Details

sample108.0ms

Algorithm

intervals

Results

22.0ms	465×	body	80	valid
11.0ms	465×	pre	80	true

simplify2.0s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize67.0ms

Local error

Found 3 expressions with local error:

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

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

21.0ms	(* m (- 1.0 m))
20.0ms	(/ (* m (- 1.0 m)) v)
157.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series218.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* m (- 1.0 m))
57.0ms	(/ (* m (- 1.0 m)) v)
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify776.0ms

Counts: 80 → 80

prune228.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* 1 (* m (- 1.0 m))) v)
0.2b	(* (- (/ (* 1 (* m (- 1.0 m))) v) 1.0) m)

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

27.0ms	(* m (- 1.0 m))
71.0ms	(/ (* 1 (* m (- 1.0 m))) v)
205.0ms	(* (- (/ (* 1 (* m (- 1.0 m))) v) 1.0) m)

series185.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* m (- 1.0 m))
52.0ms	(/ (* 1 (* m (- 1.0 m))) v)
58.0ms	(* (- (/ (* 1 (* m (- 1.0 m))) v) 1.0) m)

simplify794.0ms

Counts: 84 → 84

prune233.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

33.0ms	(/ (- 1.0 m) v)
106.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
61.0ms	(* m (/ (- 1.0 m) v))

series138.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (- 1.0 m) v)
56.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
48.0ms	(* m (/ (- 1.0 m) v))

simplify732.0ms

Counts: 105 → 105

prune285.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite780.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
27×	`add-cbrt-cube`
23×	`add-sqr-sqrt`
17×	`-un-lft-identity` `associate-l*` `prod-exp`
13×	`pow1` `add-cube-cbrt`
12×	`associate-*r/`
11×	`cbrt-unprod`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
7×	`div-exp` `sqrt-prod`
6×	`sub-neg`
5×	`pow-prod-down`
4×	`cbrt-undiv` `flip3--` `flip--` `add-log-exp`
3×	`times-frac` `1-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`associate-*l/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 113

Calls

4 calls:

152.0ms	(/ (* 1 (* (sqrt m) (* (sqrt m) (- 1.0 m)))) v)
26.0ms	(* (sqrt m) (- 1.0 m))
539.0ms	(* (- (/ (* 1 (* (sqrt m) (* (sqrt m) (- 1.0 m)))) v) 1.0) m)
59.0ms	(* (sqrt m) (* (sqrt m) (- 1.0 m)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (* 1 (* (sqrt m) (* (sqrt m) (- 1.0 m)))) v)
61.0ms	(* (sqrt m) (- 1.0 m))
76.0ms	(* (- (/ (* 1 (* (sqrt m) (* (sqrt m) (- 1.0 m)))) v) 1.0) m)
52.0ms	(* (sqrt m) (* (sqrt m) (- 1.0 m)))

simplify1.2s

Counts: 125 → 125

prune321.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

-0.9% (0.2b remaining)

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

bsearch0.0ms

simplify5.2s

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13795×	body	80	valid
350.0ms	13795×	pre	80	true