Details

Time bar (total: 20.6s)

sample55.0ms

Algorithm
intervals
Results
16.0ms268×body80valid
12.0ms217×body80nan

simplify197.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
63×*-un-lft-identity
56×prod-diff
42×add-cube-cbrt
30×times-frac
23×associate--l+
16×add-exp-log add-cbrt-cube
11×distribute-lft-out--
10×div-inv
9×add-log-exp difference-of-squares
6×pow1 associate-*r* associate-/l*
5×fma-neg
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×diff-log associate-*l* prod-exp cbrt-unprod
2×sub-neg flip3-- frac-2neg clear-num associate-/r* frac-sub flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
177.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(* 3.0 (sqrt x))
11.0ms
(/ 1.0 (* x 9.0))

series232.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
77.0ms
(/ y (* 3.0 (sqrt x)))
53.0ms
(* 3.0 (sqrt x))
29.0ms
(/ 1.0 (* x 9.0))

simplify2.1s

Counts
166 → 166
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03093815
17643277
222792669
done50002254

prune553.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite372.0ms

Algorithm
rewrite-expression-head
Rules
819×times-frac
705×add-sqr-sqrt
694×*-un-lft-identity
523×add-cube-cbrt
431×prod-diff
239×sqrt-prod
88×difference-of-squares
86×distribute-lft-out--
47×div-inv
23×associate--l+
16×associate-/l*
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×cbrt-undiv fma-neg div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 600
Calls
3 calls:
253.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
21.0ms
(/ (/ y 3.0) (sqrt x))
13.0ms
(/ 1.0 (* x 9.0))

series157.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
67.0ms
(/ (/ y 3.0) (sqrt x))
24.0ms
(/ 1.0 (* x 9.0))

simplify982.0ms

Counts
609 → 609
Iterations

Useful iterations: done (948.0ms)

IterNodesCost
089933685
1226730822
done500024334

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
1049×times-frac
1041×add-sqr-sqrt
781×*-un-lft-identity
610×add-cube-cbrt
531×prod-diff
278×sqrt-prod
171×difference-of-squares
86×distribute-lft-out--
53×div-inv
41×associate--l+
13×associate-/l*
7×add-exp-log add-cbrt-cube add-log-exp
6×fma-neg associate-/r*
3×cbrt-undiv diff-log div-exp
2×pow1 expm1-log1p-u sub-neg flip3-- frac-sub flip-- log1p-expm1-u
1×associate--l- frac-2neg clear-num associate-/l/
Counts
2 → 678
Calls
2 calls:
218.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
14.0ms
(/ (/ y 3.0) (sqrt x))

series118.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
70.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.1s

Counts
684 → 684
Iterations

Useful iterations: done (1.0s)

IterNodesCost
097238607
1242735221
done500027636

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt x) (/ y (cbrt 3.0)))
0.4b
(/ y (cbrt 3.0))
0.4b
(/ 1.0 (* x 9.0))
0.5b
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
3572×times-frac
1418×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
597×sqrt-prod
507×cbrt-prod
205×div-inv
166×associate-/r*
94×add-exp-log
60×div-exp
41×add-cbrt-cube
30×cbrt-undiv
19×associate-/l*
10×prod-exp associate-/r/
6×rec-exp 1-exp
4×pow1 expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
4 → 1388
Calls
4 calls:
16.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
7.0ms
(/ y (cbrt 3.0))
9.0ms
(/ 1.0 (* x 9.0))
97.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
64.0ms
(/ y (cbrt 3.0))
18.0ms
(/ 1.0 (* x 9.0))
126.0ms
(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

simplify4.5s

Counts
1400 → 1400
Iterations

Useful iterations: done (4.4s)

IterNodesCost
0163840794
1454836355
done500036123

prune3.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
done1112

end0.0ms

sample1.9s

Algorithm
intervals
Results
664.0ms8572×body80valid
615.0ms8683×body80nan