Details

Time bar (total: 5.6s)

sample103.0ms

Algorithm
intervals
Results
57.0ms119×body1280valid
18.0ms74×body640valid
8.0ms288×body80nan
6.0ms40×body320valid
2.0ms17×body160valid
0.0ms6×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: 58.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.2b
(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)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
123.0ms
(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
35001602

prune152.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New85388
Fresh000
Picked101
Done000
Total86389

Merged error: 0.1b

Counts
89 → 3

localize12.0ms

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)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* 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

prune220.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done000
Total1133116

Merged error: 0.1b

Counts
116 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.3b
(log (+ 1.0 x))
5.3b
(log (- 1.0 x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×log-prod
13×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×log-pow distribute-lft-out--
5×add-exp-log associate--r+
4×associate--l+
3×flip3-- add-cbrt-cube flip-- add-log-exp difference-of-squares
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Counts
3 → 61
Calls
3 calls:
12.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series335.0ms

Counts
3 → 9
Calls
3 calls:
249.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
45.0ms
(log (+ 1.0 x))
41.0ms
(log (- 1.0 x))

simplify72.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0302431
1776410
22776393
35001393

prune136.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New67370
Fresh011
Picked101
Done101
Total69473

Merged error: 0.0b

Counts
73 → 4

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
0.1b
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.1b
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
201×associate-*r*
172×add-sqr-sqrt
128×unpow-prod-down
107×add-cube-cbrt *-un-lft-identity
80×cube-prod
52×sqr-pow
49×add-exp-log
27×unswap-sqr
24×cube-mult unpow3
20×prod-exp
18×div-exp
13×add-cbrt-cube
12×pow-to-exp pow-exp
8×add-log-exp
7×pow1
6×associate-*l*
4×associate-*r/ cbrt-unprod
3×sum-log
2×cbrt-undiv flip3-+ pow-prod-down frac-add *-commutative flip-+ div-inv
1×+-commutative associate-+r+
Counts
3 → 293
Calls
3 calls:
17.0ms
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
16.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
38.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series269.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
96.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
76.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify58.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012321872
150011683

prune792.0ms

Filtered
302 candidates to 162 candidates (53.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3020302
Fresh033
Picked011
Done000
Total3024306

Merged error: 0.0b

Counts
306 → 4

regimes22.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3325×body1280valid
630.0ms2506×body640valid
226.0ms7915×body80nan
194.0ms1294×body320valid
60.0ms664×body160valid
9.0ms211×body80valid