Details

sample162.0ms

Algorithm

intervals

Results

33.0ms	442×	body	80	valid
19.0ms	442×	pre	80	true

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
5	1806
4	455
3	122
2	41
1	19
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.1b	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
12×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-l`
9×	`add-cube-cbrt`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*r/` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 90

Calls

3 calls:

31.0ms	(* m (- 1 m))
21.0ms	(/ (* m (- 1 m)) v)
71.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series157.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* m (- 1 m))
39.0ms	(/ (* m (- 1 m)) v)
60.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1733
1	424
0	150

prune385.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1 m) m)
0.0b	(/ (* (- 1 m) m) v)
0.1b	(* (- (/ (* (- 1 m) m) v) 1) (- 1 m))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
9×	`associate-r` `add-cube-cbrt`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*l/` `difference-of-squares`
4×	`frac-times`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out--` `add-log-exp`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 86

Calls

3 calls:

19.0ms	(* (- 1 m) m)
28.0ms	(/ (* (- 1 m) m) v)
114.0ms	(* (- (/ (* (- 1 m) m) v) 1) (- 1 m))

series159.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (- 1 m) m)
50.0ms	(/ (* (- 1 m) m) v)
47.0ms	(* (- (/ (* (- 1 m) m) v) 1) (- 1 m))

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1641
1	422
0	150

prune406.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ m v) (/ (* m m) v))
0.1b	(* (- (- (/ m v) (/ (* m m) v)) 1) (- 1 m))
10.6b	(/ (* m m) v)

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
14×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
8×	`associate-l` `difference-of-squares`
7×	`flip3--` `flip--`
6×	`associate-r`
5×	`pow1` `distribute-rgt-out--` `distribute-lft-out--` `add-log-exp`
4×	`frac-times`
3×	`associate-/r*` `sub-neg` `insert-posit16` `div-inv`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `diff-log` `difference-of-sqr-1` `pow-prod-down` `-commutative` `frac-sub` `associate-/l` `sub-div` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

16.0ms	(- (/ m v) (/ (* m m) v))
280.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) (- 1 m))
18.0ms	(/ (* m m) v)

series102.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (/ m v) (/ (* m m) v))
32.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) (- 1 m))
27.0ms	(/ (* m m) v)

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1857
1	481
0	168

prune480.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m v) (/ (* m m) v))
0.1b	(* (- (- (/ m v) (/ (* m m) v)) 1) (+ 1 (sqrt m)))
0.1b	(* (* (- (- (/ m v) (/ (* m m) v)) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
10.6b	(/ (* m m) v)

rewrite678.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
32×	`frac-times` `*-un-lft-identity`
22×	`flip3--` `flip--`
16×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
14×	`times-frac` `associate-r`
12×	`flip3-+` `flip-+`
11×	`pow1` `add-cube-cbrt`
10×	`associate-*r/` `difference-of-squares`
9×	`associate-l`
6×	`distribute-lft-out--` `add-log-exp`
5×	`distribute-rgt-out--` `prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `sqrt-prod` `insert-posit16`
3×	`distribute-rgt-in` `associate-/r*` `sub-neg` `distribute-lft-in` `div-inv`
2×	`cbrt-undiv` `div-exp` `*-commutative` `distribute-lft-out`
1×	`clear-num` `frac-2neg` `diff-log` `difference-of-sqr-1` `frac-sub` `associate-/l*` `sub-div` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

24.0ms	(- (/ m v) (/ (* m m) v))
310.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) (+ 1 (sqrt m)))
329.0ms	(* (* (- (- (/ m v) (/ (* m m) v)) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
10.0ms	(/ (* m m) v)

series294.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (/ m v) (/ (* m m) v))
85.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) (+ 1 (sqrt m)))
108.0ms	(* (* (- (- (/ m v) (/ (* m m) v)) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
38.0ms	(/ (* m m) v)

simplify2.7s

Counts

150 → 150

Iterations

Iter	Nodes
done	5002
2	4316
1	862
0	248

prune757.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	13850×	body	80	valid
444.0ms	13850×	pre	80	true