Details

Time bar (total: 10.7s)

sample27.0ms

Algorithm
intervals
Results
9.0ms303×body80valid
4.0ms7×body1280valid
1.0ms12×body640valid
0.0ms4×body320valid
0.0ms4×body160valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12113
24713
312413
428413
564113
6119013
7209013
8344813
done500013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

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))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
10.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
13.0ms
(* (- y x) 6.0)
35.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series174.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (/ 2.0 3.0) z)
66.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
36.0ms
(* (- y x) 6.0)
47.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.0s

Counts
97 → 97
Iterations

Useful iterations: 2 (218.0ms)

IterNodesCost
01561335
14341273
217871163
done50001163

prune248.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
8×associate-+r+ flip3-- associate-*l* flip-- add-log-exp
7×add-cube-cbrt associate-*r*
5×difference-of-squares
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*l/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 97
Calls
4 calls:
13.0ms
(- (/ 2.0 3.0) z)
28.0ms
(* 6.0 (- (/ 2.0 3.0) z))
7.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
37.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (/ 2.0 3.0) z)
42.0ms
(* 6.0 (- (/ 2.0 3.0) z))
71.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
49.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify667.0ms

Counts
109 → 109
Iterations

Useful iterations: done (663.0ms)

IterNodesCost
01631524
14341470
214271352
done50001336

prune276.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity associate-*l/ distribute-rgt-neg-out
5×associate-*l*
4×add-cube-cbrt flip3-+ frac-add sum-log flip-+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×+-commutative
1×associate-+l+ associate-*r* unsub-neg *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 53
Calls
3 calls:
12.0ms
(+ (+ x (* (- y x) (* (/ 2.0 3.0) 6.0))) (* (- y x) (* 6.0 (- z))))
3.0ms
(+ x (* (- y x) (* (/ 2.0 3.0) 6.0)))
15.0ms
(* (- y x) (* 6.0 (- z)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(+ (+ x (* (- y x) (* (/ 2.0 3.0) 6.0))) (* (- y x) (* 6.0 (- z))))
43.0ms
(+ x (* (- y x) (* (/ 2.0 3.0) 6.0)))
41.0ms
(* (- y x) (* 6.0 (- z)))

simplify698.0ms

Counts
62 → 62
Iterations

Useful iterations: done (696.0ms)

IterNodesCost
01291363
14171187
216731083
done50011067

prune171.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
14×associate-*r/
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube add-log-exp
10×sub-neg
9×*-un-lft-identity
8×associate-+r+
7×add-cube-cbrt
6×associate-*r* associate-*l*
4×flip3-- flip3-+ pow-prod-down frac-add prod-exp sum-log flip-- cbrt-unprod flip-+
2×+-commutative *-commutative
1×associate-+l+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 90
Calls
4 calls:
14.0ms
(* z (- x y))
13.0ms
(+ (+ x (* (- y x) (* (/ 2.0 3.0) 6.0))) (* 6.0 (* z (- x y))))
3.0ms
(+ x (* (- y x) (* (/ 2.0 3.0) 6.0)))
12.0ms
(* 6.0 (* z (- x y)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* z (- x y))
67.0ms
(+ (+ x (* (- y x) (* (/ 2.0 3.0) 6.0))) (* 6.0 (* z (- x y))))
45.0ms
(+ x (* (- y x) (* (/ 2.0 3.0) 6.0)))
49.0ms
(* 6.0 (* z (- x y)))

simplify697.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (163.0ms)

IterNodesCost
01601738
14641618
216271468
done50001468

prune260.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01520
12320
22620
33320
done3320

end0.0ms

sample567.0ms

Algorithm
intervals
Results
277.0ms9443×body80valid
27.0ms259×body640valid
22.0ms148×body1280valid
15.0ms192×body320valid
6.0ms107×body160valid