Details

sample101.0ms

Algorithm

intervals

Results

17.0ms	446×	body	80	valid
9.0ms	446×	pre	80	true

simplify2.9s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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) (- 1.0 m))

rewrite224.0ms

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:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
33.0ms	(* m (- 1.0 m))
35.0ms	(/ (* m (- 1.0 m)) v)
122.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series244.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
64.0ms	(* m (- 1.0 m))
73.0ms	(/ (* m (- 1.0 m)) v)
79.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.8s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
2	3822
1	679
0	265

prune703.0ms

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	(/ 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) (- 1.0 m))

rewrite661.0ms

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))
177.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
25.0ms	(/ m (/ v (- 1.0 m)))
392.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series198.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ v (- 1.0 m))
31.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
61.0ms	(/ m (/ v (- 1.0 m)))
53.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify723.0ms

Counts

501 → 501

Iterations

Iter	Nodes
done	5001
1	1374
0	545

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (* (/ 1 v) (- 1.0 m))) 1.0)
0.0b	(* (/ 1 v) (- 1.0 m))
0.1b	(* (- (* m (* (/ 1 v) (- 1.0 m))) 1.0) (- 1.0 m))
0.3b	(* m (* (/ 1 v) (- 1.0 m)))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

111×	`prod-diff`
110×	`distribute-rgt-in` `distribute-lft-in`
101×	`add-sqr-sqrt`
93×	`*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`associate--l+`
30×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`associate-l`
14×	`prod-exp`
13×	`pow1` `sub-neg`
11×	`times-frac` `flip3--` `associate-r` `associate-*r/` `flip--`
8×	`frac-times` `cbrt-unprod`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `div-exp` `associate-*l/` `log1p-expm1-u` `unswap-sqr`
3×	`*-commutative`
2×	`cbrt-undiv` `rec-exp` `1-exp` `distribute-lft-out--` `difference-of-squares`
1×	`fma-neg` `diff-log` `div-inv`

Counts

4 → 252

Calls

4 calls:

93.0ms	(- (* m (* (/ 1 v) (- 1.0 m))) 1.0)
54.0ms	(* (/ 1 v) (- 1.0 m))
247.0ms	(* (- (* m (* (/ 1 v) (- 1.0 m))) 1.0) (- 1.0 m))
70.0ms	(* m (* (/ 1 v) (- 1.0 m)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* m (* (/ 1 v) (- 1.0 m))) 1.0)
35.0ms	(* (/ 1 v) (- 1.0 m))
46.0ms	(* (- (* m (* (/ 1 v) (- 1.0 m))) 1.0) (- 1.0 m))
60.0ms	(* m (* (/ 1 v) (- 1.0 m)))

simplify1.1s

Counts

264 → 264

Iterations

Iter	Nodes
done	5001
1	1095
0	356

prune992.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma 1.0 (/ m v) (- (/ (* m m) v))) 1.0)
0.0b	(fma 1.0 (/ m v) (- (/ (* m m) v)))
0.1b	(* (- (fma 1.0 (/ m v) (- (/ (* m m) v))) 1.0) (- 1.0 m))
14.5b	(/ (* m m) v)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(- (fma 1.0 (/ m v) (- (/ (* m m) v))) 1.0)
0.0ms	(fma 1.0 (/ m v) (- (/ (* m m) v)))
52.0ms	(* (- (fma 1.0 (/ m v) (- (/ (* m m) v))) 1.0) (- 1.0 m))
11.0ms	(/ (* m m) v)

series204.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (fma 1.0 (/ m v) (- (/ (* m m) v))) 1.0)
64.0ms	(fma 1.0 (/ m v) (- (/ (* m m) v)))
71.0ms	(* (- (fma 1.0 (/ m v) (- (/ (* m m) v))) 1.0) (- 1.0 m))
33.0ms	(/ (* m m) v)

simplify1.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	3708
1	567
0	218

prune586.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes134.0ms

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	17
2	17
1	14
0	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	13900×	body	80	valid
301.0ms	13900×	pre	80	true