Details

Time bar (total: 4.7s)

sample22.0ms

Algorithm
intervals
Results
6.0ms195×body80valid
3.0ms29×body640valid
1.0ms14×body320valid
1.0ms8×body1280valid
1.0ms10×body160valid

simplify50.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
1.8b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.9b
(/ (* (- 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:
21.0ms
(* (- 1.0 x) y)
19.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
37.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series156.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (- 1.0 x) y)
75.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
49.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify40.0ms

Counts
72 → 72

prune146.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
1.8b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite67.0ms

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:
11.0ms
(/ y (+ y 1.0))
45.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
7.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series158.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ y 1.0))
45.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
75.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify51.0ms

Counts
97 → 97

prune182.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

8.9b
(/ (* (- 1.0 x) y) (+ y 1.0))
8.9b
(/ (* (- 1.0 x) y) (+ y 1.0))
8.9b
(/ (* (- 1.0 x) y) (+ y 1.0))
10.4b
(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
28×times-frac
21×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt
16×associate-/r*
11×distribute-lft-out
8×associate-/r/ associate-/l/
7×cbrt-undiv div-exp associate-/l*
6×associate-*l/
5×difference-of-squares
4×pow1 flip3-- frac-2neg flip3-+ clear-num flip-- flip-+ div-inv add-log-exp
3×prod-exp cbrt-unprod
1×div-sub
Counts
4 → 122
Calls
4 calls:
24.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
23.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
25.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
60.0ms
(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

series566.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
45.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
48.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
424.0ms
(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

simplify60.0ms

Counts
134 → 134

prune297.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))
8.9b
(/ (* (- 1.0 x) y) (+ y 1.0))
8.9b
(/ (* (- 1.0 x) y) (+ y 1.0))
10.4b
(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0)))))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
28×add-exp-log
25×times-frac
24×add-cbrt-cube
18×add-sqr-sqrt add-cube-cbrt
14×associate-/r/
13×associate-/r*
12×cbrt-div
9×cbrt-undiv flip3-+ div-exp flip-+ distribute-lft-out
8×associate-*l/ associate-/l/
7×associate-/l*
6×prod-exp cbrt-unprod
5×difference-of-squares
4×pow1 frac-times flip3-- frac-2neg clear-num flip-- div-inv add-log-exp
2×associate-*r/
1×div-sub
Counts
4 → 126
Calls
4 calls:
31.0ms
(/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))
22.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
23.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
137.0ms
(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0)))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))
47.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
45.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
423.0ms
(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0)))))

simplify78.0ms

Counts
138 → 138

prune396.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

regimes169.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 14.2b

bsearch79.0ms

Steps
ItersRangePoint
9
137362616.0762091
1439059428709982.0
512264646.35448426
7
-2445851338.3862987
-30461436.183609415
-118579514.58451813

simplify1.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
616.0ms6123×body80valid
86.0ms755×body640valid
85.0ms364×body1280valid
45.0ms506×body320valid
15.0ms252×body160valid