Details

Time bar (total: 3.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms358×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21795
35125
413575
550015
done50015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.6b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 85
Calls
2 calls:
41.0ms
(* (- 1.0 x) (- 3.0 x))
32.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series79.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- 1.0 x) (- 3.0 x))
53.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify95.0ms

Counts
91 → 91
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0497758
12837559
25002559
done5002559

prune173.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.0b
(/ (- 3.0 x) 3.0)
0.2b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 144
Calls
3 calls:
17.0ms
(/ (- 1.0 x) y)
20.0ms
(/ (- 3.0 x) 3.0)
51.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series138.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- 1.0 x) y)
44.0ms
(/ (- 3.0 x) 3.0)
56.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify83.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0571920
12402835
25001834
done5001834

prune335.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.1b
(/ (/ (- 3.0 x) 3.0) y)
0.1b
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1 associate-*l*
3×expm1-log1p-u flip3-- div-sub prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 228
Calls
3 calls:
17.0ms
(/ (- 3.0 x) 3.0)
24.0ms
(/ (/ (- 3.0 x) 3.0) y)
66.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series145.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (- 3.0 x) 3.0)
44.0ms
(/ (/ (- 3.0 x) 3.0) y)
57.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify130.0ms

Counts
237 → 237
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
08101746
140351652
250021649
done50021649

prune555.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
117×add-sqr-sqrt
108×*-un-lft-identity
90×add-cube-cbrt
87×times-frac
78×prod-diff
41×distribute-rgt-in distribute-lft-in
19×associate-*l*
11×difference-of-squares
9×add-exp-log add-cbrt-cube
8×associate-*r* div-inv distribute-lft-out--
5×associate-/l*
4×pow1
3×flip3-- associate-/r* flip--
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 171
Calls
2 calls:
17.0ms
(/ (- 1.0 x) y)
82.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- 1.0 x) y)
65.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

simplify119.0ms

Counts
177 → 177
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
010152833
148272116
250012114
done50012114

prune238.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105
done105

end0.0ms

sample470.0ms

Algorithm
intervals
Results
250.0ms10733×body80valid