Details

Time bar (total: 9.3s)

sample39.0ms

Algorithm
intervals
Results
19.0ms345×body80valid

simplify538.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.2b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
frac-times *-un-lft-identity associate-/l/
associate-*r* associate-*l* prod-exp cbrt-unprod
pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
55.0ms
(* (- 1.0 x) (- 3.0 x))
47.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series104.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 x) (- 3.0 x))
71.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify970.0ms

Counts
69 → 69

prune191.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite127.0ms

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*
cbrt-undiv div-exp associate-/r*
pow1
prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
add-log-exp
flip3-- frac-2neg div-sub clear-num flip--
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
28.0ms
(/ (- 1.0 x) y)
26.0ms
(/ (- 3.0 x) 3.0)
63.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series180.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- 1.0 x) y)
62.0ms
(/ (- 3.0 x) 3.0)
67.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify937.0ms

Counts
147 → 147

prune313.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×add-exp-log
47×*-un-lft-identity
41×times-frac
31×add-cbrt-cube
30×add-cube-cbrt
24×associate-*l*
22×prod-exp
14×associate-*r*
12×frac-times div-exp cbrt-unprod
10×pow1
associate-*r/
distribute-lft-out-- difference-of-squares
cbrt-undiv flip3-- associate-*l/ flip--
associate-/l*
pow-prod-down
rec-exp 1-exp associate-/r* un-div-inv div-inv add-log-exp unswap-sqr
*-commutative associate-/l/
frac-2neg div-sub clear-num
Counts
3 → 139
Calls
3 calls:
16.0ms
(/ (- 1.0 x) y)
71.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
31.0ms
(* (- 3.0 x) (/ 1 3.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (- 1.0 x) y)
54.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
41.0ms
(* (- 3.0 x) (/ 1 3.0))

simplify923.0ms

Counts
148 → 148

prune423.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite200.0ms

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
cbrt-undiv div-exp
associate-/r*
pow1 associate-*l*
flip3-- div-sub prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp unswap-sqr
frac-times frac-2neg associate-*l/ clear-num
associate-*r/ pow-prod-down *-commutative
Counts
3 → 222
Calls
3 calls:
26.0ms
(/ (- 3.0 x) 3.0)
37.0ms
(/ (/ (- 3.0 x) 3.0) y)
112.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series185.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- 3.0 x) 3.0)
58.0ms
(/ (/ (- 3.0 x) 3.0) y)
79.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify1.3s

Counts
231 → 231

prune604.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify561.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
867.0ms10752×body80valid