Details

Time bar (total: 19.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify211.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1189
2479
31029
41509
51689
61819
71859
done1859

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize13.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ (- x y) (* (* x 2.0) y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num associate-/r* flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
39.0ms
(/ (- x y) (* (* x 2.0) y))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (- x y) (* (* x 2.0) y))

simplify3.6s

Counts
35 → 35
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
084467
1235452
2903372
34863370
done5000370

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))
0.2b
(/ 1 (* 2.0 y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
49×prod-diff
48×times-frac
38×*-un-lft-identity
36×add-sqr-sqrt
34×add-cube-cbrt
20×div-inv
13×add-exp-log
7×fma-neg add-cbrt-cube
5×pow1
4×div-exp distribute-lft-out-- add-log-exp
3×prod-exp associate-/l*
2×cbrt-undiv expm1-log1p-u rec-exp pow-flip 1-exp log1p-expm1-u
1×sub-neg flip3-- frac-2neg diff-log pow-prod-down clear-num associate-/r* frac-sub flip-- cbrt-unprod inv-pow difference-of-squares
Counts
2 → 106
Calls
2 calls:
42.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))
12.0ms
(/ 1 (* 2.0 y))

series55.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))
20.0ms
(/ 1 (* 2.0 y))

simplify3.4s

Counts
112 → 112
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01542833
13622000
28911492
341431118
done50001118

prune169.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

rewrite410.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
83×*-un-lft-identity
60×div-inv distribute-lft-out--
37×add-sqr-sqrt
33×cbrt-div
31×swap-sqr
15×add-cube-cbrt
11×pow1 flip3-- associate-*r* associate-*l* frac-sub flip--
9×frac-times pow1/3
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 155
Calls
4 calls:
285.0ms
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
23.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
51.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
43.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

series2.3s

Counts
4 → 12
Calls
4 calls:
577.0ms
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
604.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
525.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
594.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

simplify2.8s

Counts
167 → 167
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01714657
13504285
29584022
326683448
done50003336

prune982.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.2b
(/ 1 (* 2.0 y))
0.2b
(/ 1 (* 2.0 y))
0.2b
(* (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))

rewrite464.0ms

Algorithm
rewrite-expression-head
Rules
86×sqrt-prod
77×*-un-lft-identity
54×div-inv
52×distribute-lft-out--
40×add-sqr-sqrt
33×swap-sqr
28×add-exp-log
27×sqrt-div
26×pow1
17×add-cube-cbrt
16×add-cbrt-cube
11×associate-*r* associate-*l*
9×frac-times flip3-- sqrt-pow1 pow1/2 frac-sub flip--
8×div-exp
7×prod-exp
6×times-frac associate-/l*
5×pow-prod-down pow-prod-up difference-of-squares
4×cbrt-undiv expm1-log1p-u rec-exp pow-flip 1-exp log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ associate-*l/ pow-sqr cbrt-unprod
2×frac-2neg clear-num associate-/r* inv-pow
1×pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt *-commutative
Counts
4 → 184
Calls
4 calls:
82.0ms
(sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
12.0ms
(/ 1 (* 2.0 y))
18.0ms
(/ 1 (* 2.0 y))
340.0ms
(* (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
18.0ms
(/ 1 (* 2.0 y))
18.0ms
(/ 1 (* 2.0 y))
42.0ms
(* (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))

simplify3.5s

Counts
196 → 196
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01994325
14232827
212302603
339572530
done50002491

prune422.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11311
done1311

end0.0ms

sample692.0ms

Algorithm
intervals
Results
358.0ms8001×body80valid