Details

Time bar (total: 25.1s)

sample37.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify17.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-cbrt-cube add-exp-log
associate-/r/ associate-/l/
pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 46
Calls
1 calls:
60.0ms
(/ (+ x y) (- x y))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ (+ x y) (- x y))

simplify2.8s

Counts
49 → 49
Iterations
IterNodes
done5006
31660
2465
1176
077

prune359.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- x y) (+ x y)))
0.0b
(/ (- x y) (+ x y))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
add-cbrt-cube
div-exp associate-/l*
div-inv
flip3-+ flip-+
cbrt-undiv
pow1
rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp associate-/l/
flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 176
Calls
2 calls:
42.0ms
(/ 1 (/ (- x y) (+ x y)))
45.0ms
(/ (- x y) (+ x y))

series167.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ 1 (/ (- x y) (+ x y)))
84.0ms
(/ (- x y) (+ x y))

simplify2.7s

Counts
182 → 182
Iterations
IterNodes
done5001
21929
1544
0207

prune731.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
cbrt-div add-cube-cbrt
pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
flip3-- flip-- distribute-lft-out-- difference-of-squares
flip3-+ flip-+ distribute-lft-out
Counts
4 → 63
Calls
4 calls:
6.0ms
(cbrt (+ x y))
9.0ms
(cbrt (- x y))
8.0ms
(cbrt (- x y))
10.0ms
(cbrt (- x y))

series1.2s

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt (+ x y))
367.0ms
(cbrt (- x y))
274.0ms
(cbrt (- x y))
284.0ms
(cbrt (- x y))

simplify5.9s

Counts
75 → 75
Iterations
IterNodes
done5010
44215
31335
2499
1222
0104

prune737.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
55.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
6.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))

series1.0s

Counts
4 → 12
Calls
4 calls:
293.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
251.0ms
(cbrt (+ x y))
269.0ms
(cbrt (+ x y))
202.0ms
(cbrt (+ x y))

simplify6.4s

Counts
111 → 111
Iterations
IterNodes
done5001
44996
31700
2655
1276
0118

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes257.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample902.0ms

Algorithm
intervals
Results
603.0ms8000×body80valid