Details

analyze698.0ms (9.9%)

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%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.1%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.2s (45.7%)

Results

2.1s	2771×	body	1024	valid
420.0ms	1375×	body	512	valid
342.0ms	3132×	body	128	valid
165.0ms	291×	body	2048	valid
151.0ms	687×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

667×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
380×	`fma-def_binary64`
279×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	25	13
2	34	13
3	59	13
4	123	11
5	318	8
6	1056	8
7	4350	8
8	4987	8

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 30 to 24 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 x))
✓	0.2b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series6.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
1.0ms	(+.f64 1 (exp.f64 x))

rewrite57.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
357×	`unpow-prod-down_binary64`
232×	`log-prod_binary64`
140×	`pow2_binary64`

Counts

2 → 102

Calls

2 calls:

55.0ms	(+.f64 1 (exp.f64 x))
55.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	117	14
2	1314	14
3	5001	14
0	0	0
1	0	0

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
661×	`associate-/l*_binary64`
268×	`fma-neg_binary64`
177×	`associate-/r/_binary64`
159×	`fma-def_binary64`

Counts

110 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	180
1	131	166
2	430	142
3	1778	130
4	4971	130
5	4989	130

prune143.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Error

0.2b

Counts

116 → 3

Alt Table

Status	Error	Program
✓	0.3b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
	19.9b	(-.f64 (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))) (.f64 (.f64 (/.f64 x (sqrt.f64 2)) x) 3/16)) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 2)) -1/48))
▶	0.3b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)

Compiler

Compiled 1609 to 1185 computations (26.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 x))
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 x)) 3/2)
✓	0.3b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)

series726.0ms (10.3%)

Counts

2 → 24

Calls

2 calls:

548.0ms	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
177.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 3/2)

rewrite49.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

743×	`log1p-expm1-u_binary64`
743×	`expm1-log1p-u_binary64`
139×	`expm1-udef_binary64`
139×	`log1p-udef_binary64`
84×	`add-sqr-sqrt_binary64`

Counts

2 → 44

Calls

2 calls:

48.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 3/2)
48.0ms	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	191	17
2	1905	17
3	4896	17
0	0	0
1	0	0

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-neg_binary64`
785×	`fma-def_binary64`
475×	`*-commutative_binary64`
370×	`associate-+l+_binary64`
263×	`associate-+r+_binary64`

Counts

68 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	598
1	286	518
2	1120	471
3	3597	471
4	4967	471
5	5025	471

prune128.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Error

0.2b

Counts

126 → 3

Alt Table

Status	Error	Program
✓	0.3b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
✓	0.3b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	19.9b	(+.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (.f64 1/8 (sqrt.f64 1/8)))) (.f64 (sqrt.f64 8) 1/48) (fma.f64 5/128 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))))) (-.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 1/8 (.f64 x x)) (.f64 (pow.f64 x 3) -15/128))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 x x) 3/32) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (*.f64 (sqrt.f64 8) 3/128))))))

Compiler

Compiled 2275 to 1811 computations (20.4% saved)

localize105.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (sqrt.f64 8) 9/128)
✓	9.3b	(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))
✓	9.3b	(+.f64 (.f64 (.f64 x x) 3/32) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (*.f64 (sqrt.f64 8) 3/128)))
✓	12.9b	(+.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (.f64 1/8 (sqrt.f64 1/8)))) (.f64 (sqrt.f64 8) 1/48) (fma.f64 5/128 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))))) (-.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 1/8 (.f64 x x)) (.f64 (pow.f64 x 3) -15/128))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 x x) 3/32) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (*.f64 (sqrt.f64 8) 3/128))))))

series82.0ms (1.2%)

Counts

4 → 36

Calls

4 calls:

44.0ms	(+.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (.f64 1/8 (sqrt.f64 1/8)))) (.f64 (sqrt.f64 8) 1/48) (fma.f64 5/128 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))))) (-.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 1/8 (.f64 x x)) (.f64 (pow.f64 x 3) -15/128))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 x x) 3/32) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (*.f64 (sqrt.f64 8) 3/128))))))
28.0ms	(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))
9.0ms	(+.f64 (.f64 (.f64 x x) 3/32) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (*.f64 (sqrt.f64 8) 3/128)))
0.0ms	(*.f64 (sqrt.f64 8) 9/128)

rewrite133.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

582×	`log1p-expm1-u_binary64`
582×	`expm1-log1p-u_binary64`
225×	`prod-diff_binary64`
199×	`fma-udef_binary64`
191×	`log-prod_binary64`

Counts

4 → 94

Calls

4 calls:

128.0ms	(*.f64 (sqrt.f64 8) 9/128)
128.0ms	(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))
128.0ms	(+.f64 (.f64 (.f64 x x) 3/32) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (*.f64 (sqrt.f64 8) 3/128)))
128.0ms	(+.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (.f64 1/8 (sqrt.f64 1/8)))) (.f64 (sqrt.f64 8) 1/48) (fma.f64 5/128 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))))) (-.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 1/8 (.f64 x x)) (.f64 (pow.f64 x 3) -15/128))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 x x) 3/32) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (*.f64 (sqrt.f64 8) 3/128))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	248
1	1272	246
2	4874	246
3	4937	246
4	4785	246
0	0	0
1	0	0

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-def_binary64`
618×	`associate-l_binary64`
576×	`associate-r_binary64`
287×	`cancel-sign-sub-inv_binary64`
266×	`distribute-rgt-neg-in_binary64`

