Details

Time bar (total: 3.7s)

analyze465.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
12.5%87.3%0.2%7
18.7%81.1%0.2%8
46.8%53%0.2%9
47.6%52.2%0.2%10
48.3%51.5%0.2%11
54.2%45.6%0.2%12
67.6%32.2%0.2%13
68.2%31.6%0.2%14

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms38×body80invalid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
064013
164013

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0)) t)
0.0b
(-.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp_binary64
4×*-un-lft-identity_binary64
2×sub-neg_binary64 pow1_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sum-log_binary64
1×flip3-+_binary64 flip3--_binary64 distribute-lft-out_binary64 associate-+l+_binary64 associate-+l-_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 frac-sub_binary64 associate-*l/_binary64
Counts
2 → 27
Calls
2 calls:
10.0ms
(+.f64 (-.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0)) t)
7.0ms
(-.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0))

series25.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+.f64 (-.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0)) t)
11.0ms
(-.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04978517
14978517

prune44.0ms

Filtered
26 candidates to 33 candidates (-26.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334

Merged error: 0.0b

Counts
34 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

1.2b
(+.f64 (*.f64 (*.f64 (/.f64 1.0 8.0) x) (*.f64 (/.f64 1.0 8.0) x)) (*.f64 (/.f64 (*.f64 y z) 2.0) (+.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0))))
3.3b
(-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3))
4.6b
(*.f64 (/.f64 (*.f64 y z) 2.0) (+.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0)))
36.8b
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3)) (+.f64 (*.f64 (*.f64 (/.f64 1.0 8.0) x) (*.f64 (/.f64 1.0 8.0) x)) (*.f64 (/.f64 (*.f64 y z) 2.0) (+.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0)))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
93×associate-*l/_binary64
77×add-sqr-sqrt_binary64
56×frac-add_binary64
42×times-frac_binary64
40×difference-of-squares_binary64
35×*-un-lft-identity_binary64 associate-*r/_binary64 frac-times_binary64
30×sqr-pow_binary64
25×add-cube-cbrt_binary64
23×associate-/r/_binary64
16×flip3-+_binary64 flip-+_binary64
15×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-/l*_binary64
10×unpow-prod-down_binary64 cube-prod_binary64
8×add-log-exp_binary64
7×associate-*l*_binary64
6×pow1_binary64
5×difference-cubes_binary64 distribute-lft-out--_binary64
4×cbrt-unprod_binary64 cube-div_binary64 prod-exp_binary64
3×associate-/l/_binary64 associate-/r*_binary64 associate-*r*_binary64 cbrt-undiv_binary64 div-exp_binary64
2×flip3--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64 flip--_binary64 associate-+r+_binary64 frac-sub_binary64
1×pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 185
Calls
4 calls:
15.0ms
(+.f64 (*.f64 (*.f64 (/.f64 1.0 8.0) x) (*.f64 (/.f64 1.0 8.0) x)) (*.f64 (/.f64 (*.f64 y z) 2.0) (+.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0))))
14.0ms
(-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3))
14.0ms
(*.f64 (/.f64 (*.f64 y z) 2.0) (+.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0)))
32.0ms
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3)) (+.f64 (*.f64 (*.f64 (/.f64 1.0 8.0) x) (*.f64 (/.f64 1.0 8.0) x)) (*.f64 (/.f64 (*.f64 y z) 2.0) (+.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0)))))

series147.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+.f64 (*.f64 (*.f64 (/.f64 1.0 8.0) x) (*.f64 (/.f64 1.0 8.0) x)) (*.f64 (/.f64 (*.f64 y z) 2.0) (+.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0))))
47.0ms
(-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3))
15.0ms
(*.f64 (/.f64 (*.f64 y z) 2.0) (+.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0)))
57.0ms
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3)) (+.f64 (*.f64 (*.f64 (/.f64 1.0 8.0) x) (*.f64 (/.f64 1.0 8.0) x)) (*.f64 (/.f64 (*.f64 y z) 2.0) (+.f64 (*.f64 (/.f64 1.0 8.0) x) (/.f64 (*.f64 y z) 2.0)))))

simplify120.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049859743
149859743

prune714.0ms

Filtered
146 candidates to 197 candidates (-34.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1952197
Fresh101
Picked101
Done011
Total1973200

