Details

sample254.0ms

Algorithm

intervals

Results

21.0ms	446×	body	80	valid
11.0ms	446×	pre	80	true

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	4477
6	1331
5	417
4	171
3	67
2	34
1	16
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

26.0ms	(- (* (- 1.0 m) (/ m v)) 1.0)
39.0ms	(* (- 1.0 m) (/ m v))
80.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) m)

series197.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (* (- 1.0 m) (/ m v)) 1.0)
68.0ms	(* (- 1.0 m) (/ m v))
85.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) m)

simplify1.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1981
1	347
0	135

prune367.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
0.2b	(/ m (/ v m))
9.1b	(/ (pow m 3) v)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
70×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`associate-/l*`
13×	`add-exp-log`
12×	`unpow-prod-down` `cube-prod`
10×	`add-cbrt-cube`
6×	`div-exp` `div-inv`
5×	`add-log-exp`
4×	`cube-mult` `cbrt-undiv` `unpow3` `associate--l+` `sqr-pow`
3×	`pow1` `sub-neg`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `associate-*r/` `frac-sub` `flip--`
1×	`pow-to-exp` `diff-log` `pow-exp` `associate-/r/`

Counts

3 → 153

Calls

3 calls:

75.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
14.0ms	(/ m (/ v m))
15.0ms	(/ (pow m 3) v)

series124.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
21.0ms	(/ m (/ v m))
35.0ms	(/ (pow m 3) v)

simplify2.8s

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
2	4575
1	689
0	271

prune719.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ 1 (/ v (pow m 3))))
0.2b	(/ m (/ v m))
0.9b	(/ 1 (/ v (pow m 3)))
8.3b	(/ v (pow m 3))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

375×	`times-frac`
200×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
65×	`associate-/r*`
48×	`unpow-prod-down` `cube-prod`
36×	`add-exp-log`
23×	`div-exp`
16×	`cube-mult` `add-cbrt-cube` `unpow3` `sqr-pow`
11×	`div-inv`
9×	`associate-/l*`
7×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate--l+`
3×	`clear-num` `sub-neg` `frac-2neg`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `associate-/r/` `frac-sub` `flip--`
1×	`diff-log` `pow-flip` `inv-pow`

Counts

4 → 343

Calls

4 calls:

84.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ 1 (/ v (pow m 3))))
14.0ms	(/ m (/ v m))
31.0ms	(/ 1 (/ v (pow m 3)))
13.0ms	(/ v (pow m 3))

series193.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ 1 (/ v (pow m 3))))
26.0ms	(/ m (/ v m))
53.0ms	(/ 1 (/ v (pow m 3)))
47.0ms	(/ v (pow m 3))

simplify688.0ms

Counts

355 → 355

Iterations

Iter	Nodes
done	5001
1	1271
0	452

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite681.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

192.0ms	(- (- (* (/ m v) 1.0) (/ m (/ v m))) 1.0)
17.0ms	(- (* (/ m v) 1.0) (/ m (/ v m)))
454.0ms	(* (- (- (* (/ m v) 1.0) (/ m (/ v m))) 1.0) m)
8.0ms	(/ m (/ v m))

series191.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- (* (/ m v) 1.0) (/ m (/ v m))) 1.0)
56.0ms	(- (* (/ m v) 1.0) (/ m (/ v m)))
55.0ms	(* (- (- (* (/ m v) 1.0) (/ m (/ v m))) 1.0) m)
35.0ms	(/ m (/ v m))

simplify1.6s

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
2	3304
1	584
0	228

prune564.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample2.1s

Algorithm

intervals

Results

855.0ms	13900×	pre	80	true
744.0ms	13900×	body	80	valid