Details

Time bar (total: 5.1s)

analyze306.0ms

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
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms28×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
08211
18211

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.4b
(*.f64 y (+.f64 1.0 (*.f64 z z)))
3.7b
(/.f64 (/.f64 1.0 x) (*.f64 y (+.f64 1.0 (*.f64 z z))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac_binary64
20×add-sqr-sqrt_binary64
18×*-un-lft-identity_binary64 add-cube-cbrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-/l*_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64 associate-*r/_binary64
cbrt-unprod_binary64 associate-*r*_binary64 associate-*l*_binary64 prod-exp_binary64 div-inv_binary64
flip3-+_binary64 add-log-exp_binary64 associate-/r/_binary64 flip-+_binary64
pow-prod-down_binary64 associate-/l/_binary64 associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
2 → 70
Calls
2 calls:
5.0ms
(*.f64 y (+.f64 1.0 (*.f64 z z)))
8.0ms
(/.f64 (/.f64 1.0 x) (*.f64 y (+.f64 1.0 (*.f64 z z))))

series33.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(*.f64 y (+.f64 1.0 (*.f64 z z)))
22.0ms
(/.f64 (/.f64 1.0 x) (*.f64 y (+.f64 1.0 (*.f64 z z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04985885
14985885

prune125.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New67976
Fresh000
Picked101
Done000
Total68977

Merged error: 4.3b

Counts
77 → 9

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (/.f64 1.0 x) y)
5.5b
(/.f64 (/.f64 (/.f64 1.0 x) y) (+.f64 1.0 (*.f64 z z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac_binary64
228×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
56×associate-/l*_binary64
22×div-inv_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r*_binary64
associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64
flip3-+_binary64 flip-+_binary64
Counts
2 → 264
Calls
2 calls:
6.0ms
(/.f64 (/.f64 1.0 x) y)
20.0ms
(/.f64 (/.f64 (/.f64 1.0 x) y) (+.f64 1.0 (*.f64 z z)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/.f64 (/.f64 1.0 x) y)
24.0ms
(/.f64 (/.f64 (/.f64 1.0 x) y) (+.f64 1.0 (*.f64 z z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049815243
149815243

prune366.0ms

Filtered
233 candidates to 270 candidates (-15.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2700270
Fresh088
Picked011
Done000
Total2709279

Merged error: 4.3b

Counts
279 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (/.f64 1.0 x))
1.9b
(/.f64 (cbrt.f64 (/.f64 1.0 x)) (+.f64 1.0 (*.f64 z z)))
2.3b
(/.f64 (*.f64 (cbrt.f64 (/.f64 1.0 x)) (cbrt.f64 (/.f64 1.0 x))) (/.f64 y (/.f64 (cbrt.f64 (/.f64 1.0 x)) (+.f64 1.0 (*.f64 z z)))))
2.8b
(/.f64 y (/.f64 (cbrt.f64 (/.f64 1.0 x)) (+.f64 1.0 (*.f64 z z))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
1496×times-frac_binary64
635×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
455×cbrt-prod_binary64
224×associate-/r*_binary64
50×div-inv_binary64
32×add-exp-log_binary64
26×associate-/r/_binary64
22×add-cbrt-cube_binary64
20×associate-/l*_binary64
16×cbrt-undiv_binary64 div-exp_binary64
11×flip3-+_binary64 flip-+_binary64
cbrt-div_binary64
associate-/l/_binary64 add-log-exp_binary64 pow1_binary64
cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64
associate-*r/_binary64 pow1/3_binary64 frac-times_binary64 associate-*l/_binary64
Counts
4 → 699
Calls
4 calls:
2.0ms
(cbrt.f64 (/.f64 1.0 x))
8.0ms
(/.f64 (cbrt.f64 (/.f64 1.0 x)) (+.f64 1.0 (*.f64 z z)))
35.0ms
(/.f64 (*.f64 (cbrt.f64 (/.f64 1.0 x)) (cbrt.f64 (/.f64 1.0 x))) (/.f64 y (/.f64 (cbrt.f64 (/.f64 1.0 x)) (+.f64 1.0 (*.f64 z z)))))
17.0ms
(/.f64 y (/.f64 (cbrt.f64 (/.f64 1.0 x)) (+.f64 1.0 (*.f64 z z))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt.f64 (/.f64 1.0 x))
40.0ms
(/.f64 (cbrt.f64 (/.f64 1.0 x)) (+.f64 1.0 (*.f64 z z)))
32.0ms
(/.f64 (*.f64 (cbrt.f64 (/.f64 1.0 x)) (cbrt.f64 (/.f64 1.0 x))) (/.f64 y (/.f64 (cbrt.f64 (/.f64 1.0 x)) (+.f64 1.0 (*.f64 z z)))))
68.0ms
(/.f64 y (/.f64 (cbrt.f64 (/.f64 1.0 x)) (+.f64 1.0 (*.f64 z z))))

