Details

sample146.0ms

Algorithm

intervals

Results

28.0ms	460×	body	80	valid
13.0ms	460×	pre	80	true

simplify1.4s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

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

rewrite245.0ms

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:

40.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
21.0ms	(* m (- 1.0 m))
29.0ms	(/ (* m (- 1.0 m)) v)
148.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series219.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
56.0ms	(* m (- 1.0 m))
75.0ms	(/ (* m (- 1.0 m)) v)
59.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify957.0ms

Counts: 109 → 109

prune324.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite590.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
128×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`difference-of-squares`
19×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`sub-neg`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 191

Calls

4 calls:

11.0ms	(/ v (- 1.0 m))
138.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
22.0ms	(/ m (/ v (- 1.0 m)))
410.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series180.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ v (- 1.0 m))
31.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
57.0ms	(/ m (/ v (- 1.0 m)))
38.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify1.5s

Counts: 203 → 203

prune555.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
0.0b	(/ 1 (- 1.0 m))
0.1b	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
0.1b	(/ (/ m v) (/ 1 (- 1.0 m)))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

722×	`times-frac`
442×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
296×	`add-cube-cbrt`
61×	`difference-of-squares`
49×	`distribute-lft-out--`
38×	`div-inv`
32×	`add-exp-log`
31×	`associate-/r/`
26×	`associate-/r*`
22×	`flip3--` `flip--`
20×	`add-cbrt-cube`
18×	`div-exp`
16×	`associate-/l*`
11×	`associate-l`
9×	`cbrt-undiv`
7×	`pow1`
6×	`add-log-exp`
5×	`associate-r`
4×	`frac-times`
3×	`sub-neg` `rec-exp` `1-exp`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-flip` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 432

Calls

4 calls:

334.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
12.0ms	(/ 1 (- 1.0 m))
1.1s	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
37.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0)
29.0ms	(/ 1 (- 1.0 m))
43.0ms	(* (- (/ (/ m v) (/ 1 (- 1.0 m))) 1.0) (- 1.0 m))
79.0ms	(/ (/ m v) (/ 1 (- 1.0 m)))

simplify1.0s

Counts: 444 → 444

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
0.1b	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) (- 1.0 m))
11.8b	(/ (pow m 2) v)

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-exp-log` `associate-*r/`
9×	`flip3--` `flip--`
8×	`frac-times` `frac-sub` `associate-/l*` `add-log-exp`
7×	`add-cbrt-cube`
5×	`pow1` `associate-r`
4×	`flip3-+` `associate-*l/` `flip-+` `unpow2` `sqr-pow`
3×	`sub-neg` `div-exp` `associate-l` `associate-/r*`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `associate--r+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 103

Calls

3 calls:

42.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
224.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) (- 1.0 m))
9.0ms	(/ (pow m 2) v)

series98.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v)))
45.0ms	(* (- (* 1.0 (/ m v)) (+ 1.0 (/ (pow m 2) v))) (- 1.0 m))
20.0ms	(/ (pow m 2) v)

simplify1.1s

Counts: 112 → 112

prune402.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.8s

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s	13746×	body	80	valid
348.0ms	13746×	pre	80	true