Details

sample166.0ms

Algorithm

intervals

Results

41.0ms	155×	body	160	valid
37.0ms	516×	pre	80	true
34.0ms	260×	body	80	nan
20.0ms	47×	body	320	valid
7.0ms	54×	body	80	valid

simplify116.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
40.3b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite135.0ms

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)
91.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
21.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* b b) (* (* 3 a) c))
26.0ms	(* (* 3 a) c)
151.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
115.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.1s

Counts

109 → 109

Iterations

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

prune609.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.0b

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
done	0
0	0

prune58.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.0b

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))

rewrite63.0ms

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:

10.0ms	(/ (* a c) b)
13.0ms	(* -3/2 (/ (* a c) b))
39.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series100.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (* a c) b)
39.0ms	(* -3/2 (/ (* a c) b))
30.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify929.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2001
2	2001
1	396
0	132

prune476.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.9b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

21.0ms	(/ (* -3/2 (/ (* a c) b)) 3)
10.0ms	(/ (* a c) b)
24.0ms	(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
30.0ms	(* -3/2 (/ (* a c) b))

series174.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (* -3/2 (/ (* a c) b)) 3)
34.0ms	(/ (* a c) b)
36.0ms	(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
55.0ms	(* -3/2 (/ (* a c) b))

simplify1.0s

Counts

150 → 150

Iterations

Iter	Nodes
done	2003
2	2003
1	538
0	204

prune705.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.9b

regimes862.0ms

Accuracy

31.9% (4.7b remaining)

Error of 9.7b against oracle of 5.0b and baseline of 11.9b

bsearch5.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	44
1	44
0	35

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.7s	16258×	pre	80	true
1.3s	4806×	body	160	valid
957.0ms	8258×	body	80	nan
509.0ms	1392×	body	320	valid
248.0ms	1802×	body	80	valid