Details

Time bar (total: 5.0s)

sample59.0ms

Algorithm
intervals
Results
22.0ms50×body1280valid
11.0ms45×body640valid
8.0ms149×body80valid
4.0ms26×body320valid
3.0ms92×body80nan
1.0ms14×body160valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

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: 10.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
5.8b
(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))
7.0ms
(pow (/ x (+ x y)) x)

series271.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (+ x y))
231.0ms
(pow (/ x (+ x y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0309402
11244387
25002386

prune147.0ms

Filtered
72 candidates to 50 candidates (69.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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)
0.0ms
(cbrt x)
15.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series821.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
188.0ms
(cbrt x)
174.0ms
(cbrt x)
278.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify136.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0367613
11117573
24414551
35001551

prune242.0ms

Filtered
76 candidates to 58 candidates (76.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt x)
0.6b
(cbrt x)
2.8b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite13.0ms

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×cbrt-div add-cbrt-cube 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 → 95
Calls
4 calls:
2.0ms
(cbrt (+ x y))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
6.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series573.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (+ x y))
182.0ms
(cbrt x)
181.0ms
(cbrt x)
73.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify132.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0360861
1982830
24123810
35001810

prune426.0ms

Filtered
107 candidates to 88 candidates (82.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

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)

series23.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0114186
1303172
21465170
35003170

prune55.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

98.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 6.1b

bsearch72.0ms

Steps
ItersRangePoint
9
6.862770288593376e-07
0.3394070361140097
0.33478828589408055
4
-9.524776069844366e+35
-6.250437036933385e+35
-6.5371590662226184e+35

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03418
13418

end0.0ms

sample1.7s

Algorithm
intervals
Results
681.0ms1590×body1280valid
352.0ms1431×body640valid
203.0ms4844×body80valid
131.0ms811×body320valid
90.0ms2953×body80nan
41.0ms420×body160valid