Details

Time bar (total: 3.6s)

analyze269.0ms

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

sample36.0ms

Algorithm
intervals
Results
13.0ms146×body160valid
7.0ms279×pre80true
5.0ms110×body80valid
1.0ms23×body80nan

simplify196.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (179.0ms)

IterNodesCost
0507124

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: 27.9b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 3 a) c)
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
27.8b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite38.0ms

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 insert-posit16
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 → 77
Calls
4 calls:
6.0ms
(*.f64 (*.f64 3 a) c)
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
14.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
10.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series211.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(*.f64 (*.f64 3 a) c)
52.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
54.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
54.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0679
1679
0679
1679
013
113
0749
1749
0749
1749
013
113
0429
1429
0429
1429
013
113
0819
1819
0819
1819
013
113

simplify116.0ms

Counts
89 → 89
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
050581736

prune77.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86389
Fresh000
Picked101
Done000
Total87390

Merged error: 0.4b

Counts
90 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
0.3b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 3 a))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac_binary64
51×*-un-lft-identity_binary64
29×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
21×associate-/l*_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
11×distribute-lft-out_binary64
8×add-log-exp_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-/r/_binary64
5×associate-/r*_binary64
4×flip3-+_binary64 pow1_binary64 div-inv_binary64 insert-posit16 flip-+_binary64
3×associate-/l/_binary64 div-sub_binary64
2×flip3--_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 flip--_binary64
1×sub-neg_binary64 diff-log_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 120
Calls
4 calls:
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
16.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
21.0ms
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 3 a))

series219.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
52.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
55.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
59.0ms
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 3 a))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0919
1919
0919
1919
013
113
0789
1789
0789
1789
013
113
0429
1429
0429
1429
013
113
0599
1599
0599
1599
013
113

simplify88.0ms

Counts
132 → 132
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050284331

prune189.0ms

Filtered
97 candidates to 132 candidates (-36.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1248132
Fresh202
Picked101
Done000
Total1278135

Merged error: 0b

Counts
135 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
0.3b
(*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log_binary64 add-cbrt-cube_binary64
11×*-un-lft-identity_binary64
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×cbrt-unprod_binary64 prod-exp_binary64
4×associate-*r*_binary64 associate-*r/_binary64 insert-posit16
3×pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64 flip-+_binary64
2×associate-/l/_binary64 flip3--_binary64 distribute-lft-out_binary64 associate-/r/_binary64 flip--_binary64
1×associate-/r*_binary64 sub-neg_binary64 diff-log_binary64 distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 78
Calls
4 calls:
8.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
23.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
13.0ms
(*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
53.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
56.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
53.0ms
(*.f64 (*.f64 3 a) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0629
1629
0629
1629
013
113
0779
1779
0779
1779
013
113
0429
1429
0429
1429
013
113
0599
1599
0599
1599
013
113

simplify74.0ms

Counts
90 → 90
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051242054

prune109.0ms

Filtered
63 candidates to 90 candidates (-42.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh167
Picked011
Done000
Total90898

Merged error: 0b

Counts
98 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 3 a) c)
0.2b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
0.2b
(/.f64 1 (*.f64 1 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (neg.f64 c))))
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log_binary64
18×add-cbrt-cube_binary64
16×div-exp_binary64
15×prod-exp_binary64
12×pow1_binary64
11×1-exp_binary64
9×*-un-lft-identity_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
5×cbrt-unprod_binary64 rec-exp_binary64
4×pow-prod-down_binary64 cbrt-undiv_binary64 insert-posit16
3×associate-*r*_binary64 associate-/l*_binary64 times-frac_binary64
2×pow-flip_binary64
1×flip3-+_binary64 associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 distribute-lft-out_binary64 associate-*r/_binary64 associate-/r/_binary64 associate-*l*_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 84
Calls
4 calls:
6.0ms
(*.f64 (*.f64 3 a) c)
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
17.0ms
(/.f64 1 (*.f64 1 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (neg.f64 c))))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series215.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(*.f64 (*.f64 3 a) c)
53.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
56.0ms
(/.f64 1 (*.f64 1 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (neg.f64 c))))
55.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0429
1429
0429
1429
013
113
0939
1939
0939
1939
013
113
0599
1599
0599
1599
013
113
0819
1819
0819
1819
013
113

simplify118.0ms

Counts
96 → 96
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
054671649

prune64.0ms

Filtered
54 candidates to 96 candidates (-77.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh066
Picked011
Done011
Total968104

Merged error: 0b

Counts
104 → 8

regimes99.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06226
16226

end0.0ms

sample1.1s

Algorithm
intervals
Results
413.0ms4478×body160valid
250.0ms8947×pre80true
175.0ms3522×body80valid
45.0ms947×body80nan

Profiling

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