Details

Time bar (total: 5.5s)

sample97.0ms

Algorithm
intervals
Results
51.0ms115×body1280valid
19.0ms80×body640valid
7.0ms249×body80nan
6.0ms40×body320valid
1.0ms15×body160valid
0.0ms6×body80valid

simplify13.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.6b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite21.0ms

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:
11.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (+ 1.0 x) (- 1.0 x))
127.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify116.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune192.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New83588
Fresh000
Picked101
Done000
Total84589

Merged error: 0.1b

Counts
89 → 5

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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:
23.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0528643
12205526
25001525

prune281.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh134
Picked011
Done000
Total1135118

Merged error: 0.1b

Counts
118 → 5

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.3b
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp
5×pow1
3×log-prod associate-*l* log-pow add-log-exp
2×cbrt-unprod
1×cbrt-undiv exp-prod exp-to-pow associate-*r/ rem-log-exp pow-prod-down *-commutative div-inv
Counts
2 → 124
Calls
2 calls:
24.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series108.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
51.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0546743
12231610
25001609

prune368.0ms

Filtered
130 candidates to 80 candidates (61.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh033
Picked011
Done011
Total1305135

Merged error: 0.1b

Counts
135 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.8b
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
4.8b
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
128×*-un-lft-identity
84×add-sqr-sqrt
80×times-frac
58×log-prod
52×sqrt-prod
48×add-cube-cbrt
22×distribute-lft-out
18×distribute-lft-out-- difference-of-squares
10×add-exp-log associate-/r*
8×pow1 associate-/r/ add-cbrt-cube associate-/l*
6×log-pow
4×flip3-- flip-- div-inv associate-/l/ add-log-exp
2×cbrt-undiv log-div frac-2neg sqrt-pow1 flip3-+ pow1/2 sqrt-div div-exp rem-log-exp clear-num flip-+
Counts
4 → 172
Calls
4 calls:
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
8.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
8.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series465.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (+ 1.0 x) (- 1.0 x))
40.0ms
(/ (+ 1.0 x) (- 1.0 x))
197.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
194.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify50.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03651614
111381530
250011442

prune417.0ms

Filtered
184 candidates to 122 candidates (66.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1831184
Fresh022
Picked101
Done022
Total1845189

Merged error: 0.1b

Counts
189 → 5

regimes29.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3471×body1280valid
604.0ms2445×body640valid
234.0ms8139×body80nan
179.0ms1226×body320valid
61.0ms647×body160valid
9.0ms211×body80valid