Details

sample264.0ms

Algorithm

intervals

Results

69.0ms	448×	pre	80	true
40.0ms	448×	body	80	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
6	3591
5	1094
4	330
3	97
2	39
1	17
0	8

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
0.0b	(/ (* m (- 1 m)) v)

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-l`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*r/` `difference-of-squares`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 129

Calls

3 calls:

14.0ms	(* m (- 1 m))
72.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
29.0ms	(/ (* m (- 1 m)) v)

series164.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* m (- 1 m))
44.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
62.0ms	(/ (* m (- 1 m)) v)

simplify12.9s

Counts

138 → 138

Iterations

Iter	Nodes
3	6179
2	1689
1	537
0	223

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1 m) m)
0.0b	(* (- (/ (* (- 1 m) m) v) 1) (- 1 m))
0.0b	(/ (* (- 1 m) m) v)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

16.0ms	(* (- 1 m) m)
63.0ms	(* (- (/ (* (- 1 m) m) v) 1) (- 1 m))
29.0ms	(/ (* (- 1 m) m) v)

series154.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (- 1 m) m)
44.0ms	(* (- (/ (* (- 1 m) m) v) 1) (- 1 m))
49.0ms	(/ (* (- 1 m) m) v)

simplify1.3m

Counts

116 → 116

Iterations

Iter	Nodes
3	7250
2	1562
1	510
0	199

prune1000.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
147×	`add-sqr-sqrt`
129×	`*-un-lft-identity`
79×	`add-cube-cbrt`
36×	`difference-of-squares`
18×	`prod-diff`
16×	`distribute-lft-out--`
13×	`associate-/r` `associate-l*`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
7×	`flip3--` `flip--`
6×	`associate-r` `associate-/l*`
4×	`frac-times` `pow1`
3×	`cbrt-undiv` `difference-of-sqr-1` `div-exp`
2×	`expm1-log1p-u` `sub-neg` `associate-l/` `associate-r/` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 180

Calls

2 calls:

184.0ms	(* (- (/ (- 1 m) (/ v m)) 1) (- 1 m))
21.0ms	(/ (- 1 m) (/ v m))

series73.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- (/ (- 1 m) (/ v m)) 1) (- 1 m))
38.0ms	(/ (- 1 m) (/ v m))

simplify3.6s

Counts

186 → 186

Iterations

Iter	Nodes
2	2904
1	953
0	338

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
0.3b	(cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
0.3b	(cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
0.3b	(* (cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m))) (cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-l/` `associate-r/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 170

Calls

4 calls:

15.0ms	(cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
24.0ms	(cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
31.0ms	(cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
68.0ms	(* (cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m))) (cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
189.0ms	(cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
179.0ms	(cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
146.0ms	(* (cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m))) (cbrt (* (- (/ (* m (- 1 m)) v) 1) (- 1 m))))

simplify3.3s

Counts

182 → 182

Iterations

Iter	Nodes
3	3922
2	1414
1	569
0	307

prune2.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	8

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	13566×	body	80	valid
693.0ms	13566×	pre	80	true