Details

Time bar (total: 3.4s)

analyze265.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample42.0ms

Algorithm
intervals
Results
16.0ms140×body160valid
8.0ms283×pre80true
6.0ms116×body80valid
1.0ms27×body80nan

simplify222.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (220.0ms)

IterNodesCost
0178416
1178416

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 27.5b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))
0.3b
(*.f64 (*.f64 3.0 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b) (*.f64 3.0 a))
27.4b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64
4×cbrt-unprod_binary64 prod-exp_binary64
3×pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 distribute-lft-out--_binary64 flip--_binary64 sqrt-prod_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
7.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))
5.0ms
(*.f64 (*.f64 3.0 a) c)
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b) (*.f64 3.0 a))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)

series49.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))
4.0ms
(*.f64 (*.f64 3.0 a) c)
22.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b) (*.f64 3.0 a))
15.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3.0 a) c))) b)

simplify41.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049791189
149791189

prune148.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New661985
Fresh000
Picked101
Done000
Total671986

Merged error: 9.2b

Counts
86 → 19

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune55.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01818
Picked011
Done000
Total01919

Merged error: 9.2b

Counts
19 → 19

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 1.5 (/.f64 (*.f64 a c) b))
0.4b
(/.f64 (neg.f64 (*.f64 1.5 (/.f64 (*.f64 a c) b))) (*.f64 3.0 a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64 add-cbrt-cube_binary64
12×add-sqr-sqrt_binary64 times-frac_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*r*_binary64 associate-/l*_binary64
6×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
5×pow1_binary64
4×associate-/r*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
2×associate-*r/_binary64 neg-mul-1_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 neg-sub0_binary64 distribute-neg-frac_binary64 unswap-sqr_binary64 div-sub_binary64 distribute-frac-neg_binary64 *-commutative_binary64
Counts
3 → 78
Calls
3 calls:
5.0ms
(/.f64 (*.f64 a c) b)
7.0ms
(*.f64 1.5 (/.f64 (*.f64 a c) b))
7.0ms
(/.f64 (neg.f64 (*.f64 1.5 (/.f64 (*.f64 a c) b))) (*.f64 3.0 a))

series19.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/.f64 (*.f64 a c) b)
7.0ms
(*.f64 1.5 (/.f64 (*.f64 a c) b))
6.0ms
(/.f64 (neg.f64 (*.f64 1.5 (/.f64 (*.f64 a c) b))) (*.f64 3.0 a))

simplify54.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05059709

prune167.0ms

Filtered
60 candidates to 87 candidates (-45.0%)
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New711687
Fresh01717
Picked101
Done011
Total7234106

Merged error: 9.0b

Counts
106 → 34

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(/.f64 -1 (*.f64 3.0 (/.f64 (/.f64 b c) 1.5)))
0.3b
(/.f64 (/.f64 b c) 1.5)
0.3b
(*.f64 3.0 (/.f64 (/.f64 b c) 1.5))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac_binary64
92×add-sqr-sqrt_binary64
83×*-un-lft-identity_binary64 add-cube-cbrt_binary64
43×associate-*r*_binary64
31×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/l*_binary64
13×cbrt-undiv_binary64 div-exp_binary64
10×div-inv_binary64
6×cbrt-unprod_binary64 prod-exp_binary64
5×pow1_binary64
4×associate-/r*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 unswap-sqr_binary64
2×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 associate-/r/_binary64 *-commutative_binary64
Counts
3 → 161
Calls
3 calls:
11.0ms
(/.f64 -1 (*.f64 3.0 (/.f64 (/.f64 b c) 1.5)))
6.0ms
(/.f64 (/.f64 b c) 1.5)
14.0ms
(*.f64 3.0 (/.f64 (/.f64 b c) 1.5))

series12.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/.f64 -1 (*.f64 3.0 (/.f64 (/.f64 b c) 1.5)))
4.0ms
(/.f64 (/.f64 b c) 1.5)
4.0ms
(*.f64 3.0 (/.f64 (/.f64 b c) 1.5))

simplify66.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049811669
149811669

prune148.0ms

Filtered
127 candidates to 170 candidates (-33.9%)
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New15812170
Fresh72532
Picked101
Done011
Total16638204

Merged error: 9.0b

Counts
204 → 38

regimes826.0ms

Accuracy

46.5% (7.4b remaining)

Error of 16.4b against oracle of 8.9b and baseline of 22.9b

bsearch11.0ms

Steps
ItersRangePoint
3
311.9927040673138
395.61572319468746
348.5777749355397

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010440
110440

end0.0ms

sample1.1s

Algorithm
intervals
Results
416.0ms4461×body160valid
271.0ms9009×pre80true
179.0ms3539×body80valid
49.0ms1009×body80nan

Profiling

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