Details

Time bar (total: 7.1s)

sample70.0ms

Algorithm
intervals
Results
27.0ms57×body1280valid
12.0ms40×body640valid
8.0ms163×body80valid
4.0ms23×body320valid
4.0ms15×body160valid
3.0ms83×body80nan

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

prune5.0ms

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: 11.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (pow (/ x (+ x y)) x) x)
7.1b
(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×pow-unpow add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 172
Calls
3 calls:
5.0ms
(/ x (+ x y))
11.0ms
(/ (pow (/ x (+ x y)) x) x)
7.0ms
(pow (/ x (+ x y)) x)

series395.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ x (+ x y))
132.0ms
(/ (pow (/ x (+ x y)) x) x)
225.0ms
(pow (/ x (+ x y)) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05371436
126401406
250011406

prune366.0ms

Filtered
181 candidates to 131 candidates (72.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1765181
Fresh000
Picked101
Done000
Total1775182

Merged error: 0.8b

Counts
182 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.7b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite34.0ms

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)
11.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
16.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series893.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
172.0ms
(cbrt x)
254.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
289.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06911334
121641266
250011235

prune336.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1271128
Fresh134
Picked101
Done000
Total1294133

Merged error: 0.0b

Counts
133 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.5b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
85×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
48×unpow-prod-down log-prod
12×distribute-lft-out
10×add-exp-log
6×pow1
4×cbrt-div associate-/r/ add-cbrt-cube add-log-exp
3×pow-unpow
2×flip3-+ pow1/3 div-exp rem-log-exp pow-exp flip-+ div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 144
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
8.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series732.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
183.0ms
(cbrt x)
306.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
66.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05991534
118751502
250021431

prune431.0ms

Filtered
156 candidates to 104 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh033
Picked011
Done000
Total1564160

Merged error: 0.0b

Counts
160 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.7b
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
6.5b
(cbrt (/ x (+ x y)))
6.5b
(cbrt (/ x (+ x y)))
6.5b
(cbrt (/ x (+ x y)))

rewrite35.0ms

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:
17.0ms
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
5.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))

series819.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
122.0ms
(cbrt (/ x (+ x y)))
304.0ms
(cbrt (/ x (+ x y)))
124.0ms
(cbrt (/ x (+ x y)))

simplify161.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (150.0ms)

IterNodesCost
0273798
1946768
24150750
35002749

prune271.0ms

Filtered
117 candidates to 85 candidates (72.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done011
Total1174121

Merged error: 0.0b

Counts
121 → 4

regimes63.0ms

Accuracy

94.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.5b

bsearch115.0ms

Steps
ItersRangePoint
11
3.029362037509861e-19
14.716166499582775
6.4371159547725245
6
-5.5420202094963326e+107
-3.545331371370155e+106
-3.602031580985259e+106

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03318
13318

end0.0ms

sample2.0s

Algorithm
intervals
Results
745.0ms1537×body1280valid
417.0ms1445×body640valid
259.0ms4887×body80valid
159.0ms840×body320valid
118.0ms3020×body80nan
53.0ms442×body160valid