Details

Time bar (total: 4.5s)

analyze4.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 99.987787%

sample101.0ms

Algorithm
intervals
Results
65.0ms121×body1280valid
20.0ms68×body640valid
7.0ms38×body320valid
3.0ms25×body160valid
0.0ms4×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
6.4b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite19.0ms

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)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune135.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh000
Picked101
Done000
Total87289

Merged error: 0.2b

Counts
89 → 2

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify53.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0528643
12205526
25001525

prune205.0ms

Filtered
68 candidates to 113 candidates (-66.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh011
Picked011
Done000
Total1123115

Merged error: 0.2b

Counts
115 → 3

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
3.7b
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite33.0ms

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)))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
6.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0546743
12231610
25001609

prune275.0ms

Filtered
80 candidates to 130 candidates (-62.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh011
Picked011
Done011
Total1303133

Merged error: 0.2b

Counts
133 → 3

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))
6.4b
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
6.4b
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite41.0ms

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))
9.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
9.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
8.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify51.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03651614
111381530
250021442

prune376.0ms

Filtered
122 candidates to 184 candidates (-50.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1813184
Fresh000
Picked101
Done112
Total1834187

Merged error: 0.1b

Counts
187 → 4

regimes91.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

analyze4.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.048816%

Guaranteed chance to sample good point: 99.987787%

sample2.9s

Algorithm
intervals
Results
1.7s3350×body1280valid
739.0ms2541×body640valid
226.0ms1241×body320valid
75.0ms659×body160valid
11.0ms209×body80valid

Profiling

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