Details

sample118.0ms

Algorithm

intervals

Results

26.0ms	443×	body	80	valid
13.0ms	443×	pre	80	true

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	72	11
4	189	11
5	475	11
6	1650	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

29.0ms	(* m (- 1.0 m))
49.0ms	(/ (* m (- 1.0 m)) v)
130.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series202.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* m (- 1.0 m))
75.0ms	(/ (* m (- 1.0 m)) v)
73.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.7s

Counts

104 → 104

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	177	1426
1	454	1229
2	2259	1046
done	5000	1021

prune316.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.2b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
15.6b	(/ (pow m 2) v)

rewrite607.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
41×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
37×	`add-cube-cbrt`
28×	`prod-diff`
21×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*` `unpow2`
7×	`add-cbrt-cube` `sqr-pow`
5×	`pow1` `associate-l` `add-log-exp`
3×	`expm1-log1p-u` `div-exp` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `associate-l/` `flip--` `div-inv`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `distribute-lft-out--` `sub-div` `difference-of-squares` `unswap-sqr`

Counts

3 → 121

Calls

3 calls:

33.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
553.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
11.0ms	(/ (pow m 2) v)

series146.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
52.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
29.0ms	(/ (pow m 2) v)

simplify3.3s

Counts

130 → 130

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	300	2815
1	808	2532
2	4302	1855
done	5000	1854

prune412.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite180.0ms

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×	`expm1-log1p-u` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `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 → 102

Calls

3 calls:

39.0ms	(/ (- 1.0 m) v)
101.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
33.0ms	(* m (/ (- 1.0 m) v))

series178.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- 1.0 m) v)
66.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
70.0ms	(* m (/ (- 1.0 m) v))

simplify1.5s

Counts

111 → 111

Iterations

Useful iterations: 2 (451.0ms)

Iter	Nodes	Cost
0	155	1254
1	407	1193
2	1830	1085
done	5001	1085

prune406.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 1.0 m) (/ 1 v))
0.2b	(* (- (* m (* (- 1.0 m) (/ 1 v))) 1.0) m)
0.3b	(* m (* (- 1.0 m) (/ 1 v)))

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
25×	`add-sqr-sqrt`
19×	`add-cbrt-cube`
17×	`-un-lft-identity` `associate-r*`
14×	`add-cube-cbrt` `prod-exp`
12×	`pow1`
11×	`times-frac` `associate-l`
8×	`associate-*r/` `cbrt-unprod`
6×	`associate-*l/`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`frac-times` `div-exp` `unswap-sqr`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 96

Calls

3 calls:

41.0ms	(* (- 1.0 m) (/ 1 v))
197.0ms	(* (- (* m (* (- 1.0 m) (/ 1 v))) 1.0) m)
87.0ms	(* m (* (- 1.0 m) (/ 1 v)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- 1.0 m) (/ 1 v))
58.0ms	(* (- (* m (* (- 1.0 m) (/ 1 v))) 1.0) m)
63.0ms	(* m (* (- 1.0 m) (/ 1 v)))

simplify2.5s

Counts

105 → 105

Iterations

Useful iterations: 2 (439.0ms)

Iter	Nodes	Cost
0	168	1350
1	445	1240
2	2518	941
done	5002	941

prune269.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	15	13
done	15	13

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13841×	body	80	valid
393.0ms	13841×	pre	80	true