Details

Time bar (total: 4.6s)

analyze829.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
3%46.9%50%13
3.1%46.8%50%14

sample87.0ms

Algorithm
intervals
Results
44.0ms108×body2560valid
21.0ms65×body1280valid
9.0ms40×body640valid
3.0ms19×body320valid
2.0ms19×body160valid
0.0ms5×body80valid
0.0ms1×body80nan

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
0579714

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))
0.1b
(*.f64 5.0 (*.f64 v v))
0.6b
(acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×times-frac_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
8×pow1_binary64
4×associate-/r*_binary64 difference-of-squares_binary64
3×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 associate-/l*_binary64
2×associate-/l/_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64
1×acos-asin_binary64 associate-*r*_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
3 → 63
Calls
3 calls:
8.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))
6.0ms
(*.f64 5.0 (*.f64 v v))
1.0ms
(acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))
4.0ms
(*.f64 5.0 (*.f64 v v))
4.0ms
(acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049601050
149601050

prune77.0ms

Filtered
53 candidates to 72 candidates (-35.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New69372
Fresh000
Picked101
Done000
Total70373

Merged error: 0.6b

Counts
73 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0))
0.6b
(acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
2×add-log-exp_binary64 associate-*r/_binary64 associate-*l/_binary64
1×flip3-+_binary64 acos-asin_binary64 associate-*r*_binary64 flip-+_binary64 *-commutative_binary64
Counts
2 → 28
Calls
2 calls:
10.0ms
(*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0))
1.0ms
(acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

series21.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0))
4.0ms
(acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05085382

prune31.0ms

Filtered
21 candidates to 34 candidates (-61.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33134
Fresh112
Picked011
Done000
Total34337

Merged error: 0.6b

Counts
37 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))
1.0b
(sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0b
(sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0b
(*.f64 (sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
24×sqrt-prod_binary64
21×pow1_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
8×swap-sqr_binary64
6×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
5×pow-prod-up_binary64
4×add-log-exp_binary64 unswap-sqr_binary64
3×pow-prod-down_binary64 pow-sqr_binary64
2×rem-sqrt-square_binary64
1×cbrt-unprod_binary64 acos-asin_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 83
Calls
4 calls:
1.0ms
(acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))
1.0ms
(sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
2.0ms
(sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
6.0ms
(*.f64 (sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))
12.0ms
(sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
12.0ms
(sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
6.0ms
(*.f64 (sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (sqrt.f64 (acos.f64 (-.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049071280
149071280

prune78.0ms

Filtered
47 candidates to 95 candidates (-102.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh011
Picked011
Done011
Total94498

Merged error: 0.5b

Counts
98 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0)))))
1.0b
(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
1.0b
(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
1.0b
(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
9×pow1/3_binary64
6×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
6.0ms
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0)))))
1.0ms
(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
1.0ms
(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
1.0ms
(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))))

series211.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0)))))
49.0ms
(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
47.0ms
(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))))
49.0ms
(cbrt.f64 (acos.f64 (/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (-.f64 (*.f64 v v) 1.0))))

simplify66.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
054961672

prune112.0ms

Filtered
57 candidates to 85 candidates (-49.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New83285
Fresh011
Picked011
Done022
Total83689

Merged error: 0.5b

Counts
89 → 6

regimes198.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02312
12312

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s2949×body2560valid
707.0ms2548×body1280valid
262.0ms1255×body640valid
94.0ms605×body320valid
43.0ms423×body160valid
13.0ms220×body80valid
0.0ms4×body80nan

Profiling

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