Details

Time bar (total: 4.4s)

analyze942.0ms

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

sample48.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
11.0ms153×body80invalid

simplify458.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

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: 9.5b

Counts
2 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

2.3b
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
6.1b
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
6.3b
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
10.0b
(*.f64 r (*.f64 w w))

rewrite63.0ms

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)))
21.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
13.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
9.0ms
(*.f64 r (*.f64 w w))

series79.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
23.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
24.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
17.0ms
(*.f64 r (*.f64 w w))

simplify50.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
049712755
149712755

prune183.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1836189
Fresh101
Picked101
Done000
Total1856191

Merged error: 4.1b

Counts
191 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.f64 2 (*.f64 r r))
2.3b
(/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))
6.1b
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
6.3b
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w)))

rewrite57.0ms

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))
9.0ms
(/.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:
3.0ms
(/.f64 2 (*.f64 r r))
14.0ms
(/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))
27.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
16.0ms
(/.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

prune218.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New18110191
Fresh325
Picked101
Done000
Total18512197

Merged error: 0.0b

Counts
197 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
0.4b
(/.f64 2 (*.f64 r r))
5.6b
(/.f64 r (/.f64 (-.f64 1 v) w))
6.1b
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (*.f64 (*.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac_binary64
186×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
123×add-cube-cbrt_binary64
72×associate-*r*_binary64
64×add-exp-log_binary64 add-cbrt-cube_binary64
42×difference-of-squares_binary64
26×cbrt-unprod_binary64 prod-exp_binary64
23×associate-/r*_binary64
21×distribute-lft-out--_binary64
18×pow1_binary64
17×cbrt-undiv_binary64 div-exp_binary64
10×div-inv_binary64
9×pow-prod-down_binary64
6×associate-/l*_binary64
5×associate-*r/_binary64
4×add-log-exp_binary64 associate-*l*_binary64
2×flip3-+_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 256
Calls
4 calls:
23.0ms
(*.f64 (*.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
5.0ms
(/.f64 2 (*.f64 r r))
9.0ms
(/.f64 r (/.f64 (-.f64 1 v) w))
20.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (*.f64 (*.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(*.f64 (*.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w)))
3.0ms
(/.f64 2 (*.f64 r r))
10.0ms
(/.f64 r (/.f64 (-.f64 1 v) w))
23.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (*.f64 (*.f64 r w) (/.f64 r (/.f64 (-.f64 1 v) w))))

simplify91.0ms

Algorithm
egg-herbie
Counts
268 → 268
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049763668
149763668

prune234.0ms

Filtered
178 candidates to 268 candidates (-50.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2671268
Fresh11011
Picked011
Done000
Total26812280

Merged error: 0.0b

Counts
280 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 r w) w)
0.4b
(/.f64 2 (*.f64 r r))
0.6b
(/.f64 1 (*.f64 (*.f64 r w) w))
7.5b
(/.f64 r (/.f64 1 (*.f64 (*.f64 r w) w)))

rewrite31.0ms

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:
5.0ms
(*.f64 (*.f64 r w) w)
5.0ms
(/.f64 2 (*.f64 r r))
7.0ms
(/.f64 1 (*.f64 (*.f64 r w) w))
9.0ms
(/.f64 r (/.f64 1 (*.f64 (*.f64 r w) w)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(*.f64 (*.f64 r w) w)
3.0ms
(/.f64 2 (*.f64 r r))
6.0ms
(/.f64 1 (*.f64 (*.f64 r w) w))
8.0ms
(/.f64 r (/.f64 1 (*.f64 (*.f64 r w) w)))

simplify56.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049561081
149561081

prune77.0ms

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

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1391140
Fresh1910
Picked011
Done011
Total14012152

Merged error: 0.0b

Counts
152 → 12

regimes257.0ms

Accuracy

0% (0.3b 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
09123
19123

end0.0ms

sample1.2s

Algorithm
intervals
Results
551.0ms8000×body80valid
336.0ms4872×body80invalid

Profiling

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