Details

Time bar (total: 3.5s)

analyze260.0ms

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

sample37.0ms

Algorithm
intervals
Results
12.0ms132×body160valid
8.0ms290×pre80true
6.0ms124×body80valid
2.0ms34×body80nan

simplify309.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (300.0ms)

IterNodesCost
0180324
1180324

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: 26.6b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.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))
26.6b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite31.0ms

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:
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
11.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series226.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(*.f64 (*.f64 3 a) c)
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
109.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
69.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049291807
149291807

prune107.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New681785
Fresh000
Picked101
Done000
Total691786

Merged error: 9.4b

Counts
86 → 17

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify11.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune23.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01616
Picked011
Done000
Total01717

Merged error: 9.4b

Counts
17 → 17

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
16×cbrt-undiv_binary64 div-exp_binary64
10×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*r*_binary64 times-frac_binary64
5×pow1_binary64
4×associate-/r*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
2×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 78
Calls
3 calls:
4.0ms
(/.f64 (*.f64 a c) b)
8.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

series61.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/.f64 (*.f64 a c) b)
22.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
20.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify64.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04943874
14943874

prune80.0ms

Filtered
47 candidates to 87 candidates (-85.1%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New741387
Fresh01515
Picked101
Done101
Total7628104

Merged error: 9.4b

Counts
104 → 28

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/.f64 a (/.f64 b c))
0.3b
(*.f64 -3/2 (/.f64 a (/.f64 b c)))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 a (/.f64 b c))) (*.f64 3 a))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac_binary64
90×add-sqr-sqrt_binary64
81×*-un-lft-identity_binary64 add-cube-cbrt_binary64
49×add-exp-log_binary64 add-cbrt-cube_binary64
44×associate-*r*_binary64
20×cbrt-undiv_binary64 div-exp_binary64
14×associate-/r*_binary64
13×cbrt-unprod_binary64 prod-exp_binary64
10×div-inv_binary64
5×pow1_binary64
4×associate-/l*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 unswap-sqr_binary64
2×associate-*r/_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 *-commutative_binary64
Counts
3 → 166
Calls
3 calls:
6.0ms
(/.f64 a (/.f64 b c))
14.0ms
(*.f64 -3/2 (/.f64 a (/.f64 b c)))
11.0ms
(/.f64 (*.f64 -3/2 (/.f64 a (/.f64 b c))) (*.f64 3 a))

series81.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/.f64 a (/.f64 b c))
30.0ms
(*.f64 -3/2 (/.f64 a (/.f64 b c)))
28.0ms
(/.f64 (*.f64 -3/2 (/.f64 a (/.f64 b c))) (*.f64 3 a))

simplify137.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
049352487
149352487

prune107.0ms

Filtered
122 candidates to 175 candidates (-43.4%)
Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New16114175
Fresh52227
Picked101
Done000
Total16736203

Merged error: 9.3b

Counts
203 → 36

regimes694.0ms

Accuracy

46.4% (7.4b remaining)

Error of 16.5b against oracle of 9.1b and baseline of 22.9b

bsearch3.0ms

Steps
ItersRangePoint
0
11400.584741563553
11779.858761057538
11590.221751310544

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08664
18664

end0.0ms

sample1.1s

Algorithm
intervals
Results
431.0ms4503×body160valid
257.0ms8951×pre80true
175.0ms3497×body80valid
45.0ms951×body80nan

Profiling

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