Details

Time bar (total: 20.7s)

sample58.0ms

Algorithm
intervals
Results
16.0ms273×body80valid
15.0ms275×body80nan

simplify135.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

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:
147.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms
(* 3.0 (sqrt x))
9.0ms
(/ y (* 3.0 (sqrt x)))
9.0ms
(/ 1.0 (* x 9.0))

series248.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
65.0ms
(* 3.0 (sqrt x))
92.0ms
(/ y (* 3.0 (sqrt x)))
19.0ms
(/ 1.0 (* x 9.0))

simplify2.1s

Counts
166 → 166
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03093815
17643277
222752669
done50012254

prune526.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite428.0ms

Algorithm
rewrite-expression-head
Rules
321×times-frac
299×add-sqr-sqrt
242×*-un-lft-identity
221×add-cube-cbrt
178×prod-diff
131×associate--l+
25×div-inv difference-of-squares
16×add-exp-log add-cbrt-cube associate-/l*
11×distribute-lft-out--
9×add-log-exp
7×fma-neg
6×pow1 associate-*r*
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u
3×diff-log associate-*l*
2×sub-neg flip3-- frac-2neg prod-exp clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 327
Calls
4 calls:
372.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
10.0ms
(* 3.0 (sqrt x))
9.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)

series203.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
46.0ms
(* 3.0 (sqrt x))
67.0ms
(/ y (* 3.0 (sqrt x)))
18.0ms
(/ (/ 1.0 x) 9.0)

simplify2.4s

Counts
339 → 339
Iterations

Useful iterations: done (2.4s)

IterNodesCost
056610014
114619008
245017162
done50007161

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b
(/ y (sqrt x))
0.3b
(/ (/ 1.0 x) 9.0)
0.4b
(* (/ 1 3.0) (/ y (sqrt x)))

rewrite462.0ms

Algorithm
rewrite-expression-head
Rules
336×times-frac
276×add-sqr-sqrt
238×*-un-lft-identity
231×add-cube-cbrt
136×prod-diff
131×associate--l+
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
20×div-inv
16×associate-/l*
13×associate-*l*
12×div-exp
9×associate-/r* add-log-exp unswap-sqr
8×cbrt-undiv prod-exp
7×fma-neg
6×pow1 frac-sub difference-of-squares
4×expm1-log1p-u flip3-- flip-- cbrt-unprod log1p-expm1-u
3×frac-times diff-log associate-*r/ associate-*l/
2×sub-neg rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 350
Calls
4 calls:
361.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
6.0ms
(/ y (sqrt x))
18.0ms
(/ (/ 1.0 x) 9.0)
47.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
55.0ms
(/ y (sqrt x))
23.0ms
(/ (/ 1.0 x) 9.0)
89.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify2.7s

Counts
362 → 362
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
05878947
115407897
249476460
done50006460

prune2.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
404×times-frac
275×add-sqr-sqrt
221×*-un-lft-identity
205×add-cube-cbrt
105×add-exp-log
81×sqrt-prod
71×associate-*r*
53×div-exp
37×add-cbrt-cube
28×prod-exp associate-/r*
22×associate-/l*
21×unswap-sqr
17×rec-exp 1-exp
16×cbrt-undiv div-inv
13×associate-*l*
9×pow1
6×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-flip frac-2neg pow-prod-down clear-num inv-pow
2×associate-/r/
1×frac-times associate-*r/ associate-*l/ un-div-inv *-commutative associate-/l/
Counts
4 → 383
Calls
4 calls:
7.0ms
(/ (sqrt x) y)
14.0ms
(/ (/ 1.0 x) 9.0)
115.0ms
(* (/ 1 3.0) (/ 1 (/ (sqrt x) y)))
19.0ms
(/ 1 (/ (sqrt x) y))

series303.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (sqrt x) y)
33.0ms
(/ (/ 1.0 x) 9.0)
88.0ms
(* (/ 1 3.0) (/ 1 (/ (sqrt x) y)))
85.0ms
(/ 1 (/ (sqrt x) y))

simplify3.4s

Counts
395 → 395
Iterations

Useful iterations: done (3.4s)

IterNodesCost
05445483
113904377
230613712
done50003662

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
11818
done1818

end0.0ms

sample2.1s

Algorithm
intervals
Results
728.0ms8519×body80valid
695.0ms8505×body80nan