Details

analyze118.0ms (6.8%)

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample22.0ms (1.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
4.0ms	141×	body	128	invalid

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify101.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

510×	`prod-exp_binary64`
457×	`associate-l_binary64`
423×	`pow-sqr_binary64`
414×	`associate-*l/_binary64`
380×	`sqr-pow_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	13	9
3	22	9
4	48	9
5	110	9
6	268	9
7	777	9
8	1444	9
9	2361	9
10	2667	9
11	3131	9
12	4081	9
13	4832	9
14	5467	9

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 x (exp.f64 (.f64 y y)))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

4.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

Compiler

Compiled 207 to 50 computations (75.8% saved)

series19.0ms (1.1%)

Error

0.2b

Counts

1 → 9

Calls

1 calls:

13.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

Compiler

Compiled 188 to 134 computations (28.7% saved)

simplify73.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

514×	`distribute-rgt-out_binary64`
319×	`distribute-rgt-in_binary64`
298×	`*-commutative_binary64`
283×	`distribute-lft-in_binary64`
282×	`unswap-sqr_binary64`

Counts

27 → 20

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	355
1	113	315
2	315	312
3	693	312
4	1122	312
5	2841	312
6	4427	312
7	5085	312

prune13.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	16	4	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	4	21

Error

0.0b

Counts

21 → 4

Alt Table

Status	Error	Program
	33.9b	(exp.f64 (+.f64 (*.f64 y y) (log.f64 x)))
	0.4b	(+.f64 x (.f64 (.f64 y y) x))
▶	0.3b	(.f64 1 (.f64 (exp.f64 (*.f64 y y)) x))
	31.4b	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 y y)) x)) (sqrt.f64 (.f64 (exp.f64 (*.f64 y y)) x)))

Compiler

Compiled 244 to 103 computations (57.8% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (exp.f64 (.f64 y y)) x)

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

4.0ms

(*.f64 (exp.f64 (*.f64 y y)) x)

Compiler

Compiled 239 to 82 computations (65.7% saved)

series19.0ms (1.1%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

14.0ms

(*.f64 (exp.f64 (*.f64 y y)) x)

Compiler

Compiled 226 to 172 computations (23.9% saved)

simplify86.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

444×	`distribute-rgt-out_binary64`
377×	`distribute-rgt-in_binary64`
316×	`distribute-lft-in_binary64`
294×	`unswap-sqr_binary64`
291×	`*-commutative_binary64`

Counts

27 → 19

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	355
1	113	315
2	285	312
3	662	312
4	1316	312
5	2364	312
6	3981	312
7	4970	312
8	4946	312

prune13.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	19	4	23

Error

0.0b

Counts

23 → 4

Alt Table

Status	Error	Program
	33.9b	(exp.f64 (+.f64 (*.f64 y y) (log.f64 x)))
	0.4b	(+.f64 x (.f64 (.f64 y y) x))
▶	0.3b	(.f64 1 (.f64 (sqrt.f64 (exp.f64 (.f64 y y))) (.f64 x (sqrt.f64 (exp.f64 (*.f64 y y))))))
	31.4b	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 y y)) x)) (sqrt.f64 (.f64 (exp.f64 (*.f64 y y)) x)))

Compiler

Compiled 295 to 135 computations (54.2% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (sqrt.f64 (exp.f64 (.f64 y y))))
0.0b	(.f64 (sqrt.f64 (exp.f64 (.f64 y y))) (.f64 x (sqrt.f64 (exp.f64 (.f64 y y)))))
0.2b	(sqrt.f64 (exp.f64 (*.f64 y y)))
0.2b	(sqrt.f64 (exp.f64 (*.f64 y y)))

rewrite51.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
13×	`pow1_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (exp.f64 (.f64 y y))) (.f64 x (sqrt.f64 (exp.f64 (.f64 y y)))))
5.0ms	(.f64 x (sqrt.f64 (exp.f64 (.f64 y y))))
2.0ms	(sqrt.f64 (exp.f64 (*.f64 y y)))
1.0ms	(sqrt.f64 (exp.f64 (*.f64 y y)))

