Details

Time bar (total: 3.1s)

analyze281.0ms

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

sample40.0ms

Algorithm
intervals
Results
15.0ms149×body160valid
8.0ms287×pre80true
6.0ms107×body80valid
2.0ms31×body80nan

simplify316.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (306.0ms)

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: 28.6b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
28.4b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite32.0ms

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:
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
5.0ms
(*.f64 (*.f64 3 a) c)
12.0ms
(/.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)

series215.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
14.0ms
(*.f64 (*.f64 3 a) c)
107.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
61.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049291807
149291807

prune106.0ms

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: 9.7b

Counts
86 → 17

localize4.0ms

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: 9.7b

Counts
17 → 17

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/.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))

rewrite26.0ms

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:
6.0ms
(/.f64 (*.f64 a c) b)
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
10.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

series65.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/.f64 (*.f64 a c) b)
25.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
21.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify65.0ms

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

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New731487
Fresh01515
Picked101
Done011
Total7430104

Merged error: 9.6b

Counts
104 → 30

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.2b
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) -1/2) a)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log_binary64 add-cbrt-cube_binary64
8×cbrt-undiv_binary64 div-exp_binary64
6×*-un-lft-identity_binary64 associate-/r*_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
5×cbrt-unprod_binary64 prod-exp_binary64
2×add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
1×associate-/l/_binary64 associate-*l/_binary64
Counts
2 → 47
Calls
2 calls:
4.0ms
(/.f64 (*.f64 a c) b)
8.0ms
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) -1/2) a)

series35.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/.f64 (*.f64 a c) b)
17.0ms
(/.f64 (*.f64 (/.f64 (*.f64 a c) b) -1/2) a)

simplify76.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05190520

prune26.0ms

Filtered
32 candidates to 53 candidates (-65.6%)
Pruning

34 alts after pruning (32 fresh and 2 done)

PrunedKeptTotal
New46753
Fresh32528
Picked011
Done011
Total493483

Merged error: 9.6b

Counts
83 → 34

regimes379.0ms

Accuracy

48.4% (7.2b remaining)

Error of 16.2b against oracle of 9.0b and baseline of 22.9b

bsearch13.0ms

Steps
ItersRangePoint
3
184.50590944566784
232.3280618594967
217.38363923017516

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08358
18358

end0.0ms

sample1.2s

Algorithm
intervals
Results
461.0ms4430×body160valid
257.0ms8970×pre80true
188.0ms3570×body80valid
53.0ms970×body80nan

Profiling

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