Details

Time bar (total: 31.4s)

sample61.0ms

Algorithm
intervals
Results
19.0ms252×body80nan
16.0ms270×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 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))

rewrite402.0ms

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:
333.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
10.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ (/ 1.0 x) 9.0)
16.0ms
(* 3.0 (sqrt x))

series242.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
80.0ms
(/ y (* 3.0 (sqrt x)))
34.0ms
(/ (/ 1.0 x) 9.0)
68.0ms
(* 3.0 (sqrt x))

simplify793.0ms

Counts
339 → 339
Iterations

Useful iterations: done (776.0ms)

IterNodesCost
056610014
116079015
done50007389

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
294×times-frac
169×*-un-lft-identity
167×add-sqr-sqrt add-cube-cbrt
42×sqrt-prod
39×associate-/l*
27×add-exp-log
19×add-cbrt-cube div-inv
15×div-exp
12×associate-/r*
9×cbrt-undiv
7×fma-def
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num associate-/l/
2×rec-exp 1-exp
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
4 → 284
Calls
4 calls:
24.0ms
(/ (/ 1 x) 9.0)
25.0ms
(/ (/ 1 x) 9.0)
26.0ms
(/ (/ y 3.0) (sqrt x))
59.0ms
(+ (/ -1 (* 9.0 x)) (/ (/ 1 x) 9.0))

series149.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (/ 1 x) 9.0)
22.0ms
(/ (/ 1 x) 9.0)
103.0ms
(/ (/ y 3.0) (sqrt x))
2.0ms
(+ (/ -1 (* 9.0 x)) (/ (/ 1 x) 9.0))

simplify2.0s

Counts
296 → 296
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03933797
19893351
244013210
done50003202

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
71×add-sqr-sqrt
67×add-cube-cbrt *-un-lft-identity
37×add-exp-log
25×add-cbrt-cube
17×div-exp associate-/l*
13×associate-/r*
11×div-inv
10×cbrt-undiv
7×pow1
6×associate-*r*
5×prod-exp
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp associate-*l* clear-num cbrt-unprod
2×unswap-sqr
1×pow-flip pow-prod-down associate-/r/ *-commutative associate-/l/ inv-pow
Counts
4 → 177
Calls
4 calls:
13.0ms
(/ (* 3.0 (sqrt x)) y)
19.0ms
(/ (/ 1.0 x) 9.0)
17.0ms
(* 3.0 (sqrt x))
27.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

series252.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ (* 3.0 (sqrt x)) y)
20.0ms
(/ (/ 1.0 x) 9.0)
65.0ms
(* 3.0 (sqrt x))
79.0ms
(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify2.0s

Counts
189 → 189
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03612187
19161958
241021838
done50001833

prune646.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ 1 3.0) (/ (sqrt x) y)))
0.2b
(/ (sqrt x) y)
0.3b
(/ (/ 1.0 x) 9.0)
0.4b
(/ (/ 1 3.0) (/ (sqrt x) y))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
6959×times-frac
5778×add-sqr-sqrt
3704×*-un-lft-identity
3112×add-cube-cbrt
2166×prod-diff
960×sqrt-prod
886×difference-of-squares
308×div-inv
295×distribute-lft-out--
131×associate--l+
33×add-exp-log
32×associate-/l*
28×associate-/r*
23×add-cbrt-cube
20×div-exp
12×cbrt-undiv
9×add-log-exp
8×associate-/r/
7×fma-neg
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg diff-log clear-num
2×sub-neg rec-exp flip3-- 1-exp frac-sub flip-- associate-/l/
1×associate--l-
Counts
4 → 2665
Calls
4 calls:
697.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ 1 3.0) (/ (sqrt x) y)))
7.0ms
(/ (sqrt x) y)
18.0ms
(/ (/ 1.0 x) 9.0)
32.0ms
(/ (/ 1 3.0) (/ (sqrt x) y))

series213.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ 1 3.0) (/ (sqrt x) y)))
69.0ms
(/ (sqrt x) y)
18.0ms
(/ (/ 1.0 x) 9.0)
70.0ms
(/ (/ 1 3.0) (/ (sqrt x) y))

simplify1.5s

Counts
2677 → 2677
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03245205015
done5000204994

prune14.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11616
done1616

end0.0ms

sample1.7s

Algorithm
intervals
Results
716.0ms8510×body80valid
478.0ms8305×body80nan