Details

sample141.0ms

Algorithm

intervals

Results

28.0ms	426×	body	80	valid
13.0ms	426×	pre	80	true

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	103	13
4	343	13
5	939	13
6	2377	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r`
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×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
184.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series211.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
68.0ms	(* m (- 1.0 m))
51.0ms	(/ (* m (- 1.0 m)) v)
57.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.2s

Counts

109 → 109

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	155	1545
1	397	1497
2	1453	1377
done	5001	1335

prune257.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

31.0ms	(* v (+ 1.0 m))
251.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
54.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
35.0ms	(* m (- (* 1.0 1.0) (* m m)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* v (+ 1.0 m))
69.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
102.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
101.0ms	(* m (- (* 1.0 1.0) (* m m)))

simplify1.8s

Counts

119 → 119

Iterations

Useful iterations: 2 (566.0ms)

Iter	Nodes	Cost
0	195	2366
1	560	2275
2	2590	1995
done	5000	1995

prune471.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

32.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
97.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))
38.0ms	(* (/ m v) (- 1.0 m))

series153.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
57.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))
65.0ms	(* (/ m v) (- 1.0 m))

simplify1.3s

Counts

99 → 99

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	157	1500
1	416	1459
2	1564	1337
done	5000	1319

prune338.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0)
0.0b	(* v (+ 1.0 m))
0.0b	(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
0.0b	(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))

rewrite690.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `flip3--` `associate-l` `flip--`
6×	`associate-*r/` `add-log-exp`
4×	`frac-times` `times-frac` `associate-/l*`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-out--` `flip3-+` `unpow3` `div-sub` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate--l-` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

136.0ms	(- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0)
22.0ms	(* v (+ 1.0 m))
479.0ms	(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
47.0ms	(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0)
54.0ms	(* v (+ 1.0 m))
87.0ms	(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
125.0ms	(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))

simplify1.4s

Counts

112 → 112

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	182	2265
1	500	2203
2	2019	2023
done	5000	1987

prune441.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	10	13
done	10	13

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s	13899×	body	80	valid
349.0ms	13899×	pre	80	true