Details

Time bar (total: 5.8s)

sample110.0ms

Algorithm
intervals
Results
55.0ms100×body1280valid
24.0ms82×body640valid
9.0ms250×body80nan
8.0ms46×body320valid
2.0ms17×body160valid
1.0ms11×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: 57.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.9b
(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)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ 1.0 x) (- 1.0 x))
124.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune163.0ms

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)))

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:
21.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0528643
12205526
25001525

prune224.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh055
Picked011
Done000
Total1136119

Merged error: 0.3b

Counts
119 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.9b
(log (- 1.0 x))
5.9b
(log (+ 1.0 x))

rewrite17.0ms

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:
9.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

series342.0ms

Counts
3 → 9
Calls
3 calls:
255.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
46.0ms
(log (- 1.0 x))
41.0ms
(log (+ 1.0 x))

simplify75.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0302431
1776410
22776393
35001393

prune139.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New69170
Fresh224
Picked101
Done101
Total73376

Merged error: 0.0b

Counts
76 → 3

localize19.0ms

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)))

rewrite100.0ms

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:
21.0ms
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
18.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
45.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series279.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
101.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
79.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify57.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012321948
150011750

prune600.0ms

Filtered
302 candidates to 162 candidates (53.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3002302
Fresh022
Picked011
Done000
Total3005305

Merged error: 0.0b

Counts
305 → 5

regimes27.0ms

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

sample3.2s

Algorithm
intervals
Results
1.6s3348×body1280valid
719.0ms2505×body640valid
290.0ms7921×body80nan
224.0ms1283×body320valid
72.0ms650×body160valid
11.0ms214×body80valid