Details

Time bar (total: 2.5s)

analyze196.0ms (8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0492430
1492430
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample30.0ms (1.2%)

Algorithm
intervals
Results
13.0ms62×body1024valid
5.0ms138×body128valid
4.0ms38×body512valid
1.0ms16×body256valid
0.0msbody2048valid
Compiler

Compiled 21 to 25 computations (-19% saved)

simplify78.0ms (3.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0475815
1475815

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1
Compiler

Compiled 20 to 22 computations (-10% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.3b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite25.0ms (1%)

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64_3147
23×add-sqr-sqrt_binary64_3169
15×times-frac_binary64_3153
12×add-cube-cbrt_binary64_3182
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 associate-/r*_binary64_3091 distribute-lft-out_binary64_3098 difference-of-squares_binary64_3116 add-log-exp_binary64_3186
cancel-sign-sub-inv_binary64_3113 associate-/l*_binary64_3092
difference-of-sqr-1_binary64_3117 pow1_binary64_3208 associate-/r/_binary64_3093
flip--_binary64_3122 clear-num_binary64_3146 flip-+_binary64_3121 flip3--_binary64_3151 frac-2neg_binary64_3158 flip3-+_binary64_3150 sub-neg_binary64_3140 distribute-lft-out--_binary64_3099 cbrt-undiv_binary64_3181 div-exp_binary64_3198 diff-log_binary64_3239 div-inv_binary64_3144
Counts
2 → 54
Calls

2 calls:

16.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series76.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

47.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
29.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify104.0ms (4.2%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
048511187
148511187

prune76.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh000
Picked011
Done000
Total59261

Merged error: 0b

Counts
61 → 2
Compiler

Compiled 1043 to 948 computations (9.1% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 2/15 (pow.f64 x 5))
0.2b
(*.f64 1/3 (pow.f64 x 3))
19.6b
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))

rewrite24.0ms (1%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_3169
19×associate-*r*_binary64_3087
13×add-exp-log_binary64_3185
10×*-un-lft-identity_binary64_3147 add-cube-cbrt_binary64_3182
unpow-prod-down_binary64_3226 add-log-exp_binary64_3186
unswap-sqr_binary64_3115 add-cbrt-cube_binary64_3183
prod-exp_binary64_3196 associate-*l*_binary64_3088
cube-prod_binary64_3175 sqr-pow_binary64_3119
pow1_binary64_3208
*-commutative_binary64_3078 pow-exp_binary64_3215 pow-to-exp_binary64_3216 cbrt-unprod_binary64_3180 diff-log_binary64_3239
flip--_binary64_3122 cancel-sign-sub-inv_binary64_3113 associate--l+_binary64_3084 flip3--_binary64_3151 sub-neg_binary64_3140 cube-mult_binary64_3177 unpow3_binary64_3213 sum-log_binary64_3238
Counts
3 → 70
Calls

3 calls:

7.0ms
(*.f64 1/3 (pow.f64 x 3))
6.0ms
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))
6.0ms
(*.f64 2/15 (pow.f64 x 5))

series91.0ms (3.7%)

Counts
3 → 9
Calls

3 calls:

33.0ms
(*.f64 2/15 (pow.f64 x 5))
33.0ms
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))
25.0ms
(*.f64 1/3 (pow.f64 x 3))

simplify48.0ms (1.9%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049861003
149861003

prune84.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done011
Total79281

Merged error: 0b

Counts
81 → 2
Compiler

Compiled 1401 to 1082 computations (22.8% saved)

regimes347.0ms (14.1%)

Compiler

Compiled 2166 to 2197 computations (-1.4% saved)

bsearch1.0ms (0.1%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
095136
195136

end0.0ms (0%)

sample1.3s (51.1%)

Algorithm
intervals
Results
399.0ms1945×body1024valid
152.0ms4316×body128valid
124.0ms1022×body512valid
50.0ms206×body2048valid
45.0ms511×body256valid
Compiler

Compiled 300 to 294 computations (2% saved)

Profiling

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