Details

Time bar (total: 5.6s)

sample111.0ms

Algorithm
intervals
Results
58.0ms115×body1280valid
23.0ms79×body640valid
9.0ms246×body80nan
6.0ms33×body320valid
3.0ms23×body160valid
0.0ms6×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune6.0ms

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: 58.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.4b
(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)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune155.0ms

Filtered
88 candidates to 58 candidates (34.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New83588
Fresh000
Picked011
Done000
Total83689

Merged error: 0.1b

Counts
89 → 6

localize12.0ms

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

prune206.0ms

Filtered
113 candidates to 68 candidates (39.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh044
Picked011
Done011
Total1136119

Merged error: 0.1b

Counts
119 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
0.0b
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
5.5b
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
5.5b
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite104.0ms

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:
20.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
31.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
5.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
18.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
11.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
4.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
5.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify111.0ms

Algorithm
egg-herbie
Counts
415 → 415
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
09635315
131915218
250015193

prune1.1s

Filtered
415 candidates to 205 candidates (50.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4132415
Fresh123
Picked101
Done202
Total4174421

Merged error: 0.0b

Counts
421 → 4

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 1.6666666666666665 (pow x 3)) (+ (* 2 (log 1.0)) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))
0.1b
(* 1.6666666666666665 (pow x 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×add-log-exp
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×diff-log associate-*l* prod-exp sum-log
2×pow1 associate-*r/ frac-sub sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- flip3-+ unpow3 pow-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+
Counts
2 → 48
Calls
2 calls:
10.0ms
(- (+ (* 1.6666666666666665 (pow x 3)) (+ (* 2 (log 1.0)) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))
6.0ms
(* 1.6666666666666665 (pow x 3))

series14.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (+ (* 1.6666666666666665 (pow x 3)) (+ (* 2 (log 1.0)) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))
4.0ms
(* 1.6666666666666665 (pow x 3))

simplify48.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0318498
11450460
25002440

prune113.0ms

Filtered
54 candidates to 34 candidates (37.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New53154
Fresh033
Picked011
Done000
Total53558

Merged error: 0.0b

Counts
58 → 5

regimes39.0ms

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

sample3.3s

Algorithm
intervals
Results
1.7s3386×body1280valid
733.0ms2538×body640valid
296.0ms8045×body80nan
218.0ms1237×body320valid
72.0ms642×body160valid
10.0ms197×body80valid

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