Details

Time bar (total: 10.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms349×body80valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2259
3449
4749
51029
61209
71409
82009
93289
105639
118559
1212139
1319319
1428719
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.5b
(/ (* y (- z x)) t)

rewrite21.0ms

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:
9.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series115.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* y (- z x))
34.0ms
(+ x (/ (* y (- z x)) t))
48.0ms
(/ (* y (- z x)) t)

simplify489.0ms

Counts
70 → 70
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
0113722
1290679
21015589
done5001589

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z x) (/ t y)))
7.4b
(/ (- z x) (/ t y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
26.0ms
(+ x (/ (- z x) (/ t y)))
12.0ms
(/ (- z x) (/ t y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (/ (- z x) (/ t y)))
44.0ms
(/ (- z x) (/ t y))

simplify666.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
02171896
16041758
218841680
done50001680

prune240.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
5.6b
(/ y (/ t (- z x)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
29.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
9.0ms
(/ y (/ t (- z x)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ y (/ t (- z x))))
28.0ms
(/ t (- z x))
55.0ms
(/ y (/ t (- z x)))

simplify936.0ms

Counts
160 → 160
Iterations

Useful iterations: 2 (193.0ms)

IterNodesCost
02422291
15402136
219972056
done50002056

prune343.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z x) t)
0.0b
(+ x (* (/ (- z x) t) y))
6.0b
(* (/ (- z x) t) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*r* 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 pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
7.0ms
(/ (- z x) t)
2.0ms
(+ x (* (/ (- z x) t) y))
15.0ms
(* (/ (- z x) t) y)

series105.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (- z x) t)
33.0ms
(+ x (* (/ (- z x) t) y))
44.0ms
(* (/ (- z x) t) y)

simplify1.6s

Counts
96 → 96
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01381033
1347984
2951916
34152892
done5000891

prune174.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes125.0ms

Accuracy

59.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051
12451
done2451

end0.0ms

sample546.0ms

Algorithm
intervals
Results
277.0ms10704×body80valid