Details

sample194.0ms

Algorithm

intervals

Results

49.0ms	258×	body	80	nan
46.0ms	119×	body	320	valid
32.0ms	514×	pre	80	true
25.0ms	94×	body	160	valid
9.0ms	17×	body	640	valid
4.0ms	26×	body	80	valid

simplify106.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.2b	(* (* 3 a) c)
25.5b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite144.0ms

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:

18.0ms	(- (* b b) (* (* 3 a) c))
78.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
17.0ms	(* (* 3 a) c)
29.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series414.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* b b) (* (* 3 a) c))
183.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
37.0ms	(* (* 3 a) c)
125.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.2s

Counts

109 → 109

Iterations

Iter	Nodes
done	2000
3	2000
2	1591
1	468
0	170

prune521.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize8.0ms

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

prune44.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.5b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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:

11.0ms	(/ (* a c) b)
25.0ms	(* -3/2 (/ (* a c) b))
27.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series84.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (* a c) b)
29.0ms	(* -3/2 (/ (* a c) b))
26.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify772.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2001
2	2001
1	396
0	132

prune429.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.4b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

10.0ms	(/ (* a c) b)
9.0ms	(/ (* a c) b)
61.0ms	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
62.0ms	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

series204.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* a c) b)
22.0ms	(/ (* a c) b)
86.0ms	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
71.0ms	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

simplify943.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2001
2	2001
1	419
0	148

prune556.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.4b

regimes688.0ms

Accuracy

0% (3.5b remaining)

Error of 6.3b against oracle of 2.8b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample6.0s

Algorithm

intervals

Results

1.9s	3656×	body	320	valid
1.4s	16245×	pre	80	true
975.0ms	8245×	body	80	nan
835.0ms	2956×	body	160	valid
236.0ms	464×	body	640	valid
134.0ms	924×	body	80	valid