Details

sample338.0ms

Algorithm

intervals

Results

25.0ms	385×	body	80	valid
12.0ms	385×	pre	80	true

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1604
4	395
3	112
2	40
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*` `prod-exp` `cbrt-unprod`
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 → 169

Calls

4 calls:

36.0ms	(* m (- 1.0 m))
42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
32.0ms	(/ (* m (- 1.0 m)) v)
148.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series240.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* m (- 1.0 m))
27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
62.0ms	(/ (* m (- 1.0 m)) v)
66.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify2.0s

Counts

181 → 181

Iterations

Iter	Nodes
done	5000
2	3826
1	679
0	265

prune728.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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

rewrite556.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
476×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
350×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
59×	`difference-of-squares`
55×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
13×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `div-exp` `log1p-expm1-u`
3×	`sub-neg`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 489

Calls

4 calls:

9.0ms	(/ v (- 1.0 m))
160.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
322.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
26.0ms	(/ m (/ v (- 1.0 m)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ v (- 1.0 m))
32.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
46.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
54.0ms	(/ m (/ v (- 1.0 m)))

simplify1.3s

Counts

501 → 501

Iterations

Iter	Nodes
done	5000
1	1374
0	545

prune2.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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

rewrite644.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
195×	`*-un-lft-identity`
189×	`add-sqr-sqrt`
135×	`add-cube-cbrt`
68×	`fma-def`
26×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
18×	`prod-diff` `associate-/r/`
13×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--`
10×	`div-inv`
8×	`add-log-exp`
6×	`pow1` `associate-/l*`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`clear-num` `sum-log` `sub-neg` `distribute-rgt-neg-in` `frac-2neg` `associate-l/` `associate-r/`
1×	`neg-sub0` `+-commutative` `associate-+r-` `unsub-neg` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 284

Calls

4 calls:

15.0ms	(/ v (- 1.0 m))
136.0ms	(+ (/ m (/ v (- 1.0 m))) (- 1.0))
449.0ms	(* (+ (/ m (/ v (- 1.0 m))) (- 1.0)) (- 1.0 m))
18.0ms	(/ m (/ v (- 1.0 m)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ v (- 1.0 m))
52.0ms	(+ (/ m (/ v (- 1.0 m))) (- 1.0))
61.0ms	(* (+ (/ m (/ v (- 1.0 m))) (- 1.0)) (- 1.0 m))
65.0ms	(/ m (/ v (- 1.0 m)))

simplify1.1s

Counts

296 → 296

Iterations

Iter	Nodes
done	5001
1	1037
0	355

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.9s

Algorithm

rewrite-expression-head

Rules

5912×	`times-frac`
4004×	`*-un-lft-identity`
2808×	`add-sqr-sqrt`
2082×	`add-cube-cbrt`
599×	`distribute-lft-out`
362×	`distribute-lft-out--` `difference-of-squares`
314×	`associate-/l*`
250×	`associate-/r/`
128×	`div-inv`
105×	`associate-/r*` `flip3-+` `flip-+`
34×	`add-cbrt-cube` `add-exp-log`
23×	`flip3--` `flip--`
19×	`cbrt-undiv` `div-exp`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`sub-neg` `associate-l/` `associate-r/` `associate-/l/`
1×	`distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 2084

Calls

4 calls:

24.0ms	(/ (/ v (+ 1.0 m)) (- 1.0 m))
51.0ms	(/ m (/ (/ v (+ 1.0 m)) (- 1.0 m)))
145.0ms	(/ (/ m (/ (/ v (+ 1.0 m)) (- 1.0 m))) (+ 1.0 m))
4.3s	(* (+ (/ (/ m (/ (/ v (+ 1.0 m)) (- 1.0 m))) (+ 1.0 m)) (- 1.0)) (- 1.0 m))

series354.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (/ v (+ 1.0 m)) (- 1.0 m))
100.0ms	(/ m (/ (/ v (+ 1.0 m)) (- 1.0 m)))
70.0ms	(/ (/ m (/ (/ v (+ 1.0 m)) (- 1.0 m))) (+ 1.0 m))
80.0ms	(* (+ (/ (/ m (/ (/ v (+ 1.0 m)) (- 1.0 m))) (+ 1.0 m)) (- 1.0)) (- 1.0 m))

simplify2.8s

Counts

2096 → 2096

Iterations

Iter	Nodes
done	5001
0	2176

prune9.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

787.0ms	13702×	body	80	valid
353.0ms	13702×	pre	80	true