Details

Time bar (total: 21.1s)

sample36.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify334.0ms

Counts
1 → 1
Iterations
IterNodes
done174
8174
7173
6162
5131
490
348
227
115
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize18.0ms

Local error

Found 1 expressions with local error:

13.6b
(/ (* (* x 2.0) y) (- x y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg clear-num flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
61.0ms
(/ (* (* x 2.0) y) (- x y))

series127.0ms

Counts
1 → 3
Calls
1 calls:
126.0ms
(/ (* (* x 2.0) y) (- x y))

simplify3.7s

Counts
34 → 34
Iterations
IterNodes
done5000
2877
1222
079

prune279.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.2b
(* (* 2.0 x) (/ y (- x y)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
22.0ms
(/ y (- x y))
73.0ms
(* (* 2.0 x) (/ y (- x y)))

series207.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ y (- x y))
120.0ms
(* (* 2.0 x) (/ y (- x y)))

simplify2.3s

Counts
88 → 88
Iterations
IterNodes
done5001
21189
1336
0120

prune567.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

6.2b
(* (* 2.0 x) (* (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y)))))
6.6b
(cbrt (/ y (- x y)))
6.6b
(cbrt (/ y (- x y)))
6.6b
(cbrt (/ y (- x y)))

rewrite524.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
25×pow1 add-exp-log
17×add-cbrt-cube
15×cbrt-div pow-prod-down prod-exp cbrt-unprod
10×associate-*r/
9×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 133
Calls
4 calls:
462.0ms
(* (* 2.0 x) (* (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y)))))
22.0ms
(cbrt (/ y (- x y)))
14.0ms
(cbrt (/ y (- x y)))
13.0ms
(cbrt (/ y (- x y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (* 2.0 x) (* (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y)))))
373.0ms
(cbrt (/ y (- x y)))
366.0ms
(cbrt (/ y (- x y)))
387.0ms
(cbrt (/ y (- x y)))

simplify5.9s

Counts
145 → 145
Iterations
IterNodes
done5004
33661
21037
1353
0164

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- x y) (* (* x 2.0) y)))
13.7b
(/ (- x y) (* (* x 2.0) y))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
45×add-exp-log
34×add-sqr-sqrt *-un-lft-identity
25×add-cbrt-cube
22×add-cube-cbrt
20×div-exp
12×prod-exp
10×cbrt-undiv associate-/r*
8×associate-/l*
6×cbrt-unprod div-inv distribute-lft-out-- difference-of-squares
4×rec-exp 1-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
2 → 102
Calls
2 calls:
90.0ms
(/ 1 (/ (- x y) (* (* x 2.0) y)))
62.0ms
(/ (- x y) (* (* x 2.0) y))

series245.0ms

Counts
2 → 6
Calls
2 calls:
136.0ms
(/ 1 (/ (- x y) (* (* x 2.0) y)))
110.0ms
(/ (- x y) (* (* x 2.0) y))

simplify2.6s

Counts
108 → 108
Iterations
IterNodes
done5004
21469
1440
0167

prune504.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample812.0ms

Algorithm
intervals
Results
510.0ms8000×body80valid