Details

sample90.0ms

Algorithm

intervals

Results

18.0ms	305×	body	80	nan
18.0ms	561×	pre	80	true
17.0ms	148×	body	160	valid
7.0ms	108×	body	80	valid

simplify103.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	120
5	120
4	112
3	83
2	42
1	22
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.9b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite107.0ms

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` `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 → 93

Calls

4 calls:

15.0ms	(* (* 3.0 a) c)
7.0ms	(- (* b b) (* (* 3.0 a) c))
53.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series364.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* 3.0 a) c)
57.0ms	(- (* b b) (* (* 3.0 a) c))
139.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
129.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2767
1	473
0	167

prune694.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.4b

localize11.0ms

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

prune107.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.4b

localize16.0ms

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))

rewrite79.0ms

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` `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 → 84

Calls

3 calls:

15.0ms	(/ (* a c) b)
26.0ms	(* -1.5 (/ (* a c) b))
31.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series93.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (* a c) b)
37.0ms	(* -1.5 (/ (* a c) b))
31.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2851
1	401
0	129

prune514.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 9.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.3b	(/ 1 (* 3.0 a))
0.4b	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log`
77×	`add-cbrt-cube`
76×	`prod-exp`
38×	`div-exp`
34×	`cbrt-unprod`
20×	`cbrt-undiv`
15×	`add-sqr-sqrt`
14×	`pow1` `associate-r`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`rec-exp` `1-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-/r` `associate-l` `associate-r/` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `pow-flip`
1×	`frac-times` `associate-*l/` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

10.0ms	(/ (* a c) b)
23.0ms	(* -1.5 (/ (* a c) b))
9.0ms	(/ 1 (* 3.0 a))
76.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* a c) b)
36.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ 1 (* 3.0 a))
24.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

simplify2.4s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	4005
1	611
0	192

prune597.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.3b

regimes1.5s

Accuracy

44.8% (7.6b remaining)

Error of 16.7b against oracle of 9.1b and baseline of 22.9b

bsearch36.0ms

Steps

Iters	Range		Point
2	59.54081762261222	70.62772712067056	60.5124483648276

simplify8.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample3.2s

Algorithm

intervals

Results

829.0ms	3566×	body	80	valid
730.0ms	16725×	pre	80	true
585.0ms	4433×	body	160	valid
566.0ms	8725×	body	80	nan
0.0ms	1×	body	320	valid