Details

sample105.0ms

Algorithm

intervals

Results

14.0ms	448×	body	80	valid
8.0ms	448×	pre	80	true

simplify70.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

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:

25.0ms	(* m (- 1.0 m))
22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
18.0ms	(/ (* m (- 1.0 m)) v)
102.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series170.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* m (- 1.0 m))
25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
46.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify55.0ms

Counts: 109 → 109

prune216.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

46.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
19.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(/ (* m (- 1.0 m)) v)
83.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series170.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
44.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify64.0ms

Counts: 106 → 106

prune266.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
0.0b	(/ (* m (- 1.0 m)) v)
7.5b	(/ (pow m 3) v)
11.5b	(/ (pow m 2) v)

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod`
9×	`associate-/r*` `add-log-exp`
8×	`div-exp` `sqr-pow`
4×	`pow1` `cbrt-undiv` `cube-mult` `unpow3` `associate-*r/` `unpow2`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`pow-to-exp` `flip3--` `diff-log` `pow-exp` `frac-sub` `flip--` `associate-/l/`
1×	`sub-neg` `flip3-+` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 153

Calls

4 calls:

192.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
17.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(/ (pow m 3) v)
10.0ms	(/ (pow m 2) v)

series124.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
44.0ms	(/ (* m (- 1.0 m)) v)
23.0ms	(/ (pow m 3) v)
21.0ms	(/ (pow m 2) v)

simplify94.0ms

Counts: 165 → 165

prune448.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

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) (- 1.0 m))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 154

Calls

3 calls:

101.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
18.0ms	(/ m (/ v (- 1.0 m)))
320.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series114.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
45.0ms	(/ m (/ v (- 1.0 m)))
42.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify75.0ms

Counts: 163 → 163

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

590.0ms	13645×	pre	80	true
499.0ms	13645×	body	80	valid