Details

sample244.0ms

Algorithm

intervals

Results

63.0ms	405×	body	80	valid
16.0ms	405×	pre	80	true

simplify101.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

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) (- 1.0 m))

rewrite419.0ms

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:

26.0ms	(* m (- 1.0 m))
32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
37.0ms	(/ (* m (- 1.0 m)) v)
318.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series208.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* m (- 1.0 m))
30.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
43.0ms	(/ (* m (- 1.0 m)) v)
57.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify71.0ms

Counts: 109 → 109

prune381.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
0.2b	(* m (/ (- 1.0 m) v))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

23.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
29.0ms	(/ (- 1.0 m) v)
76.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
36.0ms	(* m (/ (- 1.0 m) v))

series202.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
44.0ms	(/ (- 1.0 m) v)
59.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
55.0ms	(* m (/ (- 1.0 m) v))

simplify56.0ms

Counts: 132 → 132

prune413.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

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)))
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- m))
0.2b	(* m (/ (- 1.0 m) v))
0.2b	(* m (/ (- 1.0 m) v))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

46.0ms	(+ (* (- (* m (/ (- 1.0 m) v)) 1.0) 1.0) (* (- (* m (/ (- 1.0 m) v)) 1.0) (- m)))
76.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- m))
37.0ms	(* m (/ (- 1.0 m) v))
36.0ms	(* m (/ (- 1.0 m) v))

series224.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* (- (* m (/ (- 1.0 m) v)) 1.0) 1.0) (* (- (* m (/ (- 1.0 m) v)) 1.0) (- m)))
49.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- m))
58.0ms	(* m (/ (- 1.0 m) v))
62.0ms	(* m (/ (- 1.0 m) v))

simplify89.0ms

Counts: 134 → 134

prune489.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (* m (/ (- 1.0 m) v)) 1.0) 1.0) (- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v))))
0.2b	(* m (/ (- 1.0 m) v))
7.1b	(/ (pow m 3) v)
11.2b	(/ (pow m 2) v)

rewrite592.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
67×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
56×	`add-cube-cbrt`
24×	`unpow-prod-down`
20×	`associate-/l*`
19×	`add-exp-log` `associate-r`
13×	`add-cbrt-cube` `add-log-exp`
12×	`cube-prod`
8×	`associate-*l/` `frac-add` `sqr-pow`
7×	`div-exp`
6×	`pow1` `flip3--` `associate-/r*` `flip--`
5×	`associate-*r/`
4×	`cube-mult` `unpow3` `sum-log` `frac-sub` `unpow2`
3×	`cbrt-undiv` `associate-+r+` `flip3-+` `associate-l` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`pow-to-exp` `frac-2neg` `diff-log` `pow-exp` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `pow-prod-down` `associate--l+` `*-commutative`

Counts

4 → 177

Calls

4 calls:

505.0ms	(+ (* (- (* m (/ (- 1.0 m) v)) 1.0) 1.0) (- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v))))
38.0ms	(* m (/ (- 1.0 m) v))
19.0ms	(/ (pow m 3) v)
15.0ms	(/ (pow m 2) v)

series199.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* (- (* m (/ (- 1.0 m) v)) 1.0) 1.0) (- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v))))
68.0ms	(* m (/ (- 1.0 m) v))
34.0ms	(/ (pow m 3) v)
22.0ms	(/ (pow m 2) v)

simplify132.0ms

Counts: 189 → 189

prune840.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes73.0ms

Accuracy

-12.5% (0.1b remaining)

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

bsearch0.0ms

simplify78.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	13788×	body	80	valid
421.0ms	13788×	pre	80	true