Details

Time bar (total: 1.3s)

analyze34.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
048899
148899

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

15.0b
(/.f64 (*.f64 (*.f64 x 2.0) y) (-.f64 x y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
7×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
5×associate-/r*_binary64 times-frac_binary64
3×cbrt-unprod_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 prod-exp_binary64 div-exp_binary64
2×associate-/r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
1×add-log-exp_binary64 pow1_binary64 flip3--_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
Counts
1 → 29
Calls
1 calls:
9.0ms
(/.f64 (*.f64 (*.f64 x 2.0) y) (-.f64 x y))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/.f64 (*.f64 (*.f64 x 2.0) y) (-.f64 x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
06261313

prune40.0ms

Filtered
22 candidates to 32 candidates (-45.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 0.0b

Counts
33 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 x y))
6.3b
(*.f64 (*.f64 x 2.0) (/.f64 y (-.f64 x y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
30×times-frac_binary64
21×associate-*r*_binary64 add-cube-cbrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
7×pow1_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
6×cbrt-unprod_binary64 prod-exp_binary64
5×associate-/r*_binary64
4×associate-/r/_binary64
3×pow-prod-down_binary64 cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
2×add-log-exp_binary64 flip3--_binary64 div-inv_binary64 flip--_binary64
1×associate-*r/_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
2 → 78
Calls
2 calls:
5.0ms
(/.f64 y (-.f64 x y))
11.0ms
(*.f64 (*.f64 x 2.0) (/.f64 y (-.f64 x y)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/.f64 y (-.f64 x y))
10.0ms
(*.f64 (*.f64 x 2.0) (/.f64 y (-.f64 x y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04947755
14947755

prune83.0ms

Filtered
55 candidates to 84 candidates (-52.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh033
Picked011
Done011
Total83689

Merged error: 0.0b

Counts
89 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 x y))
0.2b
(*.f64 y (/.f64 1 (-.f64 x y)))
6.3b
(*.f64 (*.f64 x 2.0) (*.f64 y (/.f64 1 (-.f64 x y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log_binary64
44×add-sqr-sqrt_binary64
38×*-un-lft-identity_binary64
32×times-frac_binary64
31×add-cbrt-cube_binary64
27×prod-exp_binary64
23×add-cube-cbrt_binary64
22×associate-*r*_binary64
18×pow1_binary64
15×cbrt-unprod_binary64
9×pow-prod-down_binary64
8×div-exp_binary64
7×difference-of-squares_binary64 distribute-lft-out--_binary64
5×associate-/r*_binary64
4×1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 associate-/r/_binary64 associate-*l*_binary64 rec-exp_binary64
3×add-log-exp_binary64 unswap-sqr_binary64 associate-/l*_binary64
2×flip3--_binary64 un-div-inv_binary64 div-inv_binary64 flip--_binary64 *-commutative_binary64
1×clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 pow-flip_binary64
Counts
3 → 117
Calls
3 calls:
6.0ms
(/.f64 1 (-.f64 x y))
10.0ms
(*.f64 y (/.f64 1 (-.f64 x y)))
11.0ms
(*.f64 (*.f64 x 2.0) (*.f64 y (/.f64 1 (-.f64 x y))))

series21.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/.f64 1 (-.f64 x y))
6.0ms
(*.f64 y (/.f64 1 (-.f64 x y)))
10.0ms
(*.f64 (*.f64 x 2.0) (*.f64 y (/.f64 1 (-.f64 x y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
06564953

prune70.0ms

Filtered
65 candidates to 126 candidates (-93.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh033
Picked011
Done022
Total1266132

Merged error: 0.0b

Counts
132 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) y)
7.1b
(/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac_binary64
50×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
30×add-cube-cbrt_binary64
22×associate-/r*_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
10×difference-of-squares_binary64 distribute-lft-out--_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-/l*_binary64
4×div-inv_binary64
2×associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64
1×flip3--_binary64 associate-/r/_binary64 div-sub_binary64 flip--_binary64
Counts
2 → 96
Calls
2 calls:
6.0ms
(/.f64 (-.f64 x y) y)
9.0ms
(/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/.f64 (-.f64 x y) y)
10.0ms
(/.f64 (*.f64 x 2.0) (/.f64 (-.f64 x y) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
067271059

prune67.0ms

Filtered
70 candidates to 102 candidates (-45.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh202
Picked011
Done213
Total1053108

Merged error: 0b

Counts
108 → 3

regimes85.0ms

Accuracy

97.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.6b

bsearch22.0ms

Steps
ItersRangePoint
8
4.8791504961002875e-61
7.466339888104048e-57
7.327974932373526e-57
9
-2253564783372542.5
-527931757.2020805
-270744910897807.88

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03227
13227

end0.0ms

sample337.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid

Profiling

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