Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.7s (38%)

Results

891.0ms	2281×	body	1024	valid
453.0ms	4411×	body	128	valid
271.0ms	1046×	body	512	valid
94.0ms	518×	body	256	valid

Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	36	17
5	54	17
6	79	17
7	96	17
8	113	17
9	123	17
10	127	17
11	129	17
12	115	17

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	17.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 47 to 38 computations (19.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.2b	(/.f64 1 (sqrt.f64 x))
✓	2.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

series34.0ms (0.7%)

Counts

4 → 8

Calls

4 calls:

11.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
10.0ms	(/.f64 1 (sqrt.f64 x))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
5.0ms	(sqrt.f64 (+.f64 x 1))

rewrite100.0ms (2.2%)

Algorithm

2×	batch-egg-rewrite

Rules

776×	`prod-diff_binary64`
428×	`fma-def_binary64`
246×	`fma-neg_binary64`
200×	`egg-rr`
170×	`log1p-udef_binary64`

Counts

4 → 200

Calls

4 calls:

96.0ms	(sqrt.f64 (+.f64 x 1))
96.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
96.0ms	(/.f64 1 (sqrt.f64 x))
96.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	205	30
2	2570	30
3	4757	30
4	4948	30
0	0	0
1	0	0

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-neg_binary64`
743×	`cancel-sign-sub-inv_binary64`
601×	`distribute-rgt-neg-in_binary64`
443×	`fma-def_binary64`
382×	`unsub-neg_binary64`

Counts

208 → 213

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	94
1	79	86
2	203	76
3	566	64
4	1706	64
5	3239	64
6	4401	64
7	5119	64

prune271.0ms (5.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	199	14	213
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	14	214

Error

16.3b

Counts

214 → 14

Alt Table

Status	Error	Program
	20.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
	17.5b	(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
▶	16.9b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
	27.0b	(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
	27.0b	(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
	27.0b	(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
	22.2b	(-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	27.4b	(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
	27.1b	(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
	27.4b	(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
	29.9b	(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
	26.6b	(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
	26.8b	(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 x -1/2))
	27.0b	(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 5343 to 4291 computations (19.7% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 x))
✓	0.0b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
✓	0.2b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
✓	2.9b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

series66.0ms (1.4%)

Counts

4 → 5

Calls

4 calls:

27.0ms	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
21.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
13.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
5.0ms	(sqrt.f64 (+.f64 1 x))

rewrite84.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

473×	`fma-def_binary64`
237×	`fma-neg_binary64`
211×	`egg-rr`
210×	`log-div_binary64`
178×	`expm1-udef_binary64`

Counts

4 → 211

Calls

4 calls:

78.0ms	(sqrt.f64 (+.f64 1 x))
78.0ms	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
78.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
78.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	205	49
2	2944	49
3	4935	49
0	0	0
1	0	0

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
635×	`associate-l_binary64`
538×	`unswap-sqr_binary64`
518×	`distribute-rgt-neg-in_binary64`
478×	`distribute-lft-neg-in_binary64`

Counts

216 → 218

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	50	44
2	113	38
3	305	34
4	801	29
5	2479	29
6	4718	29
7	4924	29
8	5130	29

prune340.0ms (7.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	246	5	251
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	255	10	265

Error

15.4b

Counts

265 → 10

Alt Table

Status	Error	Program
	27.8b	(/.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
	26.8b	(/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (/.f64 (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x)) -1) (sqrt.f64 (+.f64 1 x)))
	27.4b	(/.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 x))) -1) (sqrt.f64 (+.f64 1 x)))
	26.7b	(/.f64 (fma.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 x -1/2) -1) (sqrt.f64 (+.f64 1 x)))
	27.0b	(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
	29.9b	(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
	27.4b	(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
	26.6b	(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
▶	16.1b	(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
	27.0b	(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 5864 to 4002 computations (31.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
✓	0.0b	(/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	0.2b	(/.f64 (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	1.9b	(-.f64 (+.f64 1 x) x)

series85.0ms (1.8%)

Counts

4 → 14

Calls

4 calls:

49.0ms	(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
24.0ms	(/.f64 (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x))
10.0ms	(/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms	(-.f64 (+.f64 1 x) x)

rewrite89.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

554×	`fma-def_binary64`
314×	`fma-neg_binary64`
212×	`expm1-udef_binary64`
212×	`log1p-udef_binary64`
160×	`egg-rr`

