Details

Time bar (total: 5.9s)

sample109.0ms

Algorithm
intervals
Results
54.0ms105×body1280valid
21.0ms78×body640valid
9.0ms263×body80nan
7.0ms42×body320valid
2.0ms24×body160valid
0.0ms7×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune3.0ms

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: 59.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
8.4b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite16.0ms

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)))

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)))

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune350.0ms

Filtered
88 candidates to 58 candidates (34.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85388
Fresh000
Picked011
Done000
Total85489

Merged error: 0.2b

Counts
89 → 4

localize13.0ms

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:
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)))

simplify52.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0528643
12205526
25001525

prune645.0ms

Filtered
113 candidates to 68 candidates (39.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done011
Total1134117

Merged error: 0.2b

Counts
117 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

8.4b
(log (+ 1.0 x))
8.4b
(log (- 1.0 x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×log-prod
8×*-un-lft-identity
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt log-div
2×rem-log-exp log-pow add-cbrt-cube add-log-exp
1×flip3-- flip3-+ flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 31
Calls
2 calls:
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series6.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0191202
1504182
21670171
35001168

prune129.0ms

Filtered
37 candidates to 28 candidates (24.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New35237
Fresh011
Picked101
Done022
Total36541

Merged error: 0.1b

Counts
41 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow 1.0 3) (pow x 3))
1.0b
(log (- (pow 1.0 3) (pow x 3)))
8.4b
(log (+ 1.0 x))
8.4b
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
32×log-prod difference-of-squares
29×*-un-lft-identity
24×unpow-prod-down cube-prod
16×sqr-pow
10×distribute-lft-out--
7×pow1 add-exp-log add-cube-cbrt
6×log-div add-log-exp
4×add-cbrt-cube
3×rem-log-exp log-pow
2×difference-cubes flip3-- flip3-+ flip-- flip-+
1×sub-neg diff-log distribute-lft-out
Counts
4 → 99
Calls
4 calls:
10.0ms
(- (pow 1.0 3) (pow x 3))
13.0ms
(log (- (pow 1.0 3) (pow x 3)))
3.0ms
(log (+ 1.0 x))
5.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (pow 1.0 3) (pow x 3))
14.0ms
(log (- (pow 1.0 3) (pow x 3)))
3.0ms
(log (+ 1.0 x))
4.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify49.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0433879
11525816
25002799

prune887.0ms

Filtered
111 candidates to 76 candidates (31.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1092111
Fresh112
Picked101
Done022
Total1115116

Merged error: 0.1b

Counts
116 → 5

regimes157.0ms

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
1.6s3393×body1280valid
684.0ms2468×body640valid
272.0ms7982×body80nan
218.0ms1308×body320valid
67.0ms629×body160valid
10.0ms202×body80valid

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