Details

analyze39.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

sample18.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	105×	body	80	invalid

simplify58.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5100	6

prune8.0ms (0.4%)

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: 0.0b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(pow (exp y) y)
0.0b	(* x (pow (exp y) y))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down` `associate-r`
6×	`add-exp-log`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `exp-prod` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `add-log-exp`
1×	`*-commutative` `cbrt-unprod`

Counts

2 → 45

Calls

2 calls:

5.0ms	(* x (pow (exp y) y))
3.0ms	(pow (exp y) y)

series20.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(* x (pow (exp y) y))
7.0ms	(pow (exp y) y)

simplify58.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5005	346

prune67.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0.0b

Counts

52 → 3

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(* (* x (pow (sqrt (exp y)) y)) (sqrt (pow (exp y) y)))
0.0b	(sqrt (pow (exp y) y))
0.0b	(* x (pow (sqrt (exp y)) y))
0.0b	(sqrt (exp y))

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`associate-r`
19×	`add-exp-log`
15×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
7×	`pow1`
5×	`sqrt-pow1` `sqr-pow`
4×	`rem-sqrt-square` `associate-l` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`exp-prod`
2×	`pow-to-exp` `pow1/2` `pow-exp` `*-commutative`
1×	`pow-prod-down`

Counts

4 → 90

Calls

4 calls:

9.0ms	(* (* x (pow (sqrt (exp y)) y)) (sqrt (pow (exp y) y)))
6.0ms	(* x (pow (sqrt (exp y)) y))
2.0ms	(sqrt (pow (exp y) y))
2.0ms	(sqrt (exp y))

series63.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x (pow (sqrt (exp y)) y)) (sqrt (pow (exp y) y)))
17.0ms	(* x (pow (sqrt (exp y)) y))
6.0ms	(sqrt (pow (exp y) y))
3.0ms	(sqrt (exp y))

simplify56.0ms (3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5026	792

prune316.0ms (16.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	103	2	105

Merged error: 0.0b

Counts

105 → 2

localize21.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp y))
0.0b	(* x (* (pow (sqrt (exp y)) y) (sqrt (pow (* (cbrt (exp y)) (cbrt (exp y))) y))))
0.0b	(sqrt (exp y))
0.0b	(* (cbrt (exp y)) (cbrt (exp y)))

rewrite20.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`cbrt-prod`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
9×	`associate-l` `add-cbrt-cube`
8×	`prod-exp`
7×	`pow1/3` `associate-r`
6×	`swap-sqr`
4×	`sqrt-pow1` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`exp-prod` `pow-prod-down` `sqrt-prod`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rem-sqrt-square` `pow-plus` `pow1/2` `pow-exp`

Counts

4 → 86

Calls

4 calls:

8.0ms	(* x (* (pow (sqrt (exp y)) y) (sqrt (pow (* (cbrt (exp y)) (cbrt (exp y))) y))))
6.0ms	(* (cbrt (exp y)) (cbrt (exp y)))
2.0ms	(sqrt (exp y))
2.0ms	(cbrt (exp y))

series93.0ms (5%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (* (pow (sqrt (exp y)) y) (sqrt (pow (* (cbrt (exp y)) (cbrt (exp y))) y))))
19.0ms	(* (cbrt (exp y)) (cbrt (exp y)))
15.0ms	(cbrt (exp y))
3.0ms	(sqrt (exp y))

simplify64.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5069	763

prune158.0ms (8.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	98	2	100

Merged error: 0.0b

Counts

100 → 2

localize12.0ms (0.6%)

Local error

Found 1 expressions with local error:

7.2b	(* x (+ (* (* y y) (* 1/2 (pow (log 1) 2))) (* y (+ y (log 1)))))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

11.0ms

(* x (+ (* (* y y) (* 1/2 (pow (log 1) 2))) (* y (+ y (log 1)))))

series43.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

43.0ms

(* x (+ (* (* y y) (* 1/2 (pow (log 1) 2))) (* y (+ y (log 1)))))

simplify46.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5582	473

prune66.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Merged error: 0.0b

Counts

27 → 2

regimes68.0ms (3.6%)

Accuracy

Total 0.0b remaining (19.6%)

Threshold costs 0.0b (19.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	25
1	17	25

end0.0ms (0%)

sample525.0ms (27.9%)

Algorithm

1×

intervals

Results

204.0ms	8000×	body	80	valid
113.0ms	4262×	body	80	invalid

Details

analyze39.0ms (2.1%)

sample18.0ms (1%)

simplify58.0ms (3.1%)

prune8.0ms (0.4%)

localize6.0ms (0.3%)

rewrite9.0ms (0.5%)

series20.0ms (1.1%)

simplify58.0ms (3.1%)

prune67.0ms (3.6%)

localize12.0ms (0.6%)

rewrite22.0ms (1.2%)

series63.0ms (3.3%)

simplify56.0ms (3%)

prune316.0ms (16.8%)

localize21.0ms (1.1%)

rewrite20.0ms (1.1%)

series93.0ms (5%)

simplify64.0ms (3.4%)

prune158.0ms (8.4%)

localize12.0ms (0.6%)

rewrite11.0ms (0.6%)

series43.0ms (2.3%)

simplify46.0ms (2.5%)

prune66.0ms (3.5%)

regimes68.0ms (3.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample525.0ms (27.9%)

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