Details

sample78.0ms

Algorithm

intervals

Results

15.0ms	448×	body	80	valid
8.0ms	448×	pre	80	true

simplify106.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

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) m)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `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 → 85

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
21.0ms	(* m (- 1.0 m))
17.0ms	(/ (* m (- 1.0 m)) v)
78.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series177.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
49.0ms	(* m (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)
49.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify44.0ms

Counts: 97 → 97

prune190.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

129×	`times-frac`
107×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
63×	`add-cube-cbrt`
21×	`associate-/r*`
18×	`difference-of-squares`
14×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--`
5×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-/l*`
2×	`associate-*l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 142

Calls

3 calls:

98.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
18.0ms	(/ m (/ v (- 1.0 m)))
295.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series113.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
47.0ms	(/ m (/ v (- 1.0 m)))
40.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify70.0ms

Counts: 151 → 151

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ 1 (/ v (- 1.0 m)))) 1.0)
0.0b	(/ 1 (/ v (- 1.0 m)))
0.1b	(* (- (* m (/ 1 (/ v (- 1.0 m)))) 1.0) m)
0.3b	(* m (/ 1 (/ v (- 1.0 m))))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
172×	`add-sqr-sqrt`
158×	`*-un-lft-identity`
114×	`add-cube-cbrt`
71×	`associate-r`
36×	`add-exp-log`
21×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
16×	`associate-/r/`
14×	`div-exp`
9×	`pow1` `flip3--` `flip--` `div-inv`
8×	`prod-exp`
6×	`cbrt-undiv` `associate-l` `add-log-exp` `unswap-sqr`
4×	`rec-exp` `1-exp` `cbrt-unprod`
3×	`associate-/l*`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 237

Calls

4 calls:

22.0ms	(- (* m (/ 1 (/ v (- 1.0 m)))) 1.0)
19.0ms	(/ 1 (/ v (- 1.0 m)))
83.0ms	(* (- (* m (/ 1 (/ v (- 1.0 m)))) 1.0) m)
58.0ms	(* m (/ 1 (/ v (- 1.0 m))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* m (/ 1 (/ v (- 1.0 m)))) 1.0)
34.0ms	(/ 1 (/ v (- 1.0 m)))
40.0ms	(* (- (* m (/ 1 (/ v (- 1.0 m)))) 1.0) m)
46.0ms	(* m (/ 1 (/ v (- 1.0 m))))

simplify95.0ms

Counts: 249 → 249

prune437.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1.0 m)))) 1.0) m)
0.2b	(/ 1 (sqrt v))
0.2b	(/ m (/ (sqrt v) (- 1.0 m)))
0.4b	(* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1.0 m))))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

503×	`times-frac`
386×	`add-sqr-sqrt`
319×	`*-un-lft-identity`
227×	`add-cube-cbrt`
139×	`sqrt-prod`
116×	`associate-r`
54×	`add-exp-log`
42×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
34×	`add-cbrt-cube`
25×	`associate-l`
23×	`div-exp`
21×	`unswap-sqr`
16×	`associate-/r/`
13×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
10×	`pow1`
8×	`flip3--` `flip--`
7×	`cbrt-unprod`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow-flip` `associate-*l/`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*r/` `inv-pow`

Counts

4 → 412

Calls

4 calls:

125.0ms	(* (- (* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1.0 m)))) 1.0) m)
7.0ms	(/ 1 (sqrt v))
21.0ms	(/ m (/ (sqrt v) (- 1.0 m)))
115.0ms	(* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1.0 m))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (- (* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1.0 m)))) 1.0) m)
29.0ms	(/ 1 (sqrt v))
67.0ms	(/ m (/ (sqrt v) (- 1.0 m)))
52.0ms	(* (/ 1 (sqrt v)) (/ m (/ (sqrt v) (- 1.0 m))))

simplify66.0ms

Counts: 424 → 424

prune946.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

895.0ms	13645×	body	80	valid
242.0ms	13645×	pre	80	true