Details

sample174.0ms

Algorithm

intervals

Results

28.0ms	453×	body	80	valid
13.0ms	453×	pre	80	true

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1643
5	472
4	189
3	72
2	34
1	16
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `log1p-expm1-u` `flip--`
3×	`associate-/r*` `sub-neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
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 → 139

Calls

4 calls:

36.0ms	(* m (- 1.0 m))
40.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
18.0ms	(/ (* m (- 1.0 m)) v)
95.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series204.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* m (- 1.0 m))
32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
55.0ms	(/ (* m (- 1.0 m)) v)
53.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify2.2s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	2638
1	560
0	223

prune618.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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) m)

rewrite615.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
443×	`add-sqr-sqrt`
427×	`*-un-lft-identity`
327×	`add-cube-cbrt`
204×	`prod-diff`
68×	`fma-neg`
54×	`difference-of-squares`
50×	`distribute-lft-out--`
37×	`associate-/r/`
21×	`associate-/r*` `div-inv`
18×	`flip3--` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-r` `log1p-expm1-u` `associate-/l*`
2×	`associate-*l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 420

Calls

3 calls:

185.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
15.0ms	(/ m (/ v (- 1.0 m)))
368.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series150.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
62.0ms	(/ m (/ v (- 1.0 m)))
52.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify2.5s

Counts

429 → 429

Iterations

Iter	Nodes
done	5000
2	4869
1	1125
0	457

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0)
0.0b	(/ (/ v (- 1.0 m)) m)
0.1b	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
0.2b	(/ 1 (/ (/ v (- 1.0 m)) m))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

2880×	`times-frac`
1754×	`add-sqr-sqrt`
1718×	`*-un-lft-identity`
1394×	`add-cube-cbrt`
618×	`prod-diff`
206×	`fma-neg`
170×	`difference-of-squares`
160×	`distribute-lft-out--`
109×	`associate-/r/`
76×	`div-inv`
70×	`associate-/r*`
54×	`flip3--` `flip--`
32×	`add-exp-log`
24×	`associate-/l*`
20×	`add-cbrt-cube`
18×	`div-exp`
12×	`associate-l`
9×	`cbrt-undiv`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `1-exp` `associate-r`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

4 → 1280

Calls

4 calls:

364.0ms	(- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0)
36.0ms	(/ (/ v (- 1.0 m)) m)
818.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
31.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

series256.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0)
63.0ms	(/ (/ v (- 1.0 m)) m)
83.0ms	(* (- (/ 1 (/ (/ v (- 1.0 m)) m)) 1.0) m)
68.0ms	(/ 1 (/ (/ v (- 1.0 m)) m))

simplify2.8s

Counts

1292 → 1292

Iterations

Iter	Nodes
done	5000
1	3183
0	1207

prune4.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

2217×	`times-frac`
1245×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
912×	`add-cube-cbrt`
714×	`sqrt-prod`
155×	`difference-of-squares`
146×	`distribute-lft-out--`
63×	`div-inv`
49×	`associate-/r/`
47×	`associate-/r*`
31×	`associate-/l*`
25×	`flip3--` `flip--`
22×	`add-cbrt-cube` `add-exp-log`
14×	`associate-l`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`

Counts

4 → 1003

Calls

4 calls:

20.0ms	(/ (sqrt v) (- 1.0 m))
1.8s	(* (- (/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m))) 1.0) m)
5.0ms	(/ m (sqrt v))
39.0ms	(/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m)))

series626.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (sqrt v) (- 1.0 m))
81.0ms	(* (- (/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m))) 1.0) m)
398.0ms	(/ m (sqrt v))
85.0ms	(/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m)))

simplify2.7s

Counts

1015 → 1015

Iterations

Iter	Nodes
done	5002
1	4212
0	1113

prune3.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

835.0ms	13750×	body	80	valid
363.0ms	13750×	pre	80	true