Details

Time bar (total: 13.4s)

sample27.0ms

Algorithm
intervals
Results
11.0ms327×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3589
41019
51589
62079
73899
89929
936539
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.8b
(* (- y x) (/ z t))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
8.0ms
(+ x (* (- y x) (/ z t)))
46.0ms
(* (- y x) (/ z t))

series121.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ x (* (- y x) (/ z t)))
75.0ms
(* (- y x) (/ z t))

simplify1.2s

Counts
55 → 55
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0115669
1308631
21520581
done5000557

prune183.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* z (- y x)) t))
0.0b
(* z (- y x))
8.3b
(/ (* z (- y x)) t)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
10.0ms
(+ x (/ (* z (- y x)) t))
24.0ms
(* z (- y x))
29.0ms
(/ (* z (- y x)) t)

series174.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ x (/ (* z (- y x)) t))
55.0ms
(* z (- y x))
60.0ms
(/ (* z (- y x)) t)

simplify930.0ms

Counts
70 → 70
Iterations

Useful iterations: done (928.0ms)

IterNodesCost
0113722
1308685
21169613
done5000589

prune214.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) t)
0.0b
(+ x (* z (/ (- y x) t)))
6.6b
(* z (/ (- y x) t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
22.0ms
(/ (- y x) t)
11.0ms
(+ x (* z (/ (- y x) t)))
29.0ms
(* z (/ (- y x) t))

series167.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- y x) t)
63.0ms
(+ x (* z (/ (- y x) t)))
66.0ms
(* z (/ (- y x) t))

simplify1.1s

Counts
96 → 96
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01371051
1363988
21584920
done5001914

prune316.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* z (- y x)) (/ 1 t)))
0.0b
(* z (- y x))
8.4b
(* (* z (- y x)) (/ 1 t))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
8.0ms
(+ x (* (* z (- y x)) (/ 1 t)))
25.0ms
(* z (- y x))
64.0ms
(* (* z (- y x)) (/ 1 t))

series179.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ x (* (* z (- y x)) (/ 1 t)))
49.0ms
(* z (- y x))
78.0ms
(* (* z (- y x)) (/ 1 t))

simplify3.6s

Counts
88 → 88
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01511062
1438954
22514781
done5002771

prune206.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes381.0ms

Accuracy

59.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02556
13648
done3648

end0.0ms

sample1.6s

Algorithm
intervals
Results
883.0ms10684×body80valid