Details

Time bar (total: 1.6s)

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

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
3.0ms256×pre80true

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0578413

prune9.0ms

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: 0.3b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 -1 (*.f64 i i))
0.4b
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64
15×times-frac_binary64
13×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
associate-/r*_binary64
distribute-lft-out_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
flip3-+_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip-+_binary64
Counts
2 → 54
Calls
2 calls:
5.0ms
(/.f64 -1 (*.f64 i i))
7.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

series35.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/.f64 -1 (*.f64 i i))
18.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

simplify71.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05178918

prune43.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh011
Picked011
Done000
Total59362

Merged error: 0b

Counts
62 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
10×add-log-exp_binary64
add-exp-log_binary64
associate-*r*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-cbrt-cube_binary64
unpow-prod-down_binary64
pow1_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64
diff-log_binary64 sqr-pow_binary64 sum-log_binary64
pow-to-exp_binary64 flip3-+_binary64 sub-neg_binary64 associate--r+_binary64 flip3--_binary64 cbrt-unprod_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 pow-exp_binary64 *-commutative_binary64
Counts
3 → 49
Calls
3 calls:
9.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6))))
5.0ms
(*.f64 4 (pow.f64 i 6))
5.0ms
(+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6))))
30.0ms
(*.f64 4 (pow.f64 i 6))
83.0ms
(+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6)))

simplify76.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04924947
14924947

prune45.0ms

Filtered
38 candidates to 58 candidates (-52.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done011
Total58361

Merged error: 0b

Counts
61 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (*.f64 i i) (*.f64 i i))
19.2b
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
43.5b
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
302×add-exp-log_binary64 add-cbrt-cube_binary64
168×cbrt-unprod_binary64 prod-exp_binary64
114×pow1_binary64
76×cbrt-undiv_binary64 div-exp_binary64
38×times-frac_binary64
36×pow-prod-up_binary64
23×pow-prod-down_binary64
22×*-un-lft-identity_binary64 add-sqr-sqrt_binary64 pow-sqr_binary64
18×pow-plus_binary64
16×add-cube-cbrt_binary64
13×pow2_binary64
12×difference-of-squares_binary64
div-inv_binary64
associate-/r*_binary64
difference-of-sqr-1_binary64 associate-/l*_binary64
add-log-exp_binary64
associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64
associate-/l/_binary64 flip3--_binary64 swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64 unswap-sqr_binary64 flip--_binary64 *-commutative_binary64
Counts
3 → 232
Calls
3 calls:
9.0ms
(*.f64 (*.f64 i i) (*.f64 i i))
35.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
28.0ms
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

series78.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(*.f64 (*.f64 i i) (*.f64 i i))
34.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))
19.0ms
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

simplify140.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
048503454
148503454

prune79.0ms

Filtered
71 candidates to 241 candidates (-239.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2410241
Fresh000
Picked011
Done022
Total2413244

Merged error: 0b

Counts
244 → 3

regimes22.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01013
11013

end0.0ms

sample579.0ms

Algorithm
intervals
Results
387.0ms8000×body80valid
86.0ms8000×pre80true

Profiling

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