Details

Time bar (total: 1.7s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%25%25%3
50%12.5%37.5%4
50%6.2%43.8%5
50%3.1%46.9%6
50%1.6%48.5%7
50%0.8%49.2%8
50%0.4%49.6%9
50%0.2%49.8%10
50%0.1%49.9%11
50%0%50%12
50%0%50%13
50%0%50%14

sample14.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0514414

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 6.0 (-.f64 x 1.0))
0.0b
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.3b
(/.f64 (*.f64 6.0 (-.f64 x 1.0)) (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
9×*-un-lft-identity_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
5×pow1_binary64 associate-*r*_binary64
4×associate-*r/_binary64
3×associate-/r*_binary64 associate-*l*_binary64 times-frac_binary64 sum-log_binary64
2×flip3-+_binary64 associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64
1×pow-prod-down_binary64 associate-+l+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 +-commutative_binary64 *-commutative_binary64
Counts
3 → 62
Calls
3 calls:
6.0ms
(*.f64 6.0 (-.f64 x 1.0))
6.0ms
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
12.0ms
(/.f64 (*.f64 6.0 (-.f64 x 1.0)) (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(*.f64 6.0 (-.f64 x 1.0))
5.0ms
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
11.0ms
(/.f64 (*.f64 6.0 (-.f64 x 1.0)) (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))

simplify46.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04992903
14992903

prune87.0ms

Filtered
55 candidates to 71 candidates (-29.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New66571
Fresh000
Picked101
Done000
Total67572

Merged error: 0b

Counts
72 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.0b
(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0))
0.0b
(/.f64 6.0 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64
103×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
71×add-cube-cbrt_binary64
26×associate-/r*_binary64
16×difference-of-squares_binary64 distribute-lft-out--_binary64
11×associate-/r/_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
6×associate-/l*_binary64 div-inv_binary64
5×flip3--_binary64 flip--_binary64
4×cbrt-undiv_binary64 div-exp_binary64
3×pow1_binary64 sum-log_binary64
2×flip3-+_binary64 associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
1×associate-+l+_binary64 +-commutative_binary64
Counts
3 → 154
Calls
3 calls:
6.0ms
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
11.0ms
(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0))
12.0ms
(/.f64 6.0 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
8.0ms
(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0))
11.0ms
(/.f64 6.0 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050793735

prune206.0ms

Filtered
129 candidates to 163 candidates (-26.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1621163
Fresh134
Picked011
Done000
Total1635168

Merged error: 0b

Counts
168 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 6.0 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))
0.0b
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.1b
(*.f64 (/.f64 6.0 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))) (-.f64 x 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64 times-frac_binary64
15×associate-*l*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
5×pow1_binary64 associate-*r*_binary64
4×associate-/r/_binary64
3×flip3-+_binary64 associate-/r*_binary64 associate-/l*_binary64 flip-+_binary64 sum-log_binary64
2×sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 frac-times_binary64
1×pow-prod-down_binary64 associate-+l+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 84
Calls
3 calls:
7.0ms
(/.f64 6.0 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))
6.0ms
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
14.0ms
(*.f64 (/.f64 6.0 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))) (-.f64 x 1.0))

series24.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/.f64 6.0 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))
5.0ms
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
11.0ms
(*.f64 (/.f64 6.0 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))) (-.f64 x 1.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050201630

prune108.0ms

Filtered
77 candidates to 93 candidates (-20.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh123
Picked101
Done011
Total94498

Merged error: 0b

Counts
98 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.0b
(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0)
0.1b
(*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0)) (-.f64 x 1.0))
0.1b
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac_binary64
106×add-sqr-sqrt_binary64
94×*-un-lft-identity_binary64
90×add-cube-cbrt_binary64
44×associate-*l*_binary64
36×add-exp-log_binary64
20×add-cbrt-cube_binary64
16×associate-/r*_binary64
15×div-exp_binary64
10×div-inv_binary64
9×add-log-exp_binary64
7×pow1_binary64 cbrt-undiv_binary64 prod-exp_binary64
6×associate-/l*_binary64
5×associate-*r*_binary64 unswap-sqr_binary64
4×1-exp_binary64 rec-exp_binary64
3×cbrt-unprod_binary64 sum-log_binary64
2×flip3-+_binary64 associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 associate-*r/_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 flip-+_binary64 frac-times_binary64
1×pow-prod-down_binary64 associate-+l+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 inv-pow_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 pow-flip_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 198
Calls
4 calls:
10.0ms
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
9.0ms
(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0)
19.0ms
(*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0)) (-.f64 x 1.0))
9.0ms
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0))

series31.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
6.0ms
(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0)
10.0ms
(*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0)) (-.f64 x 1.0))
9.0ms
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0))

simplify94.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049683723
149683723

prune255.0ms

Filtered
157 candidates to 210 candidates (-33.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2100210
Fresh022
Picked011
Done011
Total2104214

Merged error: 0b

Counts
214 → 4

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02414
12414

end0.0ms

sample398.0ms

Algorithm
intervals
Results
306.0ms8000×body80valid

Profiling

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