Details

analyze34.0ms (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 (1.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	121×	body	80	invalid

simplify63.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5100	6

prune9.0ms (0.6%)

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

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

4.0ms	(* x (exp (* y y)))
2.0ms	(exp (* y y))

series10.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(* x (exp (* y y)))
2.0ms	(exp (* y y))

simplify57.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4947	208
1	4947	208

prune47.0ms (3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize5.0ms (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 (0.6%)

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)

series16.0ms (1%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(* x (pow (exp y) y))
4.0ms	(pow (exp y) y)

simplify54.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5005	346

prune59.0ms (3.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	52	2	54

Merged error: 0.0b

Counts

54 → 2

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(pow (exp y) y)
0.0b	(* x (cbrt (pow (pow (exp y) y) 3)))
0.0b	(cbrt (pow (pow (exp y) y) 3))
0.0b	(pow (pow (exp y) y) 3)

rewrite24.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`cbrt-prod`
47×	`unpow-prod-down`
39×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity` `cube-prod`
23×	`associate-r`
13×	`sqr-pow`
9×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`pow-unpow` `add-cbrt-cube`
5×	`pow-pow` `pow-exp`
4×	`add-log-exp`
3×	`cube-mult` `pow-to-exp` `exp-prod` `unpow3` `associate-l`
1×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 128

Calls

4 calls:

10.0ms	(* x (cbrt (pow (pow (exp y) y) 3)))
4.0ms	(cbrt (pow (pow (exp y) y) 3))
4.0ms	(pow (pow (exp y) y) 3)
3.0ms	(pow (exp y) y)

series31.0ms (2%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(* x (cbrt (pow (pow (exp y) y) 3)))
11.0ms	(pow (pow (exp y) y) 3)
4.0ms	(cbrt (pow (pow (exp y) y) 3))
4.0ms	(pow (exp y) y)

simplify61.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4940	1097
1	4940	1097

prune180.0ms (11.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Merged error: 0.0b

Counts

142 → 3

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
22×	`unpow-prod-down`
18×	`associate-l`
17×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
13×	`prod-exp` `unswap-sqr`
12×	`cbrt-prod` `sqr-pow`
11×	`pow1`
9×	`add-cbrt-cube`
7×	`swap-sqr`
6×	`pow-to-exp` `pow-exp`
5×	`pow-prod-down` `cbrt-unprod`
4×	`add-log-exp`
3×	`*-commutative`
1×	`pow2` `pow1/3` `pow-sqr` `pow-prod-up`

Counts

4 → 108

Calls

4 calls:

10.0ms	(* (* (cbrt (pow (exp y) y)) x) (cbrt (* (pow (exp y) y) (pow (exp y) y))))
7.0ms	(* (pow (exp y) y) (pow (exp y) y))
6.0ms	(* (cbrt (pow (exp y) y)) x)
4.0ms	(cbrt (* (pow (exp y) y) (pow (exp y) y)))

series65.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (* (pow (exp y) y) (pow (exp y) y)))
20.0ms	(* (cbrt (pow (exp y) y)) x)
14.0ms	(* (* (cbrt (pow (exp y) y)) x) (cbrt (* (pow (exp y) y) (pow (exp y) y))))
6.0ms	(* (pow (exp y) y) (pow (exp y) y))

simplify76.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5079	924

prune135.0ms (8.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	119	4	123

Merged error: 0b

Counts

123 → 4

regimes79.0ms (5%)

Accuracy

Total 0.0b remaining (53.5%)

Threshold costs 0.0b (53.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample492.0ms (31%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	80	valid
94.0ms	4091×	body	80	invalid

Details

analyze34.0ms (2.1%)

sample18.0ms (1.1%)

simplify63.0ms (4%)

prune9.0ms (0.6%)

localize5.0ms (0.3%)

rewrite6.0ms (0.4%)

series10.0ms (0.6%)

simplify57.0ms (3.6%)

prune47.0ms (3%)

localize5.0ms (0.3%)

rewrite9.0ms (0.6%)

series16.0ms (1%)

simplify54.0ms (3.4%)

prune59.0ms (3.7%)

localize8.0ms (0.5%)

rewrite24.0ms (1.5%)

series31.0ms (2%)

simplify61.0ms (3.8%)

prune180.0ms (11.4%)

localize11.0ms (0.7%)

rewrite30.0ms (1.9%)

series65.0ms (4.1%)

simplify76.0ms (4.8%)

prune135.0ms (8.5%)

regimes79.0ms (5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample492.0ms (31%)

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