Details

Time bar (total: 1.0s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
073911
173911

prune5.0ms

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: 0.1b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 3.0 x) 4.0)
0.1b
(*.f64 x (-.f64 (*.f64 3.0 x) 4.0))
0.1b
(*.f64 3.0 (+.f64 (*.f64 x (-.f64 (*.f64 3.0 x) 4.0)) 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
7×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
6×associate-*r*_binary64 associate-*l*_binary64
5×add-log-exp_binary64
4×associate-*r/_binary64
3×sub-neg_binary64
2×pow-prod-down_binary64 flip3--_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 *-commutative_binary64
1×flip3-+_binary64 diff-log_binary64 flip-+_binary64
Counts
3 → 55
Calls
3 calls:
4.0ms
(-.f64 (*.f64 3.0 x) 4.0)
7.0ms
(*.f64 x (-.f64 (*.f64 3.0 x) 4.0))
11.0ms
(*.f64 3.0 (+.f64 (*.f64 x (-.f64 (*.f64 3.0 x) 4.0)) 1.0))

series16.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(-.f64 (*.f64 3.0 x) 4.0)
7.0ms
(*.f64 x (-.f64 (*.f64 3.0 x) 4.0))
4.0ms
(*.f64 3.0 (+.f64 (*.f64 x (-.f64 (*.f64 3.0 x) 4.0)) 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04964647
14964647

prune70.0ms

Filtered
43 candidates to 64 candidates (-48.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh000
Picked101
Done000
Total61465

Merged error: 0b

Counts
65 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x 9.0) 12.0)
0.1b
(*.f64 x (-.f64 (*.f64 x 9.0) 12.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64
4×*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×sub-neg_binary64 associate-*r*_binary64 associate-*l*_binary64
2×flip3--_binary64 associate-*r/_binary64 flip--_binary64
1×pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
2 → 33
Calls
2 calls:
4.0ms
(-.f64 (*.f64 x 9.0) 12.0)
7.0ms
(*.f64 x (-.f64 (*.f64 x 9.0) 12.0))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(-.f64 (*.f64 x 9.0) 12.0)
7.0ms
(*.f64 x (-.f64 (*.f64 x 9.0) 12.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04943329
14943329

prune38.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39039
Fresh033
Picked011
Done000
Total39443

Merged error: 0b

Counts
43 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 3.0 x) 4.0)
0.1b
(*.f64 x (-.f64 (*.f64 3.0 x) 4.0))
0.1b
(*.f64 3.0 (*.f64 x (-.f64 (*.f64 3.0 x) 4.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
8×add-sqr-sqrt_binary64
7×sub-neg_binary64
6×*-un-lft-identity_binary64 associate-*r/_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
5×add-log-exp_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
3×flip3--_binary64 flip--_binary64
2×*-commutative_binary64
1×diff-log_binary64 unswap-sqr_binary64
Counts
3 → 57
Calls
3 calls:
4.0ms
(-.f64 (*.f64 3.0 x) 4.0)
7.0ms
(*.f64 x (-.f64 (*.f64 3.0 x) 4.0))
9.0ms
(*.f64 3.0 (*.f64 x (-.f64 (*.f64 3.0 x) 4.0)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(-.f64 (*.f64 3.0 x) 4.0)
8.0ms
(*.f64 x (-.f64 (*.f64 3.0 x) 4.0))
10.0ms
(*.f64 3.0 (*.f64 x (-.f64 (*.f64 3.0 x) 4.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05088590

prune55.0ms

Filtered
41 candidates to 66 candidates (-61.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done011
Total66470

Merged error: 0b

Counts
70 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 3.0 (*.f64 x x)) (*.f64 x (neg.f64 4.0)))
0.1b
(*.f64 3.0 (+.f64 (+.f64 (*.f64 3.0 (*.f64 x x)) (*.f64 x (neg.f64 4.0))) 1.0))
0.2b
(*.f64 3.0 (*.f64 x x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
9×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64 associate-*l*_binary64
5×add-log-exp_binary64 associate-*r*_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
2×flip3-+_binary64 associate-*r/_binary64 unswap-sqr_binary64 flip-+_binary64 *-commutative_binary64
1×distribute-rgt-neg-out_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 +-commutative_binary64 unsub-neg_binary64 sum-log_binary64
Counts
3 → 54
Calls
3 calls:
6.0ms
(+.f64 (*.f64 3.0 (*.f64 x x)) (*.f64 x (neg.f64 4.0)))
11.0ms
(*.f64 3.0 (+.f64 (+.f64 (*.f64 3.0 (*.f64 x x)) (*.f64 x (neg.f64 4.0))) 1.0))
6.0ms
(*.f64 3.0 (*.f64 x x))

series17.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+.f64 (*.f64 3.0 (*.f64 x x)) (*.f64 x (neg.f64 4.0)))
4.0ms
(*.f64 3.0 (+.f64 (+.f64 (*.f64 3.0 (*.f64 x x)) (*.f64 x (neg.f64 4.0))) 1.0))
4.0ms
(*.f64 3.0 (*.f64 x x))

simplify58.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04966597
14966597

prune53.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh011
Picked011
Done022
Total63467

Merged error: 0b

Counts
67 → 4

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1219

end0.0ms

sample330.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid
0.0ms3×body80invalid

Profiling

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