Details

Time bar (total: 12.8s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 45
Calls
1 calls:
33.0ms
(/ (+ x y) (- x y))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (+ x y) (- x y))

simplify2.2s

Counts
48 → 48
Iterations
IterNodes
done5001
33448
2591
1175
076

prune154.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
121×*-un-lft-identity
80×times-frac
79×add-sqr-sqrt
78×cbrt-prod
45×add-cube-cbrt
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
8×associate-/r/
6×add-cbrt-cube add-exp-log
5×associate-/r*
4×pow1 flip3-- div-inv flip-- associate-/l* add-log-exp
3×cbrt-div pow1/3
2×associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+
Counts
4 → 150
Calls
4 calls:
28.0ms
(/ (+ x y) (- x y))
9.0ms
(cbrt (/ (+ x y) (- x y)))
7.0ms
(cbrt (/ (+ x y) (- x y)))
9.0ms
(cbrt (/ (+ x y) (- x y)))

series918.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (+ x y) (- x y))
274.0ms
(cbrt (/ (+ x y) (- x y)))
280.0ms
(cbrt (/ (+ x y) (- x y)))
276.0ms
(cbrt (/ (+ x y) (- x y)))

simplify1.9s

Counts
162 → 162
Iterations
IterNodes
done5001
33778
2665
1226
0117

prune705.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.1b
(* (+ x y) (/ 1 (- x y)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
10.0ms
(/ 1 (- x y))
61.0ms
(* (+ x y) (/ 1 (- x y)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ 1 (- x y))
96.0ms
(* (+ x y) (/ 1 (- x y)))

simplify2.8s

Counts
96 → 96
Iterations
IterNodes
done5000
22719
1311
0120

prune316.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-prod
52×*-un-lft-identity
38×add-sqr-sqrt
35×times-frac
25×cbrt-div
24×add-cube-cbrt
8×flip3-+ flip-+
7×distribute-lft-out distribute-lft-out-- difference-of-squares
4×frac-times pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
2×associate-*l/ associate-*r/ associate-/r/
1×flip3-- div-inv flip--
Counts
4 → 95
Calls
4 calls:
6.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
14.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
9.0ms
(cbrt (/ (cbrt (+ x y)) (- x y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (+ x y))
183.0ms
(cbrt (+ x y))
327.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
437.0ms
(cbrt (/ (cbrt (+ x y)) (- x y)))

simplify942.0ms

Counts
107 → 107
Iterations
IterNodes
done5000
21312
1457
0246

prune627.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample404.0ms

Algorithm
intervals
Results
249.0ms8000×body80valid