Details

analyze812.0ms (25.4%)

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)

sample55.0ms (1.7%)

Algorithm

1×

intervals

Results

28.0ms	89×	body	1024	valid
6.0ms	36×	body	512	valid
6.0ms	102×	body	128	valid
3.0ms	24×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify78.0ms (2.4%)

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

prune8.0ms (0.2%)

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)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

4×	`sqrt-prod_binary64` `*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `rem-sqrt-square_binary64`

Counts

1 → 16

Calls

1 calls:

5.0ms

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

Compiler

Compiled 168 to 116 computations (31% saved)

series34.0ms (1.1%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

28.0ms

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

Compiler

Compiled 234 to 209 computations (10.7% saved)

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
661×	`associate-/l*_binary64`
338×	`associate-/r*_binary64`
177×	`associate-/r/_binary64`
153×	`distribute-neg-frac_binary64`

Counts

22 → 15

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	361
1	167	350
2	439	322
3	1654	316
4	4922	316
5	4948	316

prune13.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

Counts

16 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	0.6b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))

Compiler

Compiled 217 to 168 computations (22.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (exp.f64 x) 1))
0.0b	(sqrt.f64 (+.f64 (exp.f64 x) 1))
0.6b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))

rewrite124.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

98×	`sqrt-prod_binary64`
65×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
34×	`sqrt-pow1_binary64`
28×	`pow1_binary64` `sqrt-div_binary64`

Counts

3 → 128

Calls

3 calls:

21.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
4.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))
4.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 1886 to 1360 computations (27.9% saved)

series60.0ms (1.9%)

Error

Counts

3 → 18

Calls

3 calls:

14.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))
14.0ms	(sqrt.f64 (+.f64 (exp.f64 x) 1))
13.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))

Compiler

Compiled 895 to 778 computations (13.1% saved)

simplify161.0ms (5%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
296×	`associate-l_binary64`
236×	`associate-r_binary64`
153×	`distribute-neg-frac_binary64`
147×	`distribute-rgt-out_binary64`

Counts

146 → 112

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	2317
1	242	2163
2	681	2046
3	2394	1986
4	4920	1975
5	4940	1975
6	4951	1975

prune49.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Error

Counts

114 → 2

Alt Table

Status	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
	0.6b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))

Compiler

Compiled 1021 to 777 computations (23.9% saved)

regimes71.0ms (2.2%)

Accuracy

Total 0.0b remaining (22.5%)

Threshold costs 0.0b (22.5%)

Compiler

Compiled 445 to 381 computations (14.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	9	8
2	8	8

end1.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

sample1.6s (51.3%)

Algorithm

1×

intervals

Results

800.0ms	2659×	body	1024	valid
232.0ms	1340×	body	512	valid
143.0ms	3040×	body	128	valid
101.0ms	288×	body	2048	valid
73.0ms	673×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 41 to 34 computations (17.1% saved)

Details

analyze812.0ms (25.4%)

sample55.0ms (1.7%)

simplify78.0ms (2.4%)

prune8.0ms (0.2%)

localize6.0ms (0.2%)

rewrite17.0ms (0.5%)

series34.0ms (1.1%)

simplify62.0ms (1.9%)

prune13.0ms (0.4%)

localize7.0ms (0.2%)

rewrite124.0ms (3.9%)

series60.0ms (1.9%)

simplify161.0ms (5%)

prune49.0ms (1.5%)

regimes71.0ms (2.2%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.6s (51.3%)

Profiling