Details

Time bar (total: 5.0s)

sample111.0ms

Algorithm
intervals
Results
58.0ms117×body1280valid
22.0ms77×body640valid
9.0ms257×body80nan
7.0ms42×body320valid
2.0ms17×body160valid
0.0ms3×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.5b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune143.0ms

Filtered
88 candidates to 58 candidates (34.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh000
Picked101
Done000
Total87289

Merged error: 0.1b

Counts
89 → 2

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0528643
12205526
25001525

prune195.0ms

Filtered
113 candidates to 68 candidates (39.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done000
Total1132115

Merged error: 0.1b

Counts
115 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (+ 1.0 x))
0.0b
(/ (cbrt (+ 1.0 x)) (- 1.0 x))
4.2b
(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
4.3b
(log (cbrt (+ 1.0 x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
75×add-sqr-sqrt
70×times-frac
52×cbrt-prod
48×log-prod
45×add-cube-cbrt
15×distribute-lft-out-- difference-of-squares
13×distribute-lft-out
10×add-exp-log
7×associate-/l*
6×pow1 cbrt-div
5×associate-/r* add-cbrt-cube
4×associate-/r/ add-log-exp
3×log-div flip3-+ rem-log-exp log-pow flip-+
2×flip3-- pow1/3 div-exp flip-- div-inv associate-/l/
1×cbrt-undiv frac-2neg clear-num
Counts
4 → 148
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
8.0ms
(/ (cbrt (+ 1.0 x)) (- 1.0 x))
8.0ms
(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
4.0ms
(log (cbrt (+ 1.0 x)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
9.0ms
(/ (cbrt (+ 1.0 x)) (- 1.0 x))
11.0ms
(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
8.0ms
(log (cbrt (+ 1.0 x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
06401535
119991470
250011421

prune377.0ms

Filtered
160 candidates to 118 candidates (26.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1591160
Fresh000
Picked101
Done011
Total1602162

Merged error: 0.1b

Counts
162 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (log (/ (cbrt (+ 1.0 x)) (- 1.0 x))) 3)
0.1b
(cbrt (pow (log (/ (cbrt (+ 1.0 x)) (- 1.0 x))) 3))
4.2b
(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
4.3b
(log (cbrt (+ 1.0 x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
48×log-prod
44×add-sqr-sqrt
38×cbrt-prod
35×times-frac
30×add-cube-cbrt
11×pow1
9×add-exp-log
8×unpow-prod-down cube-prod
7×log-pow distribute-lft-out-- difference-of-squares
6×distribute-lft-out
5×add-cbrt-cube
4×add-log-exp
3×log-div pow-unpow rem-log-exp
2×cube-mult cbrt-div pow1/3 unpow3 associate-/r/ sqr-pow
1×pow-to-exp flip3-- pow-pow flip3-+ div-exp pow-exp flip-- rem-cbrt-cube flip-+ div-inv rem-cube-cbrt
Counts
4 → 119
Calls
4 calls:
3.0ms
(pow (log (/ (cbrt (+ 1.0 x)) (- 1.0 x))) 3)
3.0ms
(cbrt (pow (log (/ (cbrt (+ 1.0 x)) (- 1.0 x))) 3))
8.0ms
(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
4.0ms
(log (cbrt (+ 1.0 x)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(pow (log (/ (cbrt (+ 1.0 x)) (- 1.0 x))) 3)
11.0ms
(cbrt (pow (log (/ (cbrt (+ 1.0 x)) (- 1.0 x))) 3))
11.0ms
(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
8.0ms
(log (cbrt (+ 1.0 x)))

simplify80.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
08501509
131991428
250021419

prune310.0ms

Filtered
131 candidates to 80 candidates (38.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done011
Total1312133

Merged error: 0.1b

Counts
133 → 2

regimes26.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.7s3395×body1280valid
684.0ms2426×body640valid
284.0ms7955×body80nan
235.0ms1317×body320valid
72.0ms672×body160valid
10.0ms190×body80valid

Profiling

Loading profile data...