Details

Time bar (total: 4.8s)

sample64.0ms

Algorithm
intervals
Results
23.0ms52×body1280valid
13.0ms51×body640valid
6.0ms151×body80valid
6.0ms24×body320valid
3.0ms89×body80nan
2.0ms18×body160valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
5.3b
(pow (/ x (+ x y)) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
7×add-exp-log distribute-lft-out
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1 pow-unpow associate-/l*
2×flip3-+ div-exp pow-exp flip-+ div-inv add-log-exp
1×cbrt-undiv pow-to-exp pow-pow frac-2neg clear-num sqr-pow
Counts
2 → 66
Calls
2 calls:
5.0ms
(/ x (+ x y))
8.0ms
(pow (/ x (+ x y)) x)

series269.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ x (+ x y))
231.0ms
(pow (/ x (+ x y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0309402
11244387
25002386

prune143.0ms

Filtered
72 candidates to 50 candidates (69.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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×frac-times div-exp prod-exp add-cbrt-cube 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 → 64
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series803.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
179.0ms
(cbrt x)
178.0ms
(cbrt x)
269.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify138.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0367613
11117573
24414551
35001551

prune244.0ms

Filtered
76 candidates to 58 candidates (76.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (+ x y))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series663.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (+ x y))
186.0ms
(cbrt x)
177.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify42.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0139204
1348190
21107182
35002182

prune202.0ms

Filtered
59 candidates to 51 candidates (86.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:
3.0ms
(/ (exp (* -1 y)) x)

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ (exp (* -1 y)) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0114186
1303172
21465170
35003170

prune58.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes62.0ms

Accuracy

99.2% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.2b

bsearch99.0ms

Steps
ItersRangePoint
10
1.4560450667568386e-14
3931.223596465877
21.947453469777777
8
-1.256204308720432e+39
-4.102591953759288e+36
-3.0060954622612786e+37

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02821
12821

end0.0ms

sample1.7s

Algorithm
intervals
Results
649.0ms1503×body1280valid
356.0ms1449×body640valid
208.0ms4911×body80valid
136.0ms853×body320valid
93.0ms3096×body80nan
42.0ms427×body160valid