Details

Time bar (total: 7.4s)

analyze1.1s

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

sample49.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
12.0ms163×body80invalid

simplify443.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0548625

prune21.0ms

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: 9.4b

Counts
2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

1.8b
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
4.9b
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
6.7b
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
9.3b
(*.f64 r (*.f64 w w))

rewrite60.0ms

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)))
20.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
12.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
8.0ms
(*.f64 r (*.f64 w w))

series81.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))
25.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w)))))
19.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 r (*.f64 w w))))
23.0ms
(*.f64 r (*.f64 w w))

simplify48.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049712755
149712755

prune258.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1809189
Fresh101
Picked101
Done000
Total1829191

Merged error: 4.6b

Counts
191 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.f64 2 (*.f64 r r))
1.8b
(/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))
4.9b
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
6.7b
(/.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))
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)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/.f64 2 (*.f64 r r))
16.0ms
(/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))
24.0ms
(*.f64 (+.f64 3/8 (*.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w))))
18.0ms
(/.f64 r (/.f64 (-.f64 1 v) (*.f64 (*.f64 r w) w)))

simplify55.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
055162821

prune294.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1838191
Fresh538
Picked101
Done000
Total18911200

Merged error: 0.0b

Counts
200 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt.f64 (-.f64 1 v))
0.4b
(/.f64 2 (*.f64 r r))
2.3b
(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
6.3b
(*.f64 (/.f64 (*.f64 r w) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
205×times-frac_binary64
146×add-sqr-sqrt_binary64
144×*-un-lft-identity_binary64
105×add-cube-cbrt_binary64
78×cbrt-prod_binary64
32×associate-/r*_binary64 add-exp-log_binary64
27×add-cbrt-cube_binary64
26×difference-of-squares_binary64
14×cbrt-div_binary64
13×associate-*l*_binary64 distribute-lft-out--_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
9×cbrt-undiv_binary64 associate-/r/_binary64 div-exp_binary64
7×flip3--_binary64 div-inv_binary64 flip--_binary64
6×pow1_binary64 associate-/l*_binary64 frac-times_binary64
4×add-log-exp_binary64 associate-*r/_binary64
3×associate-*r*_binary64 associate-*l/_binary64
2×flip3-+_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
1×pow-prod-down_binary64 pow1/3_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 222
Calls
4 calls:
4.0ms
(cbrt.f64 (-.f64 1 v))
5.0ms
(/.f64 2 (*.f64 r r))
11.0ms
(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
20.0ms
(*.f64 (/.f64 (*.f64 r w) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt.f64 (-.f64 1 v))
4.0ms
(/.f64 2 (*.f64 r r))
24.0ms
(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
53.0ms
(*.f64 (/.f64 (*.f64 r w) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4)))

simplify100.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049113689
149113689

prune449.0ms

Filtered
176 candidates to 234 candidates (-33.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2331234
Fresh1910
Picked101
Done000
Total23510245

Merged error: 0.0b

Counts
245 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(/.f64 (sqrt.f64 2) r)
0.6b
(/.f64 (sqrt.f64 2) (/.f64 r (/.f64 (sqrt.f64 2) r)))
2.3b
(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
6.3b
(*.f64 (/.f64 (*.f64 r w) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
1486×times-frac_binary64
733×add-sqr-sqrt_binary64
731×*-un-lft-identity_binary64
695×add-cube-cbrt_binary64
417×sqrt-prod_binary64
105×associate-/r*_binary64
72×cbrt-prod_binary64
38×add-exp-log_binary64
36×div-inv_binary64
33×add-cbrt-cube_binary64
24×difference-of-squares_binary64
17×associate-/r/_binary64
15×associate-/l*_binary64
14×cbrt-undiv_binary64 div-exp_binary64
13×associate-*l*_binary64
12×cbrt-div_binary64 distribute-lft-out--_binary64
9×cbrt-unprod_binary64 prod-exp_binary64
6×pow1_binary64 flip3--_binary64 flip--_binary64 frac-times_binary64
4×add-log-exp_binary64 associate-*r/_binary64
3×associate-*r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64
2×flip3-+_binary64 flip-+_binary64
1×pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 744
Calls
4 calls:
4.0ms
(/.f64 (sqrt.f64 2) r)
22.0ms
(/.f64 (sqrt.f64 2) (/.f64 r (/.f64 (sqrt.f64 2) r)))
11.0ms
(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
21.0ms
(*.f64 (/.f64 (*.f64 r w) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/.f64 (sqrt.f64 2) r)
10.0ms
(/.f64 (sqrt.f64 2) (/.f64 r (/.f64 (sqrt.f64 2) r)))
23.0ms
(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
54.0ms
(*.f64 (/.f64 (*.f64 r w) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4)))

simplify149.0ms

Algorithm
egg-herbie
Counts
756 → 756
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0498014004
1498014004

prune2.1s

Filtered
429 candidates to 756 candidates (-76.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New7533756
Fresh189
Picked101
Done000
Total75511766

Merged error: 0b

Counts
766 → 11

regimes353.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
013954
113954

end0.0ms

sample1.2s

Algorithm
intervals
Results
559.0ms8000×body80valid
334.0ms4773×body80invalid

Profiling

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