Details

Time bar (total: 11.6s)

sample32.0ms

Algorithm
intervals
Results
12.0ms274×body80valid
7.0ms234×body80nan

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
24714
37514
49214
510914
612414
715514
816614
done16614

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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))

rewrite72.0ms

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:
54.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
5.0ms
(* 3.0 (sqrt x))

series159.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
59.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ 1.0 (* x 9.0))
41.0ms
(* 3.0 (sqrt x))

simplify974.0ms

Counts
166 → 166
Iterations

Useful iterations: done (969.0ms)

IterNodesCost
03093815
17623277
224142669
done50002648

prune423.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite167.0ms

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:
94.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
10.0ms
(/ (/ y 3.0) (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series122.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
61.0ms
(/ (/ y 3.0) (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify721.0ms

Counts
609 → 609
Iterations

Useful iterations: done (667.0ms)

IterNodesCost
089933685
1228830822
done500030737

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ 0.1111111111111111 x))
0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
1082×add-sqr-sqrt
1077×times-frac
819×*-un-lft-identity
646×add-cube-cbrt
570×prod-diff
278×sqrt-prod
173×difference-of-squares
87×distribute-lft-out--
56×div-inv
41×associate--l+
13×associate-/l*
10×add-log-exp
9×fma-neg
8×add-exp-log add-cbrt-cube
6×associate-/r*
4×diff-log
3×pow1 cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp flip-- log1p-expm1-u
2×frac-sub
1×associate--l- frac-2neg clear-num associate-/l/
Counts
3 → 737
Calls
3 calls:
10.0ms
(- 1.0 (/ 0.1111111111111111 x))
116.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
10.0ms
(/ (/ y 3.0) (sqrt x))

series136.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- 1.0 (/ 0.1111111111111111 x))
49.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
56.0ms
(/ (/ y 3.0) (sqrt x))

simplify815.0ms

Counts
746 → 746
Iterations

Useful iterations: done (754.0ms)

IterNodesCost
0103140332
1255536660
done500136642

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite241.0ms

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:
201.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
4.0ms
(* 3.0 (sqrt x))

series159.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
55.0ms
(/ y (* 3.0 (sqrt x)))
20.0ms
(/ (/ 1.0 x) 9.0)
37.0ms
(* 3.0 (sqrt x))

simplify1.7s

Counts
339 → 339
Iterations

Useful iterations: 2 (974.0ms)

IterNodesCost
056610014
114839008
247807186
done50007186

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
done1112

end0.0ms

sample831.0ms

Algorithm
intervals
Results
287.0ms8519×body80valid
258.0ms8535×body80nan