Details

Time bar (total: 16.5s)

sample37.0ms

Algorithm
intervals
Results
12.0ms273×body80valid
9.0ms310×body80nan

simplify99.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
24714
37514
49214
510914
612414
715514
816614
done16614

prune3.0ms

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

rewrite75.0ms

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:
57.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
3.0ms
(/ 1.0 (* x 9.0))
4.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))

series202.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
20.0ms
(/ 1.0 (* x 9.0))
78.0ms
(/ y (* 3.0 (sqrt x)))
45.0ms
(* 3.0 (sqrt x))

simplify1.3s

Counts
166 → 166
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03093815
17673279
224312669
done50002648

prune440.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
819×times-frac
705×add-sqr-sqrt
694×*-un-lft-identity
523×add-cube-cbrt
431×prod-diff
239×sqrt-prod
88×difference-of-squares
86×distribute-lft-out--
47×div-inv
23×associate--l+
16×associate-/l*
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×cbrt-undiv fma-neg div-exp
3×pow1 expm1-log1p-u diff-log log1p-expm1-u
2×sub-neg flip3-- frac-2neg clear-num frac-sub flip--
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
3 → 600
Calls
3 calls:
100.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
7.0ms
(/ (/ y 3.0) (sqrt x))

series154.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
28.0ms
(/ 1.0 (* x 9.0))
70.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.0s

Counts
609 → 609
Iterations

Useful iterations: done (980.0ms)

IterNodesCost
089933685
1232331240
done500030793

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite373.0ms

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:
259.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
7.0ms
(/ (/ y 3.0) (sqrt x))

series162.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
21.0ms
(/ (/ 1.0 x) 9.0)
80.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.5s

Counts
932 → 932
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0127752166
1329448529
done500047934

prune3.0s

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

rewrite370.0ms

Algorithm
rewrite-expression-head
Rules
1487×times-frac
1441×add-sqr-sqrt
936×*-un-lft-identity
789×add-cube-cbrt
619×prod-diff
238×sqrt-prod
217×difference-of-squares
131×associate--l+
74×distribute-lft-out--
51×div-inv
38×associate-/l*
16×add-exp-log add-cbrt-cube
12×associate-/r*
9×add-log-exp
7×cbrt-undiv fma-neg 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 → 873
Calls
4 calls:
255.0ms
(- (- 1.0 (/ (/ 1.0 9.0) x)) (/ (/ y (sqrt x)) 3.0))
3.0ms
(/ y (sqrt x))
9.0ms
(/ (/ y (sqrt x)) 3.0)
6.0ms
(/ (/ 1.0 9.0) x)

series199.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (- 1.0 (/ (/ 1.0 9.0) x)) (/ (/ y (sqrt x)) 3.0))
50.0ms
(/ y (sqrt x))
73.0ms
(/ (/ y (sqrt x)) 3.0)
20.0ms
(/ (/ 1.0 9.0) x)

simplify1.4s

Counts
885 → 885
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0121246517
1313143273
done500042890

prune3.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01416
11714
done1714

end0.0ms

sample827.0ms

Algorithm
intervals
Results
292.0ms8596×body80valid
256.0ms8584×body80nan