Details

analyze7.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample14.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify680.0ms (32.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune7.0ms (0.3%)

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: 0.0b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) 10.0)

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`distribute-lft-out` `associate-/l*`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

8.0ms

(/ (+ x y) 10.0)

series12.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

12.0ms

(/ (+ x y) 10.0)

simplify50.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4976	303
1	4976	303

prune75.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0b

Counts

37 → 4

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(* (/ 1 (sqrt 10.0)) (/ (+ x y) (sqrt 10.0)))
0.4b	(/ (+ x y) (sqrt 10.0))

rewrite38.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
88×	`times-frac`
79×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
28×	`associate-r`
26×	`add-exp-log`
22×	`associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
13×	`distribute-lft-out`
9×	`div-exp`
8×	`prod-exp`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod` `associate-/l*`
3×	`div-inv`
2×	`rec-exp` `1-exp` `associate-/l/` `add-log-exp`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip-+`

Counts

2 → 137

Calls

2 calls:

24.0ms	(* (/ 1 (sqrt 10.0)) (/ (+ x y) (sqrt 10.0)))
6.0ms	(/ (+ x y) (sqrt 10.0))

series25.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (/ 1 (sqrt 10.0)) (/ (+ x y) (sqrt 10.0)))
9.0ms	(/ (+ x y) (sqrt 10.0))

simplify94.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4951	1430
1	4951	1430

prune259.0ms (12.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	143	4	147

Merged error: 0b

Counts

147 → 4

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/ 10.0 (+ x y))
0.3b	(/ 1 (/ 10.0 (+ x y)))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 129

Calls

2 calls:

8.0ms	(/ 1 (/ 10.0 (+ x y)))
5.0ms	(/ 10.0 (+ x y))

series10.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 10.0 (+ x y))
4.0ms	(/ 1 (/ 10.0 (+ x y)))

simplify69.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4958	1421
1	4958	1421

prune187.0ms (9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	135	4	139

Merged error: 0b

Counts

139 → 4

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) 0.1)

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

6.0ms

(* (+ x y) 0.1)

series4.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (+ x y) 0.1)

simplify35.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5096	155

prune29.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	24	4	28

Merged error: 0b

Counts

28 → 4

regimes156.0ms (7.5%)

Accuracy

Total 0.0b remaining (80.6%)

Threshold costs 0.0b (80.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample268.0ms (12.9%)

Algorithm

1×

intervals

Results

150.0ms

8000×

body

valid

Details

analyze7.0ms (0.4%)

sample14.0ms (0.7%)

simplify680.0ms (32.7%)

prune7.0ms (0.3%)

localize7.0ms (0.3%)

rewrite10.0ms (0.5%)

series12.0ms (0.6%)

simplify50.0ms (2.4%)

prune75.0ms (3.6%)

localize7.0ms (0.3%)

rewrite38.0ms (1.8%)

series25.0ms (1.2%)

simplify94.0ms (4.5%)

prune259.0ms (12.5%)

localize5.0ms (0.2%)

rewrite20.0ms (0.9%)

series10.0ms (0.5%)

simplify69.0ms (3.3%)

prune187.0ms (9%)

localize4.0ms (0.2%)

rewrite6.0ms (0.3%)

series4.0ms (0.2%)

simplify35.0ms (1.7%)

prune29.0ms (1.4%)

regimes156.0ms (7.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample268.0ms (12.9%)

Profiling