Details

Time bar (total: 12.4s)

sample47.0ms

Algorithm
intervals
Results
27.0ms439×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize14.0ms

Local error

Found 2 expressions with local error:

18.6b
(/ (* z z) (* t t))
23.5b
(/ (* x x) (* y y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
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:
13.0ms
(/ (* z z) (* t t))
13.0ms
(/ (* x x) (* y y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* z z) (* t t))
29.0ms
(/ (* x x) (* y y))

simplify3.1s

Counts
48 → 48
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
090538
1239522
2910356
33578326
done5000326

prune107.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ x y) (/ x y))
18.6b
(/ (* z z) (* t t))

rewrite56.0ms

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*
pow1
cbrt-undiv div-exp prod-exp cbrt-unprod
div-inv
unswap-sqr
add-log-exp
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:
32.0ms
(* (/ x y) (/ x y))
19.0ms
(/ (* z z) (* t t))

series79.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (/ x y) (/ x y))
42.0ms
(/ (* z z) (* t t))

simplify1.6s

Counts
94 → 94
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01531119
14321023
21549820
done5001784

prune213.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.4b
(* (/ x y) (/ x y))

rewrite60.0ms

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
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
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
(* (/ z t) (/ z t))
27.0ms
(* (/ x y) (/ x y))

series67.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (/ z t) (/ z t))
28.0ms
(* (/ x y) (/ x y))

simplify1.6s

Counts
140 → 140
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02111700
16231524
221991284
done50001222

prune365.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ x y) (/ x y))
21.8b
(cbrt (* (/ z t) (/ z t)))
21.8b
(cbrt (* (/ z t) (/ z t)))
21.8b
(cbrt (* (/ z t) (/ z t)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
cbrt-div
cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
cbrt-prod pow1/3
pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 103
Calls
4 calls:
22.0ms
(* (/ x y) (/ x y))
8.0ms
(cbrt (* (/ z t) (/ z t)))
8.0ms
(cbrt (* (/ z t) (/ z t)))
13.0ms
(cbrt (* (/ z t) (/ z t)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (/ x y) (/ x y))
112.0ms
(cbrt (* (/ z t) (/ z t)))
108.0ms
(cbrt (* (/ z t) (/ z t)))
91.0ms
(cbrt (* (/ z t) (/ z t)))

simplify1.7s

Counts
115 → 115
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01581348
14021236
212741050
done5000980

prune381.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0b

regimes689.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
11434
done1434

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s15360×body80valid