Details

sample94.0ms

Algorithm

intervals

Results

17.0ms	163×	body	160	valid
13.0ms	492×	pre	80	true
12.0ms	236×	body	80	nan
6.0ms	37×	body	320	valid
3.0ms	56×	body	80	valid

simplify380.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
7	102
6	101
5	99
4	91
3	75
2	40
1	22
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.8b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite243.0ms

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) (* (* 3.0 a) c))
34.0ms	(* (* 3.0 a) c)
129.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
56.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (* b b) (* (* 3.0 a) c))
29.0ms	(* (* 3.0 a) c)
225.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
154.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify3.5s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	1576
1	465
0	171

prune1.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.1b

localize17.0ms

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

prune298.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite96.0ms

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:

20.0ms	(/ (* a c) b)
24.0ms	(* -1.5 (/ (* a c) b))
46.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series135.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (* a c) b)
54.0ms	(* -1.5 (/ (* a c) b))
48.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify3.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5018
2	2326
1	409
0	132

prune1.4s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.1b

localize53.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 3.0 a) b)
0.3b	(* -1.5 (* a c))
0.4b	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

22.0ms	(* (* 3.0 a) b)
24.0ms	(* -1.5 (* a c))
60.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series117.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (* 3.0 a) b)
34.0ms	(* -1.5 (* a c))
37.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify4.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5073
2	2475
1	343
0	116

prune781.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.1b

regimes2.3s

Accuracy

12.4% (6.2b remaining)

Error of 11.4b against oracle of 5.2b and baseline of 12.3b

bsearch62.0ms

Steps

Iters	Range		Point
3	0.001235527435550306	0.0015236040748043695	0.0012535322255036849

simplify9.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	15913×	pre	80	true
686.0ms	4818×	body	160	valid
588.0ms	7913×	body	80	nan
347.0ms	1319×	body	320	valid
143.0ms	1863×	body	80	valid