Details

Time bar (total: 8.1s)

sample32.0ms

Algorithm
intervals
Results
15.0ms317×body80valid

simplify611.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.2b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in 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 → 63
Calls
2 calls:
41.0ms
(* (- 1.0 x) (- 3.0 x))
50.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series88.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 x) (- 3.0 x))
54.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify938.0ms

Counts
69 → 69

prune164.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

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×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 → 138
Calls
3 calls:
16.0ms
(/ (- 3.0 x) 3.0)
16.0ms
(/ (- 1.0 x) y)
92.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series131.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (- 3.0 x) 3.0)
36.0ms
(/ (- 1.0 x) y)
50.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify894.0ms

Counts
147 → 147

prune377.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
57×*-un-lft-identity
51×times-frac
27×add-cube-cbrt
19×associate-*r*
15×distribute-lft-out-- difference-of-squares
12×associate-*l*
10×add-exp-log add-cbrt-cube
6×div-inv
5×pow1 associate-/l* add-log-exp
4×frac-times flip3-- associate-*l/ flip--
3×associate-/r* frac-sub sub-div
2×cbrt-undiv distribute-rgt-out-- div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 116
Calls
3 calls:
16.0ms
(/ (- 3.0 x) 3.0)
34.0ms
(- (/ 1.0 y) (/ x y))
192.0ms
(* (- (/ 1.0 y) (/ x y)) (/ (- 3.0 x) 3.0))

series159.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- 3.0 x) 3.0)
30.0ms
(- (/ 1.0 y) (/ x y))
72.0ms
(* (- (/ 1.0 y) (/ x y)) (/ (- 3.0 x) 3.0))

simplify778.0ms

Counts
125 → 125

prune268.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.2b
(/ (* y 3.0) (- 3.0 x))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
68×add-sqr-sqrt *-un-lft-identity
28×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
16×add-exp-log associate-/r* add-cbrt-cube
15×associate-/r/
8×flip3-- flip-- div-inv
7×cbrt-undiv div-exp
6×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×div-sub
Counts
2 → 118
Calls
2 calls:
41.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
33.0ms
(/ (* y 3.0) (- 3.0 x))

series116.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
57.0ms
(/ (* y 3.0) (- 3.0 x))

simplify939.0ms

Counts
124 → 124

prune362.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify513.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
678.0ms10670×body80valid