Details

Time bar (total: 4.1s)

sample65.0ms

Algorithm
intervals
Results
18.0ms36×body1280valid
15.0ms52×body640valid
9.0ms170×body80valid
4.0ms23×body320valid
3.0ms84×body80nan
1.0ms11×body160valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 13.7b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (pow (/ x (+ x y)) x) x)
0.0b
(/ x (+ x y))
7.8b
(pow (/ x (+ x y)) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
7×div-exp associate-/r* add-cbrt-cube div-inv
6×flip3-+ flip-+
5×sqr-pow
4×pow1 pow-exp
3×pow-unpow add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 172
Calls
3 calls:
10.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
6.0ms
(pow (/ x (+ x y)) x)

series43.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
18.0ms
(pow (/ x (+ x y)) x)

simplify103.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07521628
137871586
250011586

prune210.0ms

Filtered
134 candidates to 181 candidates (-35.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1747181
Fresh000
Picked101
Done000
Total1757182

Merged error: 0.6b

Counts
182 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.5b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
51×cbrt-prod
48×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ pow-exp flip-+
6×pow1 pow-unpow distribute-lft-out
5×div-exp
4×frac-times prod-exp add-cbrt-cube add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series109.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
21.0ms
(cbrt x)
26.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
38.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify94.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
09771596
135001507
250021470

prune172.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done000
Total1287135

Merged error: 0.6b

Counts
135 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
7.3b
(cbrt (/ x (+ x y)))
7.3b
(cbrt (/ x (+ x y)))
7.3b
(cbrt (/ x (+ x y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
47×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
12×pow1
9×pow-pow pow1/3 distribute-lft-out
7×add-exp-log
6×associate-/r/
4×add-cbrt-cube add-log-exp
3×pow-unpow cbrt-div flip3-+ flip-+ div-inv
2×pow-prod-down pow-exp pow-sqr pow-prod-up
1×pow2 pow-to-exp unpow-prod-down pow-plus prod-exp sqr-pow
Counts
4 → 105
Calls
4 calls:
13.0ms
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
4.0ms
(cbrt (/ x (+ x y)))
4.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
24.0ms
(cbrt (/ x (+ x y)))
24.0ms
(cbrt (/ x (+ x y)))
27.0ms
(cbrt (/ x (+ x y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0437920
11873885
25002853

prune137.0ms

Filtered
86 candidates to 117 candidates (-36.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh055
Picked011
Done011
Total1177124

Merged error: 0.6b

Counts
124 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
7.8b
(pow (/ x (+ x y)) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
18×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt
12×times-frac
9×cbrt-prod
7×add-exp-log
5×pow1
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3 distribute-lft-out
2×pow-exp associate-/r/
1×pow-to-exp pow-pow flip3-+ div-exp flip-+ div-inv sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(pow (/ x (+ x y)) x)

series85.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)
19.0ms
(pow (/ x (+ x y)) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0458502
11828464
25002416

prune84.0ms

Filtered
59 candidates to 78 candidates (-32.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New76278
Fresh044
Picked011
Done022
Total76985

Merged error: 0.6b

Counts
85 → 9

regimes318.0ms

Accuracy

16.1% (4.6b remaining)

Error of 5.6b against oracle of 1.1b and baseline of 6.5b

bsearch72.0ms

Steps
ItersRangePoint
7
3.9154119306348194e+44
8.70870610841975e+46
8.569380611725138e+46
6
2872.6372031135757
34041.21450285915
5489.10217512401

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03235
13235

end0.0ms

sample2.1s

Algorithm
intervals
Results
705.0ms1459×body1280valid
421.0ms1443×body640valid
257.0ms4885×body80valid
168.0ms849×body320valid
118.0ms3009×body80nan
57.0ms446×body160valid

Profiling

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