Details

analyze273.0ms (7.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample47.0ms (1.4%)

Algorithm

1×

intervals

Results

14.0ms	151×	body	160	valid
9.0ms	47×	body	320	valid
9.0ms	293×	pre	80	true
3.0ms	58×	body	80	valid
2.0ms	37×	body	80	nan

simplify213.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (212.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 45.3b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
38.6b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 73

Calls

4 calls:

10.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
7.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
5.0ms	(* (* 3.0 a) c)
4.0ms	(- (* b b) (* (* 3.0 a) c))

series55.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
17.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
9.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5073	1207

prune231.0ms (6.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	69	16	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	16	86

Merged error: 4.8b

Counts

86 → 16

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune60.0ms (1.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Merged error: 4.8b

Counts

16 → 16

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

8.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))
6.0ms	(* -1.5 (/ (* a c) b))
4.0ms	(/ (* a c) b)

series16.0ms (0.4%)

Counts

3 → 9

Calls

3 calls:

6.0ms	(* -1.5 (/ (* a c) b))
5.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))
5.0ms	(/ (* a c) b)

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4998	653
1	4998	653

prune215.0ms (6.2%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	74	13	87
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	75	28	103

Merged error: 4.8b

Counts

103 → 28

localize7.0ms (0.2%)

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))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

3 → 83

Calls

3 calls:

9.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))
6.0ms	(* a (/ c b))
6.0ms	(* -1.5 (* a (/ c b)))

series16.0ms (0.4%)

Counts

3 → 9

Calls

3 calls:

6.0ms	(* -1.5 (* a (/ c b)))
5.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))
5.0ms	(* a (/ c b))

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5018	679

prune114.0ms (3.3%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	4	22	26
Picked	1	0	1
Done	0	1	1
Total	89	31	120

Merged error: 4.7b

Counts

120 → 31

regimes675.0ms (19.5%)

Accuracy

Total 6.0b remaining (54.4%)

Threshold costs 0b (0%)

bsearch15.0ms (0.4%)

Steps

Iters	Range		Point
2	0.007728773860066694	0.008686838970265957	0.008556615063999384

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	39
1	81	39

end0.0ms (0%)

sample1.3s (36.7%)

Algorithm

1×

intervals

Results

473.0ms	4835×	body	160	valid
262.0ms	8941×	pre	80	true
198.0ms	1371×	body	320	valid
92.0ms	1794×	body	80	valid
44.0ms	941×	body	80	nan

Details

analyze273.0ms (7.9%)

sample47.0ms (1.4%)

simplify213.0ms (6.2%)

prune8.0ms (0.2%)

localize9.0ms (0.3%)

rewrite27.0ms (0.8%)

series55.0ms (1.6%)

simplify38.0ms (1.1%)

prune231.0ms (6.6%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify2.0ms (0.1%)

prune60.0ms (1.7%)

localize9.0ms (0.3%)

rewrite21.0ms (0.6%)

series16.0ms (0.4%)

simplify57.0ms (1.7%)

prune215.0ms (6.2%)

localize7.0ms (0.2%)

rewrite24.0ms (0.7%)

series16.0ms (0.4%)

simplify60.0ms (1.7%)

prune114.0ms (3.3%)

regimes675.0ms (19.5%)

bsearch15.0ms (0.4%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (36.7%)

Profiling