sample644.0ms (15.5%)

Algorithm
intervals
Results
313.0ms8000×body128valid
Compiler

Compiled 137 to 119 computations (13.1% saved)

Profiling

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