Details

sample288.0ms

Algorithm

intervals

Results

58.0ms	420×	body	80	valid
15.0ms	420×	pre	80	true

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4954
9	2413
8	1377
7	866
6	573
5	353
4	164
3	65
2	32
1	16
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

36.0ms	(* m (- 1.0 m))
26.0ms	(/ (* m (- 1.0 m)) v)
95.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series169.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* m (- 1.0 m))
51.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify3.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	4764
2	1229
1	443
0	177

prune896.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

28.0ms	(* (- 1.0 m) m)
26.0ms	(/ (* (- 1.0 m) m) v)
87.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) m)

series167.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (- 1.0 m) m)
51.0ms	(/ (* (- 1.0 m) m) v)
50.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) m)

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1102
1	329
0	126

prune435.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
12×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`associate-/l*`
3×	`expm1-log1p-u` `associate-/r*` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `flip--` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `associate-*r/`

Counts

3 → 102

Calls

3 calls:

19.0ms	(/ (- 1.0 m) v)
41.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
22.0ms	(* m (/ (- 1.0 m) v))

series162.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- 1.0 m) v)
52.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
59.0ms	(* m (/ (- 1.0 m) v))

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1226
1	401
0	155

prune535.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ (- 1.0 m) (sqrt v)) (/ m (sqrt v))) 1.0) m)
0.3b	(/ m (sqrt v))
0.3b	(/ (- 1.0 m) (sqrt v))
0.4b	(* (/ (- 1.0 m) (sqrt v)) (/ m (sqrt v)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-l`
25×	`associate-r`
22×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 208

Calls

4 calls:

89.0ms	(* (- (* (/ (- 1.0 m) (sqrt v)) (/ m (sqrt v))) 1.0) m)
7.0ms	(/ m (sqrt v))
19.0ms	(/ (- 1.0 m) (sqrt v))
67.0ms	(* (/ (- 1.0 m) (sqrt v)) (/ m (sqrt v)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- (* (/ (- 1.0 m) (sqrt v)) (/ m (sqrt v))) 1.0) m)
64.0ms	(/ m (sqrt v))
59.0ms	(/ (- 1.0 m) (sqrt v))
69.0ms	(* (/ (- 1.0 m) (sqrt v)) (/ m (sqrt v)))

simplify2.8s

Counts

220 → 220

Iterations

Iter	Nodes
done	5002
2	2908
1	851
0	296

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

802.0ms	13616×	body	80	valid
349.0ms	13616×	pre	80	true