Details

sample131.0ms

Algorithm

intervals

Results

19.0ms	446×	body	80	valid
9.0ms	446×	pre	80	true

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1643
5	472
4	189
3	72
2	34
1	16
0	8

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `log1p-expm1-u` `flip--`
3×	`associate-/r*` `sub-neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

45.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
34.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
97.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series249.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
70.0ms	(* m (- 1.0 m))
64.0ms	(/ (* m (- 1.0 m)) v)
82.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.7s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
2	2635
1	560
0	223

prune537.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite634.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
462×	`add-sqr-sqrt`
446×	`*-un-lft-identity`
338×	`add-cube-cbrt`
204×	`prod-diff`
68×	`fma-neg`
58×	`difference-of-squares`
54×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
22×	`div-inv`
19×	`flip3--` `flip--`
13×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u`
3×	`associate-r`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 459

Calls

4 calls:

9.0ms	(/ v (- 1.0 m))
159.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
27.0ms	(/ m (/ v (- 1.0 m)))
395.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series186.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ v (- 1.0 m))
35.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
57.0ms	(/ m (/ v (- 1.0 m)))
45.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify751.0ms

Counts

471 → 471

Iterations

Iter	Nodes
done	5000
1	1203
0	483

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 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)

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

543×	`times-frac`
390×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
304×	`prod-diff`
268×	`associate--l+`
134×	`distribute-rgt-in` `distribute-lft-in`
31×	`div-inv`
21×	`unpow-prod-down` `cube-prod`
16×	`associate-/r*`
15×	`associate-/l*`
13×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
6×	`div-exp`
5×	`add-log-exp`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `pow1` `sub-neg` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `associate-*r/` `frac-sub` `flip--`
1×	`pow-to-exp` `fma-neg` `diff-log` `pow-exp`

Counts

3 → 464

Calls

3 calls:

136.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
14.0ms	(/ m (/ v m))
15.0ms	(/ (pow m 3) v)

series106.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
27.0ms	(/ m (/ v m))
39.0ms	(/ (pow m 3) v)

simplify733.0ms

Counts

473 → 473

Iterations

Iter	Nodes
done	5001
1	1261
0	447

prune3.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite513.0ms

Algorithm

rewrite-expression-head

Rules

2367×	`times-frac`
1163×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
749×	`prod-diff`
480×	`unpow-prod-down` `cube-prod`
268×	`associate--l+`
160×	`cube-mult` `unpow3` `sqr-pow`
134×	`distribute-rgt-in` `distribute-lft-in`
65×	`associate-/r*`
57×	`div-inv`
46×	`add-exp-log`
34×	`div-exp`
18×	`associate-/l*`
16×	`add-cbrt-cube`
13×	`pow-exp`
9×	`pow-to-exp` `associate-/r/`
7×	`cbrt-undiv`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `1-exp` `log1p-expm1-u`
3×	`clear-num` `sub-neg` `frac-2neg`
2×	`flip3--` `associate-*r/` `frac-sub` `flip--`
1×	`fma-neg` `diff-log`

Counts

4 → 1472

Calls

4 calls:

287.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow 1 3) (/ v (pow m 3))))
8.0ms	(/ m (/ v m))
30.0ms	(/ (pow 1 3) (/ v (pow m 3)))
13.0ms	(/ v (pow m 3))

series185.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow 1 3) (/ v (pow m 3))))
27.0ms	(/ m (/ v m))
49.0ms	(/ (pow 1 3) (/ v (pow m 3)))
52.0ms	(/ v (pow m 3))

simplify1.1s

Counts

1484 → 1484

Iterations

Iter	Nodes
done	5000
0	2115

prune5.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample2.2s

Algorithm

intervals

Results

903.0ms	13900×	pre	80	true
759.0ms	13900×	body	80	valid