Details

Time bar (total: 9.6s)

sample21.0ms

Algorithm
intervals
Results
11.0ms351×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317411
446011
5107911
6308611
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
7.9b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite43.0ms

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

series78.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- 1.0 x) (- 3.0 x))
47.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01881602
14981390
223081157
done50011139

prune154.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite52.0ms

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:
8.0ms
(/ (- 1.0 x) y)
8.0ms
(/ (- 3.0 x) 3.0)
30.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series125.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- 1.0 x) y)
38.0ms
(/ (- 3.0 x) 3.0)
48.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.0s

Counts
153 → 153
Iterations

Useful iterations: 2 (401.0ms)

IterNodesCost
02081863
15701794
218921623
done50011623

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))

rewrite75.0ms

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:
9.0ms
(/ (- 3.0 x) 3.0)
12.0ms
(/ (/ (- 3.0 x) 3.0) y)
39.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series128.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- 3.0 x) 3.0)
45.0ms
(/ (/ (- 3.0 x) 3.0) y)
45.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify1.8s

Counts
237 → 237
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
03173425
18103232
230983039
done50003039

prune479.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
43×*-un-lft-identity
36×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1 associate-/r/
4×prod-exp cbrt-unprod
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l/ unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 114
Calls
3 calls:
5.0ms
(/ 3.0 (- 3.0 x))
19.0ms
(* y (/ 3.0 (- 3.0 x)))
13.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

series113.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ 3.0 (- 3.0 x))
43.0ms
(* y (/ 3.0 (- 3.0 x)))
44.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

simplify922.0ms

Counts
123 → 123
Iterations

Useful iterations: done (919.0ms)

IterNodesCost
02081511
15181437
215851277
done50021271

prune228.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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
0911
11011
done1011

end0.0ms

sample428.0ms

Algorithm
intervals
Results
261.0ms10715×body80valid