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
10.0ms256×body80valid

simplify214.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (210.0ms)

IterNodesCost
0564014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b
(*.f64 6 (-.f64 x 1))
0.1b
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
7×associate-*r*_binary64 add-cube-cbrt_binary64
5×pow1_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 difference-of-squares_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64
1×pow-prod-down_binary64 associate-+l+_binary64 difference-of-sqr-1_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 +-commutative_binary64 *-commutative_binary64
Counts
3 → 64
Calls
3 calls:
6.0ms
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
7.0ms
(*.f64 6 (-.f64 x 1))
12.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
4.0ms
(*.f64 6 (-.f64 x 1))
10.0ms
(/.f64 (*.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

simplify30.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05029890

prune60.0ms

Filtered
55 candidates to 73 candidates (-32.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New69473
Fresh000
Picked101
Done000
Total70474

Merged error: 0b

Counts
74 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b
(*.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
0.0b
(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt_binary64
48×*-un-lft-identity_binary64
43×times-frac_binary64
27×associate-*r*_binary64 add-cube-cbrt_binary64
14×difference-of-squares_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
7×difference-of-sqr-1_binary64 associate-/l*_binary64 distribute-lft-out--_binary64
5×pow1_binary64
4×associate-/r/_binary64
3×flip3-+_binary64 associate-/r*_binary64 associate-*l*_binary64 flip-+_binary64 sum-log_binary64
2×associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
1×pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 associate-+l+_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 flip--_binary64 *-commutative_binary64
Counts
3 → 107
Calls
3 calls:
6.0ms
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
16.0ms
(*.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
11.0ms
(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
10.0ms
(*.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
9.0ms
(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

simplify54.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049412084
149412084

prune87.0ms

Filtered
85 candidates to 116 candidates (-36.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh123
Picked011
Done000
Total1164120

Merged error: 0b

Counts
120 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.2b
(/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
0.2b
(*.f64 (/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))) (/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))
0.3b
(/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
158×add-sqr-sqrt_binary64
132×times-frac_binary64
115×*-un-lft-identity_binary64
76×add-cube-cbrt_binary64
72×sqrt-prod_binary64
48×associate-*r*_binary64
26×difference-of-squares_binary64
24×associate-*l*_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
13×difference-of-sqr-1_binary64 distribute-lft-out--_binary64
12×associate-/r*_binary64
10×associate-/l*_binary64
9×add-log-exp_binary64 unswap-sqr_binary64
8×associate-/r/_binary64 sqrt-div_binary64
6×pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
5×flip3-+_binary64 flip-+_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 div-inv_binary64
3×sum-log_binary64
2×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 associate-+l+_binary64 div-sub_binary64 +-commutative_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 227
Calls
4 calls:
7.0ms
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
10.0ms
(/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
38.0ms
(*.f64 (/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))) (/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))
12.0ms
(/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
14.0ms
(/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
10.0ms
(*.f64 (/.f64 6 (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))) (/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))
16.0ms
(/.f64 (-.f64 x 1) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
055515580

prune233.0ms

Filtered
148 candidates to 239 candidates (-61.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2390239
Fresh022
Picked011
Done011
Total2394243

Merged error: 0b

Counts
243 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt.f64 (-.f64 x 1))
0.3b
(cbrt.f64 (-.f64 x 1))
0.3b
(cbrt.f64 (-.f64 x 1))
0.3b
(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod_binary64
55×add-sqr-sqrt_binary64
44×*-un-lft-identity_binary64
18×cbrt-div_binary64
16×difference-of-squares_binary64
15×add-cube-cbrt_binary64
14×swap-sqr_binary64
11×pow1_binary64
10×associate-*r*_binary64 associate-*l*_binary64
9×flip3--_binary64 pow1/3_binary64 difference-of-sqr-1_binary64 distribute-lft-out--_binary64 flip--_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 115
Calls
4 calls:
4.0ms
(cbrt.f64 (-.f64 x 1))
9.0ms
(cbrt.f64 (-.f64 x 1))
6.0ms
(cbrt.f64 (-.f64 x 1))
17.0ms
(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt.f64 (-.f64 x 1))
7.0ms
(cbrt.f64 (-.f64 x 1))
7.0ms
(cbrt.f64 (-.f64 x 1))
10.0ms
(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049081307
149081307

prune103.0ms

Filtered
88 candidates to 127 candidates (-44.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done022
Total1274131

Merged error: 0b

Counts
131 → 4

regimes20.0ms

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
02514
12514

end0.0ms

sample395.0ms

Algorithm
intervals
Results
304.0ms8000×body80valid
0.0ms2×body80nan

Profiling

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