Details

sample244.0ms

Algorithm

intervals

Results

32.0ms	463×	body	80	valid
14.0ms	463×	pre	80	true

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5016
10	4809
9	2125
8	1197
7	833
6	511
5	320
4	149
3	60
2	32
1	16
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

28.0ms	(* m (- 1.0 m))
30.0ms	(/ (* m (- 1.0 m)) v)
87.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series201.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* m (- 1.0 m))
72.0ms	(/ (* m (- 1.0 m)) v)
68.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1061
1	332
0	126

prune461.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ m (/ v 1.0)) (/ (* m m) v))
0.1b	(* (- (- (/ m (/ v 1.0)) (/ (* m m) v)) 1.0) m)
13.2b	(/ (* m m) v)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

74.0ms	(- (/ m (/ v 1.0)) (/ (* m m) v))
1.2s	(* (- (- (/ m (/ v 1.0)) (/ (* m m) v)) 1.0) m)
16.0ms	(/ (* m m) v)

series136.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (/ m (/ v 1.0)) (/ (* m m) v))
52.0ms	(* (- (- (/ m (/ v 1.0)) (/ (* m m) v)) 1.0) m)
20.0ms	(/ (* m m) v)

simplify1.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
2	1358
1	366
0	133

prune406.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v 1.0)) (/ (* m m) v))
0.2b	(* (- (- (/ m (/ v 1.0)) (/ (* m m) v)) 1.0) (sqrt m))
0.4b	(* (* (- (- (/ m (/ v 1.0)) (/ (* m m) v)) 1.0) (sqrt m)) (sqrt m))
13.2b	(/ (* m m) v)

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

63.0ms	(- (/ m (/ v 1.0)) (/ (* m m) v))
1.1s	(* (- (- (/ m (/ v 1.0)) (/ (* m m) v)) 1.0) (sqrt m))
1.5s	(* (* (- (- (/ m (/ v 1.0)) (/ (* m m) v)) 1.0) (sqrt m)) (sqrt m))
15.0ms	(/ (* m m) v)

series260.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (/ m (/ v 1.0)) (/ (* m m) v))
120.0ms	(* (- (- (/ m (/ v 1.0)) (/ (* m m) v)) 1.0) (sqrt m))
64.0ms	(* (* (- (- (/ m (/ v 1.0)) (/ (* m m) v)) 1.0) (sqrt m)) (sqrt m))
26.0ms	(/ (* m m) v)

simplify1.8s

Counts

103 → 103

Iterations

Iter	Nodes
done	5003
2	1941
1	497
0	177

prune536.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (cbrt m)) (* (sqrt m) (- (- (/ (* m 1.0) v) (/ (* m m) v)) 1.0)))
0.6b	(cbrt m)
0.6b	(cbrt m)
13.2b	(/ (* m m) v)

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

16×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`sub-neg` `associate--l+`
6×	`cbrt-prod`
4×	`prod-exp` `associate-*r/` `cbrt-unprod` `add-log-exp`
3×	`associate-/r` `times-frac` `associate-l*` `pow-prod-down`
2×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `flip3--` `associate-r` `-commutative` `div-inv` `flip--` `associate-/l`

Counts

4 → 79

Calls

4 calls:

278.0ms	(* (fabs (cbrt m)) (* (sqrt m) (- (- (/ (* m 1.0) v) (/ (* m m) v)) 1.0)))
1.0ms	(cbrt m)
1.0ms	(cbrt m)
11.0ms	(/ (* m m) v)

series649.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (fabs (cbrt m)) (* (sqrt m) (- (- (/ (* m 1.0) v) (/ (* m m) v)) 1.0)))
240.0ms	(cbrt m)
256.0ms	(cbrt m)
24.0ms	(/ (* m m) v)

simplify1.8s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1651
1	507
0	180

prune575.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

793.0ms	13862×	pre	80	true
729.0ms	13862×	body	80	valid