Compiler

Compiled 1379 to 318 computations (76.9% saved)

series65.0ms (3.7%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

19.0ms	(.f64 x (sqrt.f64 (exp.f64 (.f64 y y))))
14.0ms	(.f64 (sqrt.f64 (exp.f64 (.f64 y y))) (.f64 x (sqrt.f64 (exp.f64 (.f64 y y)))))
9.0ms	(sqrt.f64 (exp.f64 (*.f64 y y)))
7.0ms	(sqrt.f64 (exp.f64 (*.f64 y y)))

Compiler

Compiled 1089 to 785 computations (27.9% saved)

simplify112.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

431×	`*-commutative_binary64`
404×	`associate-r_binary64`
306×	`unswap-sqr_binary64`
284×	`distribute-rgt-out_binary64`
248×	`associate-*r/_binary64`

Counts

103 → 79

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	98	1490
1	212	1245
2	573	1239
3	1034	1233
4	1493	1209
5	2630	1195
6	4348	1191
7	5046	1191

prune34.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Error

0.0b

Counts

83 → 4

Alt Table

Status	Error	Program
	33.9b	(exp.f64 (+.f64 (*.f64 y y) (log.f64 x)))
▶	0.4b	(+.f64 x (.f64 (.f64 y y) x))
✓	0.3b	(.f64 1 (.f64 (sqrt.f64 (exp.f64 (.f64 y y))) (.f64 x (sqrt.f64 (exp.f64 (*.f64 y y))))))
	31.4b	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 y y)) x)) (sqrt.f64 (.f64 (exp.f64 (*.f64 y y)) x)))

Compiler

Compiled 1075 to 432 computations (59.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.0b	(.f64 (.f64 y y) x)

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

1 → 19

Calls

1 calls:

4.0ms

(*.f64 (*.f64 y y) x)

Compiler

Compiled 215 to 70 computations (67.4% saved)

series13.0ms (0.8%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

12.0ms

(*.f64 (*.f64 y y) x)

Compiler

Compiled 117 to 78 computations (33.3% saved)

simplify85.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

412×	`distribute-rgt-in_binary64`
366×	`unswap-sqr_binary64`
366×	`log-div_binary64`
352×	`distribute-lft-in_binary64`
301×	`associate-l_binary64`

Counts

25 → 13

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	257
1	86	212
2	256	212
3	568	212
4	847	212
5	1517	212
6	2640	212
7	4468	212
8	4964	212
9	4947	212

prune4.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	13	4	17

Error

0.0b

Counts

17 → 4

Alt Table

Status	Error	Program
	33.9b	(exp.f64 (+.f64 (*.f64 y y) (log.f64 x)))
	0.4b	(+.f64 x (.f64 (.f64 y y) x))
	0.3b	(.f64 1 (.f64 (sqrt.f64 (exp.f64 (.f64 y y))) (.f64 x (sqrt.f64 (exp.f64 (*.f64 y y))))))
	31.4b	(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 y y)) x)) (sqrt.f64 (.f64 (exp.f64 (*.f64 y y)) x)))

Compiler

Compiled 91 to 44 computations (51.6% saved)

regimes122.0ms (7%)

Accuracy

Total 0.3b remaining (95.2%)

Threshold costs 0.3b (95.2%)

Compiler

Compiled 1805 to 1129 computations (37.5% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	34
1	32	34
2	31	34

end1.0ms (0%)

Compiler: Compiled 25 to 18 computations (28% saved)

sample733.0ms (41.9%)

Algorithm

1×

intervals

Results

261.0ms	8000×	body	128	valid
120.0ms	4172×	body	128	invalid

Compiler

Compiled 88 to 53 computations (39.8% saved)

Details

analyze118.0ms (6.8%)

sample22.0ms (1.2%)

simplify101.0ms (5.7%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite12.0ms (0.7%)

series19.0ms (1.1%)

simplify73.0ms (4.2%)

prune13.0ms (0.7%)

localize5.0ms (0.3%)

rewrite13.0ms (0.7%)

series19.0ms (1.1%)

simplify86.0ms (4.9%)

prune13.0ms (0.7%)

localize7.0ms (0.4%)

rewrite51.0ms (2.9%)

series65.0ms (3.7%)

simplify112.0ms (6.4%)

prune34.0ms (2%)

localize4.0ms (0.2%)

rewrite15.0ms (0.8%)

series13.0ms (0.8%)

simplify85.0ms (4.9%)

prune4.0ms (0.2%)

regimes122.0ms (7%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample733.0ms (41.9%)

Profiling