Details

Time bar (total: 14.5s)

analyze907.0ms

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

sample53.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
10.0ms140×body80invalid

simplify581.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
0493537
1493537

prune25.0ms

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: 6.5b

Counts
2 → 2

localize40.0ms

Local error

Found 4 expressions with local error:

1.0b
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
4.3b
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
5.3b
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
7.3b
(*.f64 r (*.f64 w w))

rewrite58.0ms

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×flip3--_binary64 unswap-sqr_binary64 flip--_binary64
2×associate-/l/_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
1×associate-*r/_binary64 div-sub_binary64
Counts
4 → 177
Calls
4 calls:
9.0ms
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
20.0ms
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
11.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
8.0ms
(*.f64 r (*.f64 w w))

series205.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
64.0ms
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
55.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
39.0ms
(*.f64 r (*.f64 w w))

simplify84.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
052984089

prune733.0ms

Filtered
131 candidates to 189 candidates (-44.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1818189
Fresh101
Picked101
Done000
Total1838191

Merged error: 2.2b

Counts
191 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.f64 2 (*.f64 r r))
1.0b
(/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))
4.3b
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
5.3b
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w)))

rewrite52.0ms

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×flip3--_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64
2×associate-/l/_binary64 associate-/r/_binary64 unswap-sqr_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 div-sub_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))
20.0ms
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
11.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w)))

series192.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/.f64 2 (*.f64 r r))
50.0ms
(/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))
68.0ms
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
53.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w)))

simplify91.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
059144190

prune791.0ms

Filtered
138 candidates to 191 candidates (-38.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New18110191
Fresh707
Picked101
Done000
Total18910199

Merged error: 0.0b

Counts
199 → 10

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.f64 (-.f64 1 v) (*.f64 r w))
0.7b
(/.f64 2 (*.f64 r r))
4.3b
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 r w)) w)))
5.3b
(/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 r w)) w))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
552×times-frac_binary64
276×add-sqr-sqrt_binary64
267×*-un-lft-identity_binary64
198×add-cube-cbrt_binary64
107×associate-*r*_binary64
48×add-exp-log_binary64 add-cbrt-cube_binary64
46×difference-of-squares_binary64
36×associate-/r*_binary64
32×div-inv_binary64
23×distribute-lft-out--_binary64
22×cbrt-undiv_binary64 div-exp_binary64
12×associate-/l*_binary64
9×cbrt-unprod_binary64 prod-exp_binary64
6×pow1_binary64
4×add-log-exp_binary64
3×flip3--_binary64 associate-*l*_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64
2×associate-/l/_binary64 associate-/r/_binary64 frac-times_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 div-sub_binary64 *-commutative_binary64
Counts
4 → 346
Calls
4 calls:
7.0ms
(/.f64 (-.f64 1 v) (*.f64 r w))
5.0ms
(/.f64 2 (*.f64 r r))
39.0ms
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 r w)) w)))
14.0ms
(/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 r w)) w))

series168.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/.f64 (-.f64 1 v) (*.f64 r w))
20.0ms
(/.f64 2 (*.f64 r r))
73.0ms
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 r w)) w)))
52.0ms
(/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 r w)) w))

simplify136.0ms

Algorithm
egg-herbie
Counts
358 → 358
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0498110011
1498110011

prune1.7s

Filtered
280 candidates to 358 candidates (-27.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3562358
Fresh279
Picked011
Done000
Total35810368

Merged error: 0.0b

Counts
368 → 10

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.f64 1 (*.f64 r w))
0.7b
(/.f64 2 (*.f64 r r))
4.3b
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 (/.f64 1 (*.f64 r w)) w)))
5.3b
(/.f64 (/.f64 r (-.f64 1 v)) (/.f64 (/.f64 1 (*.f64 r w)) w))

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
3602×times-frac_binary64
1683×add-sqr-sqrt_binary64
1665×*-un-lft-identity_binary64
1206×add-cube-cbrt_binary64
605×associate-*r*_binary64
306×difference-of-squares_binary64
251×div-inv_binary64
153×distribute-lft-out--_binary64
127×add-exp-log_binary64
104×associate-/r/_binary64
88×add-cbrt-cube_binary64
68×div-exp_binary64
53×flip3--_binary64 flip--_binary64
48×cbrt-undiv_binary64
30×associate-/l*_binary64
27×associate-/r*_binary64
24×prod-exp_binary64
15×cbrt-unprod_binary64
10×rec-exp_binary64
9×pow1_binary64
5×unswap-sqr_binary64
4×add-log-exp_binary64
3×associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64
2×pow-prod-down_binary64 pow-flip_binary64 frac-times_binary64 associate-*l/_binary64
1×associate-/l/_binary64 associate-*r/_binary64 inv-pow_binary64 *-commutative_binary64
Counts
4 → 1377
Calls
4 calls:
5.0ms
(/.f64 1 (*.f64 r w))
5.0ms
(/.f64 2 (*.f64 r r))
139.0ms
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 (/.f64 1 (*.f64 r w)) w)))
27.0ms
(/.f64 (/.f64 r (-.f64 1 v)) (/.f64 (/.f64 1 (*.f64 r w)) w))

series147.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/.f64 1 (*.f64 r w))
20.0ms
(/.f64 2 (*.f64 r r))
67.0ms
(*.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 (/.f64 r (-.f64 1 v)) (/.f64 (/.f64 1 (*.f64 r w)) w)))
50.0ms
(/.f64 (/.f64 r (-.f64 1 v)) (/.f64 (/.f64 1 (*.f64 r w)) w))

simplify431.0ms

Algorithm
egg-herbie
Counts
1389 → 1389
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0507450654

prune6.0s

Filtered
857 candidates to 1389 candidates (-62.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New138901389
Fresh088
Picked011
Done011
Total1389101399

Merged error: 0.0b

Counts
1399 → 10

regimes399.0ms

Accuracy

0% (2.9b remaining)

Error of 2.9b against oracle of 0.1b and baseline of 2.9b

bsearch0.0ms

simplify11.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
025937
125937

end0.0ms

sample1.3s

Algorithm
intervals
Results
561.0ms8000×body80valid
340.0ms4756×body80invalid

Profiling

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