Details

Time bar (total: 13.4s)

sample49.0ms

Algorithm
intervals
Results
18.0ms339×body80valid

simplify561.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41379
51879
62319
72499
82999
93259
103319
done3319

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.0b
(/ (* y (- z t)) a)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 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/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
23.0ms
(* y (- z t))
22.0ms
(/ (* y (- z t)) a)

series118.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* y (- z t))
66.0ms
(/ (* y (- z t)) a)

simplify2.5s

Counts
55 → 55
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
094493
1231473
2711399
33396399
done5001399

prune172.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
6.5b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite132.0ms

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 a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
119.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series998.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt a)
283.0ms
(cbrt a)
281.0ms
(cbrt a)
145.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.3s

Counts
116 → 116
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune402.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
6.0b
(/ y (/ a (- z t)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
21.0ms
(/ a (- z t))
27.0ms
(/ y (/ a (- z t)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ a (- z t))
62.0ms
(/ y (/ a (- z t)))

simplify1.6s

Counts
145 → 145
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02232062
14681930
216151854
done50001836

prune529.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

8.0b
(* (/ y a) (- z t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
55.0ms
(* (/ y a) (- z t))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(* (/ y a) (- z t))

simplify2.3s

Counts
45 → 45
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
099475
1253466
2802410
32730410
done5002410

prune139.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes624.0ms

Accuracy

85.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01843
12335
done2335

end0.0ms

sample1.6s

Algorithm
intervals
Results
754.0ms10609×body80valid