Details

Time bar (total: 5.5s)

sample40.0ms

Algorithm
intervals
Results
11.0ms19×body320valid
8.0ms189×body80valid
4.0ms30×body640valid
2.0ms10×body1280valid
1.0ms8×body160valid

simplify156.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
2.8b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite111.0ms

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:
52.0ms
(* (- 1.0 x) y)
28.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
27.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series196.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (- 1.0 x) y)
81.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
72.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify44.0ms

Counts
72 → 72

prune246.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
0.0b
(/ y (+ y 1.0))
2.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*l* add-log-exp
4×associate-/r* associate-/r/
3×flip3-- flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
69.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
23.0ms
(/ y (+ y 1.0))
6.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series215.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
37.0ms
(/ y (+ y 1.0))
117.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify40.0ms

Counts
97 → 97

prune235.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (- 1.0 x) (/ y (+ y 1.0))) (+ (* (- 1.0 x) (/ y (+ y 1.0))) 1.0))
0.1b
(pow (* (- 1.0 x) (/ y (+ y 1.0))) 3)
2.8b
(- (pow 1.0 3) (pow (* (- 1.0 x) (/ y (+ y 1.0))) 3))
12.7b
(/ (- (pow 1.0 3) (pow (* (- 1.0 x) (/ y (+ y 1.0))) 3)) (+ (* (* (- 1.0 x) (/ y (+ y 1.0))) (+ (* (- 1.0 x) (/ y (+ y 1.0))) 1.0)) (* 1.0 1.0)))

rewrite492.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
40×difference-of-squares
39×times-frac
34×*-un-lft-identity
31×sqr-pow
24×add-cube-cbrt
21×add-exp-log add-cbrt-cube
18×frac-times
13×associate-*l/ associate-/l*
12×pow1
11×unpow-prod-down cube-prod
10×flip3-- flip--
7×flip3-+ prod-exp cbrt-unprod flip-+
6×associate-*r/ add-log-exp
5×difference-cubes cube-div distribute-lft-out--
4×pow-prod-down
3×cbrt-undiv pow-unpow div-exp associate-*r* pow-exp associate-/r* rem-cube-cbrt
2×pow-pow associate-/r/ associate-/l/
1×distribute-rgt-in cube-mult pow-to-exp sub-neg frac-2neg distribute-lft-in diff-log unpow3 div-sub associate-*l* clear-num *-commutative div-inv
Counts
4 → 162
Calls
4 calls:
140.0ms
(* (* (- 1.0 x) (/ y (+ y 1.0))) (+ (* (- 1.0 x) (/ y (+ y 1.0))) 1.0))
30.0ms
(pow (* (- 1.0 x) (/ y (+ y 1.0))) 3)
29.0ms
(- (pow 1.0 3) (pow (* (- 1.0 x) (/ y (+ y 1.0))) 3))
285.0ms
(/ (- (pow 1.0 3) (pow (* (- 1.0 x) (/ y (+ y 1.0))) 3)) (+ (* (* (- 1.0 x) (/ y (+ y 1.0))) (+ (* (- 1.0 x) (/ y (+ y 1.0))) 1.0)) (* 1.0 1.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
172.0ms
(* (* (- 1.0 x) (/ y (+ y 1.0))) (+ (* (- 1.0 x) (/ y (+ y 1.0))) 1.0))
95.0ms
(pow (* (- 1.0 x) (/ y (+ y 1.0))) 3)
186.0ms
(- (pow 1.0 3) (pow (* (- 1.0 x) (/ y (+ y 1.0))) 3))
874.0ms
(/ (- (pow 1.0 3) (pow (* (- 1.0 x) (/ y (+ y 1.0))) 3)) (+ (* (* (- 1.0 x) (/ y (+ y 1.0))) (+ (* (- 1.0 x) (/ y (+ y 1.0))) 1.0)) (* 1.0 1.0)))

simplify51.0ms

Counts
174 → 174

prune665.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ 1 y) (/ x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
14×times-frac
6×difference-of-squares
5×div-inv distribute-lft-out--
3×add-cube-cbrt distribute-rgt-out-- add-log-exp
1×pow1 add-exp-log sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- sub-div
Counts
1 → 28
Calls
1 calls:
27.0ms
(- (/ 1 y) (/ x y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(- (/ 1 y) (/ x y))

simplify79.0ms

Counts
31 → 31

prune86.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes144.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 14.4b

bsearch93.0ms

Steps
ItersRangePoint
8
779548.5780578556
490220111.3707295
176122843.74139604
9
-1.1608250411445823e+19
-3291414068296.93
-3338147193416.8516

simplify85.0ms

end0.0ms

sample986.0ms

Algorithm
intervals
Results
366.0ms6101×body80valid
146.0ms541×body320valid
132.0ms737×body640valid
64.0ms347×body1280valid
21.0ms274×body160valid