Details

sample146.0ms

Algorithm

intervals

Results

18.0ms	405×	body	80	valid
11.0ms	405×	pre	80	true

simplify121.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite417.0ms

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:

77.0ms	(* m (- 1.0 m))
25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
28.0ms	(/ (* m (- 1.0 m)) v)
279.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series351.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* m (- 1.0 m))
49.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
73.0ms	(/ (* m (- 1.0 m)) v)
167.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify36.0ms

Counts: 97 → 97

prune457.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

22.0ms	(* v (+ 1.0 m))
32.0ms	(* m (- (* 1.0 1.0) (* m m)))
47.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
205.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series321.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* v (+ 1.0 m))
81.0ms	(* m (- (* 1.0 1.0) (* m m)))
113.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
73.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify69.0ms

Counts: 107 → 107

prune282.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

34.0ms	(- (* (/ (* m 1) v) (- 1.0 m)) 1.0)
54.0ms	(* (/ (* m 1) v) (- 1.0 m))
148.0ms	(* (- (* (/ (* m 1) v) (- 1.0 m)) 1.0) m)

series139.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* (/ (* m 1) v) (- 1.0 m)) 1.0)
43.0ms	(* (/ (* m 1) v) (- 1.0 m))
54.0ms	(* (- (* (/ (* m 1) v) (- 1.0 m)) 1.0) m)

simplify52.0ms

Counts: 83 → 83

prune218.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite490.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
42×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`add-exp-log`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
11×	`associate-/r/`
10×	`associate-r/` `associate-/r`
8×	`associate-l` `div-inv`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--`
6×	`associate-/l*` `add-log-exp` `difference-of-squares`
5×	`prod-exp`
4×	`distribute-lft-out--`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

86.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
17.0ms	(/ v (* m (- 1.0 m)))
327.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
52.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
77.0ms	(/ v (* m (- 1.0 m)))
74.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
85.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify60.0ms

Counts: 141 → 141

prune407.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0.8% (0.2b remaining)

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

bsearch0.0ms

simplify183.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

796.0ms	13788×	body	80	valid
397.0ms	13788×	pre	80	true