Details

Time bar (total: 5.0s)

sample103.0ms

Algorithm
intervals
Results
50.0ms95×body1280valid
23.0ms83×body640valid
9.0ms260×body80nan
7.0ms43×body320valid
3.0ms26×body160valid
0.0ms9×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
7.5b
(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)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
120.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify118.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune159.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New85388
Fresh000
Picked101
Done000
Total86389

Merged error: 0.2b

Counts
89 → 3

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:
18.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify53.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0528643
12205526
25001525

prune218.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done000
Total1133116

Merged error: 0.2b

Counts
116 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
0.0b
(/ 1 (- 1.0 x))
7.6b
(log (+ 1.0 x))
7.6b
(log (/ 1 (- 1.0 x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
54×add-sqr-sqrt
50×log-prod
45×times-frac
34×add-cube-cbrt
21×associate-+r+
14×add-exp-log
12×pow1
10×distribute-lft-out-- difference-of-squares
8×log-pow
6×log-div associate-/r/ add-cbrt-cube distribute-lft-out
5×rem-log-exp associate-/r*
4×associate-+l+ div-exp add-log-exp
3×flip3-- flip3-+ log-rec flip-- flip-+ div-inv associate-/l*
2×associate-+l- rec-exp pow-flip 1-exp inv-pow
1×cbrt-undiv +-commutative associate-+r- frac-2neg unsub-neg clear-num sum-log
Counts
4 → 138
Calls
4 calls:
11.0ms
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
6.0ms
(/ 1 (- 1.0 x))
3.0ms
(log (+ 1.0 x))
6.0ms
(log (/ 1 (- 1.0 x)))

series323.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
26.0ms
(/ 1 (- 1.0 x))
41.0ms
(log (+ 1.0 x))
68.0ms
(log (/ 1 (- 1.0 x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0474937
11533837
25001733

prune228.0ms

Filtered
150 candidates to 89 candidates (59.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1482150
Fresh011
Picked011
Done011
Total1485153

Merged error: 0.2b

Counts
153 → 5

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ 2.0 (* x 0.5)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (+ 2.0 (* x 0.5)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* x (+ 2.0 (* x 0.5)))

simplify111.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0144117
1680103
23770103
35002103

prune54.0ms

Filtered
25 candidates to 16 candidates (64.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh022
Picked101
Done022
Total23730

Merged error: 0.2b

Counts
30 → 7

regimes35.0ms

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

sample3.1s

Algorithm
intervals
Results
1.6s3331×body1280valid
704.0ms2512×body640valid
293.0ms8215×body80nan
219.0ms1287×body320valid
70.0ms664×body160valid
10.0ms206×body80valid

Profiling

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