Details

Time bar (total: 14.0s)

sample47.0ms

Algorithm
intervals
Results
13.0ms273×body80valid
12.0ms294×body80nan

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×times-frac associate-*r* associate-/l*
5×pow1
4×cbrt-undiv div-exp sqrt-prod
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×pow-prod-down *-commutative
Counts
3 → 70
Calls
3 calls:
16.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series169.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ y (* 3.0 (sqrt x)))
29.0ms
(/ 1.0 (* x 9.0))
71.0ms
(* 3.0 (sqrt x))

simplify1.3s

Counts
79 → 79
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0169676
1404631
21752555
done5001551

prune260.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
81×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×sqrt-prod
16×associate-/l*
12×add-exp-log add-cbrt-cube
9×div-inv
7×associate-/r*
5×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×prod-exp cbrt-unprod associate-/l/
Counts
2 → 137
Calls
2 calls:
8.0ms
(/ 1.0 (* x 9.0))
13.0ms
(/ (/ y 3.0) (sqrt x))

series86.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ 1.0 (* x 9.0))
68.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.4s

Counts
143 → 143
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02771955
16611785
230231729
done50001726

prune597.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
16×associate-/l*
15×add-exp-log add-cbrt-cube
6×associate-*r* div-inv
5×pow1 cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 119
Calls
3 calls:
9.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))
18.0ms
(/ (/ 1.0 x) 9.0)

series161.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ y (* 3.0 (sqrt x)))
46.0ms
(* 3.0 (sqrt x))
29.0ms
(/ (/ 1.0 x) 9.0)

simplify1.5s

Counts
128 → 128
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02681353
16591262
228361192
done50021182

prune585.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

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

rewrite109.0ms

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:
57.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
14.0ms
(/ 1 (* 3.0 (sqrt x)))
20.0ms
(* 3.0 (sqrt x))
12.0ms
(/ (/ 1.0 x) 9.0)

series208.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
45.0ms
(/ 1 (* 3.0 (sqrt x)))
56.0ms
(* 3.0 (sqrt x))
24.0ms
(/ (/ 1.0 x) 9.0)

simplify2.6s

Counts
172 → 172
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03141809
18101632
237091473
done50001469

prune689.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11816
done1816

end0.0ms

sample1.8s

Algorithm
intervals
Results
727.0ms8522×body80valid
546.0ms8499×body80nan