Details

Time bar (total: 10.7s)

sample35.0ms

Algorithm
intervals
Results
9.0ms328×body80nan
8.0ms280×body80valid

simplify110.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:
11.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series120.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ 1.0 (* x 9.0))
39.0ms
(* 3.0 (sqrt x))

simplify2.2s

Counts
79 → 79
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0169676
1385631
21118551
34026541
done5001536

prune193.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 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
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:
12.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)
10.0ms
(* 3.0 (sqrt x))

series118.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ (/ 1.0 x) 9.0)
38.0ms
(* 3.0 (sqrt x))

simplify2.2s

Counts
128 → 128
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02681353
16061262
215421180
348361170
done50001169

prune344.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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))

series83.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 1.0 (* x 9.0))
66.0ms
(/ (/ y 3.0) (sqrt x))

simplify2.0s

Counts
143 → 143
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02771955
16161785
215521725
346821715
done50001712

prune345.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
286×times-frac
174×add-sqr-sqrt
154×*-un-lft-identity
152×add-cube-cbrt
84×sqrt-prod
82×associate-*r*
32×add-exp-log
22×add-cbrt-cube
16×div-inv associate-/l*
14×div-exp
8×cbrt-undiv
7×associate-/r* unswap-sqr
6×prod-exp
5×pow1
4×cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 251
Calls
3 calls:
43.0ms
(* y (/ (/ 1 3.0) (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))
17.0ms
(/ (/ 1 3.0) (sqrt x))

series122.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* y (/ (/ 1 3.0) (sqrt x)))
18.0ms
(/ 1.0 (* x 9.0))
39.0ms
(/ (/ 1 3.0) (sqrt x))

simplify1.2s

Counts
260 → 260
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03823447
19112774
220272563
done50012535

prune464.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11816
done1816

end0.0ms

sample921.0ms

Algorithm
intervals
Results
270.0ms8551×body80valid
250.0ms8779×body80nan