Details

sample99.0ms

Algorithm

intervals

Results

23.0ms	144×	body	160	valid
20.0ms	530×	pre	80	true
20.0ms	274×	body	80	nan
12.0ms	51×	body	320	valid
5.0ms	61×	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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.8b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3 a) c))
0.2b	(* (* 3 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
36.0b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite105.0ms

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:

8.0ms	(- (* b b) (* (* 3 a) c))
14.0ms	(* (* 3 a) c)
57.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
25.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* b b) (* (* 3 a) c))
21.0ms	(* (* 3 a) c)
141.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
128.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.2s

Counts

109 → 109

Iterations

Iter	Nodes
done	2001
3	2001
2	1589
1	468
0	170

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.1b

localize7.0ms

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

prune73.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

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:

19.0ms	(/ (* a c) b)
26.0ms	(* -3/2 (/ (* a c) b))
33.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series109.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (* a c) b)
46.0ms	(* -3/2 (/ (* a c) b))
26.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify893.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2001
2	2001
1	396
0	132

prune956.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 5.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(/ a (/ (* a c) b))
0.3b	(/ 1 (* -2 (/ a (/ (* a c) b))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
39×	`times-frac`
37×	`add-cbrt-cube`
32×	`div-exp`
23×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`cbrt-undiv` `prod-exp`
11×	`associate-/r*`
7×	`cbrt-unprod` `div-inv` `associate-/l*`
6×	`pow1`
5×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `pow-flip`
1×	`pow-prod-down` `associate-*r/` `inv-pow`

Counts

3 → 119

Calls

3 calls:

9.0ms	(/ (* a c) b)
10.0ms	(/ a (/ (* a c) b))
37.0ms	(/ 1 (* -2 (/ a (/ (* a c) b))))

series96.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (* a c) b)
18.0ms	(/ a (/ (* a c) b))
41.0ms	(/ 1 (* -2 (/ a (/ (* a c) b))))

simplify1.4s

Counts

128 → 128

Iterations

Iter	Nodes
done	2118
3	2118
2	1802
1	502
0	191

prune946.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 5.0b

regimes1.0s

Accuracy

21.9% (5.0b remaining)

Error of 10.1b against oracle of 5.1b and baseline of 11.5b

bsearch3.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	64
1	64
0	50

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.4s	8060×	body	80	nan
1.3s	4893×	body	160	valid
1.1s	16060×	pre	80	true
958.0ms	1393×	body	320	valid
199.0ms	1714×	body	80	valid