Details

Time bar (total: 5.2s)

analyze1.4s

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

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms85×body80invalid

simplify178.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (175.0ms)

IterNodesCost
0504013

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (*.f64 z 9) t)
0.5b
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))
9.4b
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64
cbrt-unprod_binary64 prod-exp_binary64
pow-prod-down_binary64 associate-*r*_binary64 associate-/l*_binary64 times-frac_binary64
associate-/l/_binary64 flip3--_binary64 cbrt-undiv_binary64 div-exp_binary64 flip--_binary64
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:
5.0ms
(*.f64 (*.f64 z 9) t)
9.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))
8.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2))

series38.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(*.f64 (*.f64 z 9) t)
14.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))
20.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2))

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05031695

prune104.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New521062
Fresh000
Picked101
Done000
Total531063

Merged error: 5.2b

Counts
63 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
0.2b
(*.f64 9/2 (/.f64 z a))
4.4b
(*.f64 t (*.f64 9/2 (/.f64 z a)))
7.7b
(/.f64 (*.f64 x y) (*.f64 a 2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log_binary64 add-cbrt-cube_binary64
18×add-sqr-sqrt_binary64
14×associate-*r*_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64 times-frac_binary64
add-log-exp_binary64 cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
associate-*r/_binary64
pow-prod-down_binary64
unswap-sqr_binary64 div-inv_binary64 *-commutative_binary64
associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 flip--_binary64 frac-sub_binary64
Counts
4 → 86
Calls
4 calls:
8.0ms
(-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
7.0ms
(*.f64 9/2 (/.f64 z a))
7.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))
6.0ms
(/.f64 (*.f64 x y) (*.f64 a 2))

series44.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
3.0ms
(*.f64 9/2 (/.f64 z a))
8.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))
6.0ms
(/.f64 (*.f64 x y) (*.f64 a 2))

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04979914
14979914

prune115.0ms

Filtered
61 candidates to 98 candidates (-60.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New93598
Fresh549
Picked101
Done000
Total999108

Merged error: 0.0b

Counts
108 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 x (/.f64 a (/.f64 y 2))) (*.f64 t (*.f64 9/2 (/.f64 z a))))
0.2b
(*.f64 9/2 (/.f64 z a))
4.4b
(*.f64 t (*.f64 9/2 (/.f64 z a)))
7.2b
(/.f64 x (/.f64 a (/.f64 y 2)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
406×times-frac_binary64
203×add-sqr-sqrt_binary64
198×*-un-lft-identity_binary64 add-cube-cbrt_binary64
44×associate-/r*_binary64
27×add-exp-log_binary64 add-cbrt-cube_binary64
18×div-inv_binary64
14×associate-*r*_binary64
11×pow1_binary64
cbrt-undiv_binary64 div-exp_binary64
cbrt-unprod_binary64 prod-exp_binary64
add-log-exp_binary64 associate-*l*_binary64
associate-*r/_binary64 associate-/r/_binary64
pow-prod-down_binary64
associate-/l*_binary64
unswap-sqr_binary64 *-commutative_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 frac-sub_binary64
Counts
4 → 261
Calls
4 calls:
44.0ms
(-.f64 (/.f64 x (/.f64 a (/.f64 y 2))) (*.f64 t (*.f64 9/2 (/.f64 z a))))
7.0ms
(*.f64 9/2 (/.f64 z a))
7.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))
13.0ms
(/.f64 x (/.f64 a (/.f64 y 2)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(-.f64 (/.f64 x (/.f64 a (/.f64 y 2))) (*.f64 t (*.f64 9/2 (/.f64 z a))))
3.0ms
(*.f64 9/2 (/.f64 z a))
6.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))
7.0ms
(/.f64 x (/.f64 a (/.f64 y 2)))

simplify70.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049903853
149903853

prune322.0ms

Filtered
219 candidates to 273 candidates (-24.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2703273
Fresh268
Picked101
Done000
Total2739282

Merged error: 0b

Counts
282 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 (/.f64 y a) (/.f64 x 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
0.2b
(*.f64 9/2 (/.f64 z a))
4.4b
(*.f64 t (*.f64 9/2 (/.f64 z a)))
6.5b
(*.f64 (/.f64 y a) (/.f64 x 2))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt_binary64
32×times-frac_binary64
30×add-exp-log_binary64 add-cbrt-cube_binary64
27×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64
19×associate-*l*_binary64
13×pow1_binary64 associate-*r/_binary64
11×cbrt-unprod_binary64 prod-exp_binary64
add-log-exp_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-exp_binary64
pow-prod-down_binary64
div-inv_binary64 frac-sub_binary64 associate-*l/_binary64 *-commutative_binary64
frac-times_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 sub-div_binary64 flip--_binary64
Counts
4 → 118
Calls
4 calls:
12.0ms
(-.f64 (*.f64 (/.f64 y a) (/.f64 x 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
7.0ms
(*.f64 9/2 (/.f64 z a))
7.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))
11.0ms
(*.f64 (/.f64 y a) (/.f64 x 2))

series40.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(-.f64 (*.f64 (/.f64 y a) (/.f64 x 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
3.0ms
(*.f64 9/2 (/.f64 z a))
6.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))
7.0ms
(*.f64 (/.f64 y a) (/.f64 x 2))

simplify59.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050351226

prune101.0ms

Filtered
90 candidates to 130 candidates (-44.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1300130
Fresh088
Picked011
Done000
Total1309139

Merged error: 0b

Counts
139 → 9

regimes1.5s

Accuracy

88.3% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 8.2b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
014767
114767

end0.0ms

sample857.0ms

Algorithm
intervals
Results
343.0ms8000×body80valid
144.0ms3202×body80invalid

Profiling

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