Details

Time bar (total: 8.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms333×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317011
442711
593211
6264811
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.5b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite34.0ms

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:
21.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series66.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- 1.0 x) (- 3.0 x))
44.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify774.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
0136998
1413961
22032821
done5000821

prune135.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite48.0ms

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:
7.0ms
(/ (- 1.0 x) y)
7.0ms
(/ (- 3.0 x) 3.0)
29.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series118.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- 1.0 x) y)
38.0ms
(/ (- 3.0 x) 3.0)
47.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify864.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (385.0ms)

IterNodesCost
02021815
15581751
218251580
done50001580

prune276.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

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:
7.0ms
(/ (- 3.0 x) 3.0)
37.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
15.0ms
(/ (/ (- 3.0 x) 3.0) y)

series128.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (- 3.0 x) 3.0)
44.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
42.0ms
(/ (/ (- 3.0 x) 3.0) y)

simplify1.5s

Counts
231 → 231
Iterations

Useful iterations: 2 (904.0ms)

IterNodesCost
03113373
17973185
230462992
done50002992

prune458.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 3.0 x))
0.1b
(/ (- 1.0 x) (* 3.0 (/ y (- 3.0 x))))
0.2b
(* 3.0 (/ y (- 3.0 x)))

rewrite35.0ms

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×flip3-- associate-*l* flip-- 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 → 108
Calls
3 calls:
5.0ms
(/ y (- 3.0 x))
11.0ms
(/ (- 1.0 x) (* 3.0 (/ y (- 3.0 x))))
15.0ms
(* 3.0 (/ y (- 3.0 x)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (- 3.0 x))
45.0ms
(/ (- 1.0 x) (* 3.0 (/ y (- 3.0 x))))
41.0ms
(* 3.0 (/ y (- 3.0 x)))

simplify790.0ms

Counts
117 → 117
Iterations

Useful iterations: done (787.0ms)

IterNodesCost
02011461
15011401
215441249
done50011233

prune202.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes83.0ms

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

sample424.0ms

Algorithm
intervals
Results
259.0ms10648×body80valid