Details

Time bar (total: 17.3s)

sample77.0ms

Algorithm
intervals
Results
14.0ms133×body80nan
13.0ms180×body80valid
9.0ms28×body1280valid
7.0ms25×body640valid
4.0ms15×body1280nan
2.0ms13×body320valid
2.0ms8×body640nan
1.0ms10×body160valid
1.0ms6×body320nan
0.0ms2×body160nan

simplify136.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11912
22912
34112
45412
56212
67012
78512
810312
911612
done11612

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize10.0ms

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))
2.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
5.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite167.0ms

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:
41.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
27.0ms
(/ (- x y) (- 1.0 y))
52.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
40.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
53.0ms
(/ (- x y) (- 1.0 y))
72.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
100.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.7s

Counts
120 → 120
Iterations

Useful iterations: 3 (867.0ms)

IterNodesCost
02051894
14891792
212261680
332671671
done50001671

prune473.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b
(/ (- x y) (- 1.0 y))
0.1b
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.6b
(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite208.0ms

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:
39.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
24.0ms
(/ (- x y) (- 1.0 y))
78.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
62.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
55.0ms
(/ (- x y) (- 1.0 y))
147.0ms
(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
76.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.7s

Counts
156 → 156
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
02672917
16222789
215462647
340002594
done50002594

prune534.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (exp 1.0) (- x y)) (exp 1.0))
0.3b
(log (* 1.0 (+ (* (exp 1.0) (- x y)) (exp 1.0))))
0.4b
(* (exp 1.0) (- x y))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×pow1
7×add-exp-log *-un-lft-identity
5×add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in associate-*r/
3×associate-*l*
2×log-div flip3-+ rem-log-exp pow-prod-down prod-exp log-pow flip-+
1×+-commutative log-prod flip3-- sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 55
Calls
3 calls:
31.0ms
(+ (* (exp 1.0) (- x y)) (exp 1.0))
31.0ms
(log (* 1.0 (+ (* (exp 1.0) (- x y)) (exp 1.0))))
48.0ms
(* (exp 1.0) (- x y))

series388.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(+ (* (exp 1.0) (- x y)) (exp 1.0))
209.0ms
(log (* 1.0 (+ (* (exp 1.0) (- x y)) (exp 1.0))))
83.0ms
(* (exp 1.0) (- x y))

simplify2.9s

Counts
64 → 64
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0116810
1281752
2946656
34181635
done5001626

prune182.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (- 1.0 (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
2.5b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
13.0b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
13.1b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

rewrite599.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
48×difference-of-squares
39×log-prod
38×*-un-lft-identity
36×unpow-prod-down cube-prod
20×sqr-pow
16×times-frac
14×distribute-lft-out--
11×pow1
8×log-div add-log-exp
7×add-cube-cbrt log-pow
6×add-exp-log distribute-lft-out
4×associate-+l+ add-cbrt-cube
3×associate-+r+ flip3-- flip3-+ flip-- flip-+
2×difference-cubes associate-+r- sub-neg diff-log rem-log-exp sum-log associate--r-
1×+-commutative associate-+l-
Counts
4 → 128
Calls
4 calls:
205.0ms
(+ (- 1.0 (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
176.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
92.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
116.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

series1.3s

Counts
4 → 12
Calls
4 calls:
456.0ms
(+ (- 1.0 (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
209.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
198.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
455.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

simplify1.2s

Counts
140 → 140
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02495128
16114357
218004126
done50014109

prune544.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 18.4b

bsearch154.0ms

Steps
ItersRangePoint
8
249.10217458544693
6884452.324493753
6764068.667720944
8
-3892407191.414854
-7654410.146863867
-231188405.82678422

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02453
13138
done3138

end0.0ms

sample2.9s

Algorithm
intervals
Results
679.0ms3716×body80nan
532.0ms5668×body80valid
442.0ms850×body1280valid
240.0ms769×body640valid
158.0ms352×body1280nan
131.0ms381×body640nan
85.0ms443×body320valid
47.0ms227×body320nan
36.0ms270×body160valid
13.0ms115×body160nan