Details

analyze69.0ms (4.7%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

sample17.0ms (1.2%)

Algorithm

1×

intervals

Results

4.0ms	182×	body	80	valid
3.0ms	29×	body	640	valid
2.0ms	18×	body	1280	valid
1.0ms	20×	body	320	valid
0.0ms	7×	body	160	valid
0.0ms	2×	body	80	invalid

simplify83.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	1642	9
1	1642	9

prune5.0ms (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: 17.9b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.7b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

8.0ms	(* (- 1.0 x) (- 1.0 y))
4.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series11.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (- 1.0 x) (- 1.0 y))
5.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify34.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5073	575

prune89.0ms (6.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Merged error: 0.0b

Counts

52 → 2

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(* y (- x 1.0))
0.0b	(+ 1.0 (* y (- x 1.0)))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

6.0ms	(* y (- x 1.0))
4.0ms	(+ 1.0 (* y (- x 1.0)))

series8.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(* y (- x 1.0))
4.0ms	(+ 1.0 (* y (- x 1.0)))

simplify50.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4949	327
1	4949	327

prune61.0ms (4.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Merged error: 0.0b

Counts

45 → 3

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(* y (- x 1.0))
0.0b	(+ 1.0 (cbrt (pow (* y (- x 1.0)) 3)))
0.1b	(pow (* y (- x 1.0)) 3)
38.0b	(cbrt (pow (* y (- x 1.0)) 3))

rewrite20.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

6.0ms	(* y (- x 1.0))
6.0ms	(pow (* y (- x 1.0)) 3)
4.0ms	(+ 1.0 (cbrt (pow (* y (- x 1.0)) 3)))
2.0ms	(cbrt (pow (* y (- x 1.0)) 3))

series20.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(pow (* y (- x 1.0)) 3)
5.0ms	(cbrt (pow (* y (- x 1.0)) 3))
4.0ms	(* y (- x 1.0))
4.0ms	(+ 1.0 (cbrt (pow (* y (- x 1.0)) 3)))

simplify38.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4934	730
1	4934	730

prune141.0ms (9.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Merged error: 0.0b

Counts

94 → 3

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(* y (- x 1.0))
0.0b	(+ 1.0 (* y (- x 1.0)))
0.1b	(pow (+ 1.0 (* y (- x 1.0))) 3)
24.8b	(cbrt (pow (+ 1.0 (* y (- x 1.0))) 3))

rewrite19.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-r`
4×	`cube-div` `sub-neg`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+`
2×	`distribute-rgt-in` `cube-mult` `cbrt-div` `associate-+r+` `distribute-lft-in` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

6.0ms	(* y (- x 1.0))
4.0ms	(pow (+ 1.0 (* y (- x 1.0))) 3)
4.0ms	(cbrt (pow (+ 1.0 (* y (- x 1.0))) 3))
3.0ms	(+ 1.0 (* y (- x 1.0)))

series23.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(pow (+ 1.0 (* y (- x 1.0))) 3)
6.0ms	(* y (- x 1.0))
4.0ms	(cbrt (pow (+ 1.0 (* y (- x 1.0))) 3))
4.0ms	(+ 1.0 (* y (- x 1.0)))

simplify40.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5004	988

prune153.0ms (10.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

regimes71.0ms (4.9%)

Accuracy

Total 0.0b remaining (14.4%)

Threshold costs 0.0b (14.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms (0%)

sample459.0ms (31.4%)

Algorithm

1×

intervals

Results

142.0ms	5810×	body	80	valid
81.0ms	841×	body	640	valid
49.0ms	421×	body	1280	valid
43.0ms	588×	body	320	valid
16.0ms	340×	body	160	valid
2.0ms	66×	body	80	invalid

Details

analyze69.0ms (4.7%)

sample17.0ms (1.2%)

simplify83.0ms (5.7%)

prune5.0ms (0.3%)

localize6.0ms (0.4%)

rewrite13.0ms (0.9%)

series11.0ms (0.8%)

simplify34.0ms (2.3%)

prune89.0ms (6.1%)

localize6.0ms (0.4%)

rewrite10.0ms (0.7%)

series8.0ms (0.6%)

simplify50.0ms (3.4%)

prune61.0ms (4.2%)

localize8.0ms (0.5%)

rewrite20.0ms (1.4%)

series20.0ms (1.3%)

simplify38.0ms (2.6%)

prune141.0ms (9.7%)

localize8.0ms (0.5%)

rewrite19.0ms (1.3%)

series23.0ms (1.6%)

simplify40.0ms (2.7%)

prune153.0ms (10.4%)

regimes71.0ms (4.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample459.0ms (31.4%)

Profiling