Details

sample168.0ms

Algorithm

intervals

Results

26.0ms	385×	body	80	valid
12.0ms	385×	pre	80	true

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4955
5	1090
4	344
3	105
2	38
1	16
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite244.0ms

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:

38.0ms	(* m (- 1.0 m))
42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
17.0ms	(/ (* m (- 1.0 m)) v)
135.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series215.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* m (- 1.0 m))
27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
58.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.7s

Counts

181 → 181

Iterations

Iter	Nodes
done	5009
2	1879
1	677
0	265

prune793.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite684.0ms

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))
156.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
430.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
30.0ms	(/ m (/ v (- 1.0 m)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ v (- 1.0 m))
42.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
63.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
59.0ms	(/ m (/ v (- 1.0 m)))

simplify2.5s

Counts

501 → 501

Iterations

Iter	Nodes
done	5000
2	4108
1	1362
0	545

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite579.0ms

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:

19.0ms	(/ v (- 1.0 m))
136.0ms	(+ (/ m (/ v (- 1.0 m))) (- 1.0))
376.0ms	(* (+ (/ m (/ v (- 1.0 m))) (- 1.0)) (- 1.0 m))
22.0ms	(/ m (/ v (- 1.0 m)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ v (- 1.0 m))
26.0ms	(+ (/ m (/ v (- 1.0 m))) (- 1.0))
64.0ms	(* (+ (/ m (/ v (- 1.0 m))) (- 1.0)) (- 1.0 m))
47.0ms	(/ m (/ v (- 1.0 m)))

simplify2.3s

Counts

296 → 296

Iterations

Iter	Nodes
done	5006
2	3645
1	1026
0	355

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite473.0ms

Algorithm

rewrite-expression-head

Rules

318×	`times-frac`
295×	`*-un-lft-identity`
234×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
101×	`associate-l`
38×	`distribute-lft-out--` `difference-of-squares`
36×	`distribute-lft-out`
34×	`add-cbrt-cube` `add-exp-log`
31×	`associate-/r/`
21×	`associate-/l*`
18×	`flip3-+` `prod-diff` `flip-+`
14×	`div-inv`
13×	`cbrt-undiv` `div-exp`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
8×	`frac-times` `pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-r/`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`distribute-rgt-neg-in` `associate-/l/`

Counts

4 → 345

Calls

4 calls:

40.0ms	(/ (/ v (+ m 1.0)) (- 1.0 m))
288.0ms	(* (+ (/ m (* (/ (/ v (+ m 1.0)) (- 1.0 m)) (+ 1.0 m))) (- 1.0)) (- 1.0 m))
33.0ms	(/ m (* (/ (/ v (+ m 1.0)) (- 1.0 m)) (+ 1.0 m)))
94.0ms	(* (/ (/ v (+ m 1.0)) (- 1.0 m)) (+ 1.0 m))

series280.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (/ v (+ m 1.0)) (- 1.0 m))
63.0ms	(* (+ (/ m (* (/ (/ v (+ m 1.0)) (- 1.0 m)) (+ 1.0 m))) (- 1.0)) (- 1.0 m))
49.0ms	(/ m (* (/ (/ v (+ m 1.0)) (- 1.0 m)) (+ 1.0 m)))
54.0ms	(* (/ (/ v (+ m 1.0)) (- 1.0 m)) (+ 1.0 m))

simplify2.6s

Counts

357 → 357

Iterations

Iter	Nodes
done	5001
1	1862
0	493

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

859.0ms	13702×	body	80	valid
341.0ms	13702×	pre	80	true