Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

341×

body

valid

simplify783.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	1616
4	483
3	175
2	65
1	21
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
3.3b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
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` `div-exp` `associate-l/` `associate-r/` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

32.0ms	(* (- 1.0 x) (- 3.0 x))
21.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series80.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 x) (- 3.0 x))
50.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.4s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	2674
1	418
0	136

prune317.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
3×	`add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 138

Calls

3 calls:

12.0ms	(/ (- 1.0 x) y)
13.0ms	(/ (- 3.0 x) 3.0)
45.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series157.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- 1.0 x) y)
53.0ms	(/ (- 3.0 x) 3.0)
51.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.6s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
2	3264
1	578
0	202

prune684.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite133.0ms

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-cbrt-cube` `add-exp-log`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`flip3--` `div-sub` `prod-exp` `cbrt-unprod` `flip--` `add-log-exp` `unswap-sqr` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*l/`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 222

Calls

3 calls:

20.0ms	(/ (- 3.0 x) 3.0)
73.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
17.0ms	(/ (/ (- 3.0 x) 3.0) y)

series201.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (- 3.0 x) 3.0)
67.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
65.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify880.0ms

Counts

231 → 231

Iterations

Iter	Nodes
done	5000
1	846
0	311

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

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))))
0.2b	(* 0.3333333333333333 (/ x y))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`associate-*r/` `add-cube-cbrt`
10×	`times-frac` `add-cbrt-cube` `add-exp-log`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-l`
7×	`pow1`
5×	`add-log-exp`
4×	`frac-sub` `sub-div`
3×	`sub-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 84

Calls

3 calls:

17.0ms	(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
89.0ms	(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
25.0ms	(* 0.3333333333333333 (/ x y))

series157.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
65.0ms	(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
23.0ms	(* 0.3333333333333333 (/ x y))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2488
1	453
0	166

prune430.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample895.0ms

Algorithm

intervals

Results

532.0ms

10749×

body

valid