Details

sample171.0ms

Algorithm

intervals

Results

47.0ms	157×	body	160	valid
41.0ms	294×	body	80	nan
38.0ms	550×	pre	80	true
15.0ms	99×	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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
29.1b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

447×	`add-sqr-sqrt`
336×	`associate-l`
330×	`prod-diff`
300×	`*-un-lft-identity`
232×	`add-cube-cbrt`
183×	`associate-r`
111×	`unswap-sqr`
72×	`swap-sqr`
64×	`*-commutative`
60×	`times-frac`
28×	`distribute-lft-out`
17×	`distribute-rgt-neg-in`
15×	`fma-neg` `difference-of-squares`
14×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
10×	`fma-def` `add-log-exp`
9×	`pow1`
6×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-sub` `neg-log` `div-inv` `flip--`

Counts

4 → 540

Calls

4 calls:

152.0ms	(- (* b b) (* (* 3 a) c))
30.0ms	(* (* 3 a) c)
708.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
254.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series819.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* b b) (* (* 3 a) c))
34.0ms	(* (* 3 a) c)
170.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
553.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify2.3s

Counts

552 → 552

Iterations

Iter	Nodes
done	5000
2	3984
1	1487
0	594

prune2.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.8b

localize9.0ms

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

prune81.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.8b

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))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

1180×	`times-frac`
860×	`associate-r`
853×	`add-sqr-sqrt`
531×	`*-un-lft-identity`
527×	`add-cube-cbrt`
344×	`associate-l`
156×	`unswap-sqr`
114×	`*-commutative`
91×	`associate-/l*`
49×	`add-cbrt-cube` `add-exp-log`
36×	`associate-*r/`
21×	`associate-/r*` `associate-/l/`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp` `div-inv`
6×	`clear-num` `un-div-inv`
5×	`pow1`
4×	`frac-2neg`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

3 → 878

Calls

3 calls:

23.0ms	(/ (* a c) b)
75.0ms	(* -3/2 (/ (* a c) b))
170.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series78.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* a c) b)
31.0ms	(* -3/2 (/ (* a c) b))
24.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify3.0s

Counts

887 → 887

Iterations

Iter	Nodes
done	5009
1	4395
0	1233

prune3.9s

Pruning

52 alts after pruning (52 fresh and 0 done)

Merged error: 9.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (* -3/2 a) (/ c b))
0.4b	(/ (* (* -3/2 a) (/ c b)) (* 3 a))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

562×	`times-frac`
530×	`add-sqr-sqrt`
329×	`associate-r`
315×	`associate-l`
266×	`*-un-lft-identity`
264×	`add-cube-cbrt`
133×	`unswap-sqr`
63×	`*-commutative`
55×	`add-cbrt-cube` `add-exp-log`
42×	`associate-/l*`
23×	`prod-exp` `cbrt-unprod`
18×	`associate-/r` `associate-r/`
16×	`cbrt-undiv` `div-exp`
15×	`div-inv`
11×	`associate-/l/`
7×	`pow1`
5×	`clear-num`
4×	`un-div-inv`
3×	`frac-2neg` `pow-prod-down`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 559

Calls

2 calls:

36.0ms	(* (* -3/2 a) (/ c b))
106.0ms	(/ (* (* -3/2 a) (/ c b)) (* 3 a))

series77.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (* -3/2 a) (/ c b))
30.0ms	(/ (* (* -3/2 a) (/ c b)) (* 3 a))

simplify1.7s

Counts

565 → 565

Iterations

Iter	Nodes
done	5000
1	3009
0	844

prune2.4s

Pruning

48 alts after pruning (48 fresh and 0 done)

Merged error: 9.6b

regimes2.0s

Accuracy

57.2% (5.8b remaining)

Error of 14.9b against oracle of 9.0b and baseline of 22.7b

bsearch4.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	48
2	48
1	44
0	32

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.7s	4501×	body	160	valid
1.2s	8640×	body	80	nan
1.1s	16640×	pre	80	true
468.0ms	3499×	body	80	valid