Details

Time bar (total: 9.4s)

analyze255.0ms

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

sample44.0ms

Algorithm
intervals
Results
14.0ms148×body160valid
10.0ms53×body320valid
8.0ms275×pre80true
3.0ms55×body80valid
1.0ms19×body80nan

simplify111.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
092824
192824

prune4.0ms

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: 43.7b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
38.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
5×pow1_binary64
4×flip3--_binary64 insert-posit16 flip--_binary64
3×distribute-lft-out--_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64 sqrt-div_binary64
1×associate-/r*_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 74
Calls
4 calls:
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
14.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
12.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

series1.2s

Counts
4 → 12
Calls
4 calls:
259.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
435.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
228.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
280.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
078692
178692
078692
178692
02211
12211
0676357
1676357
0676357
1676357
013
113
0101476
1101476
0101476
1101476
013
113
0728764
1728764
0728764
1728764
02211
12211

simplify122.0ms

Counts
86 → 86
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
049901919
149901919

prune123.0ms

Filtered
64 candidates to 86 candidates (-34.4%)
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New592786
Fresh000
Picked101
Done000
Total602787

Merged error: 40.5b

Counts
87 → 27

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.2b
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
38.2b
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac_binary64
38×*-un-lft-identity_binary64
31×add-sqr-sqrt_binary64
22×add-cube-cbrt_binary64 associate-/l*_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×add-log-exp_binary64
9×difference-of-squares_binary64
8×distribute-lft-out_binary64
6×cbrt-undiv_binary64 div-exp_binary64
5×diff-log_binary64
4×sub-neg_binary64 pow1_binary64 associate-/r/_binary64 insert-posit16
3×flip3--_binary64 div-inv_binary64 flip--_binary64
2×flip3-+_binary64 cbrt-unprod_binary64 div-sub_binary64 prod-exp_binary64 flip-+_binary64
1×associate-/l/_binary64 associate-/r*_binary64 associate--l-_binary64 clear-num_binary64 frac-2neg_binary64 associate--l+_binary64
Counts
4 → 106
Calls
4 calls:
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
21.0ms
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
9.0ms
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b))

series1.9s

Counts
4 → 12
Calls
4 calls:
228.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
226.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
1.2s
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
245.0ms
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0711487
1711487
0711487
1711487
013
113
0355572
1355572
0355572
1355572
013
113
0676357
1676357
0676357
1676357
013
113
0676357
1676357
0676357
1676357
013
113

simplify122.0ms

Counts
118 → 118
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049924738
149924738

prune231.0ms

Filtered
87 candidates to 118 candidates (-35.6%)
Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New9622118
Fresh101626
Picked101
Done000
Total10738145

Merged error: 39.8b

Counts
145 → 38

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.5b
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.8b
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3)
37.2b
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3) (pow.f64 b 6))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
17×pow1_binary64
14×*-un-lft-identity_binary64
12×add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64
10×unpow-prod-down_binary64
9×flip3--_binary64 flip--_binary64
8×sqr-pow_binary64
6×add-log-exp_binary64 associate-*r*_binary64 cube-prod_binary64
5×sub-neg_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r/_binary64 associate-*l*_binary64 prod-exp_binary64 insert-posit16 frac-times_binary64
3×pow-unpow_binary64 swap-sqr_binary64
2×distribute-lft-in_binary64 distribute-rgt-in_binary64 cube-div_binary64 unswap-sqr_binary64 associate-*l/_binary64 *-commutative_binary64
1×pow-to-exp_binary64 diff-log_binary64 pow-prod-up_binary64 pow-pow_binary64 pow-plus_binary64 rem-cube-cbrt_binary64 distribute-lft-out--_binary64 pow-sqr_binary64 pow-exp_binary64 pow2_binary64 unpow3_binary64 cube-mult_binary64
Counts
4 → 111
Calls
4 calls:
14.0ms
(*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
13.0ms
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
7.0ms
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3)
16.0ms
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3) (pow.f64 b 6))

series1.1s

Counts
4 → 12
Calls
4 calls:
264.0ms
(*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
287.0ms
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
272.0ms
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3)
312.0ms
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3) (pow.f64 b 6))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0877661
1877661
0877661
1877661
013
113
0786531
1786531
0786531
1786531
013
113
0817531
1817531
0817531
1817531
013
113
0711683
1711683
0711683
1711683
013
113

simplify81.0ms

Counts
123 → 123
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
056762976

prune364.0ms

Filtered
77 candidates to 123 candidates (-59.7%)
Pruning

42 alts after pruning (42 fresh and 0 done)

PrunedKeptTotal
New10320123
Fresh152237
Picked101
Done000
Total11942161

Merged error: 39.3b

Counts
161 → 42

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.8b
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3)
1.2b
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6)
36.9b
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6) (pow.f64 b 12))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
13×pow1_binary64 add-cube-cbrt_binary64
12×unpow-prod-down_binary64
9×difference-of-squares_binary64
8×flip3--_binary64 sqr-pow_binary64 add-exp-log_binary64 flip--_binary64
7×add-cbrt-cube_binary64
6×pow-unpow_binary64 add-log-exp_binary64
4×insert-posit16 frac-times_binary64
3×sub-neg_binary64 swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64 cube-prod_binary64
2×pow-to-exp_binary64 associate-*r/_binary64 pow-pow_binary64 cube-div_binary64 pow-exp_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 pow-prod-up_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 pow-plus_binary64 unswap-sqr_binary64 rem-cube-cbrt_binary64 prod-exp_binary64 distribute-lft-out--_binary64 pow-sqr_binary64 pow2_binary64 unpow3_binary64 *-commutative_binary64 cube-mult_binary64
Counts
4 → 102
Calls
4 calls:
13.0ms
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
7.0ms
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3)
7.0ms
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6)
13.0ms
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6) (pow.f64 b 12))

series1.2s

Counts
4 → 12
Calls
4 calls:
292.0ms
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
277.0ms
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3)
274.0ms
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6)
310.0ms
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6) (pow.f64 b 12))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0878661
1878661
0878661
1878661
013
113
0787531
1787531
0787531
1787531
013
113
0786531
1786531
0786531
1786531
013
113
0817531
1817531
0817531
1817531
013
113

simplify74.0ms

Counts
114 → 114
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
054812713

prune288.0ms

Filtered
70 candidates to 114 candidates (-62.9%)
Pruning

55 alts after pruning (55 fresh and 0 done)

PrunedKeptTotal
New9519114
Fresh53641
Picked101
Done000
Total10155156

Merged error: 39.0b

Counts
156 → 55

regimes699.0ms

Accuracy

0% (3.3b remaining)

Error of 42.2b against oracle of 39.0b and baseline of 42.2b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
092147
192147

end0.0ms

sample1.2s

Algorithm
intervals
Results
447.0ms4779×body160valid
251.0ms8859×pre80true
192.0ms1396×body320valid
89.0ms1825×body80valid
39.0ms859×body80nan

Profiling

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