Details

Time bar (total: 17.3s)

sample55.0ms

Algorithm
intervals
Results
16.0ms61×body640valid
9.0ms134×body80valid
6.0ms33×body320valid
6.0ms16×body1280valid
2.0ms12×body160valid

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
done5001
104810
91188
8437
7210
6162
5135
489
341
231
118
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
0.0b
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.0b
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite446.0ms

Algorithm
rewrite-expression-head
Rules
83×*-un-lft-identity
47×times-frac
43×add-sqr-sqrt
23×add-cube-cbrt
14×distribute-lft-out--
13×distribute-lft-out
11×add-log-exp
9×associate-/r*
8×add-cbrt-cube add-exp-log difference-of-squares
6×associate-/l*
4×pow1 associate-/r/
3×flip3-- frac-add flip--
2×cbrt-undiv associate-+l+ clear-num sum-log sub-neg frac-2neg flip3-+ diff-log div-exp frac-sub flip-+ div-inv
1×+-commutative associate-+l-
Counts
4 → 114
Calls
4 calls:
9.0ms
(/ 1.0 (- x 1.0))
9.0ms
(/ 1.0 (+ x 1.0))
74.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
351.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series493.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ 1.0 (- x 1.0))
36.0ms
(/ 1.0 (+ x 1.0))
65.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
341.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.1s

Counts
126 → 126
Iterations
IterNodes
done5001
21951
1515
0212

prune464.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
0.2b
(- (* 1.0 x) (* (+ x 1.0) 2.0))
15.5b
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*l/
32×frac-add
31×flip3-- flip--
24×frac-times flip3-+ flip-+
18×add-cbrt-cube add-exp-log associate-/l/
12×associate-*r/
9×add-sqr-sqrt pow1 *-un-lft-identity
8×associate-/r/ add-log-exp
7×add-cube-cbrt
6×prod-exp cbrt-unprod
5×sub-neg associate-*r*
4×distribute-rgt-in associate-+l+ distribute-lft-in
3×cbrt-undiv times-frac div-exp pow-prod-down associate-/l*
1×+-commutative clear-num associate-/r* sum-log frac-2neg diff-log associate-*l* *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 124
Calls
4 calls:
94.0ms
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
38.0ms
(* (* (+ x 1.0) x) (- x 1.0))
6.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
22.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series343.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
163.0ms
(* (* (+ x 1.0) x) (- x 1.0))
60.0ms
(- (* 1.0 x) (* (+ x 1.0) 2.0))
3.0ms
(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify1.3s

Counts
136 → 136
Iterations
IterNodes
done5001
11014
0279

prune779.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
0.2b
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
18×associate-*l/
12×add-sqr-sqrt *-un-lft-identity
10×pow1
8×frac-times associate-*r* associate-/r/ add-cube-cbrt
7×flip3-+ prod-exp cbrt-unprod flip-+
6×flip3-- flip--
5×associate-*l*
4×pow-prod-down associate-*r/
3×cbrt-undiv times-frac div-exp associate-/l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative
1×clear-num associate-/r* frac-2neg div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
16.0ms
(* (+ x 1.0) x)
38.0ms
(* (* (+ x 1.0) x) (- x 1.0))
35.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series285.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* (+ x 1.0) x)
120.0ms
(* (* (+ x 1.0) x) (- x 1.0))
105.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
done5000
23040
1447
0154

prune383.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.1b
(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.3b
(/ 2.0 (* (+ x 1.0) x))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
51×add-sqr-sqrt *-un-lft-identity
29×add-cube-cbrt
19×add-cbrt-cube add-exp-log
16×associate-*l/ associate-/r/
12×associate-/l*
10×distribute-lft-out-- difference-of-squares
8×flip3-+ flip-+ div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
4×associate-*l*
3×associate-*r* prod-exp cbrt-unprod add-log-exp
2×clear-num frac-2neg
1×flip3-- pow-prod-down *-commutative flip-- distribute-lft-out unswap-sqr associate-/l/
Counts
3 → 122
Calls
3 calls:
16.0ms
(* (+ x 1.0) x)
31.0ms
(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
12.0ms
(/ 2.0 (* (+ x 1.0) x))

series200.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* (+ x 1.0) x)
100.0ms
(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
39.0ms
(/ 2.0 (* (+ x 1.0) x))

simplify2.0s

Counts
131 → 131
Iterations
IterNodes
done5001
23256
1595
0221

prune639.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample2.0s

Algorithm
intervals
Results
973.0ms1849×body640valid
241.0ms594×body1280valid
240.0ms4139×body80valid
197.0ms979×body320valid
106.0ms441×body160valid