Details

Time bar (total: 3.7s)

analyze251.0ms (6.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0528312
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample68.0ms (1.8%)

Algorithm
intervals
Results
40.0ms128×body1024valid
13.0ms70×body512valid
4.0msbody2048valid
3.0ms28×body256valid
1.0ms21×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify164.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (158.0ms)

IterNodesCost
0528312

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.8b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.7b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite27.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity_binary64_1101
52×add-sqr-sqrt_binary64_1123
48×times-frac_binary64_1107
30×log-prod_binary64_1187
25×add-cube-cbrt_binary64_1136
18×difference-of-squares_binary64_1070
13×distribute-lft-out_binary64_1052
distribute-lft-out--_binary64_1053
add-exp-log_binary64_1139
associate-/l*_binary64_1046
associate-/r/_binary64_1047 add-cbrt-cube_binary64_1137 associate-/r*_binary64_1045
pow1_binary64_1162
add-log-exp_binary64_1140 rem-log-exp_binary64_1142 flip3-+_binary64_1104 associate-/l/_binary64_1048 div-inv_binary64_1098 div-exp_binary64_1152 flip-+_binary64_1075
frac-2neg_binary64_1112 clear-num_binary64_1100 flip--_binary64_1076 flip3--_binary64_1105 cbrt-undiv_binary64_1135 log-pow_binary64_1190 log-div_binary64_1188 div-sub_binary64_1106
Counts
2 → 92
Calls

2 calls:

8.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
7.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series42.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

30.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
12.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify73.0ms (2%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
057131892

prune106.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New96298
Fresh000
Picked101
Done000
Total97299

Merged error: 0b

Counts
99 → 2
Compiler

Compiled 1527 to 1173 computations (23.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 2/5 (pow.f64 eps 5))
0.1b
(*.f64 (pow.f64 eps 3) -2/3)

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_1123
15×associate-*l*_binary64_1042
12×add-exp-log_binary64_1139
10×associate-*r*_binary64_1041
*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
unpow-prod-down_binary64_1180
unswap-sqr_binary64_1069
prod-exp_binary64_1150 add-cbrt-cube_binary64_1137
cube-prod_binary64_1129 sqr-pow_binary64_1073
*-commutative_binary64_1032 pow-exp_binary64_1169 cbrt-unprod_binary64_1134 add-log-exp_binary64_1140 pow1_binary64_1162 pow-to-exp_binary64_1170
cube-mult_binary64_1131 unpow3_binary64_1167
Counts
2 → 56
Calls

2 calls:

6.0ms
(*.f64 (pow.f64 eps 3) -2/3)
5.0ms
(*.f64 2/5 (pow.f64 eps 5))

series62.0ms (1.7%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(*.f64 2/5 (pow.f64 eps 5))
26.0ms
(*.f64 (pow.f64 eps 3) -2/3)

simplify48.0ms (1.3%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04968592
14968592

prune67.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done000
Total62264

Merged error: 0b

Counts
64 → 2
Compiler

Compiled 1206 to 836 computations (30.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

6.7b
(log.f64 (-.f64 1 eps))
6.7b
(log.f64 (+.f64 1 eps))

rewrite8.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×log-prod_binary64_1187
*-un-lft-identity_binary64_1101
add-sqr-sqrt_binary64_1123
add-exp-log_binary64_1139 pow1_binary64_1162 add-cube-cbrt_binary64_1136 log-div_binary64_1188
difference-of-squares_binary64_1070 add-log-exp_binary64_1140 rem-log-exp_binary64_1142 add-cbrt-cube_binary64_1137 log-pow_binary64_1190
distribute-lft-out_binary64_1052 distribute-lft-out--_binary64_1053 flip--_binary64_1076 flip3--_binary64_1105 flip3-+_binary64_1104 flip-+_binary64_1075
Counts
2 → 32
Calls

2 calls:

3.0ms
(log.f64 (-.f64 1 eps))
3.0ms
(log.f64 (+.f64 1 eps))

series27.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

13.0ms
(log.f64 (-.f64 1 eps))
13.0ms
(log.f64 (+.f64 1 eps))

simplify69.0ms (1.9%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05410460

prune31.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done011
Total38240

Merged error: 0b

Counts
40 → 2
Compiler

Compiled 549 to 424 computations (22.8% saved)

regimes101.0ms (2.7%)

Compiler

Compiled 1083 to 909 computations (16.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06622
16622

end0.0ms (0%)

sample2.5s (68%)

Algorithm
intervals
Results
1.3s4020×body1024valid
360.0ms1973×body512valid
200.0ms417×body2048valid
102.0ms1008×body256valid
28.0ms582×body128valid
Compiler

Compiled 354 to 297 computations (16.1% saved)

Profiling

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