Details

Time bar (total: 17.9s)

sample74.0ms

Algorithm
intervals
Results
14.0ms176×body80valid
9.0ms24×body1280valid
8.0ms27×body640valid
6.0ms106×body80nan
3.0ms16×body320valid
3.0ms8×body1280nan
2.0ms13×body160valid
1.0ms5×body640nan
1.0ms6×body320nan
0.0ms2×body160nan

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0912
11912
22912
34112
47512
512412
620812
732012
877212
9304512
done500112

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
3.5b
(- 1.0 (/ (- x y) (- 1.0 y)))
5.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
27×times-frac
16×add-cube-cbrt difference-of-squares
14×distribute-lft-out--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 flip3-- flip--
2×log-div div-sub associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow div-inv associate--r-
Counts
3 → 85
Calls
3 calls:
29.0ms
(/ (- x y) (- 1.0 y))
46.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
38.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series262.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (- x y) (- 1.0 y))
89.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
112.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify812.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (209.0ms)

IterNodesCost
01711417
14071351
213891266
done50011266

prune385.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
5.0b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
5.7b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×times-frac
25×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×div-exp prod-exp associate-/r/
3×log-prod associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 117
Calls
4 calls:
14.0ms
(/ 1 (- 1.0 y))
96.0ms
(* (- x y) (/ 1 (- 1.0 y)))
8.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
11.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1 (- 1.0 y))
51.0ms
(* (- x y) (/ 1 (- 1.0 y)))
110.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
65.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify4.9s

Counts
129 → 129
Iterations

Useful iterations: done (4.9s)

IterNodesCost
02051754
15081551
233811279
done50001277

prune379.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))))))
3.4b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
10.7b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
10.8b
(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y))))))

rewrite583.0ms

Algorithm
rewrite-expression-head
Rules
148×add-sqr-sqrt
73×difference-of-squares
72×log-prod
54×unpow-prod-down cube-prod
42×*-un-lft-identity
33×associate--l+
30×sqr-pow
24×times-frac
19×distribute-lft-out--
10×pow1
8×add-cube-cbrt log-div
6×add-exp-log log-pow add-log-exp
4×flip3-- add-cbrt-cube flip--
3×difference-cubes associate--r+
2×associate--l- sub-neg flip3-+ diff-log rem-log-exp flip-+ associate--r-
Counts
4 → 157
Calls
4 calls:
179.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))))))
181.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
190.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
14.0ms
(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
603.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y)))))))
273.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
477.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
256.0ms
(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ 1.0 (/ (- x y) (- 1.0 y))))))

simplify1.3s

Counts
169 → 169
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02635772
16135433
220685240
done50005236

prune799.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y))
1.7b
(log (- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y)))
3.0b
(+ (/ x y) (* 1.0 (/ x (pow y 2))))
10.5b
(/ x (pow y 2))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
26×*-un-lft-identity times-frac
22×add-cube-cbrt
12×unpow-prod-down
11×add-log-exp
10×add-exp-log
8×associate-/r*
6×log-prod frac-sub add-cbrt-cube
5×pow1 log-div
4×unpow2 difference-of-squares sqr-pow
3×flip3-+ associate-*r/ div-exp frac-add flip-+ associate-/l*
2×flip3-- diff-log sum-log flip-- distribute-lft-out--
1×cbrt-undiv +-commutative pow-to-exp sub-neg frac-2neg rem-log-exp pow-exp associate--l+ clear-num log-pow div-inv
Counts
4 → 101
Calls
4 calls:
149.0ms
(- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y))
53.0ms
(log (- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y)))
27.0ms
(+ (/ x y) (* 1.0 (/ x (pow y 2))))
14.0ms
(/ x (pow y 2))

series649.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y))
481.0ms
(log (- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y)))
69.0ms
(+ (/ x y) (* 1.0 (/ x (pow y 2))))
43.0ms
(/ x (pow y 2))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02102167
14692038
220111858
done50021856

prune381.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

96.1% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 17.7b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02761
13261
done3261

end0.0ms

sample2.1s

Algorithm
intervals
Results
517.0ms5716×body80valid
326.0ms864×body1280valid
245.0ms3653×body80nan
202.0ms367×body1280nan
179.0ms778×body640valid
70.0ms357×body640nan
69.0ms427×body320valid
28.0ms201×body320nan
24.0ms215×body160valid
12.0ms123×body160nan