Details

Time bar (total: 12.1s)

sample38.0ms

Algorithm
intervals
Results
14.0ms293×body80valid
1.0ms7×body1280valid
1.0ms7×body640valid
1.0ms6×body320valid
1.0ms8×body160valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
24813
316013
452213
5165813
done500013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite219.0ms

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:
25.0ms
(- (/ 2.0 3.0) z)
28.0ms
(* (- y x) 6.0)
25.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
135.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series253.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (/ 2.0 3.0) z)
46.0ms
(* (- y x) 6.0)
104.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
73.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.4s

Counts
97 → 97
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01561335
14491273
223041169
done50021163

prune235.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log associate-*l* add-cbrt-cube
10×associate-*l/
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
5×difference-of-squares
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 77
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
63.0ms
(* (- (/ 2.0 3.0) z) 6.0)
20.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
108.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series233.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ 2.0 3.0) z)
61.0ms
(* (- (/ 2.0 3.0) z) 6.0)
93.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
51.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify820.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
01481272
14011220
216371102
done50011102

prune289.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
17×associate-*l/
14×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
11×associate-*r* add-log-exp
9×times-frac prod-exp cbrt-unprod
6×pow-prod-down
5×flip3-- flip--
4×flip3-+ frac-add sum-log flip-+
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×cbrt-undiv +-commutative frac-times associate-*r/ div-exp *-commutative
1×neg-mul-1 associate-+l+ unsub-neg div-inv
Counts
4 → 95
Calls
4 calls:
48.0ms
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
10.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
48.0ms
(* (* (- y x) 6.0) (- z))
82.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series207.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (* (- y x) 6.0) (- z)))
46.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
39.0ms
(* (* (- y x) 6.0) (- z))
39.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify2.0s

Counts
107 → 107
Iterations

Useful iterations: 2 (502.0ms)

IterNodesCost
02011923
16561762
234581594
done50001594

prune394.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 4.0 y) (* 3.0 x))
0.0b
(* (- y x) 6.0)
0.0b
(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
0.3b
(* (* (- y x) 6.0) (- z))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*l/
13×add-sqr-sqrt associate-*r*
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube add-log-exp
9×add-cube-cbrt
7×flip3-- flip--
6×associate-*l*
4×pow-prod-down frac-add prod-exp cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×sub-neg associate-+l+ diff-log sum-log *-commutative
1×+-commutative associate-+l- neg-mul-1 flip3-+ unsub-neg flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 83
Calls
4 calls:
9.0ms
(- (* 4.0 y) (* 3.0 x))
23.0ms
(* (- y x) 6.0)
43.0ms
(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
70.0ms
(* (* (- y x) 6.0) (- z))

series239.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* 4.0 y) (* 3.0 x))
45.0ms
(* (- y x) 6.0)
88.0ms
(+ (- (* 4.0 y) (* 3.0 x)) (* (* (- y x) 6.0) (- z)))
49.0ms
(* (* (- y x) 6.0) (- z))

simplify1.7s

Counts
95 → 95
Iterations

Useful iterations: 2 (367.0ms)

IterNodesCost
01631392
15071290
225581184
done50001184

prune266.0ms

Pruning

9 alts after pruning (8 fresh and 1 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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.1s

Algorithm
intervals
Results
549.0ms9423×body80valid
105.0ms272×body640valid
29.0ms152×body1280valid
24.0ms190×body320valid
7.0ms93×body160valid