Details

Time bar (total: 12.5s)

sample45.0ms

Algorithm
intervals
Results
20.0ms333×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317911
451811
5178311
done500111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.3b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite127.0ms

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:
58.0ms
(* (- 1.0 x) (- 3.0 x))
64.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series105.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- 1.0 x) (- 3.0 x))
66.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify2.1s

Counts
91 → 91
Iterations

Useful iterations: 2 (637.0ms)

IterNodesCost
01881602
15441396
238941165
done50011165

prune268.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
34×times-frac
31×*-un-lft-identity
19×add-cube-cbrt associate-*r* associate-*l*
13×add-exp-log add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 64
Calls
1 calls:
61.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify944.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
01401031
1418996
21749878
done5002878

prune259.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
159×add-sqr-sqrt
150×*-un-lft-identity
106×add-cube-cbrt
61×associate-*r*
22×distribute-lft-out-- difference-of-squares
19×associate-/l*
16×add-exp-log add-cbrt-cube
9×div-inv
6×cbrt-undiv div-exp
5×associate-*l*
4×pow1
3×prod-exp associate-/r* cbrt-unprod unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-sub associate-*l/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 188
Calls
2 calls:
25.0ms
(/ (/ (- 3.0 x) 3.0) y)
100.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series96.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (/ (- 3.0 x) 3.0) y)
50.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify448.0ms

Counts
194 → 194
Iterations

Useful iterations: done (438.0ms)

IterNodesCost
02993015
18182852
done50002706

prune795.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
0.1b
(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
0.3b
(* 0.3333333333333333 (/ x y))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
46×times-frac
43×*-un-lft-identity
41×add-cube-cbrt
39×prod-diff
16×associate-*r*
15×distribute-rgt-in distribute-lft-in
13×fma-neg associate-*r/
10×add-exp-log add-cbrt-cube
9×flip3-- flip--
8×frac-times associate-*l*
7×pow1
5×div-inv add-log-exp
4×frac-sub sub-div
3×expm1-log1p-u sub-neg prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
2×pow-prod-down associate-*l/ *-commutative
1×cbrt-undiv diff-log div-exp distribute-lft-out-- difference-of-squares
Counts
3 → 142
Calls
3 calls:
28.0ms
(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
112.0ms
(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
16.0ms
(* 0.3333333333333333 (/ x y))

series148.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
58.0ms
(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
26.0ms
(* 0.3333333333333333 (/ x y))

simplify2.5s

Counts
151 → 151
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02352820
16032737
232362540
done50022462

prune760.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes651.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
11011
done1011

end0.0ms

sample1.1s

Algorithm
intervals
Results
661.0ms10576×body80valid