Details

Time bar (total: 12.1s)

sample38.0ms

Algorithm
intervals
Results
6.0ms168×body80valid
6.0ms31×body1280valid
3.0ms122×body80nan
3.0ms23×body640valid
2.0ms24×body320valid
2.0ms12×body1280nan
2.0ms14×body640nan
1.0ms9×body320nan
1.0ms10×body160valid
0.0ms5×body160nan

simplify91.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0912
11912
22912
34112
45812
56312
67112
78612
811412
912712
1012912
done12912

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
3.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
5.9b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite58.0ms

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:
14.0ms
(/ (- x y) (- 1.0 y))
20.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
20.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series190.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- x y) (- 1.0 y))
55.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
92.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.2s

Counts
94 → 94
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01711417
13981351
29381266
323461259
done50011258

prune251.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
5.5b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
5.9b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite40.0ms

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:
6.0ms
(/ 1 (- 1.0 y))
25.0ms
(* (- x y) (/ 1 (- 1.0 y)))
2.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
2.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series212.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 1 (- 1.0 y))
40.0ms
(* (- x y) (/ 1 (- 1.0 y)))
57.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
91.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify2.7s

Counts
129 → 129
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02051754
14801422
213321277
343221271
done50001270

prune264.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

3.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
6.0b
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0b
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
18×log-prod
16×*-un-lft-identity
12×cbrt-prod
8×add-cube-cbrt add-log-exp difference-of-squares
6×pow1 add-exp-log
4×log-div cbrt-div flip3-- times-frac log-pow add-cbrt-cube flip-- distribute-lft-out--
2×sub-neg pow1/3 diff-log div-sub rem-log-exp associate--r-
Counts
4 → 74
Calls
4 calls:
22.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
21.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
21.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
22.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series360.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
58.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
121.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
124.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify1.4s

Counts
86 → 86
Iterations

Useful iterations: 4 (612.0ms)

IterNodesCost
01191594
12401540
24961412
311501360
436041356
done50011356

prune309.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

3.6b
(- 1.0 (/ (- x y) (- 1.0 y)))
6.0b
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0b
(log (cbrt (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))))
7.1b
(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
36×add-sqr-sqrt
34×log-prod times-frac
28×cbrt-prod
26×add-cube-cbrt
13×difference-of-squares
9×distribute-lft-out
8×add-exp-log
6×pow1 add-cbrt-cube add-log-exp
4×associate-/r* associate-/r/ log-pow associate-/l*
3×log-div cbrt-div flip3-- flip--
2×flip3-+ pow1/3 div-sub rem-log-exp flip-+ div-inv associate-/l/ distribute-lft-out--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num associate--r-
Counts
4 → 114
Calls
4 calls:
21.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
23.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
25.0ms
(log (cbrt (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))))
51.0ms
(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

series622.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
124.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
271.0ms
(log (cbrt (/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))))
166.0ms
(/ (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))) (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify2.4s

Counts
126 → 126
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02594580
15044400
212404106
345163318
done50013318

prune493.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes164.0ms

Accuracy

99.7% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.8b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02240
12740
done2740

end0.0ms

sample1.0s

Algorithm
intervals
Results
221.0ms5698×body80valid
157.0ms795×body1280valid
102.0ms3765×body80nan
102.0ms756×body640valid
62.0ms376×body1280nan
47.0ms484×body320valid
47.0ms410×body640nan
17.0ms267×body160valid
17.0ms201×body320nan
7.0ms125×body160nan