Details

Time bar (total: 10.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms344×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317411
446011
5107911
6307111
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.4b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite37.0ms

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:
18.0ms
(* (- 1.0 x) (- 3.0 x))
15.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series81.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- 1.0 x) (- 3.0 x))
54.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify967.0ms

Counts
91 → 91
Iterations

Useful iterations: done (964.0ms)

IterNodesCost
01881602
14941390
223041157
done50011139

prune187.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))))

rewrite38.0ms

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))
15.0ms
(* y (/ 3.0 (- 3.0 x)))
13.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

series130.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 3.0 (- 3.0 x))
42.0ms
(* y (/ 3.0 (- 3.0 x)))
55.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

simplify730.0ms

Counts
123 → 123
Iterations

Useful iterations: done (726.0ms)

IterNodesCost
02081511
15181437
215811277
done50001271

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
1059×times-frac
669×add-sqr-sqrt *-un-lft-identity
401×add-cube-cbrt
134×distribute-lft-out-- difference-of-squares
45×div-inv
43×associate-/r/
29×associate-/r*
27×associate-/l*
22×flip3-- flip--
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
3×pow1 expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
3 → 541
Calls
3 calls:
5.0ms
(/ 3.0 (- 3.0 x))
9.0ms
(/ (- 1.0 x) y)
27.0ms
(/ (/ (- 1.0 x) y) (/ 3.0 (- 3.0 x)))

series122.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ 3.0 (- 3.0 x))
43.0ms
(/ (- 1.0 x) y)
50.0ms
(/ (/ (- 1.0 x) y) (/ 3.0 (- 3.0 x)))

simplify958.0ms

Counts
550 → 550
Iterations

Useful iterations: done (936.0ms)

IterNodesCost
076113442
1225312611
done500012605

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
183×times-frac
125×add-sqr-sqrt *-un-lft-identity
87×add-cube-cbrt
31×div-inv
26×associate-/r*
23×distribute-rgt-out--
19×distribute-lft-out-- difference-of-squares
13×prod-diff associate-/r/
10×add-exp-log add-cbrt-cube
8×flip3-- flip--
7×associate-/l*
6×associate-/l/
5×add-log-exp
4×cbrt-undiv associate-*r/ div-exp un-div-inv frac-sub sub-div
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg fma-neg diff-log div-sub
Counts
3 → 205
Calls
3 calls:
5.0ms
(/ 3.0 (- 3.0 x))
8.0ms
(- (* 1.0 (/ 1 y)) (/ x y))
34.0ms
(/ (- (* 1.0 (/ 1 y)) (/ x y)) (/ 3.0 (- 3.0 x)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ 3.0 (- 3.0 x))
32.0ms
(- (* 1.0 (/ 1 y)) (/ x y))
67.0ms
(/ (- (* 1.0 (/ 1 y)) (/ x y)) (/ 3.0 (- 3.0 x)))

simplify2.3s

Counts
214 → 214
Iterations

Useful iterations: done (2.3s)

IterNodesCost
04024894
111354213
243203909
done50003907

prune548.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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

sample443.0ms

Algorithm
intervals
Results
268.0ms10636×body80valid