Details

sample279.0ms

Algorithm

intervals

Results

10.0ms	426×	body	80	valid
6.0ms	426×	pre	80	true

simplify4.2s

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	663	13
6	1788	13
7	3976	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

6.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series88.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify683.0ms

Counts

63 → 63

Iterations

Useful iterations: done (681.0ms)

Iter	Nodes	Cost
0	129	1073
1	349	1035
2	1370	957
done	5000	955

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 175

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
201.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series112.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ v (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))
39.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify923.0ms

Counts

184 → 184

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	293	2946
1	682	2781
2	2587	2667
done	5000	2667

prune406.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 199

Calls

4 calls:

22.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
11.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
265.0ms	(* (- (/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m)))) 1.0) (- 1.0 m))
22.0ms	(/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
194.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
139.0ms	(* (- (/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m)))) 1.0) (- 1.0 m))
339.0ms	(/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m))))

simplify1.5s

Counts

211 → 211

Iterations

Useful iterations: 2 (672.0ms)

Iter	Nodes	Cost
0	367	4532
1	983	3725
2	3695	3329
done	5000	3329

prune449.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ m (/ v (- 1.0 m)))
0.0b	(/ m (/ v (- 1.0 m)))
0.4b	(* (/ m (/ v (- 1.0 m))) (/ m (/ v (- 1.0 m))))
12.4b	(/ (* (- (* (/ m (/ v (- 1.0 m))) (/ m (/ v (- 1.0 m)))) (* 1.0 1.0)) (- 1.0 m)) (+ (/ m (/ v (- 1.0 m))) 1.0))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
520×	`*-un-lft-identity`
498×	`add-sqr-sqrt`
342×	`add-cube-cbrt`
86×	`swap-sqr`
78×	`distribute-lft-out--`
68×	`associate-r` `associate-l`
60×	`difference-of-squares`
55×	`add-exp-log` `add-cbrt-cube`
48×	`associate-/r/`
46×	`associate-/r*`
27×	`div-inv`
26×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
11×	`pow1`
10×	`prod-exp` `cbrt-unprod`
9×	`unswap-sqr`
8×	`associate-/l/`
7×	`associate-/l*`
5×	`frac-times`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
2×	`distribute-lft-out`
1×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+`

Counts

4 → 502

Calls

4 calls:

9.0ms	(/ m (/ v (- 1.0 m)))
9.0ms	(/ m (/ v (- 1.0 m)))
104.0ms	(* (/ m (/ v (- 1.0 m))) (/ m (/ v (- 1.0 m))))
97.0ms	(/ (* (- (* (/ m (/ v (- 1.0 m))) (/ m (/ v (- 1.0 m)))) (* 1.0 1.0)) (- 1.0 m)) (+ (/ m (/ v (- 1.0 m))) 1.0))

series200.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ m (/ v (- 1.0 m)))
36.0ms	(/ m (/ v (- 1.0 m)))
46.0ms	(* (/ m (/ v (- 1.0 m))) (/ m (/ v (- 1.0 m))))
80.0ms	(/ (* (- (* (/ m (/ v (- 1.0 m))) (/ m (/ v (- 1.0 m)))) (* 1.0 1.0)) (- 1.0 m)) (+ (/ m (/ v (- 1.0 m))) 1.0))

simplify906.0ms

Counts

514 → 514

Iterations

Useful iterations: done (888.0ms)

Iter	Nodes	Cost
0	545	11915
1	1911	10865
done	5000	10739

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	10	13
done	10	13

end0.0ms

sample698.0ms

Algorithm

intervals

Results

310.0ms	13529×	body	80	valid
172.0ms	13529×	pre	80	true