simplify138.0ms

Algorithm
egg-herbie
Counts
711 → 711
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
0528919014

prune2.3s

Filtered
641 candidates to 711 candidates (-10.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New7101711
Fresh077
Picked011
Done011
Total71010720

Merged error: 4.3b

Counts
720 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 y (sqrt.f64 (+.f64 1.0 (*.f64 z z)))) (sqrt.f64 (+.f64 1.0 (*.f64 z z))))
3.7b
(/.f64 (/.f64 1.0 x) (*.f64 (*.f64 y (sqrt.f64 (+.f64 1.0 (*.f64 z z)))) (sqrt.f64 (+.f64 1.0 (*.f64 z z)))))
16.1b
(sqrt.f64 (+.f64 1.0 (*.f64 z z)))
16.1b
(sqrt.f64 (+.f64 1.0 (*.f64 z z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac_binary64
30×add-exp-log_binary64 add-cbrt-cube_binary64
28×sqrt-div_binary64
24×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64 add-cube-cbrt_binary64
16×associate-*r/_binary64
14×flip3-+_binary64 flip-+_binary64
13×associate-/l*_binary64
11×pow1_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64 sqrt-prod_binary64
associate-/r/_binary64 frac-times_binary64
associate-*r*_binary64
add-log-exp_binary64 associate-*l/_binary64
pow-prod-down_binary64 div-inv_binary64
pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
associate-/l/_binary64 associate-/r*_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
4 → 117
Calls
4 calls:
11.0ms
(*.f64 (*.f64 y (sqrt.f64 (+.f64 1.0 (*.f64 z z)))) (sqrt.f64 (+.f64 1.0 (*.f64 z z))))
15.0ms
(/.f64 (/.f64 1.0 x) (*.f64 (*.f64 y (sqrt.f64 (+.f64 1.0 (*.f64 z z)))) (sqrt.f64 (+.f64 1.0 (*.f64 z z)))))
3.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 z z)))
3.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 z z)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(*.f64 (*.f64 y (sqrt.f64 (+.f64 1.0 (*.f64 z z)))) (sqrt.f64 (+.f64 1.0 (*.f64 z z))))
22.0ms
(/.f64 (/.f64 1.0 x) (*.f64 (*.f64 y (sqrt.f64 (+.f64 1.0 (*.f64 z z)))) (sqrt.f64 (+.f64 1.0 (*.f64 z z)))))
4.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 z z)))
5.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 z z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049911716
149911716

prune122.0ms

Filtered
94 candidates to 129 candidates (-37.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh077
Picked011
Done022
Total12910139

Merged error: 4.3b

Counts
139 → 10

regimes601.0ms

Accuracy

0% (1.7b remaining)

Error of 6.6b against oracle of 4.9b and baseline of 6.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11011

end0.0ms

sample475.0ms

Algorithm
intervals
Results
287.0ms8000×body80valid
20.0ms505×body80invalid

Profiling

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