Details

sample145.0ms

Algorithm

intervals

Results

46.0ms	385×	pre	80	true
22.0ms	385×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1353
4	359
3	105
2	40
1	16
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))

rewrite183.0ms

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:

32.0ms	(* m (- 1.0 m))
30.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
23.0ms	(/ (* m (- 1.0 m)) v)
92.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series196.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* m (- 1.0 m))
29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(/ (* m (- 1.0 m)) v)
70.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2225
1	430
0	155

prune559.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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 (- 1.0 m)) v) 1.0) (- m))

rewrite107.0ms

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

Counts

4 → 90

Calls

4 calls:

15.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
20.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(/ (* m (- 1.0 m)) v)
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series203.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
62.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(/ (* m (- 1.0 m)) v)
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify1.3s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1829
1	357
0	132

prune548.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`flip3--` `flip--`
6×	`distribute-lft-neg-out` `pow1` `associate-l`
5×	`distribute-rgt-out` `associate-r` `difference-of-squares`
4×	`frac-times` `div-sub` `associate-/l*`
3×	`associate-/r*` `sub-neg` `unsub-neg` `distribute-lft-out--`
2×	`associate--l-` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l/` `associate-r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

10.0ms	(+ (* 1.0 m) (* (- m) m))
50.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
34.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
197.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

series250.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (* 1.0 m) (* (- m) m))
43.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
67.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
65.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

simplify1.5s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2303
1	460
0	174

prune543.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(/ m (/ v (* m m)))
11.9b	(/ v (* m m))
12.3b	(/ (* 1.0 (* m m)) v)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
12×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
2×	`associate-*r/` `associate-/l/`
1×	`flip3--` `associate-/r/` `flip--`

Counts

4 → 115

Calls

4 calls:

24.0ms	(/ (* m (- 1.0 m)) v)
19.0ms	(/ m (/ v (* m m)))
12.0ms	(/ v (* m m))
38.0ms	(/ (* 1.0 (* m m)) v)

series203.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(/ m (/ v (* m m)))
45.0ms	(/ v (* m m))
51.0ms	(/ (* 1.0 (* m m)) v)

simplify2.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	3873
1	569
0	190

prune797.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

722.0ms	13702×	body	80	valid
426.0ms	13702×	pre	80	true