Details

Time bar (total: 8.8s)

sample31.0ms

Algorithm
intervals
Results
9.0ms275×body80valid
8.0ms289×body80nan

simplify110.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
24714
37514
49414
511514
613814
716914
821114
done21114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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))

rewrite70.0ms

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))))
3.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series164.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms
(/ y (* 3.0 (sqrt x)))
37.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify1.1s

Counts
166 → 166
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03093815
17883279
230282669
done50012648

prune380.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite231.0ms

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:
196.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
5.0ms
(/ (/ 1.0 x) 9.0)

series171.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
64.0ms
(/ y (* 3.0 (sqrt x)))
45.0ms
(* 3.0 (sqrt x))
17.0ms
(/ (/ 1.0 x) 9.0)

simplify449.0ms

Counts
339 → 339
Iterations

Useful iterations: done (431.0ms)

IterNodesCost
056610014
115279010
done50008868

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
60×add-sqr-sqrt
54×add-cube-cbrt *-un-lft-identity
41×add-exp-log
25×add-cbrt-cube
16×associate-/l*
14×prod-exp
13×associate-*r*
11×pow1 div-exp
7×cbrt-undiv div-inv
6×associate-*l* cbrt-unprod
4×expm1-log1p-u rec-exp 1-exp associate-/r* sqrt-prod log1p-expm1-u add-log-exp
3×pow-prod-down unswap-sqr
2×pow-flip frac-2neg clear-num *-commutative
1×associate-*r/ un-div-inv associate-/l/ inv-pow
Counts
4 → 160
Calls
4 calls:
6.0ms
(/ 1 (* 3.0 (sqrt x)))
17.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
4.0ms
(* 3.0 (sqrt x))
5.0ms
(/ (/ 1.0 x) 9.0)

series158.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ 1 (* 3.0 (sqrt x)))
56.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
42.0ms
(* 3.0 (sqrt x))
16.0ms
(/ (/ 1.0 x) 9.0)

simplify1.1s

Counts
172 → 172
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03141809
17661606
230951453
done50011445

prune419.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b
(/ y (sqrt x))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* (/ 1 3.0) (/ y (sqrt x)))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
336×times-frac
276×add-sqr-sqrt
238×*-un-lft-identity
231×add-cube-cbrt
136×prod-diff
131×associate--l+
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
20×div-inv
16×associate-/l*
13×associate-*l*
12×div-exp
9×associate-/r* add-log-exp unswap-sqr
8×cbrt-undiv prod-exp
7×fma-neg
6×pow1 frac-sub difference-of-squares
4×expm1-log1p-u flip3-- flip-- cbrt-unprod log1p-expm1-u
3×frac-times diff-log associate-*r/ associate-*l/
2×sub-neg rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 350
Calls
4 calls:
187.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
3.0ms
(/ y (sqrt x))
9.0ms
(/ (/ 1.0 x) 9.0)
17.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series170.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
46.0ms
(/ y (sqrt x))
15.0ms
(/ (/ 1.0 x) 9.0)
63.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify504.0ms

Counts
362 → 362
Iterations

Useful iterations: done (491.0ms)

IterNodesCost
05878947
116367923
done50007765

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes59.0ms

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: 0 (0.0ms)

IterNodesCost
01416
11716
done1716

end0.0ms

sample815.0ms

Algorithm
intervals
Results
274.0ms8552×body80valid
250.0ms8511×body80nan