Details

sample158.0ms

Algorithm

intervals

Results

46.0ms	130×	body	160	valid
35.0ms	517×	pre	80	true
34.0ms	261×	body	80	nan
18.0ms	126×	body	80	valid

simplify110.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	102
7	102
6	101
5	99
4	91
3	73
2	41
1	22
0	12

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 a) c)
0.3b	(- (* b b) (* (* 3 a) c))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
26.1b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 97

Calls

4 calls:

27.0ms	(* (* 3 a) c)
16.0ms	(- (* b b) (* (* 3 a) c))
54.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
14.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series389.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* 3 a) c)
60.0ms	(- (* b b) (* (* 3 a) c))
156.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
138.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify6.2s

Counts

109 → 109

Iterations

Iter	Nodes
3	6255
2	1596
1	466
0	170

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune78.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 10.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.3b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 87

Calls

3 calls:

13.0ms	(/ (* a c) b)
13.0ms	(* -3/2 (/ (* a c) b))
18.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series101.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* a c) b)
42.0ms	(* -3/2 (/ (* a c) b))
23.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.2s

Counts

96 → 96

Iterations

Iter	Nodes
3	16672
2	1918
1	379
0	132

prune842.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 9.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* 3/2 (* c a)) b)
0.3b	(* 3/2 (* c a))
0.3b	(/ (/ (* 3/2 (* c a)) b) (* -3 a))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`cbrt-undiv` `div-exp`
16×	`times-frac` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `associate-/l*`
4×	`associate-/r*` `div-inv`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`associate-r` `*-commutative` `associate-/l/`

Counts

3 → 92

Calls

3 calls:

37.0ms	(/ (* 3/2 (* c a)) b)
26.0ms	(* 3/2 (* c a))
24.0ms	(/ (/ (* 3/2 (* c a)) b) (* -3 a))

series99.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (* 3/2 (* c a)) b)
29.0ms	(* 3/2 (* c a))
28.0ms	(/ (/ (* 3/2 (* c a)) b) (* -3 a))

simplify19.6s

Counts

101 → 101

Iterations

Iter	Nodes
3	20004
2	1770
1	382
0	147

prune703.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.8b

regimes1.3s

Accuracy

59.5% (5.4b remaining)

Error of 14.5b against oracle of 9.1b and baseline of 22.4b

bsearch4.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	41
1	41
0	31

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.4s	16564×	pre	80	true
1.4s	8564×	body	80	nan
1.2s	4519×	body	160	valid
388.0ms	3481×	body	80	valid