Counts

130 → 125

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1966
1	258	1940
2	941	1598
3	4096	1591
4	4918	1591
5	5028	1591

prune408.0ms (5.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	125	3	128

Error

0.2b

Counts

128 → 3

Alt Table

Status	Error	Program
✓	0.3b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
✓	0.3b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	20.1b	(+.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (.f64 1/8 (sqrt.f64 1/8)))) (.f64 (sqrt.f64 8) 1/48) (fma.f64 5/128 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))))) (-.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 1/8 (.f64 x x)) (.f64 (pow.f64 x 3) -15/128))) (.f64 (sqrt.f64 2) (*.f64 3/32 (pow.f64 x 2)))))

Compiler

Compiled 14382 to 12441 computations (13.5% saved)

localize52.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (sqrt.f64 8) 9/128)
✓	7.6b	(-.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 1/8 (.f64 x x)) (.f64 (pow.f64 x 3) -15/128))) (.f64 (sqrt.f64 2) (.f64 3/32 (pow.f64 x 2))))
	9.3b	(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))
✓	12.8b	(+.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (.f64 1/8 (sqrt.f64 1/8)))) (.f64 (sqrt.f64 8) 1/48) (fma.f64 5/128 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))))) (-.f64 (.f64 (sqrt.f64 2) (fma.f64 1/4 (.f64 1/8 (.f64 x x)) (.f64 (pow.f64 x 3) -15/128))) (.f64 (sqrt.f64 2) (*.f64 3/32 (pow.f64 x 2)))))

series36.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

27.0ms

(+.f64 (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) (*.f64 1/8 (sqrt.f64 1/8)))) (*.f64 (sqrt.f64 8) 1/48) (fma.f64 5/128 (*.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (*.f64 (sqrt.f64 8) 3/8)) (*.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (*.f64 (sqrt.f64 8) 9/128)))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (*.f64 1/4 (*.f64 x (sqrt.f64 1/8))) (*.f64 5/32 (*.f64 x (*.f64 x (sqrt.f64 1/8)))))))))) (-.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 (*.f64 1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -15/128))) (*.f64 (sqrt.f64 2) (*.f64 3/32 (pow.f64 x 2)))))

10.0ms

(-.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 (*.f64 1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -15/128))) (*.f64 (sqrt.f64 2) (*.f64 3/32 (pow.f64 x 2))))

rewrite110.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

535×	`log1p-expm1-u_binary64`
535×	`expm1-log1p-u_binary64`
450×	`prod-diff_binary64`
176×	`log-prod_binary64`
155×	`unpow-prod-down_binary64`

Counts

2 → 111

Calls

2 calls:

104.0ms

(-.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 (*.f64 1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -15/128))) (*.f64 (sqrt.f64 2) (*.f64 3/32 (pow.f64 x 2))))

104.0ms

(+.f64 (fma.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 x 3) (*.f64 1/8 (sqrt.f64 1/8)))) (*.f64 (sqrt.f64 8) 1/48) (fma.f64 5/128 (*.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (*.f64 (sqrt.f64 8) 3/8)) (*.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (*.f64 (sqrt.f64 8) 9/128)))) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (*.f64 1/4 (*.f64 x (sqrt.f64 1/8))) (*.f64 5/32 (*.f64 x (*.f64 x (sqrt.f64 1/8)))))))))) (-.f64 (*.f64 (sqrt.f64 2) (fma.f64 1/4 (*.f64 1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -15/128))) (*.f64 (sqrt.f64 2) (*.f64 3/32 (pow.f64 x 2)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	169
1	1174	167
2	4944	167
3	5245	167
0	0	0
1	0	0

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
538×	`associate-l_binary64`
484×	`associate-r_binary64`
484×	`distribute-rgt-out_binary64`
303×	`distribute-rgt-neg-in_binary64`

Counts

135 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1201
1	229	1195
2	835	960
3	3652	893
4	5276	893

prune542.0ms (7.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	179	3	182

Error

0.2b

Counts

182 → 3

Alt Table

Status	Error	Program
✓	0.3b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
	20.1b	(+.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (.f64 1/8 (sqrt.f64 1/8)))) (.f64 (sqrt.f64 8) 1/48) (fma.f64 5/128 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (+.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/512)) (.f64 (sqrt.f64 8) 3/8)) (.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3)) (.f64 (sqrt.f64 8) 9/128)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 8)) (+.f64 (.f64 1/4 (.f64 x (sqrt.f64 1/8))) (.f64 5/32 (.f64 x (.f64 x (sqrt.f64 1/8)))))))))) (.f64 -1/16 (*.f64 (sqrt.f64 2) (pow.f64 x 2))))
✓	0.3b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 20491 to 17428 computations (14.9% saved)

regimes129.0ms (1.8%)

Accuracy

Total 0.0b remaining (20.4%)

Threshold costs 0.0b (20.4%)

Counts

29 → 1

Compiler

Compiled 2819 to 2488 computations (11.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

end96.0ms (1.4%)

Compiler: Compiled 112 to 100 computations (10.7% saved)

Details

analyze698.0ms (9.9%)

sample3.2s (45.7%)

simplify45.0ms (0.6%)

prune3.0ms (0%)

localize4.0ms (0.1%)

series6.0ms (0.1%)

rewrite57.0ms (0.8%)

simplify49.0ms (0.7%)

prune143.0ms (2%)

localize6.0ms (0.1%)

series726.0ms (10.3%)

rewrite49.0ms (0.7%)

simplify63.0ms (0.9%)

prune128.0ms (1.8%)

localize105.0ms (1.5%)

series82.0ms (1.2%)

rewrite133.0ms (1.9%)

simplify98.0ms (1.4%)

prune408.0ms (5.8%)

localize52.0ms (0.7%)

series36.0ms (0.5%)

rewrite110.0ms (1.6%)

simplify63.0ms (0.9%)

prune542.0ms (7.7%)

regimes129.0ms (1.8%)

simplify2.0ms (0%)

end96.0ms (1.4%)

Profiling