Details

Time bar (total: 22.1s)

sample64.0ms

Algorithm
intervals
Results
31.0ms299×body80valid
4.0ms12×body320valid
2.0ms7×body640valid
1.0ms3×body1280valid
1.0ms4×body160valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
63251
51293
4501
3166
250
121
012

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
199×add-sqr-sqrt
195×prod-diff
191×*-un-lft-identity
185×add-cube-cbrt
146×times-frac
82×distribute-rgt-in associate-+r+ distribute-lft-in
16×div-inv
13×fma-neg
11×pow1 add-cbrt-cube add-exp-log
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
6×associate-*l*
5×sub-neg difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def distribute-lft-out--
2×associate-*r/ *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
35.0ms
(- (/ 2.0 3.0) z)
44.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms
(* (- y x) 6.0)
94.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series218.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (/ 2.0 3.0) z)
86.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
38.0ms
(* (- y x) 6.0)
63.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.9s

Counts
316 → 316
Iterations
IterNodes
done5010
23239
11107
0400

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
429×prod-diff
403×add-sqr-sqrt
395×*-un-lft-identity
389×add-cube-cbrt
369×distribute-rgt-in distribute-lft-in
308×times-frac
164×associate-+r+
34×div-inv
13×fma-neg
11×pow1 sub-neg add-cbrt-cube add-exp-log
10×associate-*r/
8×flip3-- associate-*l* flip-- add-log-exp
7×associate-*r*
5×difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def distribute-lft-out--
2×associate-*l/ *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 550
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
59.0ms
(* 6.0 (- (/ 2.0 3.0) z))
65.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
124.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ 2.0 3.0) z)
51.0ms
(* 6.0 (- (/ 2.0 3.0) z))
69.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
66.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify2.2s

Counts
562 → 562
Iterations
IterNodes
done5000
24450
11601
0653

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
54×prod-diff
45×*-un-lft-identity
43×add-sqr-sqrt
41×add-cube-cbrt
33×distribute-rgt-in distribute-lft-in
23×associate-+r+
22×associate-+l+
16×associate-*r/
10×distribute-lft-neg-out flip3-- frac-add flip-- add-log-exp
8×pow1 add-cbrt-cube associate-*l/ add-exp-log
6×sub-neg
5×associate-*r*
4×frac-times sum-log fma-def
3×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×+-commutative associate-+r- flip3-+ unsub-neg flip-+
1×distribute-rgt-out associate-*l* *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 139
Calls
3 calls:
59.0ms
(+ (* (* (/ 2.0 3.0) 6.0) (- y x)) (* (* (- z) 6.0) (- y x)))
101.0ms
(+ x (+ (* (* (/ 2.0 3.0) 6.0) (- y x)) (* (* (- z) 6.0) (- y x))))
42.0ms
(* (* (- z) 6.0) (- y x))

series247.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(+ (* (* (/ 2.0 3.0) 6.0) (- y x)) (* (* (- z) 6.0) (- y x)))
83.0ms
(+ x (+ (* (* (/ 2.0 3.0) 6.0) (- y x)) (* (* (- z) 6.0) (- y x))))
70.0ms
(* (* (- z) 6.0) (- y x))

simplify2.4s

Counts
148 → 148
Iterations
IterNodes
done5000
24322
1925
0260

prune639.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
110×distribute-rgt-in distribute-lft-in
108×prod-diff
84×add-sqr-sqrt *-un-lft-identity
80×add-cube-cbrt
45×associate-+r+
30×associate-*r/
22×associate-+l+
12×sub-neg
11×pow1 flip3-- add-cbrt-cube add-exp-log flip-- add-log-exp
10×frac-add
8×associate-*l/
6×associate-*r* associate-*l*
4×expm1-log1p-u frac-times sum-log fma-def pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×+-commutative flip3-+ *-commutative flip-+
1×distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 221
Calls
4 calls:
42.0ms
(+ (* (* (/ 2.0 3.0) 6.0) (- y x)) (* 6.0 (* z (- x y))))
18.0ms
(* z (- x y))
71.0ms
(+ x (+ (* (* (/ 2.0 3.0) 6.0) (- y x)) (* 6.0 (* z (- x y)))))
28.0ms
(* 6.0 (* z (- x y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ (* (* (/ 2.0 3.0) 6.0) (- y x)) (* 6.0 (* z (- x y))))
48.0ms
(* z (- x y))
77.0ms
(+ x (+ (* (* (/ 2.0 3.0) 6.0) (- y x)) (* 6.0 (* z (- x y)))))
54.0ms
(* 6.0 (* z (- x y)))

simplify2.6s

Counts
233 → 233
Iterations
IterNodes
done5000
24297
11156
0366

prune928.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes359.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations
IterNodes
done35
335
231
123
015

end0.0ms

sample1.2s

Algorithm
intervals
Results
770.0ms9438×body80valid
54.0ms248×body640valid
43.0ms161×body1280valid
35.0ms226×body320valid
13.0ms122×body160valid