Details

Time bar (total: 11.7s)

sample47.0ms

Algorithm
intervals
Results
23.0ms509×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize23.0ms

Local error

Found 2 expressions with local error:

20.8b
(/ (* z z) (* t t))
21.5b
(/ (* x x) (* y y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
14.0ms
(/ (* z z) (* t t))
27.0ms
(/ (* x x) (* y y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (* z z) (* t t))
41.0ms
(/ (* x x) (* y y))

simplify1.9s

Counts
48 → 48
Iterations

Useful iterations: 2 (427.0ms)

IterNodesCost
090538
1319522
23459356
done5002356

prune123.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
20.8b
(/ (* z z) (* t t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
41×times-frac
30×add-cube-cbrt *-un-lft-identity
26×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv
4×unswap-sqr
2×add-log-exp
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-sqr *-commutative pow-prod-up associate-/l*
Counts
2 → 88
Calls
2 calls:
39.0ms
(* (/ x y) (/ x y))
22.0ms
(/ (* z z) (* t t))

series89.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (/ x y) (/ x y))
50.0ms
(/ (* z z) (* t t))

simplify2.3s

Counts
94 → 94
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01531119
15481029
24190862
done5002841

prune264.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
80×times-frac
58×add-cube-cbrt *-un-lft-identity
26×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
16×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up add-log-exp
Counts
2 → 134
Calls
2 calls:
27.0ms
(* (/ x y) (/ x y))
38.0ms
(* (/ z t) (/ z t))

series88.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (/ x y) (/ x y))
51.0ms
(* (/ z t) (/ z t))

simplify456.0ms

Counts
140 → 140
Iterations

Useful iterations: done (453.0ms)

IterNodesCost
02111700
17601536
done50001368

prune525.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z t)) (cbrt (/ z t)))
8.6b
(cbrt (/ z t))
8.6b
(cbrt (/ z t))
8.6b
(cbrt (/ z t))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
39.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
3.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))

series410.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
97.0ms
(cbrt (/ z t))
103.0ms
(cbrt (/ z t))
85.0ms
(cbrt (/ z t))

simplify1.7s

Counts
156 → 156
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01611876
12831747
212181675
done50001646

prune691.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes670.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
11526
done1526

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.3s15432×body80valid