Counts

4 → 160

Calls

4 calls:

86.0ms	(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
86.0ms	(/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
86.0ms	(/.f64 (/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x))
86.0ms	(-.f64 (+.f64 1 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	85
1	264	48
2	3573	48
3	4940	48
0	0	0
1	0	0

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Counts

174 → 161

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
1	7	17
2	6	17

prune171.0ms (3.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	153	8	161
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	162	9	171

Error

0.0b

Counts

171 → 9

Alt Table

Status	Error	Program
	3.5b	(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (.f64 x (+.f64 1 x))))) (pow.f64 (+.f64 1 x) -1/2))
	33.4b	(/.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1 x)))
	0.7b	(/.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
	26.7b	(/.f64 (fma.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 x -1/2) -1) (sqrt.f64 (+.f64 1 x)))
	3.4b	(/.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))
▶	0.4b	(/.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
	20.3b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))) 3)) (sqrt.f64 (+.f64 1 x)))
	14.1b	(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 (+.f64 1 x) (-.f64 x (sqrt.f64 (.f64 x (+.f64 1 x)))))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
	3.5b	(.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (.f64 x (+.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))

Compiler

Compiled 4319 to 2899 computations (32.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓	0.1b	(/.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
✓	0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	0.3b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x))

series96.0ms (2.1%)

Counts

4 → 3

Calls

4 calls:

50.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x))
28.0ms	(/.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
7.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite148.0ms (3.2%)

Algorithm

2×	batch-egg-rewrite

Rules

485×	`fma-def_binary64`
237×	`fma-neg_binary64`
197×	`expm1-udef_binary64`
197×	`log1p-udef_binary64`
183×	`log-pow_binary64`

Counts

4 → 158

Calls

4 calls:

145.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
145.0ms	(/.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
145.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
145.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	71
1	230	61
2	3160	61
3	4985	61
4	4942	61
0	0	0
1	0	0

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Counts

161 → 160

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	7	6
2	6	6

prune207.0ms (4.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	154	6	160
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	161	8	169

Error

Counts

169 → 8

Alt Table

Status	Error	Program
	0.3b	(*.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
	0.6b	(/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))) 2) (sqrt.f64 (+.f64 1 x)))
	3.5b	(.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (.f64 x (+.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
	3.5b	(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (.f64 x (+.f64 1 x))))) (pow.f64 (+.f64 1 x) -1/2))
	0.2b	(/.f64 (pow.f64 (+.f64 1 x) -1/2) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))
	20.3b	(/.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) (pow.f64 x 3/2))) (sqrt.f64 (+.f64 1 x)))
	0.3b	(/.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x) -1) (sqrt.f64 (+.f64 1 x)))
	0.3b	(*.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) 1/4)))

Compiler

Compiled 3685 to 2580 computations (30% saved)

regimes788.0ms (17.2%)

Accuracy

Total 0.2b remaining (92.8%)

Threshold costs 0.2b (92.8%)

Counts

268 → 1

Compiler

Compiled 10488 to 8250 computations (21.3% 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	10	21
1	13	21
2	12	21

end168.0ms (3.7%)

Compiler: Compiled 194 to 151 computations (22.2% saved)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	36	17
5	54	17
6	79	17
7	96	17
8	113	17
9	123	17
10	127	17
11	129	17
12	115	17

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	36	17
5	54	17
6	79	17
7	96	17
8	113	17
9	123	17
10	127	17
11	129	17
12	115	17

Details

analyze1.0ms (0%)

sample1.7s (38%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series34.0ms (0.7%)

rewrite100.0ms (2.2%)

simplify65.0ms (1.4%)

prune271.0ms (5.9%)

localize6.0ms (0.1%)

series66.0ms (1.4%)

rewrite84.0ms (1.8%)

simplify73.0ms (1.6%)

prune340.0ms (7.4%)

localize9.0ms (0.2%)

series85.0ms (1.8%)

rewrite89.0ms (1.9%)

simplify8.0ms (0.2%)

prune171.0ms (3.7%)

localize8.0ms (0.2%)

series96.0ms (2.1%)

rewrite148.0ms (3.2%)

simplify9.0ms (0.2%)

prune207.0ms (4.5%)

regimes788.0ms (17.2%)

simplify2.0ms (0%)

end168.0ms (3.7%)

Profiling

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	36	17
5	54	17
6	79	17
7	96	17
8	113	17
9	123	17
10	127	17
11	129	17
12	115	17