Details

Time bar (total: 7.5s)

sample24.0ms

Algorithm
intervals
Results
10.0ms360×body80valid

simplify456.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1159
2269
3459
4759
51069
61219
71379
81719
92379
103239
113649
124379
134569
done4569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.3b
(/ (* y (- z t)) a)

rewrite22.0ms

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

series136.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ x (/ (* y (- z t)) a))
35.0ms
(* y (- z t))
50.0ms
(/ (* y (- z t)) a)

simplify1.4s

Counts
70 → 70
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0116722
1297679
2868589
33970589
done5001588

prune156.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.3b
(/ y (/ a (- z t)))

rewrite53.0ms

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 (/ a (- z t))))
5.0ms
(/ a (- z t))
12.0ms
(/ y (/ a (- z t)))

series136.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ x (/ y (/ a (- z t))))
28.0ms
(/ a (- z t))
56.0ms
(/ y (/ a (- z t)))

simplify635.0ms

Counts
160 → 160
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
02452291
15482136
218032056
done50002056

prune397.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
6.7b
(* (/ y a) (- z t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y a) (- z t)))
15.0ms
(* (/ y a) (- z t))

series103.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (* (/ y a) (- z t)))
56.0ms
(* (/ y a) (- z t))

simplify1.8s

Counts
63 → 63
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
0123723
1322691
21057619
34238619
done5000619

prune131.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z t) (/ a y)))
7.0b
(/ (- z t) (/ a y))

rewrite43.0ms

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:
27.0ms
(+ x (/ (- z t) (/ a y)))
10.0ms
(/ (- z t) (/ a y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ x (/ (- z t) (/ a y)))
45.0ms
(/ (- z t) (/ a y))

simplify647.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
02191896
16061758
218241680
done50011680

prune276.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes311.0ms

Accuracy

56.1% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01843
12435
done2435

end0.0ms

sample610.0ms

Algorithm
intervals
Results
299.0ms10683×body80valid