Details

sample111.0ms

Algorithm

intervals

Results

32.0ms	157×	body	160	valid
25.0ms	294×	body	80	nan
25.0ms	550×	pre	80	true
9.0ms	99×	body	80	valid

simplify139.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
29.1b	(+ (- 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:

11.0ms	(- (* b b) (* (* 3 a) c))
14.0ms	(* (* 3 a) c)
73.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
14.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* b b) (* (* 3 a) c))
36.0ms	(* (* 3 a) c)
137.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
129.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.9s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
2	1589
1	468
0	170

prune633.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.9b

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
done	0
0	0

prune88.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite59.0ms

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:

18.0ms	(/ (* a c) b)
22.0ms	(* -3/2 (/ (* a c) b))
18.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series123.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (* a c) b)
47.0ms	(* -3/2 (/ (* a c) b))
41.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5081
2	2257
1	396
0	132

prune446.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 9.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
0.3b	(/ (* a c) b)
0.4b	(/ (* 3 a) (/ (* a c) b))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

92×	`times-frac`
58×	`add-cbrt-cube` `add-exp-log`
34×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
29×	`cbrt-undiv` `div-exp`
22×	`associate-/r*`
13×	`div-inv`
11×	`prod-exp` `cbrt-unprod`
6×	`associate-/r/`
5×	`associate-/l*`
3×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

3 → 144

Calls

3 calls:

11.0ms	(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
23.0ms	(/ (* a c) b)
23.0ms	(/ (* 3 a) (/ (* a c) b))

series78.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
26.0ms	(/ (* a c) b)
25.0ms	(/ (* 3 a) (/ (* a c) b))

simplify1.7s

Counts

153 → 153

Iterations

Iter	Nodes
done	5005
2	2907
1	664
0	232

prune579.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 9.8b

regimes1.2s

Accuracy

57.1% (5.8b remaining)

Error of 14.9b against oracle of 9.1b and baseline of 22.6b

bsearch4.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	41
1	41
0	31

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.1s	4501×	body	160	valid
1.1s	8640×	body	80	nan
988.0ms	16640×	pre	80	true
499.0ms	3499×	body	80	valid