Details

Time bar (total: 5.7s)

sample69.0ms

Algorithm
intervals
Results
27.0ms60×body1280valid
11.0ms47×body640valid
8.0ms35×body320valid
6.0ms143×body80valid
3.0ms102×body80nan
2.0ms16×body160valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0156
1246
2516
31086
43104
57924
641924
750024

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 11.6b

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))
6.4b
(pow (/ x (+ x y)) x)

rewrite32.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 178
Calls
3 calls:
11.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
7.0ms
(pow (/ x (+ x y)) x)

series412.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(/ (pow (/ x (+ x y)) x) x)
44.0ms
(/ x (+ x y))
234.0ms
(pow (/ x (+ x y)) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05541456
127251426
250011426

prune369.0ms

Filtered
187 candidates to 137 candidates (73.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1834187
Fresh000
Picked101
Done000
Total1844188

Merged error: 0.6b

Counts
188 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
13×unpow-prod-down
12×cbrt-div
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
6×flip3-+ flip-+
5×pow1 pow-exp
4×expm1-log1p-u frac-times div-exp prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×associate-*r/ associate-*l/
1×pow-to-exp pow-pow times-frac div-inv sqr-pow
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series833.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
181.0ms
(cbrt x)
181.0ms
(cbrt x)
284.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify146.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0378644
11170603
24673584
35001584

prune249.0ms

Filtered
84 candidates to 66 candidates (78.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New83184
Fresh033
Picked101
Done000
Total84488

Merged error: 0.1b

Counts
88 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.6b
(cbrt x)
0.6b
(cbrt x)
2.9b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×log-prod *-un-lft-identity
42×times-frac
34×add-sqr-sqrt add-cube-cbrt
7×add-exp-log distribute-lft-out
5×pow1
4×expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-+ rem-log-exp associate-/r/ flip-+
1×log-div div-exp log-pow div-inv
Counts
4 → 103
Calls
4 calls:
3.0ms
(cbrt (+ x y))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series608.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (+ x y))
185.0ms
(cbrt x)
183.0ms
(cbrt x)
77.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify183.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (169.0ms)

IterNodesCost
0370887
11014855
24230835
35002830

prune408.0ms

Filtered
115 candidates to 96 candidates (83.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh033
Picked011
Done000
Total1154119

Merged error: 0.1b

Counts
119 → 4

localize5.0ms

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 expm1-log1p-u frac-2neg mul-1-neg div-exp clear-num log1p-expm1-u div-inv associate-/l/ add-log-exp
Counts
1 → 30
Calls
1 calls:
4.0ms
(/ (exp (* -1 y)) x)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(/ (exp (* -1 y)) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0118194
1313179
21512177
35001177

prune54.0ms

Filtered
33 candidates to 25 candidates (75.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh022
Picked101
Done011
Total32537

Merged error: 0.1b

Counts
37 → 5

regimes67.0ms

Accuracy

99.6% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 5.9b

bsearch104.0ms

Steps
ItersRangePoint
9
5.08584384811324e-07
108.10498260228141
27.519261333115796
9
-8.211399685419546e+34
-1.3726129525153165e+29
-5.167592364684384e+29

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03418
13418

end0.0ms

sample1.8s

Algorithm
intervals
Results
664.0ms1547×body1280valid
386.0ms1566×body640valid
202.0ms4785×body80valid
129.0ms813×body320valid
97.0ms3009×body80nan
45.0ms428×body160valid

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