Details

Time bar (total: 21.7s)

sample43.0ms

Algorithm
intervals
Results
12.0ms273×body80valid
11.0ms275×body80nan

simplify119.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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))

rewrite242.0ms

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:
191.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms
(* 3.0 (sqrt x))
18.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(/ 1.0 (* x 9.0))

series222.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
63.0ms
(* 3.0 (sqrt x))
78.0ms
(/ y (* 3.0 (sqrt x)))
30.0ms
(/ 1.0 (* x 9.0))

simplify1.8s

Counts
166 → 166
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03093815
17643277
222752669
done50012254

prune554.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

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)

rewrite489.0ms

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:
390.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
17.0ms
(* 3.0 (sqrt x))
11.0ms
(/ y (* 3.0 (sqrt x)))
31.0ms
(/ (/ 1.0 x) 9.0)

series210.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
41.0ms
(* 3.0 (sqrt x))
66.0ms
(/ y (* 3.0 (sqrt x)))
28.0ms
(/ (/ 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

localize13.0ms

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)))

rewrite431.0ms

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:
336.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
13.0ms
(/ y (sqrt x))
17.0ms
(/ (/ 1.0 x) 9.0)
38.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
69.0ms
(/ y (sqrt x))
18.0ms
(/ (/ 1.0 x) 9.0)
88.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify2.5s

Counts
362 → 362
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
05878947
115407897
249476460
done50006460

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite958.0ms

Algorithm
rewrite-expression-head
Rules
1599×add-sqr-sqrt
1593×times-frac
1007×*-un-lft-identity
836×add-cube-cbrt
703×prod-diff
317×sqrt-prod
254×difference-of-squares
131×associate--l+
86×distribute-lft-out--
74×div-inv
26×associate-/l*
13×add-exp-log add-cbrt-cube
9×associate-/r*
8×add-log-exp
7×fma-neg
6×cbrt-undiv div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip-- associate-/l/
1×associate--l-
Counts
3 → 923
Calls
3 calls:
756.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
23.0ms
(/ (/ 1.0 x) 9.0)
24.0ms
(/ (/ y 3.0) (sqrt x))

series178.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
30.0ms
(/ (/ 1.0 x) 9.0)
78.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.7s

Counts
932 → 932
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0127752166
1320647955
done500139268

prune4.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
done1214

end0.0ms

sample2.1s

Algorithm
intervals
Results
726.0ms8505×body80nan
713.0ms8519×body80valid