Details

sample283.0ms

Algorithm

intervals

Results

25.0ms	385×	body	80	valid
12.0ms	385×	pre	80	true

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4269
5	937
4	310
3	98
2	38
1	16
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r` `add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*` `times-frac` `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` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

17.0ms	(* m (- 1.0 m))
21.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
26.0ms	(/ (* m (- 1.0 m)) v)
147.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series212.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* m (- 1.0 m))
26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
45.0ms	(/ (* m (- 1.0 m)) v)
58.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5004
2	1562
1	424
0	155

prune625.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
10×	`associate-l`
6×	`pow1` `associate-/r` `times-frac` `associate-r/` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
3×	`distribute-lft-neg-in` `sub-neg` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-lft-neg-out` `neg-mul-1` `diff-log` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

33.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
26.0ms	(/ (* m (- 1.0 m)) v)
20.0ms	(/ (* m (- 1.0 m)) v)
61.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series174.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
41.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify1.6s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1399
1	372
0	130

prune671.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
112×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
68×	`add-cube-cbrt`
24×	`associate-/r*`
18×	`difference-of-squares`
16×	`add-cbrt-cube` `add-exp-log`
14×	`distribute-lft-out--`
10×	`associate-l`
9×	`associate-/r/`
7×	`flip3--` `associate-r` `flip--`
6×	`pow1` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-r/` `associate-/l`
3×	`distribute-lft-neg-in` `sub-neg` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-mul-1` `diff-log` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 177

Calls

4 calls:

135.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
13.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(/ m (/ v (- 1.0 m)))
310.0ms	(* (- m) (- (/ m (/ v (- 1.0 m))) 1.0))

series199.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
65.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(/ m (/ v (- 1.0 m)))
51.0ms	(* (- m) (- (/ m (/ v (- 1.0 m))) 1.0))

simplify1.9s

Counts

189 → 189

Iterations

Iter	Nodes
done	5000
2	3155
1	850
0	308

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (* m m) m)
8.9b	(/ (* (* m m) m) v)
12.3b	(/ (* m m) v)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-cbrt-cube` `add-exp-log`
23×	`pow1`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-/r*` `times-frac`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow-plus` `pow-prod-up`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down` `div-inv` `associate-/l*`
2×	`pow2` `associate-*r/` `pow-sqr` `associate-/l/`
1×	`flip3--` `associate-l` `pow3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

23.0ms	(/ (* m (- 1.0 m)) v)
27.0ms	(* (* m m) m)
24.0ms	(/ (* (* m m) m) v)
8.0ms	(/ (* m m) v)

series178.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (* m (- 1.0 m)) v)
53.0ms	(* (* m m) m)
36.0ms	(/ (* (* m m) m) v)
22.0ms	(/ (* m m) v)

simplify1.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1683
1	394
0	128

prune541.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	25
3	25
2	24
1	20
0	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	13702×	body	80	valid
306.0ms	13702×	pre	80	true