Details

Time bar (total: 12.1s)

sample30.0ms

Algorithm
intervals
Results
14.0ms335×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317511
447511
5107311
6284811
done500211

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
7.7b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite80.0ms

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:
47.0ms
(* (- 1.0 x) (- 3.0 x))
30.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series111.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (- 1.0 x) (- 3.0 x))
71.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: 2 (311.0ms)

IterNodesCost
0136998
1406961
22048821
done5001821

prune209.0ms

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

rewrite98.0ms

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:
17.0ms
(/ (- 3.0 x) 3.0)
21.0ms
(/ (- 1.0 x) y)
54.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series154.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(/ (- 3.0 x) 3.0)
36.0ms
(/ (- 1.0 x) y)
53.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.2s

Counts
147 → 147
Iterations

Useful iterations: 2 (355.0ms)

IterNodesCost
02021815
15461751
217731580
done50001580

prune344.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

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))

rewrite134.0ms

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×flip3-- div-sub prod-exp flip-- cbrt-unprod 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 → 222
Calls
3 calls:
16.0ms
(/ (- 3.0 x) 3.0)
24.0ms
(/ (/ (- 3.0 x) 3.0) y)
78.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series150.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- 3.0 x) 3.0)
46.0ms
(/ (/ (- 3.0 x) 3.0) y)
51.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify1.9s

Counts
231 → 231
Iterations

Useful iterations: 2 (924.0ms)

IterNodesCost
03113373
17703185
229062992
done50002992

prune754.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×flip3-- associate-*r* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 84
Calls
2 calls:
16.0ms
(/ (- 1.0 x) y)
68.0ms
(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- 1.0 x) y)
85.0ms
(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

simplify1.2s

Counts
90 → 90
Iterations

Useful iterations: 2 (239.0ms)

IterNodesCost
01441181
13821157
212231051
done50011051

prune220.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11011
done1011

end0.0ms

sample962.0ms

Algorithm
intervals
Results
611.0ms10659×body80valid