Details

Time bar (total: 15.4s)

sample30.0ms

Algorithm
intervals
Results
11.0ms347×body80valid

simplify708.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4859
51149
61299
71429
81759
92329
102619
112989
123299
133399
done3399

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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
(+ x (/ (* y (- z t)) a))
20.0ms
(* y (- z t))
37.0ms
(/ (* y (- z t)) a)

series178.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ x (/ (* y (- z t)) a))
45.0ms
(* y (- z t))
74.0ms
(/ (* y (- z t)) a)

simplify2.4s

Counts
70 → 70
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
0116722
1297679
2909589
34421589
done5001589

prune214.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.2b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite92.0ms

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 a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
81.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series984.0ms

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt a)
310.0ms
(cbrt a)
251.0ms
(cbrt a)
120.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.3s

Counts
116 → 116
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune474.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite125.0ms

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:
68.0ms
(+ x (/ y (/ a (- z t))))
32.0ms
(/ a (- z t))
17.0ms
(/ y (/ a (- z t)))

series232.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ x (/ y (/ a (- z t))))
57.0ms
(/ a (- z t))
88.0ms
(/ y (/ a (- z t)))

simplify1.9s

Counts
160 → 160
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02452291
15342136
217992056
done50002026

prune626.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (/ y a) (/ 1 (- z t))))
0.0b
(/ 1 (- z t))
5.9b
(/ (/ y a) (/ 1 (- z t)))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
166.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
34.0ms
(/ 1 (- z t))
54.0ms
(/ (/ y a) (/ 1 (- z t)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
60.0ms
(/ 1 (- z t))
76.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify2.4s

Counts
393 → 393
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
05938310
116346601
240006103
done50006103

prune947.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes541.0ms

Accuracy

85.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02345
12845
done2845

end0.0ms

sample1.6s

Algorithm
intervals
Results
660.0ms10523×body80valid