Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

345×

body

valid

simplify859.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- 3.0 x) (* 3.0 y)) (- 1.0 x))
0.3b	(/ (- 3.0 x) (* 3.0 y))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

84.0ms	(* (/ (- 3.0 x) (* 3.0 y)) (- 1.0 x))
29.0ms	(/ (- 3.0 x) (* 3.0 y))

series125.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (/ (- 3.0 x) (* 3.0 y)) (- 1.0 x))
60.0ms	(/ (- 3.0 x) (* 3.0 y))

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1898
1	381
0	136

prune315.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1 y) (/ x (* y 3.0)))
0.1b	(* (- (/ 1 y) (/ x (* y 3.0))) (- 1.0 x))
0.2b	(/ x (* y 3.0))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

20.0ms	(- (/ 1 y) (/ x (* y 3.0)))
92.0ms	(* (- (/ 1 y) (/ x (* y 3.0))) (- 1.0 x))
11.0ms	(/ x (* y 3.0))

series164.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (/ 1 y) (/ x (* y 3.0)))
86.0ms	(* (- (/ 1 y) (/ x (* y 3.0))) (- 1.0 x))
20.0ms	(/ x (* y 3.0))

simplify1.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2587
1	413
0	155

prune345.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.3b	(/ (/ (- 1.0 x) y) 3.0)
0.3b	(* (- 3.0 x) (/ (/ (- 1.0 x) y) 3.0))

rewrite155.0ms

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:

24.0ms	(/ (- 1.0 x) y)
33.0ms	(/ (/ (- 1.0 x) y) 3.0)
76.0ms	(* (- 3.0 x) (/ (/ (- 1.0 x) y) 3.0))

series199.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- 1.0 x) y)
58.0ms	(/ (/ (- 1.0 x) y) 3.0)
80.0ms	(* (- 3.0 x) (/ (/ (- 1.0 x) y) 3.0))

simplify498.0ms

Counts

231 → 231

Iterations

Iter	Nodes
done	5000
1	852
0	310

prune885.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.3b	(/ (* (- 3.0 x) (/ (- 1.0 x) y)) 3.0)
0.3b	(* (- 3.0 x) (/ (- 1.0 x) y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

14.0ms	(/ (- 1.0 x) y)
25.0ms	(/ (* (- 3.0 x) (/ (- 1.0 x) y)) 3.0)
41.0ms	(* (- 3.0 x) (/ (- 1.0 x) y))

series172.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- 1.0 x) y)
83.0ms	(/ (* (- 3.0 x) (/ (- 1.0 x) y)) 3.0)
46.0ms	(* (- 3.0 x) (/ (- 1.0 x) y))

simplify1.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	3262
1	502
0	183

prune538.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

10713×

body

valid