Details

Time bar (total: 4.7s)

sample111.0ms

Algorithm
intervals
Results
56.0ms115×body1280valid
21.0ms75×body640valid
12.0ms231×body80nan
7.0ms37×body320valid
2.0ms20×body160valid
0.0ms9×body80valid

simplify15.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.3b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

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:
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(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

prune171.0ms

Filtered
88 candidates to 58 candidates (34.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0.1b

Counts
89 → 6

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:
19.0ms
(* 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)))

simplify50.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0528643
12205526
25001525

prune201.0ms

Filtered
113 candidates to 68 candidates (39.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh055
Picked011
Done000
Total1136119

Merged error: 0.1b

Counts
119 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.0b
(* (+ 1.0 x) (/ 1 (- 1.0 x)))
5.3b
(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
26×add-exp-log
23×add-cube-cbrt
21×associate-*r*
10×add-cbrt-cube
9×pow1
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×log-div div-exp
5×rem-log-exp associate-/r*
4×frac-times flip3-+ associate-*l* associate-*l/ associate-/r/ flip-+
3×rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-- associate-*r/ pow-prod-down log-pow un-div-inv flip-- cbrt-unprod div-inv
1×log-prod pow-flip frac-2neg clear-num *-commutative distribute-lft-out inv-pow
Counts
3 → 111
Calls
3 calls:
10.0ms
(/ 1 (- 1.0 x))
13.0ms
(* (+ 1.0 x) (/ 1 (- 1.0 x)))
9.0ms
(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

series14.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1 (- 1.0 x))
3.0ms
(* (+ 1.0 x) (/ 1 (- 1.0 x)))
9.0ms
(log (* (+ 1.0 x) (/ 1 (- 1.0 x))))

simplify49.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0402673
11924592
25001529

prune167.0ms

Filtered
120 candidates to 69 candidates (42.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh044
Picked011
Done011
Total1206126

Merged error: 0.1b

Counts
126 → 6

localize11.0ms

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))
5.1b
(log (+ 1.0 x))
5.3b
(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))))
5.0ms
(/ 1 (- 1.0 x))
3.0ms
(log (+ 1.0 x))
6.0ms
(log (/ 1 (- 1.0 x)))

series15.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
2.0ms
(/ 1 (- 1.0 x))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (/ 1 (- 1.0 x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0495945
11630841
25001731

prune181.0ms

Filtered
150 candidates to 89 candidates (40.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1464150
Fresh123
Picked101
Done112
Total1497156

Merged error: 0.1b

Counts
156 → 7

regimes142.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02012
12012

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s3382×body1280valid
718.0ms2530×body640valid
281.0ms7744×body80nan
219.0ms1262×body320valid
67.0ms608×body160valid
11.0ms218×body80valid

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