Details

Time bar (total: 12.3s)

sample25.0ms

Algorithm
intervals
Results
7.0ms201×body80valid
3.0ms20×body640valid
2.0ms17×body320valid
1.0ms10×body1280valid
1.0ms8×body160valid

simplify965.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11611
23511
37411
415311
541311
6166211
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
3.3b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.6b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×times-frac associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
30.0ms
(* (- 1.0 x) y)
23.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
24.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series207.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (- 1.0 x) y)
94.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
67.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.4s

Counts
72 → 72
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0128885
1347828
22051752
done5002746

prune212.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.0b
(/ 1 (+ y 1.0))
4.2b
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
7.6b
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
32×add-exp-log
27×add-sqr-sqrt
24×times-frac
23×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
8×associate-*l/
7×cbrt-unprod distribute-lft-out
6×div-exp associate-*l* add-log-exp
4×flip3-- pow-prod-down associate-/r* associate-/r/ flip--
3×cbrt-undiv rec-exp 1-exp associate-/l*
2×frac-times flip3-+ *-commutative flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ clear-num un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 118
Calls
4 calls:
22.0ms
(* (- 1.0 x) y)
14.0ms
(/ 1 (+ y 1.0))
5.0ms
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
59.0ms
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (- 1.0 x) y)
36.0ms
(/ 1 (+ y 1.0))
120.0ms
(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
85.0ms
(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

simplify3.6s

Counts
130 → 130
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01861635
15281434
233731195
done50001191

prune278.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (/ 1.0 y) (* 1.0 (/ x y))) x)
0.0b
(- (/ 1.0 y) (* 1.0 (/ x y)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg associate-+l+ diff-log associate-*r/ sum-log add-cbrt-cube
1×+-commutative associate-+l- flip3-- flip3-+ frac-sub flip-- flip-+ div-inv distribute-lft-out distribute-lft-out-- sub-div
Counts
2 → 31
Calls
2 calls:
117.0ms
(+ (- (/ 1.0 y) (* 1.0 (/ x y))) x)
40.0ms
(- (/ 1.0 y) (* 1.0 (/ x y)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (- (/ 1.0 y) (* 1.0 (/ x y))) x)
58.0ms
(- (/ 1.0 y) (* 1.0 (/ x y)))

simplify657.0ms

Counts
37 → 37
Iterations

Useful iterations: done (656.0ms)

IterNodesCost
064554
1177512
2765486
done5001478

prune93.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ 1.0 y) (* 1.0 (/ x y)))) (cbrt (- (/ 1.0 y) (* 1.0 (/ x y)))))
6.7b
(cbrt (- (/ 1.0 y) (* 1.0 (/ x y))))
6.7b
(cbrt (- (/ 1.0 y) (* 1.0 (/ x y))))
6.7b
(cbrt (- (/ 1.0 y) (* 1.0 (/ x y))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
32×cbrt-prod
30×associate-*r/
23×add-sqr-sqrt
16×frac-times
15×add-cube-cbrt *-un-lft-identity
13×flip3-- frac-sub flip-- sub-div
11×pow1
9×pow1/3
7×swap-sqr associate-*r* associate-*l* div-inv distribute-lft-out--
6×add-exp-log
4×associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 115
Calls
4 calls:
110.0ms
(* (cbrt (- (/ 1.0 y) (* 1.0 (/ x y)))) (cbrt (- (/ 1.0 y) (* 1.0 (/ x y)))))
11.0ms
(cbrt (- (/ 1.0 y) (* 1.0 (/ x y))))
11.0ms
(cbrt (- (/ 1.0 y) (* 1.0 (/ x y))))
11.0ms
(cbrt (- (/ 1.0 y) (* 1.0 (/ x y))))

series960.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (cbrt (- (/ 1.0 y) (* 1.0 (/ x y)))) (cbrt (- (/ 1.0 y) (* 1.0 (/ x y)))))
239.0ms
(cbrt (- (/ 1.0 y) (* 1.0 (/ x y))))
243.0ms
(cbrt (- (/ 1.0 y) (* 1.0 (/ x y))))
241.0ms
(cbrt (- (/ 1.0 y) (* 1.0 (/ x y))))

simplify1.0s

Counts
127 → 127
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02293843
15383622
220433389
done50003198

prune689.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes100.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 22.0b

bsearch107.0ms

Steps
ItersRangePoint
10
0.02325869037085268
6498875204.17883
124171319.52169995
11
-3.317152845340719e+16
-2.9526231381329305e-09
-207134368.89963433

simplify17.0ms

Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
02143
13133
done3133

end0.0ms

sample1.1s

Algorithm
intervals
Results
372.0ms6121×body80valid
152.0ms373×body1280valid
124.0ms714×body640valid
97.0ms497×body320valid
28.0ms295×body160valid