Details

Time bar (total: 11.7s)

sample90.0ms

Algorithm
intervals
Results
16.0ms183×body80valid
11.0ms25×body1280valid
9.0ms25×body640valid
8.0ms120×body80nan
4.0ms11×body1280nan
4.0ms17×body320valid
2.0ms11×body320nan
2.0ms7×body640nan
1.0ms6×body160valid
0.0ms2×body160nan

simplify140.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
0.0b
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite197.0ms

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:
27.0ms
(/ (- x y) (- 1.0 y))
54.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
48.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
61.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (- x y) (- 1.0 y))
148.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
87.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
126.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify620.0ms

Counts
120 → 120

prune328.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))))
1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite194.0ms

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:
24.0ms
(/ (- x y) (- 1.0 y))
36.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
79.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
48.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series462.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ (- x y) (- 1.0 y))
179.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
165.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
58.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify725.0ms

Counts
156 → 156

prune486.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
0.0b
(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b
(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
165×add-sqr-sqrt
128×times-frac
109×*-un-lft-identity
90×log-prod
65×add-cube-cbrt
60×sqrt-prod
42×associate-+r+
40×difference-of-squares
20×distribute-lft-out--
9×pow1 add-exp-log
6×associate-+l+ associate-/r* associate-/r/ add-cbrt-cube associate-/l* add-log-exp
5×log-pow
4×flip3-- flip-- distribute-lft-out
3×div-inv
2×log-div div-exp rem-log-exp
1×cbrt-undiv +-commutative associate-+r- sub-neg frac-2neg flip3-+ diff-log div-sub clear-num sum-log flip-+ associate--r-
Counts
4 → 195
Calls
4 calls:
86.0ms
(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
39.0ms
(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
91.0ms
(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
59.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series964.0ms

Counts
4 → 12
Calls
4 calls:
371.0ms
(+ (log (sqrt (exp 1.0))) (log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
285.0ms
(log (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
245.0ms
(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
63.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify827.0ms

Counts
207 → 207

prune932.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
0.0b
(- (* 2 (log (sqrt (exp 1.0)))) (log (- 1.0 (/ (- x y) (- 1.0 y)))))
1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))
4.3b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
52×*-un-lft-identity
28×times-frac
24×log-prod
22×add-cube-cbrt
18×difference-of-squares
15×distribute-lft-out--
12×associate--l+
7×add-exp-log add-log-exp
6×distribute-rgt-in flip3-- distribute-lft-in sqrt-prod add-cbrt-cube flip-- associate--r+
5×pow1 associate-/r* associate-/l*
4×log-div
3×associate--r-
2×sub-neg diff-log div-sub associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num log-pow div-inv
Counts
4 → 117
Calls
4 calls:
24.0ms
(/ (- x y) (- 1.0 y))
49.0ms
(- (* 2 (log (sqrt (exp 1.0)))) (log (- 1.0 (/ (- x y) (- 1.0 y)))))
38.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
36.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series498.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ (- x y) (- 1.0 y))
238.0ms
(- (* 2 (log (sqrt (exp 1.0)))) (log (- 1.0 (/ (- x y) (- 1.0 y)))))
77.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
128.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify580.0ms

Counts
129 → 129

prune557.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 17.9b

bsearch2.0ms

simplify917.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
485.0ms5753×body80valid
331.0ms816×body1280valid
243.0ms3705×body80nan
208.0ms754×body640valid
120.0ms342×body1280nan
72.0ms450×body320valid
70.0ms361×body640nan
28.0ms200×body320nan
24.0ms227×body160valid
11.0ms116×body160nan