Details

Time bar (total: 4.9s)

sample115.0ms

Algorithm
intervals
Results
57.0ms114×body1280valid
23.0ms77×body640valid
10.0ms279×body80nan
6.0ms35×body320valid
3.0ms25×body160valid
0.0ms5×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
7.8b
(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))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune139.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh000
Picked101
Done000
Total85489

Merged error: 0.1b

Counts
89 → 4

localize13.0ms

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)))

series5.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0528643
12205526
25001525

prune202.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh033
Picked011
Done000
Total1134117

Merged error: 0.1b

Counts
117 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
7.8b
(log (+ 1.0 x))
7.8b
(log (/ 1 (- 1.0 x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
37×add-sqr-sqrt
30×times-frac
25×log-prod
23×add-cube-cbrt
13×add-exp-log
7×pow1 distribute-lft-out-- difference-of-squares
5×rem-log-exp associate-/r* add-cbrt-cube
4×div-exp associate-/r/ log-pow
3×log-div associate-/l* add-log-exp
2×rec-exp flip3-- pow-flip 1-exp flip-- div-inv inv-pow
1×cbrt-undiv frac-2neg flip3-+ log-rec clear-num flip-+ distribute-lft-out
Counts
3 → 93
Calls
3 calls:
5.0ms
(/ 1 (- 1.0 x))
3.0ms
(log (+ 1.0 x))
5.0ms
(log (/ 1 (- 1.0 x)))

series8.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1 (- 1.0 x))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (/ 1 (- 1.0 x)))

simplify143.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0358576
11181513
24914452
35002452

prune115.0ms

Filtered
56 candidates to 102 candidates (-82.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh112
Picked101
Done011
Total1033106

Merged error: 0.1b

Counts
106 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
7.8b
(log (/ (+ 1.0 x) (- 1.0 x)))
7.8b
(log (/ (+ 1.0 x) (- 1.0 x)))
7.8b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
78×log-prod
60×times-frac
59×add-sqr-sqrt
35×add-cube-cbrt
15×distribute-lft-out
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
8×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod log-pow add-cbrt-cube add-log-exp
3×log-div flip3-- div-exp flip-- div-inv
1×pow1/3
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify133.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
03481228
110151158
243991100
350021098

prune337.0ms

Filtered
89 candidates to 135 candidates (-51.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1341135
Fresh011
Picked101
Done011
Total1353138

Merged error: 0.1b

Counts
138 → 3

regimes32.0ms

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

sample3.3s

Algorithm
intervals
Results
1.7s3365×body1280valid
725.0ms2483×body640valid
300.0ms7946×body80nan
240.0ms1304×body320valid
70.0ms636×body160valid
11.0ms212×body80valid

Profiling

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