Details

Time bar (total: 17.4s)

sample45.0ms

Algorithm
intervals
Results
12.0ms273×body80valid
11.0ms281×body80nan

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37314
49614
513014
619314
744514
8111814
9448514
done500114

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite159.0ms

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:
127.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))
8.0ms
(/ 1.0 (* x 9.0))

series205.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
84.0ms
(/ y (* 3.0 (sqrt x)))
37.0ms
(* 3.0 (sqrt x))
20.0ms
(/ 1.0 (* x 9.0))

simplify2.5s

Counts
166 → 166
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03093815
18123282
241482695
done50002694

prune829.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite413.0ms

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:
337.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
16.0ms
(/ y (* 3.0 (sqrt x)))
19.0ms
(/ (/ 1.0 x) 9.0)
13.0ms
(* 3.0 (sqrt x))

series210.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
80.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ (/ 1.0 x) 9.0)
64.0ms
(* 3.0 (sqrt x))

simplify803.0ms

Counts
339 → 339
Iterations

Useful iterations: done (791.0ms)

IterNodesCost
056610014
116079015
done50007389

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 x) 9.0)
0.3b
(/ (/ y 3.0) (sqrt x))
0.4b
(/ -1 (* 9.0 x))
15.0b
(+ (/ -1 (* 9.0 x)) (/ (/ 1 x) 9.0))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
129×*-un-lft-identity
127×add-sqr-sqrt add-cube-cbrt
42×sqrt-prod
29×associate-/l*
23×add-exp-log
19×add-cbrt-cube
15×div-inv
11×div-exp
10×associate-/r*
8×cbrt-undiv
7×fma-def
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×associate-/l/
1×+-commutative rec-exp flip3-+ 1-exp frac-add prod-exp sum-log cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 233
Calls
4 calls:
11.0ms
(/ (/ 1 x) 9.0)
19.0ms
(/ (/ y 3.0) (sqrt x))
13.0ms
(/ -1 (* 9.0 x))
82.0ms
(+ (/ -1 (* 9.0 x)) (/ (/ 1 x) 9.0))

series145.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ 1 x) 9.0)
95.0ms
(/ (/ y 3.0) (sqrt x))
25.0ms
(/ -1 (* 9.0 x))
1.0ms
(+ (/ -1 (* 9.0 x)) (/ (/ 1 x) 9.0))

simplify2.0s

Counts
245 → 245
Iterations

Useful iterations: done (2.0s)

IterNodesCost
04293107
110682773
248082665
done50002662

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
25×add-cbrt-cube
20×add-sqr-sqrt
15×prod-exp
14×add-cube-cbrt *-un-lft-identity
13×associate-*r*
11×pow1
10×div-exp
9×times-frac
7×cbrt-unprod
6×cbrt-undiv associate-*l* associate-/l*
4×expm1-log1p-u rec-exp 1-exp sqrt-prod log1p-expm1-u add-log-exp
3×pow-prod-down div-inv unswap-sqr
2×pow-flip frac-2neg clear-num associate-/r* *-commutative
1×associate-*r/ un-div-inv inv-pow
Counts
4 → 111
Calls
4 calls:
63.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
28.0ms
(/ 1 (* 3.0 (sqrt x)))
19.0ms
(* 3.0 (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

series224.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
52.0ms
(/ 1 (* 3.0 (sqrt x)))
66.0ms
(* 3.0 (sqrt x))
29.0ms
(/ 1.0 (* x 9.0))

simplify1.3s

Counts
123 → 123
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02161132
15531001
22558842
done5000834

prune575.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes102.0ms

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
01214
11314
done1314

end0.0ms

sample2.1s

Algorithm
intervals
Results
902.0ms8541×body80valid
587.0ms8596×body80nan