Details

sample177.0ms

Algorithm

intervals

Results

46.0ms	296×	body	80	nan
46.0ms	154×	body	160	valid
38.0ms	552×	pre	80	true
15.0ms	102×	body	80	valid

simplify136.0ms

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 a) c)
0.3b	(- (* b b) (* (* 3 a) c))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
30.6b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite173.0ms

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:

27.0ms	(* (* 3 a) c)
17.0ms	(- (* b b) (* (* 3 a) c))
98.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
29.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* 3 a) c)
68.0ms	(- (* b b) (* (* 3 a) c))
134.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
119.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.3s

Counts

109 → 109

Iterations

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

prune798.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.7b

localize13.0ms

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

prune127.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.7b

localize31.0ms

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))

rewrite89.0ms

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)
27.0ms	(* -3/2 (/ (* a c) b))
44.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series95.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (* a c) b)
45.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	2001
2	2001
1	396
0	132

prune641.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 8.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (* 1 (/ (* a c) b)))
0.4b	(/ (* -3/2 (* 1 (/ (* a c) b))) (* 3 a))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

17.0ms	(/ (* a c) b)
63.0ms	(* -3/2 (* 1 (/ (* a c) b)))
85.0ms	(/ (* -3/2 (* 1 (/ (* a c) b))) (* 3 a))

series98.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* a c) b)
38.0ms	(* -3/2 (* 1 (/ (* a c) b)))
23.0ms	(/ (* -3/2 (* 1 (/ (* a c) b))) (* 3 a))

simplify1.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	2001
2	2001
1	460
0	160

prune369.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.6b

regimes1.7s

Accuracy

57.7% (5.7b remaining)

Error of 15.0b against oracle of 9.3b and baseline of 22.7b

bsearch5.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	39
1	39
0	30

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.4s	4472×	body	160	valid
1.2s	16548×	pre	80	true
1.2s	8548×	body	80	nan
589.0ms	3528×	body	80	valid