Details

Time bar (total: 3.6s)

analyze8.0ms (0.2%)

Algorithm
search
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)

sample81.0ms (2.2%)

Algorithm
intervals
Results
49.0ms126×body1024valid
15.0ms74×body512valid
5.0msbody2048valid
4.0ms34×body256valid
1.0ms15×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify361.0ms (9.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (201.0ms)

IterNodesCost
0498912
1498912

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.9b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.8b
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity_binary64_1088
52×add-sqr-sqrt_binary64_1109
48×times-frac_binary64_1094
30×log-prod_binary64_1171
25×add-cube-cbrt_binary64_1120
18×difference-of-squares_binary64_1057
13×distribute-lft-out_binary64_1041
distribute-lft-out--_binary64_1042
add-exp-log_binary64_1123
associate-/l*_binary64_1035
add-cbrt-cube_binary64_1121 associate-/r*_binary64_1034 associate-/r/_binary64_1036
pow1_binary64_1146
rem-log-exp_binary64_1126 associate-/l/_binary64_1037 div-exp_binary64_1136 flip-+_binary64_1062 add-log-exp_binary64_1124 flip3-+_binary64_1091 div-inv_binary64_1085
clear-num_binary64_1087 frac-2neg_binary64_1099 log-pow_binary64_1174 flip3--_binary64_1092 flip--_binary64_1063 div-sub_binary64_1093 log-div_binary64_1172 cbrt-undiv_binary64_1119
Counts
2 → 92
Calls

2 calls:

10.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
9.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))

series85.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

60.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
26.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify75.0ms (2%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
052241892

prune111.0ms (3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New97198
Fresh000
Picked101
Done000
Total98199

Merged error: 0b

Counts
99 → 1
Compiler

Compiled 1518 to 1167 computations (23.1% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (pow.f64 eps 5) -2/5) (*.f64 (pow.f64 eps 3) -2/3))
0.1b
(*.f64 (pow.f64 eps 5) -2/5)
0.1b
(*.f64 (pow.f64 eps 3) -2/3)

rewrite24.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_1109
19×associate-*l*_binary64_1031
13×add-exp-log_binary64_1123
10×*-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
unpow-prod-down_binary64_1164
add-cbrt-cube_binary64_1121 unswap-sqr_binary64_1056
associate-*r*_binary64_1030 prod-exp_binary64_1134
add-log-exp_binary64_1124
cube-prod_binary64_1113 sqr-pow_binary64_1060
pow1_binary64_1146
*-commutative_binary64_1021 cbrt-unprod_binary64_1118 pow-exp_binary64_1153 pow-to-exp_binary64_1154
unpow3_binary64_1151 cube-mult_binary64_1115 sum-log_binary64_1176 +-commutative_binary64_1020 flip-+_binary64_1062 flip3-+_binary64_1091
Counts
3 → 67
Calls

3 calls:

7.0ms
(*.f64 (pow.f64 eps 3) -2/3)
6.0ms
(+.f64 (*.f64 (pow.f64 eps 5) -2/5) (*.f64 (pow.f64 eps 3) -2/3))
6.0ms
(*.f64 (pow.f64 eps 5) -2/5)

series304.0ms (8.4%)

Counts
3 → 9
Calls

3 calls:

191.0ms
(+.f64 (*.f64 (pow.f64 eps 5) -2/5) (*.f64 (pow.f64 eps 3) -2/3))
63.0ms
(*.f64 (pow.f64 eps 5) -2/5)
49.0ms
(*.f64 (pow.f64 eps 3) -2/3)

simplify67.0ms (1.8%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04941890
14941890

prune87.0ms (2.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done000
Total76177

Merged error: 0b

Counts
77 → 1
Compiler

Compiled 1517 to 1212 computations (20.1% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01922
11922

end0.0ms (0%)

sample2.4s (65.6%)

Algorithm
intervals
Results
1.4s4035×body1024valid
378.0ms1997×body512valid
206.0ms392×body2048valid
111.0ms998×body256valid
32.0ms578×body128valid
Compiler

Compiled 54 to 48 computations (11.1% saved)

Profiling

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