Details

sample144.0ms

Algorithm

intervals

Results

28.0ms	436×	body	80	valid
12.0ms	436×	pre	80	true

simplify6.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4336
9	2153
8	1323
7	863
6	570
5	352
4	164
3	65
2	32
1	16
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

51.0ms	(* m (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)
203.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series253.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* m (- 1.0 m))
81.0ms	(/ (* m (- 1.0 m)) v)
83.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify5.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	4947
2	1223
1	442
0	177

prune619.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- (/ (- 1.0 m) (/ v m)) 1.0) m)
0.3b	(/ (- 1.0 m) (/ v m))

rewrite611.0ms

Algorithm

rewrite-expression-head

Rules

122×	`times-frac`
99×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
60×	`add-cube-cbrt`
17×	`difference-of-squares`
15×	`distribute-lft-out--`
13×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l` `div-inv`
5×	`associate-/l*`
4×	`pow1`
3×	`cbrt-undiv` `div-exp` `associate-r`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `div-sub` `pow-prod-down` `prod-exp` `clear-num` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 129

Calls

2 calls:

546.0ms	(* (- (/ (- 1.0 m) (/ v m)) 1.0) m)
53.0ms	(/ (- 1.0 m) (/ v m))

series152.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (- (/ (- 1.0 m) (/ v m)) 1.0) m)
83.0ms	(/ (- 1.0 m) (/ v m))

simplify3.6s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	2263
1	704
0	237

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.2b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite630.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 198

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
460.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
58.0ms	(/ (* m (- 1.0 m)) (sqrt v))
45.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series396.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* m (- 1.0 m))
102.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
106.0ms	(/ (* m (- 1.0 m)) (sqrt v))
95.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify3.1s

Counts

210 → 210

Iterations

Iter	Nodes
done	5038
2	2711
1	825
0	321

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 m) m)
0.0b	(/ (* (- 1.0 m) m) v)
0.2b	(* (sqrt m) (- (/ (* (- 1.0 m) m) v) 1.0))
0.4b	(* (* (sqrt m) (- (/ (* (- 1.0 m) m) v) 1.0)) (sqrt m))

rewrite428.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

47.0ms	(* (- 1.0 m) m)
36.0ms	(/ (* (- 1.0 m) m) v)
148.0ms	(* (sqrt m) (- (/ (* (- 1.0 m) m) v) 1.0))
181.0ms	(* (* (sqrt m) (- (/ (* (- 1.0 m) m) v) 1.0)) (sqrt m))

series385.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (- 1.0 m) m)
78.0ms	(/ (* (- 1.0 m) m) v)
138.0ms	(* (sqrt m) (- (/ (* (- 1.0 m) m) v) 1.0))
93.0ms	(* (* (sqrt m) (- (/ (* (- 1.0 m) m) v) 1.0)) (sqrt m))

simplify3.1s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
2	1840
1	682
0	261

prune877.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes342.0ms

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	10
1	10
0	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	13792×	body	80	valid
936.0ms	13792×	pre	80	true