Details

Time bar (total: 11.1s)

sample29.0ms

Algorithm
intervals
Results
11.0ms334×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
7.7b
(/ (* y (- z x)) t)

rewrite79.0ms

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 (/ (* y (- z x)) t))
42.0ms
(* y (- z x))
26.0ms
(/ (* y (- z x)) t)

series183.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (/ (* y (- z x)) t))
52.0ms
(* y (- z x))
89.0ms
(/ (* y (- z x)) t)

simplify791.0ms

Counts
70 → 70
Iterations

Useful iterations: done (789.0ms)

IterNodesCost
0113722
1309679
21171613
done5001589

prune151.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.4b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite102.0ms

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:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
89.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series849.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt t)
240.0ms
(cbrt t)
235.0ms
(cbrt t)
124.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify1.6s

Counts
116 → 116
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01611577
15171511
234511161
done50001080

prune442.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
6.2b
(/ y (/ t (- z x)))

rewrite121.0ms

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:
59.0ms
(+ x (/ y (/ t (- z x))))
23.0ms
(/ t (- z x))
26.0ms
(/ y (/ t (- z x)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (/ y (/ t (- z x))))
31.0ms
(/ t (- z x))
79.0ms
(/ y (/ t (- z x)))

simplify1.1s

Counts
160 → 160
Iterations

Useful iterations: 2 (360.0ms)

IterNodesCost
02422291
16222158
228952056
done50022056

prune456.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
4.5b
(* (/ y t) (- z x))

rewrite46.0ms

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:
8.0ms
(+ x (* (/ y t) (- z x)))
36.0ms
(* (/ y t) (- z x))

series127.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (* (/ y t) (- z x)))
82.0ms
(* (/ y t) (- z x))

simplify781.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
0120723
1323691
21434643
done5000643

prune185.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

61% (0.8b remaining)

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

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01751
12343
done2343

end0.0ms

sample1.4s

Algorithm
intervals
Results
424.0ms10630×body80valid