Details

Time bar (total: 18.5s)

sample57.0ms

Algorithm
intervals
Results
18.0ms278×body80valid
16.0ms273×body80nan

simplify201.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

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))

rewrite192.0ms

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:
142.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
17.0ms
(* 3.0 (sqrt x))

series214.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
82.0ms
(/ y (* 3.0 (sqrt x)))
24.0ms
(/ 1.0 (* x 9.0))
46.0ms
(* 3.0 (sqrt x))

simplify1.8s

Counts
166 → 166
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03093815
17643277
222752669
done50012254

prune421.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite628.0ms

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:
452.0ms
(- (- 1.0 (/ (/ y (sqrt x)) 3.0)) (/ (/ 1.0 x) 9.0))
12.0ms
(/ (/ 1.0 x) 9.0)
16.0ms
(/ (/ y (sqrt x)) 3.0)
12.0ms
(/ y (sqrt x))

series210.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (- 1.0 (/ (/ y (sqrt x)) 3.0)) (/ (/ 1.0 x) 9.0))
18.0ms
(/ (/ 1.0 x) 9.0)
77.0ms
(/ (/ y (sqrt x)) 3.0)
55.0ms
(/ y (sqrt x))

simplify1.0s

Counts
820 → 820
Iterations

Useful iterations: done (980.0ms)

IterNodesCost
0110437710
1281434984
done500028475

prune3.4s

Pruning

7 alts after pruning (7 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 (* 9.0 x)))
0.2b
(/ (/ y (sqrt x)) 3.0)
0.3b
(/ y (sqrt x))
0.3b
(/ 1.0 (* 9.0 x))

rewrite706.0ms

Algorithm
rewrite-expression-head
Rules
583×times-frac
482×add-sqr-sqrt
397×*-un-lft-identity
376×add-cube-cbrt
266×prod-diff
212×associate--l+
137×sqrt-prod
33×difference-of-squares
28×associate-/l*
27×div-inv
16×add-exp-log add-cbrt-cube
11×distribute-lft-out--
10×associate-/r*
9×add-log-exp
8×fma-neg
6×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--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 469
Calls
4 calls:
605.0ms
(- (- 1.0 (/ (/ y (sqrt x)) 3.0)) (/ 1.0 (* 9.0 x)))
23.0ms
(/ (/ y (sqrt x)) 3.0)
10.0ms
(/ y (sqrt x))
12.0ms
(/ 1.0 (* 9.0 x))

series257.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (- 1.0 (/ (/ y (sqrt x)) 3.0)) (/ 1.0 (* 9.0 x)))
93.0ms
(/ (/ y (sqrt x)) 3.0)
63.0ms
(/ y (sqrt x))
24.0ms
(/ 1.0 (* 9.0 x))

simplify1.1s

Counts
481 → 481
Iterations

Useful iterations: done (1.0s)

IterNodesCost
064915367
1170313821
done500011202

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
638×times-frac
388×add-sqr-sqrt
330×*-un-lft-identity
323×add-cube-cbrt
144×cbrt-prod
136×associate-*r*
135×sqrt-prod
94×add-exp-log
40×div-exp
38×add-cbrt-cube associate-/l*
30×prod-exp
22×cbrt-undiv div-inv
21×unswap-sqr
15×associate-/r*
12×cbrt-unprod
7×associate-*l*
6×pow1 rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 498
Calls
4 calls:
14.0ms
(/ (/ 1.0 x) 9.0)
10.0ms
(/ y (sqrt x))
144.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (sqrt x)) (cbrt 3.0)))
35.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))

series505.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (/ 1.0 x) 9.0)
62.0ms
(/ y (sqrt x))
193.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (sqrt x)) (cbrt 3.0)))
223.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))

simplify1.2s

Counts
510 → 510
Iterations

Useful iterations: done (1.1s)

IterNodesCost
06958921
119008062
done50007500

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes95.0ms

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: 1 (1.0ms)

IterNodesCost
01416
11614
done1614

end0.0ms

sample1.8s

Algorithm
intervals
Results
911.0ms8551×body80valid
536.0ms8359×body80nan