Details

sample256.0ms

Algorithm

intervals

Results

35.0ms	452×	body	80	valid
18.0ms	452×	pre	80	true

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	67	11
4	171	11
5	418	11
6	1361	11
7	4731	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

21.0ms	(/ (* m (- 1.0 m)) v)
96.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series135.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (* m (- 1.0 m)) v)
88.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify942.0ms

Counts

51 → 51

Iterations

Useful iterations: done (939.0ms)

Iter	Nodes	Cost
0	102	665
1	278	635
2	1485	567
done	5000	563

prune191.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.3b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
62×	`add-sqr-sqrt`
61×	`sqrt-prod`
54×	`*-un-lft-identity`
52×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
11×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp` `associate-l`
5×	`pow1`
3×	`associate-r` `prod-exp` `cbrt-unprod` `associate-/l/` `add-log-exp` `difference-of-squares`
2×	`flip3--` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `flip--`
1×	`pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 146

Calls

3 calls:

330.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
35.0ms	(/ (* m (- 1.0 m)) (sqrt v))
43.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series264.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
102.0ms	(/ (* m (- 1.0 m)) (sqrt v))
73.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify1.9s

Counts

155 → 155

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	244	2793
1	660	2365
2	3215	2182
done	5001	2142

prune402.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.2b	(* m (/ (- 1.0 m) v))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

27.0ms	(/ (- 1.0 m) v)
70.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
54.0ms	(* m (/ (- 1.0 m) v))

series119.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- 1.0 m) v)
43.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
41.0ms	(* m (/ (- 1.0 m) v))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	149	1202
1	397	1145
2	1862	1041
done	5000	1035

prune344.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0))
0.5b	(* (* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0)) (sqrt m))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

18.0ms	(/ (* m (- 1.0 m)) v)
96.0ms	(* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0))
94.0ms	(* (* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0)) (sqrt m))

series251.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ (* m (- 1.0 m)) v)
94.0ms	(* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0))
78.0ms	(* (* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0)) (sqrt m))

simplify1.7s

Counts

85 → 85

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	153	1344
1	435	1279
2	2319	1075
done	5000	1055

prune215.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13779×	body	80	valid
364.0ms	13779×	pre	80	true