Details

sample221.0ms

Algorithm

intervals

Results

75.0ms	119×	body	320	valid
38.0ms	259×	body	80	nan
37.0ms	515×	pre	80	true
28.0ms	95×	body	160	valid
8.0ms	13×	body	640	valid
4.0ms	29×	body	80	valid

simplify152.0ms

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.4b

localize46.0ms

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))
0.3b	(* (* 3 a) c)
25.6b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite185.0ms

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:

17.0ms	(- (* b b) (* (* 3 a) c))
97.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
31.0ms	(* (* 3 a) c)
38.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* b b) (* (* 3 a) c))
126.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
26.0ms	(* (* 3 a) c)
128.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify6.0s

Counts

109 → 109

Iterations

Iter	Nodes
3	6670
2	1614
1	465
0	170

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize12.0ms

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

prune50.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize36.0ms

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))

rewrite55.0ms

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:

17.0ms	(/ (* a c) b)
15.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series88.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* a c) b)
41.0ms	(* -3/2 (/ (* a c) b))
24.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.5s

Counts

96 → 96

Iterations

Iter	Nodes
3	16378
2	1907
1	377
0	132

prune770.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (expm1 (log1p (/ (* a c) b))))
0.3b	(expm1 (log1p (/ (* a c) b)))
0.3b	(/ (* -3/2 (expm1 (log1p (/ (* a c) b)))) (* 3 a))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

10.0ms	(/ (* a c) b)
6.0ms	(* -3/2 (expm1 (log1p (/ (* a c) b))))
0.0ms	(expm1 (log1p (/ (* a c) b)))
23.0ms	(/ (* -3/2 (expm1 (log1p (/ (* a c) b)))) (* 3 a))

series424.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* a c) b)
144.0ms	(* -3/2 (expm1 (log1p (/ (* a c) b))))
123.0ms	(expm1 (log1p (/ (* a c) b)))
131.0ms	(/ (* -3/2 (expm1 (log1p (/ (* a c) b)))) (* 3 a))

simplify5.4s

Counts

93 → 93

Iterations

Iter	Nodes
3	9536
2	1508
1	385
0	158

prune898.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.6b

regimes720.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample6.1s

Algorithm

intervals

Results

1.6s	3631×	body	320	valid
1.2s	2912×	body	160	valid
1.0s	16004×	pre	80	true
906.0ms	8004×	body	80	nan
268.0ms	494×	body	640	valid
137.0ms	963×	body	80	valid