Details

Time bar (total: 8.3s)

sample71.0ms

Algorithm
intervals
Results
20.0ms42×body1280valid
11.0ms40×body640valid
8.0ms168×body80valid
5.0ms30×body320valid
4.0ms107×body80nan
1.0ms10×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

prune8.0ms

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: 9.8b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (pow (/ x (+ x y)) x) x)
0.0b
(/ x (+ x y))
5.6b
(pow (/ x (+ x y)) x)

rewrite31.0ms

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:
11.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
7.0ms
(pow (/ x (+ x y)) x)

series515.0ms

Counts
3 → 9
Calls
3 calls:
167.0ms
(/ (pow (/ x (+ x y)) x) x)
54.0ms
(/ x (+ x y))
294.0ms
(pow (/ x (+ x y)) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05371436
126401406
250021406

prune1.2s

Filtered
181 candidates to 131 candidates (27.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1783181
Fresh000
Picked101
Done000
Total1793182

Merged error: 0b

Counts
182 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.7b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.2b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
53×cbrt-prod
52×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
18×cbrt-div
10×associate-/r/
9×flip3-+ flip-+
8×distribute-lft-out
7×pow-exp
6×pow1 pow-unpow
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 → 122
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
13.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
16.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series965.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (+ x y))
155.0ms
(cbrt (+ x y))
319.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
335.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07281428
122461356
250011325

prune1.2s

Filtered
134 candidates to 92 candidates (31.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1340134
Fresh022
Picked011
Done000
Total1343137

Merged error: 0b

Counts
137 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (exp (* -1 y)) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log
1×pow1 cbrt-undiv exp-neg frac-2neg mul-1-neg div-exp clear-num div-inv associate-/l/ add-log-exp
Counts
1 → 28
Calls
1 calls:
4.0ms
(/ (exp (* -1 y)) x)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (exp (* -1 y)) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0114186
1303172
21435169
35001169

prune51.0ms

Filtered
31 candidates to 23 candidates (25.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh011
Picked011
Done011
Total31334

Merged error: 0b

Counts
34 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.7b
(pow (/ x (cbrt (+ x y))) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
27×unpow-prod-down
24×cbrt-prod
22×add-sqr-sqrt add-cube-cbrt
21×times-frac
8×cbrt-div
7×add-exp-log
6×distribute-lft-out
5×pow1
4×flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow-unpow pow1/3
2×pow-exp associate-/r/
1×pow-to-exp pow-pow div-exp div-inv sqr-pow
Counts
4 → 84
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
8.0ms
(pow (/ x (cbrt (+ x y))) x)

series570.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (+ x y))
152.0ms
(cbrt (+ x y))
151.0ms
(cbrt (+ x y))
111.0ms
(pow (/ x (cbrt (+ x y))) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0497752
11928723
25002694

prune881.0ms

Filtered
96 candidates to 74 candidates (22.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done022
Total96399

Merged error: 0b

Counts
99 → 3

regimes89.0ms

Accuracy

95.1% (0.3b remaining)

Error of 1.2b against oracle of 0.9b and baseline of 6.8b

bsearch122.0ms

Steps
ItersRangePoint
9
3.9971791970784e-05
76.94053799743773
4.7314287627245095
8
-3.20233221123102e+66
-9.285359387380172e+62
-9.852861998798752e+62

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample2.0s

Algorithm
intervals
Results
698.0ms1464×body1280valid
410.0ms1436×body640valid
247.0ms4870×body80valid
171.0ms883×body320valid
114.0ms2963×body80nan
55.0ms469×body160valid

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