Details

Time bar (total: 3.2s)

analyze641.0ms

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
0%99.8%0.2%7
7.8%92%0.2%8
16.4%83.4%0.2%9
23.8%76%0.2%10
25.1%74.7%0.2%11
38.1%59.4%2.5%12
41.8%55.3%2.9%13
46.5%50.3%3.1%14

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms43×body80invalid

simplify206.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (203.0ms)

IterNodesCost
0148311
1148311

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.2b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

5.0b
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64
10×associate-*r*_binary64
8×times-frac_binary64
4×difference-of-squares_binary64 distribute-lft-out--_binary64
3×pow1_binary64 associate-*r/_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
2×sub-neg_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 frac-sub_binary64 *-commutative_binary64
Counts
1 → 30
Calls
1 calls:
29.0ms
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify40.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05248389

prune40.0ms

Filtered
23 candidates to 33 candidates (-43.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New28533
Fresh000
Picked011
Done000
Total28634

Merged error: 0.0b

Counts
34 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

1.4b
(*.f64 x (*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))
8.7b
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
8.7b
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
8.7b
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt_binary64
41×*-un-lft-identity_binary64
33×cbrt-div_binary64
30×cbrt-prod_binary64
24×times-frac_binary64
18×associate-*r/_binary64
12×difference-of-squares_binary64 distribute-lft-out--_binary64
11×flip3--_binary64 flip--_binary64 frac-sub_binary64
9×pow1_binary64 add-exp-log_binary64 frac-times_binary64
8×add-cube-cbrt_binary64
7×add-cbrt-cube_binary64
4×add-log-exp_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 pow1/3_binary64 associate-*l*_binary64 prod-exp_binary64 associate-*l/_binary64
1×associate-*r*_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 97
Calls
4 calls:
51.0ms
(*.f64 x (*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))
21.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
20.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
22.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(*.f64 x (*.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))
34.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
37.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
35.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
052621995

prune119.0ms

Filtered
85 candidates to 109 candidates (-28.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1072109
Fresh044
Picked011
Done011
Total1078115

Merged error: 0.0b

Counts
115 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

8.7b
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
8.7b
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
8.7b
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
8.7b
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt_binary64
52×*-un-lft-identity_binary64
40×cbrt-prod_binary64
32×times-frac_binary64
16×difference-of-squares_binary64 distribute-lft-out--_binary64
12×cbrt-div_binary64
8×add-cube-cbrt_binary64
4×add-log-exp_binary64 pow1_binary64 flip3--_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip--_binary64 frac-sub_binary64
Counts
4 → 84
Calls
4 calls:
20.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
35.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
22.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
20.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

series140.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
34.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
37.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
34.0ms
(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049611600
149611600

prune146.0ms

Filtered
72 candidates to 96 candidates (-33.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh055
Picked011
Done022
Total968104

Merged error: 0.0b

Counts
104 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 t (+.f64 y (/.f64 t z)))
6.5b
(*.f64 (/.f64 x z) (+.f64 t (+.f64 y (/.f64 t z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity_binary64
15×add-sqr-sqrt_binary64
13×associate-*l*_binary64
10×add-cube-cbrt_binary64 times-frac_binary64
7×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
6×distribute-lft-out_binary64
5×associate-*r*_binary64
4×pow1_binary64
3×flip3-+_binary64 flip-+_binary64 sum-log_binary64
2×cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 frac-times_binary64
1×pow-prod-down_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 associate-+r+_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 55
Calls
2 calls:
8.0ms
(+.f64 t (+.f64 y (/.f64 t z)))
14.0ms
(*.f64 (/.f64 x z) (+.f64 t (+.f64 y (/.f64 t z))))

series22.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+.f64 t (+.f64 y (/.f64 t z)))
17.0ms
(*.f64 (/.f64 x z) (+.f64 t (+.f64 y (/.f64 t z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04926742
14926742

prune24.0ms

Filtered
41 candidates to 61 candidates (-48.8%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New59261
Fresh134
Picked011
Done033
Total60969

Merged error: 0.0b

Counts
69 → 9

regimes509.0ms

Accuracy

88.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 4.8b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
094111
194111

end0.0ms

sample621.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
80.0ms1875×body80invalid

Profiling

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