Merged error: 0b

Counts
200 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

1.2b
(+.f64 (+.f64 (*.f64 0.0625 (*.f64 x (*.f64 y z))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) 0.25)) (*.f64 0.015625 (*.f64 x x)))
3.3b
(-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3))
4.5b
(*.f64 x (*.f64 y z))
36.8b
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3)) (+.f64 (+.f64 (*.f64 0.0625 (*.f64 x (*.f64 y z))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) 0.25)) (*.f64 0.015625 (*.f64 x x))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt_binary64
40×difference-of-squares_binary64
39×times-frac_binary64
33×*-un-lft-identity_binary64
30×sqr-pow_binary64
23×add-cube-cbrt_binary64
13×associate-/l*_binary64
11×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×unpow-prod-down_binary64 cube-prod_binary64
9×pow1_binary64
5×difference-cubes_binary64 distribute-lft-out--_binary64
4×cube-div_binary64
3×pow-prod-down_binary64 associate-/l/_binary64 associate-/r*_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 sum-log_binary64
2×flip3-+_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64 flip-+_binary64 frac-sub_binary64 associate-*l/_binary64
1×sub-neg_binary64 diff-log_binary64 associate-*r*_binary64 cbrt-undiv_binary64 associate-+l+_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 *-commutative_binary64
Counts
4 → 126
Calls
4 calls:
15.0ms
(+.f64 (+.f64 (*.f64 0.0625 (*.f64 x (*.f64 y z))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) 0.25)) (*.f64 0.015625 (*.f64 x x)))
31.0ms
(-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3))
9.0ms
(*.f64 x (*.f64 y z))
31.0ms
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3)) (+.f64 (+.f64 (*.f64 0.0625 (*.f64 x (*.f64 y z))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) 0.25)) (*.f64 0.015625 (*.f64 x x))))

series129.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+.f64 (+.f64 (*.f64 0.0625 (*.f64 x (*.f64 y z))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) 0.25)) (*.f64 0.015625 (*.f64 x x)))
47.0ms
(-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3))
8.0ms
(*.f64 x (*.f64 y z))
46.0ms
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3) (pow.f64 (/.f64 (*.f64 y z) 2.0) 3)) (+.f64 (+.f64 (*.f64 0.0625 (*.f64 x (*.f64 y z))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) 0.25)) (*.f64 0.015625 (*.f64 x x))))

simplify57.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
052035817

prune252.0ms

Filtered
102 candidates to 138 candidates (-35.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1371138
Fresh101
Picked011
Done011
Total1383141

Merged error: 0b

Counts
141 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

9.2b
(sqrt.f64 (/.f64 (*.f64 y z) 2.0))
9.2b
(sqrt.f64 (/.f64 (*.f64 y z) 2.0))
23.5b
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3))
23.5b
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod_binary64
14×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×pow1_binary64 rem-sqrt-square_binary64 times-frac_binary64
4×add-log-exp_binary64 pow1/2_binary64 sqr-pow_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 sqrt-div_binary64
2×cube-div_binary64 unpow-prod-down_binary64 cube-prod_binary64 div-inv_binary64 unpow3_binary64 associate-*l/_binary64 cube-mult_binary64
Counts
4 → 76
Calls
4 calls:
3.0ms
(sqrt.f64 (/.f64 (*.f64 y z) 2.0))
3.0ms
(sqrt.f64 (/.f64 (*.f64 y z) 2.0))
3.0ms
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3))
3.0ms
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3))

series64.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(sqrt.f64 (/.f64 (*.f64 y z) 2.0))
28.0ms
(sqrt.f64 (/.f64 (*.f64 y z) 2.0))
5.0ms
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3))
6.0ms
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1.0 8.0) x) 3))

simplify34.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05095814

prune182.0ms

Filtered
74 candidates to 88 candidates (-18.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done022
Total88391

Merged error: 0b

Counts
91 → 3

regimes473.0ms

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
04913
14913

end0.0ms

sample573.0ms

Algorithm
intervals
Results
303.0ms7999×body80valid
50.0ms1144×body80invalid
0.0ms1×body640valid

Profiling

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