Details

Time bar (total: 14.5s)

sample49.0ms

Algorithm
intervals
Results
9.0ms180×body80valid
7.0ms30×body1280valid
4.0ms106×body80nan
4.0ms22×body640valid
2.0ms18×body320valid
2.0ms9×body1280nan
2.0ms10×body640nan
1.0ms6×body320nan
0.0ms6×body160valid
0.0ms2×body160nan

simplify974.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
92335
8741
7343
6223
5123
475
341
229
119
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize24.0ms

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))
1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite129.0ms

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 clear-num frac-2neg div-exp rem-log-exp div-inv
Counts
4 → 108
Calls
4 calls:
33.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
19.0ms
(/ (- x y) (- 1.0 y))
34.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
39.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
59.0ms
(/ (- x y) (- 1.0 y))
84.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
109.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.1s

Counts
120 → 120
Iterations
IterNodes
done5000
21712
1498
0204

prune656.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))
1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
3.4b
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
18×log-prod
16×*-un-lft-identity
12×sqrt-prod
8×pow1 add-cube-cbrt add-log-exp difference-of-squares
6×add-exp-log log-pow
4×log-div times-frac flip3-- add-cbrt-cube sqrt-div flip-- distribute-lft-out--
2×sub-neg sqrt-pow1 pow1/2 diff-log div-sub rem-log-exp associate--r-
Counts
4 → 76
Calls
4 calls:
30.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
36.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
52.0ms
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
47.0ms
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series646.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
60.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
385.0ms
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
143.0ms
(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify1.3s

Counts
88 → 88
Iterations
IterNodes
done5000
32790
2655
1229
0114

prune547.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

1.7b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.4b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×log-prod
15×*-un-lft-identity
8×difference-of-squares
7×pow1 add-exp-log add-cube-cbrt
6×log-div add-log-exp
4×times-frac flip3-- add-cbrt-cube flip-- distribute-lft-out--
3×rem-log-exp log-pow
1×sub-neg diff-log div-sub associate--r-
Counts
4 → 67
Calls
4 calls:
38.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
29.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
28.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
32.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series445.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
107.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
130.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
129.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.5s

Counts
79 → 79
Iterations
IterNodes
done5000
32635
2587
1198
091

prune500.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y))
3.2b
(log (- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y)))
4.3b
(+ (/ x y) (/ (* 1.0 x) (* y y)))
7.3b
(/ (* 1.0 x) (* y y))

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
17×add-exp-log
16×add-cbrt-cube
15×add-sqr-sqrt
11×add-log-exp
7×log-prod times-frac
6×frac-sub
5×pow1 log-div add-cube-cbrt
4×cbrt-undiv div-exp prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
3×flip3-+ frac-add flip-+ distribute-lft-out
2×sum-log distribute-rgt-out flip3-- diff-log flip--
1×+-commutative clear-num associate-/r* sub-neg frac-2neg rem-log-exp distribute-rgt1-in associate--l+ log-pow div-inv associate-/l*
Counts
4 → 79
Calls
4 calls:
200.0ms
(- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y))
66.0ms
(log (- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y)))
20.0ms
(+ (/ x y) (/ (* 1.0 x) (* y y)))
12.0ms
(/ (* 1.0 x) (* y y))

series246.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y))
81.0ms
(log (- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y)))
66.0ms
(+ (/ x y) (/ (* 1.0 x) (* y y)))
50.0ms
(/ (* 1.0 x) (* y y))

simplify1.8s

Counts
91 → 91
Iterations
IterNodes
done5000
22919
1462
0174

prune406.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.5b

bsearch159.0ms

Steps
ItersRangePoint
7
383123.6636286385
64260609.3427585
43744445.70071104
5
-83422883652835.42
-34132302576650.152
-34474611802046.883

simplify8.0ms

Iterations
IterNodes
done36
136
033

end0.0ms

sample2.5s

Algorithm
intervals
Results
614.0ms3770×body80nan
569.0ms5674×body80valid
307.0ms786×body1280valid
187.0ms826×body640valid
88.0ms345×body1280nan
79.0ms412×body640nan
73.0ms461×body320valid
68.0ms192×body320nan
26.0ms253×body160valid
12.0ms120×body160nan