Details

analyze53.0ms (4.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample12.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

prune9.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(/ x (* y 3.0))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ x (* y 3.0))

series3.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ x (* y 3.0))

simplify135.0ms (10.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4746	152
1	4746	152

prune47.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0b

Counts

25 → 6

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.3b	(* (/ 1 y) (/ x 3.0))

rewrite12.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 56

Calls

1 calls:

9.0ms

(* (/ 1 y) (/ x 3.0))

series3.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ 1 y) (/ x 3.0))

simplify63.0ms (5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4953	432
1	4953	432

prune84.0ms (6.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	60	5	65

Merged error: 0b

Counts

65 → 5

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.3b	(* (/ x y) (/ 1 3.0))

rewrite13.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `add-log-exp`

Counts

1 → 57

Calls

1 calls:

11.0ms

(* (/ x y) (/ 1 3.0))

series3.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ x y) (/ 1 3.0))

simplify77.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4998	432
1	4998	432

prune78.0ms (6.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	60	5	65

Merged error: 0b

Counts

65 → 5

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(* y (/ 3.0 x))
0.3b	(/ 1 (* y (/ 3.0 x)))

rewrite13.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

6.0ms	(* y (/ 3.0 x))
6.0ms	(/ 1 (* y (/ 3.0 x)))

series7.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ 1 (* y (/ 3.0 x)))
3.0ms	(* y (/ 3.0 x))

simplify65.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4955	440
1	4955	440

prune85.0ms (6.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	71	5	76

Merged error: 0b

Counts

76 → 5

regimes158.0ms (12.6%)

Accuracy

Total 0.2b remaining (96.7%)

Threshold costs 0.2b (96.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample305.0ms (24.4%)

Algorithm

1×

intervals

Results

166.0ms	8000×	body	80	valid
4.0ms	221×	body	80	invalid

Details

analyze53.0ms (4.2%)

sample12.0ms (1%)

simplify3.0ms (0.2%)

prune9.0ms (0.7%)

localize3.0ms (0.3%)

rewrite5.0ms (0.4%)

series3.0ms (0.3%)

simplify135.0ms (10.8%)

prune47.0ms (3.7%)

localize5.0ms (0.4%)

rewrite12.0ms (0.9%)

series3.0ms (0.3%)

simplify63.0ms (5%)

prune84.0ms (6.7%)

localize5.0ms (0.4%)

rewrite13.0ms (1.1%)

series3.0ms (0.3%)

simplify77.0ms (6.1%)

prune78.0ms (6.2%)

localize5.0ms (0.4%)

rewrite13.0ms (1.1%)

series7.0ms (0.5%)

simplify65.0ms (5.2%)

prune85.0ms (6.8%)

regimes158.0ms (12.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample305.0ms (24.4%)

Profiling