Details

Time bar (total: 6.1s)

sample111.0ms

Algorithm
intervals
Results
62.0ms120×body1280valid
21.0ms73×body640valid
9.0ms242×body80nan
6.0ms33×body320valid
2.0ms19×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: 57.4b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.6b
(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:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (+ 1.0 x) (- 1.0 x))
116.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify121.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune168.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81788
Fresh000
Picked101
Done000
Total82789

Merged error: 0.3b

Counts
89 → 7

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:
20.0ms
(* 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)))

simplify55.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0528707
12647524
25001523

prune229.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh066
Picked011
Done000
Total1137120

Merged error: 0.3b

Counts
120 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (+ 1.0 x) (- 1.0 x)))
0.0b
(log (exp (/ (+ 1.0 x) (- 1.0 x))))
0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.6b
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
123×*-un-lft-identity
81×add-sqr-sqrt
80×times-frac
78×exp-prod
55×log-pow
47×add-cube-cbrt
33×log-prod
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
8×associate-/r/
7×pow1 add-exp-log
6×add-cbrt-cube
5×associate-/r* add-log-exp
4×flip3-- flip-- div-inv associate-/l*
2×rem-log-exp associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ rem-exp-log
Counts
4 → 156
Calls
4 calls:
9.0ms
(exp (/ (+ 1.0 x) (- 1.0 x)))
10.0ms
(log (exp (/ (+ 1.0 x) (- 1.0 x))))
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
11.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

series276.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(exp (/ (+ 1.0 x) (- 1.0 x)))
31.0ms
(log (exp (/ (+ 1.0 x) (- 1.0 x))))
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
125.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

simplify167.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04051167
111791066
247441028
350011028

prune278.0ms

Filtered
168 candidates to 110 candidates (65.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1644168
Fresh325
Picked011
Done011
Total1678175

Merged error: 0.2b

Counts
175 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (log (log (exp (/ (+ 1.0 x) (- 1.0 x))))))
5.6b
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
5.6b
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
5.6b
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
92×*-un-lft-identity
90×log-prod
85×log-pow
78×exp-prod
62×add-sqr-sqrt
60×times-frac
38×add-cube-cbrt
15×distribute-lft-out
12×distribute-lft-out-- difference-of-squares
11×pow1
7×add-exp-log
6×associate-/r/
4×cbrt-prod add-cbrt-cube add-log-exp
3×flip3-- rem-log-exp flip-- div-inv
1×pow1/3
Counts
4 → 129
Calls
4 calls:
1.0ms
(cbrt (log (log (exp (/ (+ 1.0 x) (- 1.0 x))))))
10.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
12.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
10.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

series611.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt (log (log (exp (/ (+ 1.0 x) (- 1.0 x))))))
113.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
118.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
118.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

simplify131.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
03811517
110371326
244211254
350021254

prune390.0ms

Filtered
141 candidates to 99 candidates (70.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1383141
Fresh235
Picked101
Done022
Total1418149

Merged error: 0.2b

Counts
149 → 8

regimes86.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s3404×body1280valid
685.0ms2473×body640valid
276.0ms7952×body80nan
213.0ms1262×body320valid
69.0ms664×body160valid
10.0ms197×body80valid

Profiling

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