Details

Time bar (total: 4.2s)

sample23.0ms

Algorithm
intervals
Results
6.0ms191×body80valid
3.0ms24×body640valid
2.0ms16×body1280valid
1.0ms15×body320valid
1.0ms10×body160valid

simplify51.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize17.0ms

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)))
6.8b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite68.0ms

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:
25.0ms
(* (- 1.0 x) y)
18.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
23.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series155.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (- 1.0 x) y)
75.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
47.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify40.0ms

Counts
72 → 72

prune150.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.1b
(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
5.7b
(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
17.0b
(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
15×*-un-lft-identity associate-*l*
11×add-cube-cbrt
8×pow1 times-frac associate-*r*
7×flip3-- flip--
6×prod-exp cbrt-unprod add-log-exp
5×sub-neg associate-*l/ difference-of-squares
4×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r* associate-/r/ associate--r+
2×frac-times associate-*r/ pow-prod-down *-commutative div-inv associate-/l/ distribute-lft-out-- unswap-sqr
1×frac-2neg diff-log clear-num associate-/l*
Counts
4 → 105
Calls
4 calls:
21.0ms
(* (- 1.0 x) y)
71.0ms
(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
6.0ms
(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
31.0ms
(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

series384.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (- 1.0 x) y)
84.0ms
(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
173.0ms
(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
94.0ms
(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

simplify79.0ms

Counts
117 → 117

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

6.8b
(/ (* (- 1.0 x) y) (+ y 1.0))
6.8b
(/ (* (- 1.0 x) y) (+ y 1.0))
6.8b
(/ (* (- 1.0 x) y) (+ y 1.0))
8.5b
(/ (- (* 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))))

rewrite134.0ms

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))
23.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
59.0ms
(/ (- (* 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))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
52.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
47.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
439.0ms
(/ (- (* 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))))

simplify61.0ms

Counts
134 → 134

prune308.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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)))
6.8b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite69.0ms

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:
25.0ms
(* (- 1.0 x) y)
19.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
22.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series157.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (- 1.0 x) y)
77.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
47.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify41.0ms

Counts
72 → 72

prune142.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes178.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 22.5b

bsearch81.0ms

Steps
ItersRangePoint
9
34431.44860491131
9745221269.336851
139832134.28607705
8
-2.8930569748307345e+20
-33483115176747636.0
-3.394409115789277e+16

simplify1.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
513.0ms6097×body80valid
139.0ms740×body640valid
79.0ms531×body320valid
77.0ms361×body1280valid
16.0ms271×body160valid