Details

Time bar (total: 15.5s)

sample35.0ms

Algorithm
intervals
Results
18.0ms349×body80valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317911
450811
5124011
6339711
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.3b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite114.0ms

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:
54.0ms
(* (- 1.0 x) (- 3.0 x))
55.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series120.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (- 1.0 x) (- 3.0 x))
80.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.4s

Counts
91 → 91
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01881602
14911390
222331157
done50021133

prune249.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite162.0ms

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:
18.0ms
(/ (- 1.0 x) y)
35.0ms
(/ (- 3.0 x) 3.0)
100.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series162.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- 1.0 x) y)
63.0ms
(/ (- 3.0 x) 3.0)
61.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.5s

Counts
153 → 153
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02081863
15581794
218111623
done50001621

prune505.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.0b
(/ (- 3.0 x) 3.0)
0.1b
(* (* 1 (/ (- 1.0 x) y)) (/ (- 3.0 x) 3.0))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt *-un-lft-identity
45×times-frac
40×add-exp-log
32×add-cube-cbrt
28×add-cbrt-cube
19×associate-*r*
18×prod-exp
11×div-exp distribute-lft-out-- difference-of-squares
10×cbrt-unprod associate-/l*
8×pow1
7×cbrt-undiv
6×associate-/r*
4×1-exp associate-/l/
3×expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u div-inv add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*l* associate-*l/ *-commutative
Counts
3 → 131
Calls
3 calls:
18.0ms
(/ (- 1.0 x) y)
30.0ms
(/ (- 3.0 x) 3.0)
66.0ms
(* (* 1 (/ (- 1.0 x) y)) (/ (- 3.0 x) 3.0))

series195.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (- 1.0 x) y)
62.0ms
(/ (- 3.0 x) 3.0)
71.0ms
(* (* 1 (/ (- 1.0 x) y)) (/ (- 3.0 x) 3.0))

simplify1.7s

Counts
140 → 140
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02141827
15001619
215561402
done50001400

prune433.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

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))

rewrite202.0ms

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:
20.0ms
(/ (- 3.0 x) 3.0)
44.0ms
(/ (/ (- 3.0 x) 3.0) y)
125.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series154.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- 3.0 x) 3.0)
50.0ms
(/ (/ (- 3.0 x) 3.0) y)
57.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify1.8s

Counts
237 → 237
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03173425
17833232
229433039
done50003037

prune706.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01113
11511
done1511

end0.0ms

sample1.2s

Algorithm
intervals
Results
756.0ms10716×body80valid