Details

Time bar (total: 12.8s)

sample65.0ms

Algorithm
intervals
Results
30.0ms299×body80valid
3.0ms10×body1280valid
2.0ms7×body640valid
1.0ms5×body320valid
1.0ms4×body160valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5001
51693
4517
3160
248
121
012

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ (* 6.0 (* (- y x) (- (/ 2.0 3.0) z))) x)
0.2b
(* (- y x) (- (/ 2.0 3.0) z))
0.2b
(* 6.0 (* (- y x) (- (/ 2.0 3.0) z)))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity flip3-- flip--
12×associate-*r/
11×pow1 sub-neg add-cbrt-cube add-exp-log
8×frac-times associate-+l+ associate-*l* add-log-exp
7×associate-*r* add-cube-cbrt
5×difference-of-squares
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 103
Calls
4 calls:
25.0ms
(- (/ 2.0 3.0) z)
64.0ms
(+ (* 6.0 (* (- y x) (- (/ 2.0 3.0) z))) x)
83.0ms
(* (- y x) (- (/ 2.0 3.0) z))
89.0ms
(* 6.0 (* (- y x) (- (/ 2.0 3.0) z)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (/ 2.0 3.0) z)
106.0ms
(+ (* 6.0 (* (- y x) (- (/ 2.0 3.0) z))) x)
61.0ms
(* (- y x) (- (/ 2.0 3.0) z))
68.0ms
(* 6.0 (* (- y x) (- (/ 2.0 3.0) z)))

simplify1.1s

Counts
115 → 115
Iterations
IterNodes
done5001
22018
1476
0172

prune495.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* 6.0 (/ 2.0 3.0)) (- y x)) (* (* z (- 6.0)) (- y x)))
0.0b
(+ (+ (* (* 6.0 (/ 2.0 3.0)) (- y x)) (* (* z (- 6.0)) (- y x))) x)
0.3b
(* (* z (- 6.0)) (- y x))

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
22×associate-*r/
10×flip3-- frac-add flip-- add-log-exp
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
6×distribute-rgt-in add-sqr-sqrt sub-neg distribute-lft-in
5×distribute-lft-neg-out associate-+l+ associate-*r* distribute-rgt-neg-out
4×frac-times associate-+r+ sum-log add-cube-cbrt
3×pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ unsub-neg associate-*l/ associate-+l- flip-+
1×distribute-rgt-out associate-*l* *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
45.0ms
(+ (* (* 6.0 (/ 2.0 3.0)) (- y x)) (* (* z (- 6.0)) (- y x)))
239.0ms
(+ (+ (* (* 6.0 (/ 2.0 3.0)) (- y x)) (* (* z (- 6.0)) (- y x))) x)
51.0ms
(* (* z (- 6.0)) (- y x))

series219.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (* (* 6.0 (/ 2.0 3.0)) (- y x)) (* (* z (- 6.0)) (- y x)))
80.0ms
(+ (+ (* (* 6.0 (/ 2.0 3.0)) (- y x)) (* (* z (- 6.0)) (- y x))) x)
63.0ms
(* (* z (- 6.0)) (- y x))

simplify1.8s

Counts
84 → 84
Iterations
IterNodes
done5001
23637
1659
0177

prune504.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- x y))
0.0b
(- (* 6.0 (* z (- x y))) (* x (* (/ 2.0 3.0) 6.0)))
0.0b
(+ (+ (* (* 6.0 (/ 2.0 3.0)) y) (- (* 6.0 (* z (- x y))) (* x (* (/ 2.0 3.0) 6.0)))) x)
0.3b
(* 6.0 (* z (- x y)))

rewrite726.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
15×add-log-exp
12×associate-*r/
11×add-sqr-sqrt pow1 sub-neg *-un-lft-identity add-cbrt-cube add-exp-log
8×associate--l+
7×add-cube-cbrt
6×associate-*r* associate-*l*
5×sum-log
4×flip3-- pow-prod-down prod-exp cbrt-unprod flip--
2×diff-log associate-*l/ *-commutative frac-sub
1×+-commutative associate-+l+ associate-+r- flip3-+ associate-+l- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 92
Calls
4 calls:
29.0ms
(* z (- x y))
42.0ms
(- (* 6.0 (* z (- x y))) (* x (* (/ 2.0 3.0) 6.0)))
623.0ms
(+ (+ (* (* 6.0 (/ 2.0 3.0)) y) (- (* 6.0 (* z (- x y))) (* x (* (/ 2.0 3.0) 6.0)))) x)
28.0ms
(* 6.0 (* z (- x y)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* z (- x y))
83.0ms
(- (* 6.0 (* z (- x y))) (* x (* (/ 2.0 3.0) 6.0)))
87.0ms
(+ (+ (* (* 6.0 (/ 2.0 3.0)) y) (- (* 6.0 (* z (- x y))) (* x (* (/ 2.0 3.0) 6.0)))) x)
71.0ms
(* 6.0 (* z (- x y)))

simplify861.0ms

Counts
104 → 104
Iterations
IterNodes
done5001
21731
1454
0166

prune567.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 6.0 (/ 2.0 3.0)) y) (+ (* 6.0 (- (* z (- x y)) (/ (* 2.0 x) 3.0))) x))
0.0b
(- (* z (- x y)) (/ (* 2.0 x) 3.0))
0.0b
(+ (* 6.0 (- (* z (- x y)) (/ (* 2.0 x) 3.0))) x)
0.2b
(* 6.0 (- (* z (- x y)) (/ (* 2.0 x) 3.0)))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
22×distribute-rgt-in distribute-lft-in
20×associate--l+
15×sub-neg
13×add-log-exp
12×associate-+l+
10×associate-*r/
8×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×sum-log flip3-- frac-sub flip--
3×flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative associate-*l/ frac-add
1×associate-+r+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 90
Calls
4 calls:
91.0ms
(+ (* (* 6.0 (/ 2.0 3.0)) y) (+ (* 6.0 (- (* z (- x y)) (/ (* 2.0 x) 3.0))) x))
13.0ms
(- (* z (- x y)) (/ (* 2.0 x) 3.0))
32.0ms
(+ (* 6.0 (- (* z (- x y)) (/ (* 2.0 x) 3.0))) x)
80.0ms
(* 6.0 (- (* z (- x y)) (/ (* 2.0 x) 3.0)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (* (* 6.0 (/ 2.0 3.0)) y) (+ (* 6.0 (- (* z (- x y)) (/ (* 2.0 x) 3.0))) x))
71.0ms
(- (* z (- x y)) (/ (* 2.0 x) 3.0))
82.0ms
(+ (* 6.0 (- (* z (- x y)) (/ (* 2.0 x) 3.0))) x)
91.0ms
(* 6.0 (- (* z (- x y)) (/ (* 2.0 x) 3.0)))

simplify851.0ms

Counts
102 → 102
Iterations
IterNodes
done5002
21897
1501
0170

prune602.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes380.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done24
224
123
017

end0.0ms

sample1.4s

Algorithm
intervals
Results
716.0ms9479×body80valid
89.0ms274×body640valid
68.0ms184×body320valid
40.0ms160×body1280valid
11.0ms107×body160valid