Details

Time bar (total: 4.2s)

sample61.0ms

Algorithm
intervals
Results
37.0ms80×body1280valid
9.0ms46×body640valid
3.0ms30×body320valid
2.0ms87×body80valid
2.0ms103×body80nan
1.0ms13×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

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: 39.5b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

3.9b
(log (+ 1.0 x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×log-prod *-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
1×flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(log (+ 1.0 x))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(log (+ 1.0 x))

simplify41.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
012295
132786
2116181
3500278

prune34.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.1b

Counts
19 → 3

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite31.0ms

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:
25.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify56.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0531638
12305526
25002525

prune195.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0.1b

Counts
116 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* x x))
0.0b
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
1.6b
(log (- (* 1.0 1.0) (* x x)))
3.9b
(log (- 1.0 x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
16×*-un-lft-identity
14×add-sqr-sqrt
10×pow1
8×add-cube-cbrt log-div
6×add-exp-log flip3-- log-pow flip-- distribute-lft-out-- add-log-exp difference-of-squares
5×associate--r+
4×associate--l+ add-cbrt-cube
2×associate--l- sub-neg diff-log rem-log-exp associate--r-
Counts
4 → 74
Calls
4 calls:
3.0ms
(- (* 1.0 1.0) (* x x))
9.0ms
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
7.0ms
(log (- (* 1.0 1.0) (* x x)))
3.0ms
(log (- 1.0 x))

series330.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* 1.0 1.0) (* x x))
111.0ms
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
132.0ms
(log (- (* 1.0 1.0) (* x x)))
43.0ms
(log (- 1.0 x))

simplify174.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (166.0ms)

IterNodesCost
0370634
11176592
24916549
35001539

prune165.0ms

Filtered
86 candidates to 67 candidates (77.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84286
Fresh000
Picked101
Done022
Total85489

Merged error: 0.0b

Counts
89 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- 1.0 (* 1.0 x)))
0.0b
(+ (* 1/3 (/ (pow x 3) (pow 1.0 3))) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.1b
(* 1/3 (/ (pow x 3) (pow 1.0 3)))
9.2b
(+ (+ (* 1/3 (/ (pow x 3) (pow 1.0 3))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* x (- 1.0 (* 1.0 x))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
160×times-frac
151×associate-*r*
124×add-sqr-sqrt
80×add-cube-cbrt unpow-prod-down *-un-lft-identity cube-prod
32×sqr-pow
29×add-exp-log
24×cube-mult unpow3
18×unswap-sqr
15×associate-*r/
11×prod-exp add-cbrt-cube add-log-exp
9×div-exp frac-add
8×pow1
6×pow-to-exp associate-*l* pow-exp
4×distribute-rgt-in sub-neg associate-+r+ flip3-- distribute-lft-in flip3-+ sum-log flip-- flip-+
3×cbrt-unprod
2×+-commutative pow-prod-down *-commutative
1×cbrt-undiv associate-+l+ div-inv
Counts
4 → 249
Calls
4 calls:
5.0ms
(* x (- 1.0 (* 1.0 x)))
15.0ms
(+ (* 1/3 (/ (pow x 3) (pow 1.0 3))) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
34.0ms
(* 1/3 (/ (pow x 3) (pow 1.0 3)))
22.0ms
(+ (+ (* 1/3 (/ (pow x 3) (pow 1.0 3))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* x (- 1.0 (* 1.0 x))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* x (- 1.0 (* 1.0 x)))
176.0ms
(+ (* 1/3 (/ (pow x 3) (pow 1.0 3))) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
78.0ms
(* 1/3 (/ (pow x 3) (pow 1.0 3)))
63.0ms
(+ (+ (* 1/3 (/ (pow x 3) (pow 1.0 3))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* x (- 1.0 (* 1.0 x))))

simplify58.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010581966
150011778

prune541.0ms

Filtered
261 candidates to 136 candidates (52.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2601261
Fresh011
Picked101
Done022
Total2614265

Merged error: 0.0b

Counts
265 → 4

regimes96.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04633
14633

end0.0ms

sample1.7s

Algorithm
intervals
Results
988.0ms2234×body1280valid
356.0ms1683×body640valid
98.0ms896×body320valid
60.0ms2774×body80valid
39.0ms2702×body80nan
25.0ms413×body160valid