Details

sample113.0ms

Algorithm

intervals

Results

21.0ms	141×	body	160	valid
18.0ms	256×	body	80	nan
17.0ms	512×	pre	80	true
9.0ms	115×	body	80	valid

simplify355.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
7	102
6	101
5	99
4	91
3	75
2	40
1	22
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.4b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite233.0ms

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:

23.0ms	(* (* 3.0 a) c)
14.0ms	(- (* b b) (* (* 3.0 a) c))
153.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* 3.0 a) c)
103.0ms	(- (* b b) (* (* 3.0 a) c))
216.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
157.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify3.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	1564
1	465
0	171

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.4b

localize17.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune214.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.4b

localize51.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite116.0ms

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:

25.0ms	(/ (* a c) b)
38.0ms	(* -1.5 (/ (* a c) b))
41.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series155.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (* a c) b)
52.0ms	(* -1.5 (/ (* a c) b))
53.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify3.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5018
2	2326
1	409
0	132

prune1.3s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 10.3b

localize36.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ a (/ b c))
0.3b	(* -1.5 (/ a (/ b c)))
0.4b	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 175

Calls

3 calls:

25.0ms	(/ a (/ b c))
52.0ms	(* -1.5 (/ a (/ b c)))
28.0ms	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series152.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ a (/ b c))
58.0ms	(* -1.5 (/ a (/ b c)))
56.0ms	(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify4.9s

Counts

184 → 184

Iterations

Iter	Nodes
done	5015
2	3324
1	776
0	275

prune2.2s

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 10.3b

regimes4.1s

Accuracy

60.9% (5.4b remaining)

Error of 14.3b against oracle of 9.0b and baseline of 22.7b

bsearch14.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	26
1	26
0	22

end0.0ms

sample3.3s

Algorithm

intervals

Results

960.0ms	4462×	body	160	valid
771.0ms	16742×	pre	80	true
624.0ms	8742×	body	80	nan
227.0ms	3538×	body	80	valid