Details

Time bar (total: 22.0s)

sample61.0ms

Algorithm
intervals
Results
17.0ms278×body80valid
15.0ms273×body80nan

simplify132.0ms

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: 0.3b

localize13.0ms

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
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite213.0ms

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:
159.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
20.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(/ 1.0 (* x 9.0))
15.0ms
(* 3.0 (sqrt x))

series185.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
64.0ms
(/ y (* 3.0 (sqrt x)))
18.0ms
(/ 1.0 (* x 9.0))
38.0ms
(* 3.0 (sqrt x))

simplify1.7s

Counts
166 → 166
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03093815
17643277
222752669
done50012254

prune426.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite726.0ms

Algorithm
rewrite-expression-head
Rules
1342×times-frac
1297×add-sqr-sqrt
809×*-un-lft-identity
716×add-cube-cbrt
554×prod-diff
212×associate--l+
179×difference-of-squares
173×sqrt-prod
55×div-inv
47×distribute-lft-out--
38×associate-/l*
16×add-exp-log add-cbrt-cube
12×associate-/r*
9×add-log-exp
8×fma-neg
7×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg diff-log clear-num
2×sub-neg flip3-- frac-sub flip-- associate-/l/
1×associate--l-
Counts
4 → 808
Calls
4 calls:
590.0ms
(- (- 1.0 (/ (/ y (sqrt x)) 3.0)) (/ (/ 1.0 x) 9.0))
17.0ms
(/ (/ 1.0 x) 9.0)
25.0ms
(/ (/ y (sqrt x)) 3.0)
9.0ms
(/ y (sqrt x))

series213.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- (- 1.0 (/ (/ y (sqrt x)) 3.0)) (/ (/ 1.0 x) 9.0))
21.0ms
(/ (/ 1.0 x) 9.0)
75.0ms
(/ (/ y (sqrt x)) 3.0)
59.0ms
(/ y (sqrt x))

simplify1.3s

Counts
820 → 820
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0110437710
1281434984
done500028475

prune3.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
138×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×sqrt-prod
41×associate-/l*
25×add-exp-log
21×add-cbrt-cube
13×associate-/r*
12×div-exp div-inv
9×cbrt-undiv
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×rec-exp 1-exp prod-exp cbrt-unprod
Counts
4 → 246
Calls
4 calls:
12.0ms
(/ (/ 1 x) 9.0)
26.0ms
(/ (/ y (sqrt x)) 3.0)
6.0ms
(/ y (sqrt x))
8.0ms
(/ -1 (* 9.0 x))

series205.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (/ 1 x) 9.0)
93.0ms
(/ (/ y (sqrt x)) 3.0)
61.0ms
(/ y (sqrt x))
19.0ms
(/ -1 (* 9.0 x))

simplify1.7s

Counts
258 → 258
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04163121
19112807
220102682
done50002670

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
1061×times-frac
605×add-sqr-sqrt
547×*-un-lft-identity
540×add-cube-cbrt
282×cbrt-prod
249×sqrt-prod
136×associate-*l*
97×add-exp-log
66×associate-/l*
42×div-exp
37×add-cbrt-cube
32×div-inv
30×prod-exp
24×cbrt-undiv
21×unswap-sqr
18×associate-/r*
12×cbrt-unprod
7×associate-*r*
6×pow1 rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative
Counts
4 → 740
Calls
4 calls:
174.0ms
(* (/ (/ y (sqrt x)) (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
33.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))
18.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))
34.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))

series816.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (/ (/ y (sqrt x)) (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
198.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))
212.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))
229.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))

simplify2.2s

Counts
752 → 752
Iterations

Useful iterations: done (2.2s)

IterNodesCost
048613625
1135712547
2400911676
done500011649

prune4.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02229
13127
done3127

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s8551×body80valid
662.0ms8359×body80nan