Details

Time bar (total: 16.9s)

sample53.0ms

Algorithm
intervals
Results
20.0ms336×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4889
51459
62019
73869
89199
931169
done50019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
9.1b
(/ (* y (- z x)) t)

rewrite108.0ms

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:
51.0ms
(* y (- z x))
20.0ms
(+ x (/ (* y (- z x)) t))
34.0ms
(/ (* y (- z x)) t)

series220.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* y (- z x))
69.0ms
(+ x (/ (* y (- z x)) t))
87.0ms
(/ (* y (- z x)) t)

simplify1.1s

Counts
70 → 70
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0113722
1309679
21172613
done5001589

prune397.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
2.0ms
(cbrt t)
132.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
333.0ms
(cbrt t)
377.0ms
(cbrt t)
373.0ms
(cbrt t)
176.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify2.3s

Counts
116 → 116
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01611577
15171511
234511161
done50001080

prune742.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
7.9b
(/ y (/ t (- z x)))

rewrite144.0ms

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:
79.0ms
(+ x (/ y (/ t (- z x))))
22.0ms
(/ t (- z x))
30.0ms
(/ y (/ t (- z x)))

series211.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ x (/ y (/ t (- z x))))
48.0ms
(/ t (- z x))
97.0ms
(/ y (/ t (- z x)))

simplify1.6s

Counts
160 → 160
Iterations

Useful iterations: 2 (522.0ms)

IterNodesCost
02422291
16222158
228952056
done50022056

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
4.4b
(* (/ y t) (- z x))

rewrite74.0ms

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:
20.0ms
(+ x (* (/ y t) (- z x)))
50.0ms
(* (/ y t) (- z x))

series169.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ x (* (/ y t) (- z x)))
96.0ms
(* (/ y t) (- z x))

simplify1.1s

Counts
63 → 63
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
0120723
1323691
21434643
done5000643

prune366.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes368.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s10691×body80valid