Details

Time bar (total: 4.2s)

analyze879.0ms

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

sample98.0ms

Algorithm
intervals
Results
48.0ms102×body2560valid
26.0ms76×body1280valid
10.0ms37×body640valid
4.0ms21×body320valid
1.0ms10×body160valid
1.0ms10×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0504414

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b
(*.f64 5 (*.f64 v v))
0.8b
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
18×times-frac_binary64
15×add-cube-cbrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
8×pow1_binary64 difference-of-squares_binary64
6×associate-/r*_binary64
4×difference-of-sqr-1_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 → 71
Calls
3 calls:
9.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms
(*.f64 5 (*.f64 v v))
1.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))

series13.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
3.0ms
(*.f64 5 (*.f64 v v))
4.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049321195
149321195

prune50.0ms

Filtered
54 candidates to 80 candidates (-48.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New76480
Fresh000
Picked101
Done000
Total77481

Merged error: 0.7b

Counts
81 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))
0.8b
(acos.f64 (+.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

rewrite12.0ms

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))
2.0ms
(acos.f64 (+.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

series17.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))
4.0ms
(acos.f64 (+.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

simplify65.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04950382
14950382

prune23.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33134
Fresh033
Picked011
Done000
Total33538

Merged error: 0.7b

Counts
38 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 5 (*.f64 v v))
0.8b
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0b
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64 cbrt-prod_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
6×unpow-prod-down_binary64 cube-prod_binary64
4×add-log-exp_binary64
3×pow-prod-down_binary64 pow-unpow_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
2×sqr-pow_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 rem-cbrt-cube_binary64 acos-asin_binary64 associate-*r*_binary64 pow1/3_binary64 pow-pow_binary64 unswap-sqr_binary64 rem-cube-cbrt_binary64 pow-exp_binary64 *-commutative_binary64
Counts
4 → 71
Calls
4 calls:
6.0ms
(*.f64 5 (*.f64 v v))
1.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
2.0ms
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
2.0ms
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

series33.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(*.f64 5 (*.f64 v v))
3.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
3.0ms
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
23.0ms
(pow.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

simplify68.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049661244
149661244

prune47.0ms

Filtered
42 candidates to 83 candidates (-97.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New79483
Fresh213
Picked101
Done101
Total83588

Merged error: 0.7b

Counts
88 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
1.0b
(*.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0b
(pow.f64 (*.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1_binary64
28×add-sqr-sqrt_binary64
21×sqrt-prod_binary64
17×pow1/2_binary64 sqrt-pow1_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
14×pow-pow_binary64
10×pow-prod-up_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×swap-sqr_binary64 cbrt-prod_binary64
6×pow-prod-down_binary64 associate-*r*_binary64 associate-*l*_binary64 pow-sqr_binary64
4×add-log-exp_binary64 unswap-sqr_binary64
3×pow-unpow_binary64
2×cbrt-unprod_binary64 sqr-pow_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-cube-cbrt_binary64 unpow-prod-down_binary64 prod-exp_binary64 cube-prod_binary64 pow-exp_binary64 pow2_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 rem-cbrt-cube_binary64 sqrt-pow2_binary64 rem-square-sqrt_binary64 pow1/3_binary64 rem-sqrt-square_binary64 *-commutative_binary64
Counts
4 → 114
Calls
4 calls:
1.0ms
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))))
2.0ms
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
7.0ms
(*.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))))
7.0ms
(pow.f64 (*.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3)

series42.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))))
4.0ms
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
4.0ms
(*.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))))
25.0ms
(pow.f64 (*.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3)

simplify54.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
055001858

prune65.0ms

Filtered
57 candidates to 126 candidates (-121.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1233126
Fresh044
Picked101
Done000
Total1247131

Merged error: 0.7b

Counts
131 → 7

regimes98.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07121
17121

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s2924×body2560valid
706.0ms2553×body1280valid
261.0ms1273×body640valid
89.0ms607×body320valid
44.0ms414×body160valid
13.0ms229×body80valid
0.0ms7×body80nan

Profiling

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