Details

sample277.0ms

Algorithm

intervals

Results

11.0ms	447×	body	80	valid
6.0ms	447×	pre	80	true

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	99	13
4	269	13
5	661	13
6	1787	13
7	3976	13
done	5001	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

10.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series131.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify511.0ms

Counts

92 → 92

Iterations

Useful iterations: done (508.0ms)

Iter	Nodes	Cost
0	147	1290
1	387	1245
2	1434	1143
done	5000	1141

prune177.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

2.0ms	(+ (* m 1.0) (* (- m) m))
8.0ms	(/ (+ (* m 1.0) (* (- m) m)) v)
77.0ms	(* (- (/ (+ (* m 1.0) (* (- m) m)) v) 1.0) (- 1.0 m))

series139.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* m 1.0) (* (- m) m))
45.0ms	(/ (+ (* m 1.0) (* (- m) m)) v)
37.0ms	(* (- (/ (+ (* m 1.0) (* (- m) m)) v) 1.0) (- 1.0 m))

simplify538.0ms

Counts

88 → 88

Iterations

Useful iterations: done (535.0ms)

Iter	Nodes	Cost
0	157	1720
1	405	1562
2	1492	1245
done	5000	1224

prune190.0ms

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	(- (/ (* m 1.0) v) (/ (pow m 2) v))
0.1b	(* (- (- (/ (* m 1.0) v) (/ (pow m 2) v)) 1.0) (- 1.0 m))
13.9b	(/ (pow m 2) v)

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
34×	`times-frac`
33×	`*-un-lft-identity`
24×	`add-cube-cbrt`
13×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*` `distribute-lft-out--` `unpow2`
7×	`flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`
6×	`associate-l`
5×	`pow1` `associate-r` `add-log-exp` `sqr-pow`
4×	`frac-times`
3×	`sub-neg` `div-exp` `associate-/r*` `div-inv`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`cbrt-undiv` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

3 → 108

Calls

3 calls:

18.0ms	(- (/ (* m 1.0) v) (/ (pow m 2) v))
460.0ms	(* (- (- (/ (* m 1.0) v) (/ (pow m 2) v)) 1.0) (- 1.0 m))
4.0ms	(/ (pow m 2) v)

series90.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (/ (* m 1.0) v) (/ (pow m 2) v))
38.0ms	(* (- (- (/ (* m 1.0) v) (/ (pow m 2) v)) 1.0) (- 1.0 m))
19.0ms	(/ (pow m 2) v)

simplify605.0ms

Counts

117 → 117

Iterations

Useful iterations: done (601.0ms)

Iter	Nodes	Cost
0	213	2019
1	470	1915
2	1631	1760
done	5001	1736

prune259.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

11.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
70.0ms	(* (* (+ (sqrt 1.0) (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m)))
48.0ms	(* (+ (sqrt 1.0) (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))

series354.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
133.0ms	(* (* (+ (sqrt 1.0) (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m)))
136.0ms	(* (+ (sqrt 1.0) (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify1.1s

Counts

149 → 149

Iterations

Useful iterations: 2 (330.0ms)

Iter	Nodes	Cost
0	264	3675
1	836	3297
2	3581	2904
done	5000	2904

prune373.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	17	16
done	17	16

end0.0ms

sample721.0ms

Algorithm

intervals

Results

323.0ms	13788×	body	80	valid
176.0ms	13788×	pre	80	true