Details

Time bar (total: 5.3s)

sample48.0ms

Algorithm
intervals
Results
8.0ms169×body80valid
8.0ms32×body1280valid
5.0ms28×body1280nan
5.0ms28×body640valid
4.0ms27×body640nan
3.0ms88×body80nan
2.0ms20×body320valid
1.0ms12×body320nan
1.0ms7×body160valid
0.0ms6×body160nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1296
2416
3606
4786
5946
61096
71396
82146
92796
102796

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: 21.5b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
1.9b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.1b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
14×*-un-lft-identity
12×log-prod
7×difference-of-squares
6×associate--r+ add-log-exp
5×pow1 add-cube-cbrt distribute-lft-out--
4×add-exp-log log-div flip3-- flip--
3×times-frac add-cbrt-cube associate--r-
2×sub-neg diff-log log-pow
1×div-sub rem-log-exp
Counts
3 → 56
Calls
3 calls:
16.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
16.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series222.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
49.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
83.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0285579
1755546
23098528
35002528

prune143.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New62365
Fresh000
Picked101
Done000
Total63366

Merged error: 0.0b

Counts
66 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.9b
(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×times-frac
40×*-un-lft-identity
24×add-cube-cbrt log-prod
16×difference-of-squares
8×distribute-lft-out--
6×add-exp-log associate-/r*
5×add-cbrt-cube add-log-exp
4×pow1 associate-/r/
3×flip3-- flip-- associate-/l*
2×div-exp rem-log-exp div-inv
1×cbrt-undiv sub-neg log-div frac-2neg diff-log div-sub clear-num log-pow associate--r-
Counts
3 → 92
Calls
3 calls:
30.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
28.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
23.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series327.0ms

Counts
3 → 9
Calls
3 calls:
147.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
122.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
57.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
04211183
113351115
250021084

prune217.0ms

Filtered
101 candidates to 80 candidates (79.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New992101
Fresh112
Picked101
Done000
Total1013104

Merged error: 0b

Counts
104 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))))
0.1b
(/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0))))
0.1b
(/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))
1.9b
(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
1070×times-frac
865×add-sqr-sqrt
607×*-un-lft-identity
498×sqrt-prod
435×add-cube-cbrt
245×log-prod
172×difference-of-squares
86×distribute-lft-out--
46×associate-/r*
17×add-exp-log
16×div-inv
12×associate-/l*
11×add-cbrt-cube
7×div-exp
6×add-log-exp
5×pow1
4×cbrt-undiv
3×rem-log-exp
2×flip3-- frac-2neg div-sub clear-num associate-/r/ flip-- associate-/l/
1×sub-neg log-div diff-log log-pow associate--r-
Counts
4 → 637
Calls
4 calls:
34.0ms
(log (/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))))
26.0ms
(/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0))))
18.0ms
(/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))
16.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(log (/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))))
124.0ms
(/ (sqrt (exp 1.0)) (/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0))))
201.0ms
(/ (- 1.0 (/ (- x y) (- 1.0 y))) (sqrt (exp 1.0)))
51.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify163.0ms

Algorithm
egg-herbie
Counts
649 → 649
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0166114445
1500113440

prune1.0s

Filtered
649 candidates to 283 candidates (43.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New6490649
Fresh022
Picked011
Done000
Total6493652

Merged error: 0b

Counts
652 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
0.0b
(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
1.9b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.1b
(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
65×times-frac
60×*-un-lft-identity
48×log-prod
35×add-cube-cbrt
24×associate-+r+
22×difference-of-squares
13×add-exp-log
11×distribute-lft-out--
8×pow1
7×add-log-exp
6×associate-/r* associate-/r/ add-cbrt-cube
4×flip3-- div-exp rem-log-exp log-pow flip--
3×log-rec div-inv associate-/l*
2×log-div rec-exp pow-flip 1-exp distribute-lft-out inv-pow
1×cbrt-undiv +-commutative associate-+r- sub-neg frac-2neg flip3-+ diff-log div-sub unsub-neg clear-num sum-log flip-+ associate--r-
Counts
4 → 141
Calls
4 calls:
19.0ms
(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
15.0ms
(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
17.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
15.0ms
(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
75.0ms
(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
55.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
114.0ms
(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05011453
115661333
250021198

prune233.0ms

Filtered
153 candidates to 93 candidates (60.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh011
Picked011
Done011
Total1533156

Merged error: 0b

Counts
156 → 3

regimes140.0ms

Accuracy

97.4% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 18.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03023
13023

end0.0ms

sample1.3s

Algorithm
intervals
Results
262.0ms5625×body80valid
190.0ms809×body1280valid
143.0ms858×body640valid
119.0ms674×body1280nan
106.0ms779×body640nan
92.0ms2694×body80nan
60.0ms457×body320valid
45.0ms448×body320nan
20.0ms251×body160valid
16.0ms235×body160nan

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