Details

Time bar (total: 1.1s)

analyze2.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample9.0ms (0.8%)

Algorithm
intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify88.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
084
184

prune3.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x 1/3)

rewrite4.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_8301 *-un-lft-identity_binary64_8262
flip-+_binary64_8236 flip3-+_binary64_8265 pow1_binary64_8323 +-commutative_binary64_8192 distribute-lft-out_binary64_8213 add-sqr-sqrt_binary64_8284 add-exp-log_binary64_8300 add-cbrt-cube_binary64_8298 sum-log_binary64_8353 add-cube-cbrt_binary64_8297
Counts
1 → 12
Calls

1 calls:

4.0ms
(+.f64 x 1/3)

series11.0ms (1%)

Counts
1 → 3
Calls

1 calls:

11.0ms
(+.f64 x 1/3)

simplify92.0ms (8.3%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04778101
14778101

prune14.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316
Error
0b
Counts
16 → 3
Compiler

Compiled 107 to 85 computations (20.6% saved)

localize4.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x 1/3)
0.0b
(sqrt.f64 (+.f64 x 1/3))
0.0b
(sqrt.f64 (+.f64 x 1/3))
0.2b
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))

rewrite28.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod_binary64_8278 *-un-lft-identity_binary64_8262
30×add-sqr-sqrt_binary64_8284
21×pow1_binary64_8323
16×sqrt-div_binary64_8279
14×add-cube-cbrt_binary64_8297
11×swap-sqr_binary64_8229
10×sqrt-pow1_binary64_8280 pow1/2_binary64_8342
flip-+_binary64_8236 flip3-+_binary64_8265 distribute-lft-out_binary64_8213
associate-*l*_binary64_8203 associate-*r*_binary64_8202
add-exp-log_binary64_8300 add-cbrt-cube_binary64_8298 add-log-exp_binary64_8301
pow-prod-up_binary64_8332
unswap-sqr_binary64_8230 frac-times_binary64_8272 rem-sqrt-square_binary64_8275
pow-sqr_binary64_8235 pow-prod-down_binary64_8333
associate-*r/_binary64_8204 associate-*l/_binary64_8205
prod-exp_binary64_8311 +-commutative_binary64_8192 pow2_binary64_8343 cbrt-unprod_binary64_8295 sqr-abs_binary64_8277 sum-log_binary64_8353 *-commutative_binary64_8193 sqrt-unprod_binary64_8282 pow-plus_binary64_8325 rem-square-sqrt_binary64_8274
Counts
4 → 107
Calls

4 calls:

12.0ms
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
3.0ms
(+.f64 x 1/3)
3.0ms
(sqrt.f64 (+.f64 x 1/3))
3.0ms
(sqrt.f64 (+.f64 x 1/3))

series52.0ms (4.7%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(sqrt.f64 (+.f64 x 1/3))
15.0ms
(sqrt.f64 (+.f64 x 1/3))
12.0ms
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
10.0ms
(+.f64 x 1/3)

simplify104.0ms (9.4%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
049311178
149311178

prune92.0ms (8.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done011
Total1193122
Error
0b
Counts
122 → 3
Compiler

Compiled 1402 to 1105 computations (21.2% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(log.f64 (+.f64 x 1/3))
0.0b
(+.f64 x 1/3)
1.7b
(exp.f64 (log.f64 (+.f64 x 1/3)))

rewrite13.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64_8262
log-prod_binary64_8348
add-sqr-sqrt_binary64_8284 add-cube-cbrt_binary64_8297
pow1_binary64_8323 add-log-exp_binary64_8301
exp-prod_binary64_8314 log-div_binary64_8349 add-exp-log_binary64_8300 exp-sum_binary64_8308
flip-+_binary64_8236 flip3-+_binary64_8265 distribute-lft-out_binary64_8213 add-cbrt-cube_binary64_8298
log-pow_binary64_8351 exp-diff_binary64_8310
rem-log-exp_binary64_8303 +-commutative_binary64_8192 sum-log_binary64_8353 rem-exp-log_binary64_8302
Counts
3 → 45
Calls

3 calls:

4.0ms
(exp.f64 (log.f64 (+.f64 x 1/3)))
3.0ms
(+.f64 x 1/3)
3.0ms
(log.f64 (+.f64 x 1/3))

series141.0ms (12.8%)

Counts
3 → 9
Calls

3 calls:

118.0ms
(exp.f64 (log.f64 (+.f64 x 1/3)))
13.0ms
(log.f64 (+.f64 x 1/3))
10.0ms
(+.f64 x 1/3)

simplify54.0ms (4.9%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04226462
14226462

prune36.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh000
Picked011
Done022
Total54357
Error
0b
Counts
57 → 3
Compiler

Compiled 459 to 367 computations (20% saved)

regimes23.0ms (2.1%)

Accuracy

Total 0.0b remaining (29.2%)

Threshold costs 0.0b (29.2%)

Compiler

Compiled 68 to 66 computations (2.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

end0.0ms (0%)

sample327.0ms (29.6%)

Algorithm
intervals
Results
146.0ms8000×body128valid
Compiler

Compiled 37 to 37 computations (0% saved)

Profiling

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