Details

Time bar (total: 6.5s)

sample130.0ms

Algorithm
intervals
Results
61.0ms105×body1280valid
30.0ms86×body640valid
13.0ms294×body80nan
6.0ms31×body320valid
3.0ms23×body160valid
1.0ms11×body80valid

simplify16.0ms

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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.6b

Counts
2 → 1

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.8b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite30.0ms

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:
12.0ms
(/ (+ 1.0 x) (- 1.0 x))
12.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series179.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (+ 1.0 x) (- 1.0 x))
142.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify119.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune378.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0.3b

Counts
89 → 6

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)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* 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

prune231.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh055
Picked011
Done000
Total1127119

Merged error: 0.3b

Counts
119 → 7

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
4.3b
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp
5×pow1
3×log-prod associate-*l* log-pow add-log-exp
2×cbrt-unprod
1×cbrt-undiv exp-prod exp-to-pow associate-*r/ rem-log-exp pow-prod-down *-commutative div-inv
Counts
2 → 124
Calls
2 calls:
19.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series102.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
53.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0546743
12231610
25001609

prune300.0ms

Filtered
130 candidates to 80 candidates (61.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh055
Picked011
Done011
Total1307137

Merged error: 0.3b

Counts
137 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
0.0b
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
5.9b
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
5.9b
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
409×add-sqr-sqrt
383×*-un-lft-identity
300×times-frac
218×log-prod
208×difference-of-squares
156×unpow-prod-down cube-prod
106×associate-+l+
104×sqr-pow
97×add-cube-cbrt
80×distribute-lft-out
65×distribute-lft-out--
25×associate-/r*
13×difference-cubes
10×pow1 add-exp-log
6×log-div associate-/r/ log-pow add-cbrt-cube
4×flip3-+ flip-+ associate-/l* add-log-exp
3×associate-+r+ flip3-- rem-log-exp flip-- div-inv
2×associate-+r- div-exp associate-/l/
1×cbrt-undiv +-commutative associate-+l- frac-2neg clear-num sum-log
Counts
4 → 403
Calls
4 calls:
32.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
17.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
21.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
6.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series415.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
48.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
64.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
65.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify126.0ms

Algorithm
egg-herbie
Counts
415 → 415
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
09555307
131215214
250025189

prune897.0ms

Filtered
415 candidates to 205 candidates (49.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4132415
Fresh314
Picked101
Done202
Total4193422

Merged error: 0.0b

Counts
422 → 3

regimes21.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02614
12614

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.7s3416×body1280valid
692.0ms2468×body640valid
291.0ms7922×body80nan
212.0ms1231×body320valid
72.0ms675×body160valid
11.0ms210×body80valid

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