Details

Time bar (total: 1.7s)

analyze7.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14

sample20.0ms

Algorithm
intervals
Results
12.0ms256×body128valid
2.0ms256×pre128true

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0578313

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/.f64 -1 (*.f64 i i))
0.5b
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64
15×times-frac_binary64
13×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
6×associate-/l*_binary64
5×associate-/r*_binary64
4×distribute-lft-out_binary64
3×cbrt-undiv_binary64 div-exp_binary64
2×add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
1×flip3-+_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip-+_binary64
Counts
2 → 54
Calls
2 calls:
9.0ms
(/.f64 -1 (*.f64 i i))
8.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

series65.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/.f64 -1 (*.f64 i i))
34.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

simplify58.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05205918

prune46.0ms

Filtered
42 candidates to 60 candidates (-42.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New58260
Fresh101
Picked101
Done000
Total60262

Merged error: 0b

Counts
62 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 -1 (*.f64 i i)))))
0.1b
(/.f64 -1 (*.f64 i i))
0.5b
(/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 -1 (*.f64 i i))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity_binary64
53×times-frac_binary64
42×add-sqr-sqrt_binary64
37×add-cube-cbrt_binary64
30×associate-*r*_binary64
28×cbrt-prod_binary64
22×add-exp-log_binary64
15×add-cbrt-cube_binary64
13×distribute-lft-out_binary64
9×associate-/l*_binary64
8×pow1_binary64
7×cbrt-unprod_binary64 prod-exp_binary64
5×associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
4×associate-/r/_binary64
3×pow-prod-down_binary64 add-log-exp_binary64 unswap-sqr_binary64 div-inv_binary64
2×flip3-+_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
1×associate-*r/_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
3 → 122
Calls
3 calls:
21.0ms
(*.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 -1 (*.f64 i i)))))
5.0ms
(/.f64 -1 (*.f64 i i))
10.0ms
(/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 -1 (*.f64 i i))))

series176.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(*.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 -1 (*.f64 i i)))))
30.0ms
(/.f64 -1 (*.f64 i i))
57.0ms
(/.f64 (cbrt.f64 1/4) (+.f64 4 (/.f64 -1 (*.f64 i i))))

simplify83.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049722700
149722700

prune134.0ms

Filtered
92 candidates to 131 candidates (-42.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done000
Total1312133

Merged error: 0b

Counts
133 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 4 (pow.f64 i 6))
0.0b
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
0.0b
(-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
10×add-log-exp_binary64
8×add-exp-log_binary64
7×associate-*r*_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
5×add-cbrt-cube_binary64
4×diff-log_binary64 unpow-prod-down_binary64
3×sub-neg_binary64 pow1_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64
2×flip3--_binary64 sqr-pow_binary64 flip--_binary64
1×pow-to-exp_binary64 associate--l-_binary64 cbrt-unprod_binary64 pow-exp_binary64 associate--l+_binary64 *-commutative_binary64
Counts
3 → 50
Calls
3 calls:
6.0ms
(*.f64 4 (pow.f64 i 6))
7.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
12.0ms
(-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))

series263.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(*.f64 4 (pow.f64 i 6))
137.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
58.0ms
(-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))

simplify48.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04939954
14939954

prune45.0ms

Filtered
39 candidates to 59 candidates (-51.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done011
Total59261

Merged error: 0b

Counts
61 → 2

regimes9.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01425
11425

end0.0ms

sample583.0ms

Algorithm
intervals
Results
391.0ms8000×body128valid
83.0ms8000×pre128true

Profiling

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