Details

sample268.0ms

Algorithm

intervals

Results

152.0ms	385×	pre	80	true
16.0ms	385×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

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:

38.0ms	(* m (- 1.0 m))
47.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
32.0ms	(/ (* m (- 1.0 m)) v)
122.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series250.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* m (- 1.0 m))
44.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
58.0ms	(/ (* m (- 1.0 m)) v)
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.9s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	2638
1	560
0	223

prune666.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite557.0ms

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))
109.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
14.0ms	(/ m (/ v (- 1.0 m)))
381.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series199.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ v (- 1.0 m))
42.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
40.0ms	(/ m (/ v (- 1.0 m)))
52.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify1.1s

Counts

471 → 471

Iterations

Iter	Nodes
done	5000
1	1203
0	483

prune2.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
0.0b	(- (/ m (/ v m)) m)
0.2b	(/ m (/ v m))
1.7b	(/ (* m m) (/ v m))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

791×	`times-frac`
559×	`add-sqr-sqrt`
553×	`*-un-lft-identity`
550×	`add-cube-cbrt`
414×	`prod-diff`
268×	`associate--l+`
134×	`distribute-rgt-in` `distribute-lft-in`
50×	`div-inv`
45×	`fma-neg`
26×	`associate-/r*`
21×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/r/`
9×	`cbrt-undiv` `div-exp`
8×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `sub-neg` `log1p-expm1-u` `associate-/l*`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`clear-num` `frac-2neg` `diff-log` `prod-exp` `associate-*r/` `frac-sub` `cbrt-unprod`
1×	`distribute-rgt-out--` `distribute-lft-out--`

Counts

4 → 618

Calls

4 calls:

99.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
60.0ms	(- (/ m (/ v m)) m)
9.0ms	(/ m (/ v m))
15.0ms	(/ (* m m) (/ v m))

series169.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
40.0ms	(- (/ m (/ v m)) m)
43.0ms	(/ m (/ v m))
42.0ms	(/ (* m m) (/ v m))

simplify1.3s

Counts

630 → 630

Iterations

Iter	Nodes
done	5000
1	1413
0	498

prune4.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) m)
0.1b	(* (* m m) m)
0.2b	(/ m (/ v m))
8.9b	(/ (* (* m m) m) v)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

345×	`times-frac`
243×	`add-sqr-sqrt`
236×	`*-un-lft-identity`
233×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
23×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`div-inv`
16×	`associate-/r*`
6×	`cbrt-undiv` `pow-plus` `div-exp` `prod-exp` `associate-/r/` `pow-prod-up` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`associate-r` `pow-prod-down` `difference-of-squares`
2×	`pow2` `clear-num` `frac-2neg` `pow-sqr`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `pow3` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 322

Calls

4 calls:

76.0ms	(- (/ m (/ v m)) m)
25.0ms	(* (* m m) m)
7.0ms	(/ m (/ v m))
17.0ms	(/ (* (* m m) m) v)

series135.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (/ m (/ v m)) m)
36.0ms	(* (* m m) m)
32.0ms	(/ m (/ v m))
33.0ms	(/ (* (* m m) m) v)

simplify947.0ms

Counts

334 → 334

Iterations

Iter	Nodes
done	5000
1	959
0	370

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

838.0ms	13702×	body	80	valid
324.0ms	13702×	pre	80	true