Details

Time bar (total: 4.3s)

analyze937.0ms

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
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
0%96.7%3.3%9
16.4%74.9%8.7%10
17.6%71.8%10.7%11
26.3%59.5%14.2%12
30.7%45.7%23.5%13
31.7%43.5%24.7%14

sample47.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
12.0ms176×body80invalid

simplify466.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0548625

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

1.1b
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
3.6b
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
7.5b
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
9.7b
(*.f64 r (*.f64 w w))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
109×times-frac_binary64
77×add-sqr-sqrt_binary64
71×*-un-lft-identity_binary64
52×add-exp-log_binary64 add-cbrt-cube_binary64
44×add-cube-cbrt_binary64
36×associate-*r*_binary64
18×difference-of-squares_binary64
17×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
11×associate-/r*_binary64 pow1_binary64
10×div-inv_binary64
9×associate-/l*_binary64 distribute-lft-out--_binary64
6×associate-*l*_binary64
4×pow-prod-down_binary64 add-log-exp_binary64
3×unswap-sqr_binary64
2×flip3-+_binary64 associate-/l/_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
1×flip3--_binary64 associate-*r/_binary64 div-sub_binary64 flip--_binary64
Counts
4 → 177
Calls
4 calls:
10.0ms
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
22.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
28.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
8.0ms
(*.f64 r (*.f64 w w))

series78.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
28.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
18.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
17.0ms
(*.f64 r (*.f64 w w))

simplify48.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049712755
149712755

prune210.0ms

Filtered
130 candidates to 189 candidates (-45.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1818189
Fresh101
Picked101
Done000
Total1838191

Merged error: 3.6b

Counts
191 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.f64 2 (*.f64 r r))
1.1b
(/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))
3.6b
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
7.5b
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac_binary64
77×add-sqr-sqrt_binary64
72×*-un-lft-identity_binary64
52×add-exp-log_binary64 add-cbrt-cube_binary64
45×add-cube-cbrt_binary64
35×associate-*r*_binary64
19×cbrt-undiv_binary64 div-exp_binary64
18×difference-of-squares_binary64
15×cbrt-unprod_binary64 prod-exp_binary64
12×associate-/r*_binary64 associate-/l*_binary64
11×div-inv_binary64
9×distribute-lft-out--_binary64
6×pow1_binary64
4×add-log-exp_binary64
3×associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64
2×flip3-+_binary64 associate-/l/_binary64 associate-/r/_binary64 unswap-sqr_binary64 flip-+_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 flip3--_binary64 associate-*r/_binary64 div-sub_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 179
Calls
4 calls:
5.0ms
(/.f64 2 (*.f64 r r))
10.0ms
(/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))
21.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
12.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/.f64 2 (*.f64 r r))
14.0ms
(/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))
23.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
20.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w)))

simplify51.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
055162821

prune214.0ms

Filtered
137 candidates to 191 candidates (-39.4%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New18110191
Fresh347
Picked101
Done000
Total18514199

Merged error: 0.0b

Counts
199 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.f64 1 (*.f64 (*.f64 r w) w))
0.2b
(*.f64 (*.f64 r w) w)
0.7b
(/.f64 2 (*.f64 r r))
6.5b
(/.f64 r (/.f64 1 (*.f64 (*.f64 r w) w)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log_binary64
39×times-frac_binary64
37×add-cbrt-cube_binary64
25×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
24×div-exp_binary64
22×prod-exp_binary64
15×pow1_binary64
12×cbrt-undiv_binary64
10×cbrt-unprod_binary64
9×associate-/r*_binary64 associate-/l*_binary64
7×div-inv_binary64
6×pow-prod-down_binary64 1-exp_binary64 rec-exp_binary64
4×add-log-exp_binary64
3×associate-*r*_binary64 clear-num_binary64 frac-2neg_binary64 pow-flip_binary64
1×associate-/r/_binary64 associate-*l*_binary64 inv-pow_binary64 *-commutative_binary64
Counts
4 → 128
Calls
4 calls:
8.0ms
(/.f64 1 (*.f64 (*.f64 r w) w))
6.0ms
(*.f64 (*.f64 r w) w)
5.0ms
(/.f64 2 (*.f64 r r))
9.0ms
(/.f64 r (/.f64 1 (*.f64 (*.f64 r w) w)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/.f64 1 (*.f64 (*.f64 r w) w))
8.0ms
(*.f64 (*.f64 r w) w)
3.0ms
(/.f64 2 (*.f64 r r))
8.0ms
(/.f64 r (/.f64 1 (*.f64 (*.f64 r w) w)))

simplify58.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049561081
149561081

prune113.0ms

Filtered
77 candidates to 140 candidates (-81.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1382140
Fresh31013
Picked101
Done000
Total14212154

Merged error: 0.0b

Counts
154 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 3/8 (*.f64 v -1/4)) (-.f64 1 v))
0.1b
(*.f64 (/.f64 (+.f64 3/8 (*.f64 v -1/4)) (-.f64 1 v)) (pow.f64 (*.f64 r w) 2))
0.3b
(pow.f64 (*.f64 r w) 2)
0.7b
(/.f64 2 (*.f64 r r))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt_binary64
50×*-un-lft-identity_binary64
42×times-frac_binary64
34×add-exp-log_binary64
29×add-cube-cbrt_binary64
24×associate-*l*_binary64
16×add-cbrt-cube_binary64
14×difference-of-squares_binary64
12×prod-exp_binary64
7×associate-/r*_binary64 pow1_binary64 distribute-lft-out--_binary64 div-exp_binary64
6×associate-*r*_binary64 unswap-sqr_binary64 associate-/l*_binary64 pow-exp_binary64
4×add-log-exp_binary64 unpow2_binary64 cbrt-undiv_binary64 sqr-pow_binary64 associate-/r/_binary64
3×pow-to-exp_binary64 pow-unpow_binary64 cbrt-unprod_binary64 div-inv_binary64
2×associate-/l/_binary64 flip3--_binary64 pow-pow_binary64 clear-num_binary64 unpow-prod-down_binary64 frac-2neg_binary64 flip--_binary64
1×pow-prod-down_binary64 flip3-+_binary64 flip-+_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 137
Calls
4 calls:
11.0ms
(/.f64 (+.f64 3/8 (*.f64 v -1/4)) (-.f64 1 v))
15.0ms
(*.f64 (/.f64 (+.f64 3/8 (*.f64 v -1/4)) (-.f64 1 v)) (pow.f64 (*.f64 r w) 2))
4.0ms
(pow.f64 (*.f64 r w) 2)
6.0ms
(/.f64 2 (*.f64 r r))

series35.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/.f64 (+.f64 3/8 (*.f64 v -1/4)) (-.f64 1 v))
23.0ms
(*.f64 (/.f64 (+.f64 3/8 (*.f64 v -1/4)) (-.f64 1 v)) (pow.f64 (*.f64 r w) 2))
5.0ms
(pow.f64 (*.f64 r w) 2)
3.0ms
(/.f64 2 (*.f64 r r))

simplify66.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049461920
149461920

prune131.0ms

Filtered
100 candidates to 149 candidates (-49.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1445149
Fresh5611
Picked101
Done000
Total15011161

Merged error: 0b

Counts
161 → 11

regimes259.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05241
15241

end0.0ms

sample1.2s

Algorithm
intervals
Results
570.0ms8000×body80valid
334.0ms4767×body80invalid

Profiling

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