Details

Time bar (total: 4.9s)

analyze257.0ms

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
16.0ms152×body160valid
8.0ms290×pre80true
7.0ms48×body320valid
3.0ms56×body80valid
2.0ms34×body80nan

simplify110.0ms

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: 44.4b

Counts
2 → 1

localize12.0ms

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 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))
39.0b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

rewrite41.0ms

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:
6.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
6.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
16.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
11.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

series216.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
52.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
55.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
56.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0679
1679
0679
1679
013
113
0779
1779
0779
1779
013
113
0429
1429
0429
1429
013
113
0459
1459
0459
1459
013
113

simplify119.0ms

Counts
86 → 86
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
049711903
149711903

prune134.0ms

Filtered
62 candidates to 86 candidates (-38.7%)
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New592786
Fresh000
Picked101
Done000
Total602787

Merged error: 41.0b

Counts
87 → 27

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.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))
0.2b
(/.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)))))
38.6b
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
70×times-frac_binary64
58×*-un-lft-identity_binary64
46×add-sqr-sqrt_binary64
32×add-cube-cbrt_binary64
26×associate-/l*_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
14×difference-of-squares_binary64
13×distribute-lft-out_binary64
11×add-log-exp_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-/r/_binary64
5×associate-/r*_binary64
4×pow1_binary64 diff-log_binary64 div-inv_binary64 insert-posit16
3×flip3-+_binary64 associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 div-sub_binary64 flip--_binary64 flip-+_binary64
2×cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64
1×associate--l-_binary64 associate--l+_binary64
Counts
4 → 136
Calls
4 calls:
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
24.0ms
(/.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))
18.0ms
(/.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)))))
9.0ms
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b))

series217.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
56.0ms
(/.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))
56.0ms
(/.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)))))
53.0ms
(-.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (*.f64 b b))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0549
1549
0549
1549
013
113
0789
1789
0789
1789
013
113
0949
1949
0949
1949
013
113
0429
1429
0429
1429
013
113

simplify102.0ms

Counts
148 → 148
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049816865
149816865

prune277.0ms

Filtered
108 candidates to 148 candidates (-37.0%)
Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New13117148
Fresh52126
Picked101
Done000
Total13738175

Merged error: 40.2b

Counts
175 → 38

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.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)))
0.7b
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3)
37.9b
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3) (pow.f64 b 6))

rewrite55.0ms

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:
12.0ms
(*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
14.0ms
(*.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)
17.0ms
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3) (pow.f64 b 6))

series209.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
52.0ms
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
51.0ms
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3)
55.0ms
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3) (pow.f64 b 6))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0629
1629
0629
1629
013
113
0469
1469
0469
1469
013
113
0489
1489
0489
1489
013
113
0459
1459
0459
1459
013
113

simplify81.0ms

Counts
123 → 123
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
056762976

prune362.0ms

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

39 alts after pruning (39 fresh and 0 done)

PrunedKeptTotal
New10518123
Fresh162137
Picked101
Done000
Total12239161

Merged error: 39.8b

Counts
161 → 39

localize37.0ms

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)))
0.7b
(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)
37.5b
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6) (pow.f64 b 12))

rewrite45.0ms

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:
14.0ms
(*.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)
14.0ms
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6) (pow.f64 b 12))

series212.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(*.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
53.0ms
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 3)
52.0ms
(pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6)
53.0ms
(-.f64 (pow.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)) 6) (pow.f64 b 12))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0629
1629
0629
1629
013
113
0469
1469
0469
1469
013
113
0469
1469
0469
1469
013
113
0489
1489
0489
1489
013
113

simplify74.0ms

Counts
114 → 114
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
054812713

prune298.0ms

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

48 alts after pruning (48 fresh and 0 done)

PrunedKeptTotal
New9915114
Fresh53338
Picked101
Done000
Total10548153

Merged error: 39.6b

Counts
153 → 48

regimes614.0ms

Accuracy

0% (3.4b remaining)

Error of 42.7b against oracle of 39.3b and baseline of 42.7b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0110168
1110168

end0.0ms

sample1.2s

Algorithm
intervals
Results
446.0ms4846×body160valid
251.0ms8930×pre80true
189.0ms1373×body320valid
86.0ms1781×body80valid
42.0ms930×body80nan

Profiling

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