Details

analyze2.0s (24.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample133.0ms (1.6%)

Algorithm

1×

intervals

Results

81.0ms	86×	body	1024	valid
14.0ms	37×	body	512	valid
10.0ms	97×	body	128	valid
8.0ms	8×	body	2048	valid
7.0ms	28×	body	256	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify121.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

669×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
279×	`distribute-rgt-in_binary64`
273×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	32	19
3	55	19
4	116	11
5	296	8
6	987	8
7	4260	8
8	4954	8
9	5000	8
10	4831	8

prune6.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 18 to 15 computations (16.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite55.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
4×	`sqrt-prod_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 28

Calls

2 calls:

6.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
5.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 294 to 198 computations (32.7% saved)

series43.0ms (0.5%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

20.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
9.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 324 to 283 computations (12.7% saved)

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
663×	`associate-/l*_binary64`
177×	`associate-/r/_binary64`
165×	`associate-+l+_binary64`
153×	`distribute-neg-frac_binary64`

Counts

40 → 15

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	557
1	208	533
2	546	502
3	1897	488
4	5065	488

prune25.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Error

Counts

16 → 3

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
	0.0b	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 270 to 201 computations (25.6% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
4.7b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite210.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`*-un-lft-identity_binary64`
31×	`add-sqr-sqrt_binary64`
26×	`sqrt-prod_binary64`
22×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`

Counts

4 → 105

Calls

4 calls:

20.0ms	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
5.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 2287 to 1497 computations (34.5% saved)

series104.0ms (1.3%)

Error

Counts

4 → 24

Calls

4 calls:

36.0ms	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
15.0ms	(pow.f64 (exp.f64 x) 2)
14.0ms	(pow.f64 (exp.f64 x) 3)
12.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

Compiler

Compiled 1043 to 820 computations (21.4% saved)

simplify203.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

791×	`times-frac_binary64`
281×	`unswap-sqr_binary64`
268×	`cancel-sign-sub-inv_binary64`
240×	`exp-prod_binary64`
213×	`log-prod_binary64`

Counts

129 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	2985
1	533	2819
2	1428	2759
3	3873	2759
4	5631	2759

prune206.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	80	3	83

Error

Counts

83 → 3

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
▶	0.0b	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 1148 to 765 computations (33.4% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
4.7b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite311.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

107×	`*-un-lft-identity_binary64`
76×	`sqrt-prod_binary64`
56×	`times-frac_binary64`
54×	`add-sqr-sqrt_binary64`
46×	`add-cube-cbrt_binary64`

Counts

4 → 156

Calls

4 calls:

27.0ms	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
12.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
5.0ms	(pow.f64 (exp.f64 x) 2)
5.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 3393 to 2311 computations (31.9% saved)

series154.0ms (1.9%)

Error

Counts

4 → 24

Calls

4 calls:

50.0ms	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
44.0ms	(pow.f64 (exp.f64 x) 3)
15.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
15.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1080 to 857 computations (20.6% saved)

simplify427.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

358×	`exp-prod_binary64`
351×	`log-prod_binary64`
281×	`unswap-sqr_binary64`
239×	`cancel-sign-sub-inv_binary64`
209×	`prod-exp_binary64`

Counts

180 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	292	5549
1	581	5359
2	1575	5299
3	3815	5237
4	4445	5237
5	4994	5237

prune165.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Error

Counts

130 → 3

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
✓	0.0b	(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 1692 to 1156 computations (31.7% saved)

regimes222.0ms (2.7%)

Accuracy

Total 0.0b remaining (57.7%)

Threshold costs 0.0b (57.7%)

Compiler

Compiled 1237 to 996 computations (19.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	19	27
2	23	27
3	25	27
4	26	27
5	25	27

end1.0ms (0%)

Compiler: Compiled 18 to 13 computations (27.8% saved)

sample3.5s (43.5%)

Algorithm

1×

intervals

Results

1.8s	2696×	body	1024	valid
518.0ms	1359×	body	512	valid
348.0ms	3040×	body	128	valid
231.0ms	295×	body	2048	valid
152.0ms	610×	body	256	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 76 to 58 computations (23.7% saved)

Details

analyze2.0s (24.8%)

sample133.0ms (1.6%)

simplify121.0ms (1.5%)

prune6.0ms (0.1%)

localize8.0ms (0.1%)

rewrite55.0ms (0.7%)

series43.0ms (0.5%)

simplify118.0ms (1.5%)

prune25.0ms (0.3%)

localize22.0ms (0.3%)

rewrite210.0ms (2.6%)

series104.0ms (1.3%)

simplify203.0ms (2.5%)

prune206.0ms (2.5%)

localize23.0ms (0.3%)

rewrite311.0ms (3.8%)

series154.0ms (1.9%)

simplify427.0ms (5.3%)

prune165.0ms (2%)

regimes222.0ms (2.7%)

simplify8.0ms (0.1%)

end1.0ms (0%)

sample3.5s (43.5%)

Profiling