Details

Time bar (total: 16.9s)

sample70.0ms

Algorithm
intervals
Results
13.0ms178×body80valid
9.0ms25×body1280valid
7.0ms28×body640valid
6.0ms109×body80nan
3.0ms14×body320valid
2.0ms11×body640nan
2.0ms7×body1280nan
2.0ms10×body320nan
1.0ms11×body160valid
0.0ms4×body160nan

simplify137.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b
(/ (- x y) (- 1.0 y))
2.9b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
51×*-un-lft-identity
28×times-frac
19×difference-of-squares
18×add-cube-cbrt
17×distribute-lft-out--
12×log-prod
7×add-exp-log add-log-exp
6×pow1 flip3-- add-cbrt-cube flip-- associate--r+
5×associate-/r* associate-/l*
4×log-div
3×associate--r-
2×sub-neg diff-log div-sub associate-/r/ log-pow associate-/l/
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 108
Calls
4 calls:
56.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
36.0ms
(/ (- x y) (- 1.0 y))
50.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
69.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
49.0ms
(/ (- x y) (- 1.0 y))
77.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
123.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify508.0ms

Counts
120 → 120

prune327.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
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))))
2.9b
(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
77×*-un-lft-identity
69×times-frac
37×add-cube-cbrt
28×difference-of-squares
24×log-prod
20×distribute-lft-out--
11×associate-/r*
9×add-exp-log
8×add-cbrt-cube associate-/l*
6×associate-/r/ add-log-exp
5×pow1 flip3-- flip--
3×div-exp div-inv
2×cbrt-undiv frac-2neg div-sub rem-log-exp clear-num associate-/l/
1×sub-neg log-div diff-log log-pow associate--r-
Counts
4 → 144
Calls
4 calls:
29.0ms
(/ (- x y) (- 1.0 y))
39.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
71.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
40.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series478.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (- x y) (- 1.0 y))
186.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
165.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
68.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify789.0ms

Counts
156 → 156

prune490.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (exp 1.0)) (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b
(/ (sqrt (exp 1.0)) (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
2.9b
(- 1.0 (/ (- x y) (- 1.0 y)))
2.9b
(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
152×add-sqr-sqrt
144×sqrt-prod
124×times-frac
104×*-un-lft-identity
72×add-cube-cbrt
32×difference-of-squares
18×associate-/r*
16×distribute-lft-out--
12×associate-/l*
8×add-exp-log add-cbrt-cube add-log-exp
4×pow1 flip3-- sqrt-div associate-/r/ flip--
2×cbrt-undiv sub-neg sqrt-undiv frac-2neg diff-log div-sub div-exp clear-num div-inv associate--r-
Counts
4 → 200
Calls
4 calls:
74.0ms
(/ (sqrt (exp 1.0)) (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
93.0ms
(/ (sqrt (exp 1.0)) (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
50.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
57.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
708.0ms
(/ (sqrt (exp 1.0)) (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
397.0ms
(/ (sqrt (exp 1.0)) (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
54.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
60.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.0s

Counts
212 → 212

prune883.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))) (sqrt (exp 1.0))))
0.1b
(/ (sqrt (exp 1.0)) (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
2.9b
(- 1.0 (/ (- x y) (- 1.0 y)))
2.9b
(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
386×add-sqr-sqrt
324×sqrt-prod
287×*-un-lft-identity
221×add-cube-cbrt
67×associate-/r*
66×difference-of-squares
33×distribute-lft-out--
17×add-exp-log
11×add-cbrt-cube
9×associate-/l*
8×div-exp add-log-exp
6×div-inv
5×pow1
4×cbrt-undiv
3×flip3-- associate-/r/ flip--
2×sub-neg rec-exp frac-2neg sqrt-div diff-log 1-exp div-sub clear-num associate--r-
1×sqrt-undiv pow-flip inv-pow
Counts
4 → 372
Calls
4 calls:
106.0ms
(/ 1 (/ (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))) (sqrt (exp 1.0))))
113.0ms
(/ (sqrt (exp 1.0)) (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
59.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
35.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series824.0ms

Counts
4 → 12
Calls
4 calls:
323.0ms
(/ 1 (/ (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))) (sqrt (exp 1.0))))
349.0ms
(/ (sqrt (exp 1.0)) (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
72.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
80.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify1.7s

Counts
384 → 384

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes211.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 18.2b

bsearch207.0ms

Steps
ItersRangePoint
11
1.1818035649232606e-17
4.3576843107348035e+18
24595131.318513438
4
-142867131171.3709
-100850330494.94238
-102078540239.5281

simplify1.6s

end0.0ms

sample2.4s

Algorithm
intervals
Results
701.0ms798×body1280valid
400.0ms5704×body80valid
241.0ms796×body640valid
184.0ms3537×body80nan
179.0ms467×body320valid
95.0ms367×body1280nan
78.0ms405×body640nan
29.0ms235×body160valid
26.0ms185×body320nan
13.0ms134×body160nan