Details

sample516.0ms

Algorithm

intervals

Results

37.0ms	460×	body	80	valid
19.0ms	460×	pre	80	true

simplify1.9s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite246.0ms

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:

35.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
43.0ms	(* m (- 1.0 m))
34.0ms	(/ (* m (- 1.0 m)) v)
130.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series205.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
56.0ms	(* m (- 1.0 m))
57.0ms	(/ (* m (- 1.0 m)) v)
67.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify827.0ms

Counts: 97 → 97

prune269.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.2b	(* m (/ (- 1.0 m) v))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`associate-/l*`
3×	`flip3--` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 108

Calls

4 calls:

23.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
16.0ms	(/ (- 1.0 m) v)
92.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
34.0ms	(* m (/ (- 1.0 m) v))

series208.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
59.0ms	(/ (- 1.0 m) v)
53.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
53.0ms	(* m (/ (- 1.0 m) v))

simplify907.0ms

Counts: 120 → 120

prune300.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite443.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
69×	`add-sqr-sqrt`
61×	`sqrt-prod`
59×	`*-un-lft-identity`
55×	`add-cube-cbrt`
22×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
11×	`associate-/l*`
10×	`associate-l`
9×	`div-inv`
8×	`pow1` `associate-r`
7×	`cbrt-undiv` `div-exp`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--` `associate-/l/`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

24.0ms	(* m (- 1.0 m))
335.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
35.0ms	(/ (* m (- 1.0 m)) (sqrt v))
41.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series323.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* m (- 1.0 m))
66.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
94.0ms	(/ (* m (- 1.0 m)) (sqrt v))
67.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify1.5s

Counts: 184 → 184

prune569.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
0.0b	(- (/ (pow m 2) v) m)
8.8b	(/ (pow m 3) v)
11.8b	(/ (pow m 2) v)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
58×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
25×	`unpow-prod-down`
20×	`associate-/l*`
14×	`add-exp-log`
12×	`cube-prod`
9×	`sqr-pow`
8×	`add-cbrt-cube` `add-log-exp`
6×	`div-exp` `associate-/r*`
5×	`unpow2` `difference-of-squares`
4×	`pow1` `cube-mult` `sub-neg` `unpow3` `associate--l+`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `clear-num` `frac-sub` `div-inv`
1×	`distribute-lft-out--`

Counts

4 → 150

Calls

4 calls:

60.0ms	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
50.0ms	(- (/ (pow m 2) v) m)
10.0ms	(/ (pow m 3) v)
9.0ms	(/ (pow m 2) v)

series163.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* 1.0 (- (/ (pow m 2) v) m)) (/ (pow m 3) v))
33.0ms	(- (/ (pow m 2) v) m)
38.0ms	(/ (pow m 3) v)
36.0ms	(/ (pow m 2) v)

simplify1.2s

Counts: 162 → 162

prune440.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.4s

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13746×	body	80	valid
379.0ms	13746×	pre	80	true