Details

sample151.0ms

Algorithm

intervals

Results

26.0ms	438×	body	80	valid
14.0ms	438×	pre	80	true

simplify4.1s

Counts: 1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*`
11×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`sub-neg`
5×	`pow1` `associate-r`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate--l+` `flip--`
3×	`insert-posit16`
2×	`frac-times` `distribute-rgt-out--` `diff-log` `prod-exp` `associate-*r/` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

3 → 75

Calls

3 calls:

Slowest

37.0ms	(* (/ m v) (- m (* m m)))
26.0ms	(- (* (/ m v) (- m (* m m))) m)
9.0ms	(- m (* m m))

series152.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

68.0ms	(* (/ m v) (- m (* m m)))
54.0ms	(- m (* m m))
30.0ms	(- (* (/ m v) (- m (* m m))) m)

simplify1.2s

Counts: 84 → 84

prune672.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l` `add-cube-cbrt`
9×	`associate-r`
8×	`pow1`
6×	`add-log-exp` `difference-of-squares`
4×	`flip3--` `associate-*r/` `insert-posit16` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `difference-of-sqr-1` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `associate-/l*`

Counts

4 → 94

Calls

4 calls:

Slowest

65.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
14.0ms	(* m (- 1 m))
13.0ms	(- (/ (* m (- 1 m)) v) 1)
13.0ms	(/ (* m (- 1 m)) v)

series205.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(* m (- 1 m))
44.0ms	(/ (* m (- 1 m)) v)
41.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
33.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify1.4s

Counts: 106 → 106

prune662.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ v (* m (- 1 m))))
0.2b	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
0.1b	(/ v (* m (- 1 m)))
0.0b	(* m (- 1 m))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
48×	`times-frac`
40×	`*-un-lft-identity`
34×	`add-exp-log`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube`
17×	`associate-l`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
9×	`pow1` `associate-r`
8×	`difference-of-squares`
7×	`cbrt-undiv` `flip3--` `div-inv` `flip--`
6×	`prod-exp` `associate-/l*`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-sqr-1` `distribute-lft-out--`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 149

Calls

4 calls:

Slowest

166.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
38.0ms	(/ 1 (/ v (* m (- 1 m))))
28.0ms	(* m (- 1 m))
10.0ms	(/ v (* m (- 1 m)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(* m (- 1 m))
62.0ms	(/ 1 (/ v (* m (- 1 m))))
54.0ms	(/ v (* m (- 1 m)))
48.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)

simplify2.6s

Counts: 161 → 161

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- m (* m m)))
0.6b	(cbrt (- m (* m m)))
0.6b	(cbrt (- m (* m m)))
0.5b	(* (cbrt (- m (* m m))) (cbrt (- m (* m m))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
8×	`swap-sqr` `associate-r` `associate-l`
7×	`distribute-rgt-out--` `difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

Slowest

40.0ms	(* (cbrt (- m (* m m))) (cbrt (- m (* m m))))
2.0ms	(cbrt (- m (* m m)))
2.0ms	(cbrt (- m (* m m)))
2.0ms	(cbrt (- m (* m m)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(* (cbrt (- m (* m m))) (cbrt (- m (* m m))))
63.0ms	(cbrt (- m (* m m)))
62.0ms	(cbrt (- m (* m m)))
56.0ms	(cbrt (- m (* m m)))

simplify1.1s

Counts: 115 → 115

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13674×	body	80	valid
663.0ms	13674×	pre	80	true