Details

Time bar (total: 4.6s)

analyze1.1s

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
9.4%90.4%0.2%11
9.4%90.4%0.2%12
10.1%89.6%0.2%13
20.8%78.9%0.2%14

sample31.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms102×body80invalid

simplify362.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (359.0ms)

IterNodesCost
0488813
1488813

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t))
0.2b
(*.f64 (*.f64 z 9.0) t)
6.9b
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t)) (*.f64 a 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64 add-cbrt-cube_binary64
8×pow1_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
5×add-log-exp_binary64
4×cbrt-unprod_binary64 prod-exp_binary64
3×pow-prod-down_binary64 associate-*r*_binary64 associate-/l*_binary64 times-frac_binary64
2×associate-/l/_binary64 flip3--_binary64 cbrt-undiv_binary64 div-exp_binary64 flip--_binary64
1×associate-/r*_binary64 sub-neg_binary64 diff-log_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
3 → 53
Calls
3 calls:
4.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t))
5.0ms
(*.f64 (*.f64 z 9.0) t)
7.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t)) (*.f64 a 2.0))

series41.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t))
5.0ms
(*.f64 (*.f64 z 9.0) t)
22.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t)) (*.f64 a 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05095704

prune109.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New511162
Fresh000
Picked011
Done000
Total511263

Merged error: 7.0b

Counts
63 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t)))
0.2b
(*.f64 z (*.f64 9.0 t))
6.9b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t))) (*.f64 a 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64 add-cbrt-cube_binary64
8×pow1_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
5×add-log-exp_binary64
4×cbrt-unprod_binary64 prod-exp_binary64
3×pow-prod-down_binary64 associate-*l*_binary64 associate-/l*_binary64 times-frac_binary64
2×associate-/l/_binary64 flip3--_binary64 cbrt-undiv_binary64 div-exp_binary64 flip--_binary64
1×associate-/r*_binary64 sub-neg_binary64 diff-log_binary64 associate-*r*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
3 → 53
Calls
3 calls:
4.0ms
(-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t)))
5.0ms
(*.f64 z (*.f64 9.0 t))
8.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t))) (*.f64 a 2.0))

series41.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t)))
4.0ms
(*.f64 z (*.f64 9.0 t))
22.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t))) (*.f64 a 2.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05089703

prune95.0ms

Filtered
41 candidates to 62 candidates (-51.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh2810
Picked101
Done011
Total631174

Merged error: 7.0b

Counts
74 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t)))
0.2b
(*.f64 z (*.f64 9.0 t))
7.0b
(*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t))) 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64
30×add-exp-log_binary64
25×times-frac_binary64
20×*-un-lft-identity_binary64 add-cbrt-cube_binary64
18×add-cube-cbrt_binary64
16×associate-*l*_binary64
14×associate-*r*_binary64
11×prod-exp_binary64
10×pow1_binary64
8×div-exp_binary64
7×cbrt-unprod_binary64
6×unswap-sqr_binary64
5×add-log-exp_binary64
4×pow-prod-down_binary64 cbrt-undiv_binary64
2×1-exp_binary64 rec-exp_binary64 div-inv_binary64 *-commutative_binary64
1×sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-*r/_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64
Counts
3 → 85
Calls
3 calls:
4.0ms
(-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t)))
5.0ms
(*.f64 z (*.f64 9.0 t))
14.0ms
(*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t))) 2.0))

series53.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t)))
5.0ms
(*.f64 z (*.f64 9.0 t))
34.0ms
(*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 9.0 t))) 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049841246
149841246

prune115.0ms

Filtered
62 candidates to 94 candidates (-51.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New92294
Fresh369
Picked011
Done011
Total9510105

Merged error: 7.0b

Counts
105 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t))
0.2b
(*.f64 (*.f64 z 9.0) t)
0.4b
(/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t)) 2.0)))
6.9b
(/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t)) 2.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
232×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
57×associate-/r*_binary64
35×add-exp-log_binary64
23×add-cbrt-cube_binary64
22×div-inv_binary64
18×div-exp_binary64
10×pow1_binary64
9×cbrt-undiv_binary64
6×add-log-exp_binary64 associate-/r/_binary64 associate-/l*_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 1-exp_binary64 prod-exp_binary64 rec-exp_binary64
2×clear-num_binary64 frac-2neg_binary64
1×sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-*l*_binary64 inv-pow_binary64 flip--_binary64 pow-flip_binary64 *-commutative_binary64
Counts
4 → 303
Calls
4 calls:
5.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t))
6.0ms
(*.f64 (*.f64 z 9.0) t)
15.0ms
(/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t)) 2.0)))
11.0ms
(/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t)) 2.0))

series78.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t))
4.0ms
(*.f64 (*.f64 z 9.0) t)
37.0ms
(/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t)) 2.0)))
22.0ms
(/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9.0) t)) 2.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
315 → 315
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051477259

prune354.0ms

Filtered
211 candidates to 315 candidates (-49.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New3150315
Fresh077
Picked011
Done022
Total31510325

Merged error: 7.0b

Counts
325 → 10

regimes988.0ms

Accuracy

0% (0.4b remaining)

Error of 8.1b against oracle of 7.7b and baseline of 8.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05913
15913

end0.0ms

sample854.0ms

Algorithm
intervals
Results
357.0ms8000×body80valid
139.0ms3193×body80invalid

Profiling

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