Details

Time bar (total: 13.2s)

sample33.0ms

Algorithm
intervals
Results
8.0ms275×body80valid
8.0ms282×body80nan

simplify115.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
21×prod-diff
16×add-exp-log add-cbrt-cube
15×times-frac
6×pow1 associate-*r* associate-/l* add-log-exp
5×div-inv
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×fma-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num associate-/r* unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
14.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
12.0ms
(/ y (* 3.0 (sqrt x)))
7.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series172.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
65.0ms
(/ y (* 3.0 (sqrt x)))
24.0ms
(/ 1.0 (* x 9.0))
43.0ms
(* 3.0 (sqrt x))

simplify1.1s

Counts
122 → 122
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02421742
15671480
216271157
done50001000

prune265.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
213×add-sqr-sqrt
202×*-un-lft-identity
200×add-cube-cbrt
129×prod-diff
18×div-inv
16×add-exp-log add-cbrt-cube associate-/l*
6×pow1 associate-*r* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u
3×fma-neg associate-*l* difference-of-squares
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- associate-/l/ distribute-lft-out--
Counts
4 → 269
Calls
4 calls:
29.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
12.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)
9.0ms
(* 3.0 (sqrt x))

series158.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
61.0ms
(/ y (* 3.0 (sqrt x)))
19.0ms
(/ (/ 1.0 x) 9.0)
44.0ms
(* 3.0 (sqrt x))

simplify1.6s

Counts
281 → 281
Iterations

Useful iterations: done (1.6s)

IterNodesCost
05938950
114788218
243696163
done50006148

prune623.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite460.0ms

Algorithm
rewrite-expression-head
Rules
1794×times-frac
1758×add-sqr-sqrt
1159×*-un-lft-identity
986×add-cube-cbrt
832×prod-diff
317×sqrt-prod
257×difference-of-squares
131×associate--l+
87×distribute-lft-out--
86×div-inv
26×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
10×fma-neg
9×associate-/r*
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub associate-/l/
1×associate--l-
Counts
4 → 1073
Calls
4 calls:
294.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
28.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
13.0ms
(/ (/ 1.0 x) 9.0)
13.0ms
(/ (/ y 3.0) (sqrt x))

series163.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
35.0ms
(- 1.0 (/ (/ 1.0 x) 9.0))
17.0ms
(/ (/ 1.0 x) 9.0)
65.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.3s

Counts
1085 → 1085
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0145459763
1358454843
done500050960

prune2.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
337×times-frac
278×add-sqr-sqrt
239×*-un-lft-identity
231×add-cube-cbrt
136×prod-diff
131×associate--l+
35×add-exp-log
25×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
20×div-inv
16×associate-/l*
13×div-exp associate-*l*
10×unswap-sqr
9×associate-/r* add-log-exp
8×pow1 cbrt-undiv prod-exp frac-sub
7×fma-neg
6×difference-of-squares
5×flip3-- flip--
4×expm1-log1p-u cbrt-unprod log1p-expm1-u
3×frac-times rec-exp pow-flip diff-log 1-exp associate-*r/ associate-*l/ un-div-inv
2×sub-neg frac-2neg clear-num distribute-lft-out--
1×associate--l- sqrt-pow1 pow1/2 pow-prod-down *-commutative associate-/l/ inv-pow
Counts
4 → 360
Calls
4 calls:
245.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ y 3.0) (/ 1 (sqrt x))))
7.0ms
(/ 1 (sqrt x))
32.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)

series155.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ y 3.0) (/ 1 (sqrt x))))
31.0ms
(/ 1 (sqrt x))
58.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))
18.0ms
(/ (/ 1.0 x) 9.0)

simplify1.8s

Counts
372 → 372
Iterations

Useful iterations: 2 (839.0ms)

IterNodesCost
06119084
116127923
249876485
done50006485

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes52.0ms

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
01416
11716
done1716

end0.0ms

sample846.0ms

Algorithm
intervals
Results
256.0ms8565×body80valid
226.0ms8478×body80nan