Details

Time bar (total: 15.9s)

sample61.0ms

Algorithm
intervals
Results
29.0ms315×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12517
24617
39617
417817
528117
686717
7389917
done500017

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
12.1b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1 add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
40.0ms
(* (* z 2.0) (- 1.0 t))
47.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
61.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series230.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* (* z 2.0) (- 1.0 t))
66.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
87.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.4s

Counts
71 → 71
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01401189
14221116
22103984
done5000980

prune281.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
0.0b
(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.5b
(/ 2.0 (* t z))

rewrite486.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-log-exp
8×add-exp-log add-cbrt-cube
6×distribute-lft-out
5×add-sqr-sqrt add-cube-cbrt sum-log
3×pow1 associate-+r+ times-frac frac-add div-inv associate-/l*
2×cbrt-undiv +-commutative flip3-+ diff-log div-exp flip-+ distribute-lft-out--
1×associate-+r- sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num associate-/r* flip-- cbrt-unprod
Counts
3 → 57
Calls
3 calls:
421.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
46.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
16.0ms
(/ 2.0 (* t z))

series151.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
51.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
33.0ms
(/ 2.0 (* t z))

simplify924.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (209.0ms)

IterNodesCost
01261037
1364967
21713905
done5000905

prune180.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0))
0.0b
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
0.2b
(/ (/ 2.0 t) z)

rewrite966.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
60×*-un-lft-identity
45×add-sqr-sqrt add-cube-cbrt
14×add-log-exp
13×associate-/l*
8×add-exp-log add-cbrt-cube
6×distribute-lft-out
5×sum-log div-inv
3×pow1 cbrt-undiv associate-+r+ div-exp frac-add associate-/r*
2×+-commutative flip3-+ diff-log flip-+ distribute-lft-out--
1×associate-+r- sub-neg flip3-- frac-2neg associate--l+ clear-num flip-- associate-/l/
Counts
3 → 106
Calls
3 calls:
894.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0))
51.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
12.0ms
(/ (/ 2.0 t) z)

series222.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0))
81.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
43.0ms
(/ (/ 2.0 t) z)

simplify1.4s

Counts
115 → 115
Iterations

Useful iterations: 2 (588.0ms)

IterNodesCost
02281712
16201592
229481534
done50021534

prune369.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 2.0 t) (/ 1 z))) 2.0))
0.0b
(+ (/ 2.0 t) (* (/ 2.0 t) (/ 1 z)))
0.3b
(* (/ 2.0 t) (/ 1 z))

rewrite365.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×add-exp-log times-frac
24×*-un-lft-identity
17×add-cube-cbrt
15×add-cbrt-cube
14×add-log-exp
13×associate-*r* associate-*l*
8×div-exp prod-exp
6×frac-add unswap-sqr
5×pow1 sum-log
4×cbrt-undiv cbrt-unprod
3×associate-+r+
2×+-commutative frac-times rec-exp flip3-+ diff-log 1-exp associate-*r/ associate-*l/ un-div-inv flip-+ div-inv distribute-lft-out
1×associate-+r- sub-neg flip3-- pow-prod-down associate--l+ *-commutative flip-- distribute-lft-out--
Counts
3 → 93
Calls
3 calls:
272.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 2.0 t) (/ 1 z))) 2.0))
33.0ms
(+ (/ 2.0 t) (* (/ 2.0 t) (/ 1 z)))
56.0ms
(* (/ 2.0 t) (/ 1 z))

series173.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 2.0 t) (/ 1 z))) 2.0))
71.0ms
(+ (/ 2.0 t) (* (/ 2.0 t) (/ 1 z)))
27.0ms
(* (/ 2.0 t) (/ 1 z))

simplify3.6s

Counts
102 → 102
Iterations

Useful iterations: 2 (608.0ms)

IterNodesCost
02031602
16441439
238341166
done50001166

prune290.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
done1315

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s10475×body80valid