Details

Time bar (total: 5.8s)

sample100.0ms

Algorithm
intervals
Results
57.0ms124×body1280valid
19.0ms74×body640valid
7.0ms222×body80nan
6.0ms38×body320valid
1.0ms13×body160valid
0.0ms7×body80valid

simplify14.0ms

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: 58.9b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.3b
(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)))

series222.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (+ 1.0 x) (- 1.0 x))
171.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify127.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune164.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh000
Picked101
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)))

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:
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify52.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0528643
12205526
25001525

prune214.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh033
Picked011
Done000
Total1134117

Merged error: 0.2b

Counts
117 → 4

localize21.0ms

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)))))
4.3b
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
4.3b
(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:
22.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
33.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
20.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
6.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series406.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
232.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
65.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
64.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify118.0ms

Algorithm
egg-herbie
Counts
415 → 415
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
09555307
131215214
250025189

prune856.0ms

Filtered
415 candidates to 205 candidates (49.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4123415
Fresh202
Picked101
Done101
Total4163419

Merged error: 0.0b

Counts
419 → 3

localize17.0ms

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))

rewrite18.0ms

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))

series130.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(- (+ (* 1.6666666666666665 (pow x 3)) (+ (* 2 (log 1.0)) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))
40.0ms
(* 1.6666666666666665 (pow x 3))

simplify50.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0318498
11450460
25002442

prune119.0ms

Filtered
54 candidates to 34 candidates (63.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New53154
Fresh022
Picked101
Done000
Total54357

Merged error: 0.0b

Counts
57 → 3

regimes19.0ms

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
0219
1219

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.6s3428×body1280valid
646.0ms2525×body640valid
247.0ms8036×body80nan
190.0ms1241×body320valid
57.0ms588×body160valid
9.0ms218×body80valid

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