Details

Time bar (total: 5.2s)

analyze8.0ms (0.2%)

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)

sample30.0ms (0.6%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify169.0ms (3.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
079
179

prune5.0ms (0.1%)

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)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64_84
10×add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
pow1_binary64_139
associate-/r*_binary64_22 log-pow_binary64_167
add-cbrt-cube_binary64_114 associate-/l*_binary64_23 add-exp-log_binary64_116
add-log-exp_binary64_117 cbrt-undiv_binary64_112 div-exp_binary64_129 frac-2neg_binary64_89 div-inv_binary64_75 clear-num_binary64_77
Counts
1 → 31
Calls

1 calls:

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

series66.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

66.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))

simplify211.0ms (4%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (191.0ms)

IterNodesCost
05096518

prune65.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New26834
Fresh000
Picked101
Done000
Total27835

Merged error: 0.0b

Counts
35 → 8
Compiler

Compiled 514 to 304 computations (40.9% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite85.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt_binary64_100
85×times-frac_binary64_84
52×*-un-lft-identity_binary64_78
51×sqrt-prod_binary64_94
46×add-cube-cbrt_binary64_113
26×add-exp-log_binary64_116
25×associate-*l*_binary64_19 associate-*r*_binary64_18
16×add-cbrt-cube_binary64_114
15×unswap-sqr_binary64_46
14×pow1_binary64_139
10×log-pow_binary64_167
div-exp_binary64_129
prod-exp_binary64_127
associate-/r*_binary64_22
cbrt-undiv_binary64_112
cbrt-unprod_binary64_111
div-inv_binary64_75 associate-/l*_binary64_23
add-log-exp_binary64_117 1-exp_binary64_122 rec-exp_binary64_128
*-commutative_binary64_9 frac-2neg_binary64_89 frac-times_binary64_88 associate-*l/_binary64_21 pow-prod-down_binary64_149 associate-*r/_binary64_20 clear-num_binary64_77
Counts
2 → 132
Calls

2 calls:

47.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
8.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

series149.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

93.0ms
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
55.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

simplify175.0ms (3.3%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (119.0ms)

IterNodesCost
051322592

prune263.0ms (5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1344138
Fresh257
Picked101
Done000
Total1379146

Merged error: 0.0b

Counts
146 → 9
Compiler

Compiled 2659 to 1901 computations (28.5% saved)

localize19.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite84.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
76×add-exp-log_binary64_116
46×times-frac_binary64_84
43×add-sqr-sqrt_binary64_100
40×prod-exp_binary64_127
33×*-un-lft-identity_binary64_78
31×add-cube-cbrt_binary64_113
28×add-cbrt-cube_binary64_114 associate-*l*_binary64_19
26×sqrt-prod_binary64_94 associate-*r*_binary64_18
20×div-exp_binary64_129
15×pow1_binary64_139
12×cbrt-unprod_binary64_111
10×1-exp_binary64_122 rec-exp_binary64_128
cbrt-undiv_binary64_112 log-pow_binary64_167
unswap-sqr_binary64_46 associate-*r/_binary64_20
pow-prod-down_binary64_149
un-div-inv_binary64_76
*-commutative_binary64_9 add-log-exp_binary64_117 div-inv_binary64_75 frac-times_binary64_88
associate-*l/_binary64_21
Counts
2 → 117
Calls

2 calls:

36.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))
23.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))

series148.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

88.0ms
(*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10))))
60.0ms
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))))

simplify242.0ms (4.6%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (194.0ms)

IterNodesCost
047351642
147351642

prune243.0ms (4.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh358
Picked011
Done000
Total1257132

Merged error: 0b

Counts
132 → 7
Compiler

Compiled 2016 to 1582 computations (21.5% saved)

localize24.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.8b
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
0.9b
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

rewrite94.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod_binary64_94
48×add-sqr-sqrt_binary64_100
46×times-frac_binary64_84
35×*-un-lft-identity_binary64_78
34×add-exp-log_binary64_116
33×add-cube-cbrt_binary64_113
31×associate-*l*_binary64_19
30×unpow-prod-down_binary64_157 associate-*r*_binary64_18
19×prod-exp_binary64_127
10×pow1_binary64_139
add-cbrt-cube_binary64_114
pow-exp_binary64_146
unswap-sqr_binary64_46
log-pow_binary64_167
cbrt-unprod_binary64_111 div-exp_binary64_129
*-commutative_binary64_9 pow-to-exp_binary64_147 add-log-exp_binary64_117 1-exp_binary64_122 sqr-pow_binary64_50 div-inv_binary64_75 rec-exp_binary64_128
associate-*l/_binary64_21 pow-prod-down_binary64_149 sqrt-div_binary64_95
Counts
2 → 102
Calls

2 calls:

40.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))
29.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))

series291.0ms (5.6%)

Counts
2 → 6
Calls

2 calls:

233.0ms
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2))
57.0ms
(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) 3/2)))

simplify117.0ms (2.2%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
055362642

prune305.0ms (5.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh325
Picked011
Done011
Total1105115

Merged error: 0b

Counts
115 → 5
Compiler

Compiled 2727 to 2335 computations (14.4% saved)

regimes394.0ms (7.5%)

Compiler

Compiled 1995 to 1698 computations (14.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01729
11729

end0.0ms (0%)

sample2.0s (38.4%)

Algorithm
intervals
Results
532.0ms8000×body128valid
Compiler

Compiled 502 to 431 computations (14.1% saved)

Profiling

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