Details

sample120.0ms

Algorithm

intervals

Results

29.0ms	423×	body	80	valid
14.0ms	423×	pre	80	true

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
6	2954
5	1000
4	312
3	99
2	39
1	17
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
10×	`associate-l` `add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `insert-posit16` `distribute-lft-out--`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `difference-of-sqr-1` `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 → 107

Calls

4 calls:

25.0ms	(- (/ (* m (- 1 m)) v) 1)
15.0ms	(* m (- 1 m))
18.0ms	(/ (* m (- 1 m)) v)
91.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series203.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ (* m (- 1 m)) v) 1)
76.0ms	(* m (- 1 m))
45.0ms	(/ (* m (- 1 m)) v)
53.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify5.2s

Counts

119 → 119

Iterations

Iter	Nodes
3	5043
2	1301
1	415
0	160

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`associate-l`
14×	`add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
10×	`times-frac`
9×	`associate-r`
8×	`pow1` `flip3--` `flip--`
6×	`difference-of-squares`
5×	`sub-neg` `associate-*l/`
4×	`frac-times` `diff-log` `insert-posit16`
3×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `difference-of-sqr-1` `pow-prod-down` `associate--l+` `associate-r/` `-commutative`
1×	`associate--l-` `cbrt-undiv` `div-exp` `frac-sub` `div-inv` `sub-div`

Counts

4 → 107

Calls

4 calls:

78.0ms	(- (- (/ m v) (* (/ m v) m)) 1)
24.0ms	(- (/ m v) (* (/ m v) m))
184.0ms	(* (- (- (/ m v) (* (/ m v) m)) 1) (- 1 m))
10.0ms	(* (/ m v) m)

series143.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (- (/ m v) (* (/ m v) m)) 1)
44.0ms	(- (/ m v) (* (/ m v) m))
49.0ms	(* (- (- (/ m v) (* (/ m v) m)) 1) (- 1 m))
21.0ms	(* (/ m v) m)

simplify7.5s

Counts

119 → 119

Iterations

Iter	Nodes
3	6915
2	1520
1	452
0	179

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.1b	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
0.1b	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
30×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`flip3--` `flip--`
20×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`associate-l` `add-cube-cbrt`
8×	`difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`sub-neg` `sqrt-prod` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

4 → 142

Calls

4 calls:

31.0ms	(* m (- 1 m))
26.0ms	(/ (* m (- 1 m)) v)
152.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
111.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* m (- 1 m))
36.0ms	(/ (* m (- 1 m)) v)
374.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
120.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

simplify2.9s

Counts

154 → 154

Iterations

Iter	Nodes
2	3696
1	832
0	246

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
0.1b	(cbrt (- 1 m))
0.1b	(cbrt (- 1 m))
0.1b	(cbrt (- 1 m))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

57.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
6.0ms	(cbrt (- 1 m))
6.0ms	(cbrt (- 1 m))
6.0ms	(cbrt (- 1 m))

series223.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
55.0ms	(cbrt (- 1 m))
51.0ms	(cbrt (- 1 m))
66.0ms	(cbrt (- 1 m))

simplify1.6s

Counts

123 → 123

Iterations

Iter	Nodes
4	3215
3	1381
2	606
1	294
0	140

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	11
1	11
0	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	13825×	body	80	valid
616.0ms	13825×	pre	80	true