Details

Time bar (total: 5.5s)

sample105.0ms

Algorithm
intervals
Results
56.0ms113×body1280valid
20.0ms73×body640valid
9.0ms275×body80nan
7.0ms38×body320valid
3.0ms24×body160valid
0.0ms8×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: 57.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.9b
(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))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ 1.0 x) (- 1.0 x))
121.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify116.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune157.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85388
Fresh000
Picked011
Done000
Total85489

Merged error: 0.2b

Counts
89 → 4

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify52.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0528643
12205526
25001525

prune215.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done011
Total1134117

Merged error: 0.2b

Counts
117 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.0b
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
5.9b
(log (/ 1 (- 1.0 x)))
6.0b
(log (+ 1.0 x))

rewrite29.0ms

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:
5.0ms
(/ 1 (- 1.0 x))
11.0ms
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
5.0ms
(log (/ 1 (- 1.0 x)))
3.0ms
(log (+ 1.0 x))

series318.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1 (- 1.0 x))
187.0ms
(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
62.0ms
(log (/ 1 (- 1.0 x)))
46.0ms
(log (+ 1.0 x))

simplify46.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0474937
11533837
25001733

prune223.0ms

Filtered
150 candidates to 88 candidates (58.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1482150
Fresh011
Picked101
Done022
Total1495154

Merged error: 0.2b

Counts
154 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

5.9b
(log (/ 1 (- 1.0 x)))
6.0b
(log (+ 1.0 x))
6.0b
(log (+ 1.0 x))
6.0b
(log (+ 1.0 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
33×log-prod
28×*-un-lft-identity
22×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
12×add-exp-log
9×pow1
7×log-div rem-log-exp
6×log-pow
4×add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
2×div-exp associate-/r/
1×rec-exp flip3-- pow-flip 1-exp log-rec flip-- div-inv inv-pow
Counts
4 → 82
Calls
4 calls:
5.0ms
(log (/ 1 (- 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))

series191.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(log (/ 1 (- 1.0 x)))
39.0ms
(log (+ 1.0 x))
45.0ms
(log (+ 1.0 x))
40.0ms
(log (+ 1.0 x))

simplify76.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0284548
1766504
22848467
35003450

prune225.0ms

Filtered
94 candidates to 63 candidates (67.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New92294
Fresh022
Picked011
Done022
Total92799

Merged error: 0.1b

Counts
99 → 7

regimes111.0ms

Accuracy

0% (0.4b 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

sample3.3s

Algorithm
intervals
Results
1.8s3416×body1280valid
733.0ms2476×body640valid
307.0ms8051×body80nan
238.0ms1282×body320valid
71.0ms622×body160valid
11.0ms204×body80valid

Profiling

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