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)

sample1.6s (38.6%)

Results

770.0ms	2239×	body	1024	valid
448.0ms	4434×	body	128	valid
272.0ms	1055×	body	512	valid
92.0ms	528×	body	256	valid

Compiler

Compiled 26 to 22 computations (15.4% saved)

preprocess19.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.1%)

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

19.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	19.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 47 to 38 computations (19.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.2b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.3b	(/.f64 1 (sqrt.f64 x))
✓	2.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

series32.0ms (0.8%)

Counts

4 → 8

Calls

12 calls:

7.0ms	(/.f64 1 (sqrt.f64 x))	x	-inf
6.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))	x	inf
4.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))	x	-inf
2.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))	x	inf
2.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))	x	-inf

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`prod-diff_binary64`
170×	`log1p-udef_binary64`
169×	`expm1-udef_binary64`
106×	`add-sqr-sqrt_binary64`
102×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	207	30
2	2965	30

Stop Event

1×	node limit

Counts

4 → 173

simplify25.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-neg_binary64`
744×	`cancel-sign-sub-inv_binary64`
439×	`fma-def_binary64`
222×	`distribute-rgt-neg-in_binary64`
202×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	94
1	80	86
2	220	76
3	757	64
4	2431	64

Stop Event

1×	node limit

Counts

181 → 186

prune242.0ms (5.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	169	17	186
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	17	187

Error

18.8b

Counts

187 → 17

Alt Table

Status	Error	Program
	32.5b	(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
	30.3b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.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)))
	29.9b	(+.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))))
	30.0b	(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
	29.6b	(+.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))))
	30.2b	(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	30.3b	(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
	30.0b	(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (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)))
	31.1b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
	30.4b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	25.2b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))
	31.3b	(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)) (+.f64 (/.f64 1 x) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))))
	19.6b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	29.9b	(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	29.8b	(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (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)))
▶	19.5b	(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))
	29.8b	(+.f64 (-.f64 (pow.f64 x -1/2) (pow.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)))

Compiler

Compiled 4921 to 3949 computations (19.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 1 x) -1/2)
✓	0.0b	(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))
✓	0.3b	(/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))
✓	2.8b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

series48.0ms (1.2%)

Counts

4 → 19

Calls

12 calls:

12.0ms	(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))	x	-inf
7.0ms	(/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))	x	-inf
6.0ms	(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))	x	inf
5.0ms	(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))	x	0
5.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))	x	-inf

rewrite69.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`prod-diff_binary64`
123×	`add-sqr-sqrt_binary64`
117×	`pow1_binary64`
116×	`*-un-lft-identity_binary64`
115×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	246	55
2	3371	55

Stop Event

1×	node limit

Counts

4 → 180

simplify28.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

487×	`fma-def_binary64`
320×	`cancel-sign-sub-inv_binary64`
305×	`associate-/r*_binary64`
281×	`times-frac_binary64`
242×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	456
1	193	444
2	521	358
3	1571	284

Stop Event

1×	node limit

Counts

199 → 212

prune258.0ms (6.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	206	6	212
Fresh	16	0	16
Picked	1	0	1
Done	0	0	0
Total	223	6	229

Error

0.0b

Counts

229 → 6

Alt Table

Status	Error	Program
	1.1b	(/.f64 (+.f64 1 (-.f64 x x)) (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	0.3b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (+.f64 1 x) -1/2)) (.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)))
	0.3b	(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))
	6.3b	(/.f64 (.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 1 (-.f64 x x))) (+.f64 x (sqrt.f64 (.f64 (+.f64 1 x) x))))
	19.4b	(.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (.f64 (pow.f64 (+.f64 1 x) -1/4) (*.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 x -1/2))))
▶	0.3b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 5906 to 3905 computations (33.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 x))
	0.0b	(pow.f64 (+.f64 1 x) -1/2)
✓	0.1b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	0.3b	(/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))

series32.0ms (0.8%)

Counts

2 → 4

Calls

6 calls:

15.0ms	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))	x	-inf
7.0ms	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))	x	0
6.0ms	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))	x	inf
2.0ms	(sqrt.f64 (+.f64 1 x))	x	-inf
2.0ms	(sqrt.f64 (+.f64 1 x))	x	inf

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`prod-diff_binary64`
137×	`add-sqr-sqrt_binary64`
132×	`pow1_binary64`
131×	`*-un-lft-identity_binary64`
129×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	340	31
2	3806	31

Stop Event

1×	node limit

Counts

2 → 67

simplify28.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-def_binary64`
612×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
370×	`associate-r_binary64`
222×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	51	43
2	123	37
3	394	33
4	1126	28
5	3744	28

Stop Event

1×	node limit

Counts

71 → 74

prune232.0ms (5.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	153	8	161

Error

Counts

161 → 8

Alt Table

Status	Error	Program
	5.4b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (sqrt.f64 (/.f64 (pow.f64 (+.f64 1 x) -1) x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	0.6b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
	1.1b	(pow.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 x) -1/2))) -1)
	0.4b	(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) (/.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
	0.4b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))) (+.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
	0.3b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 x) -1/2)) -1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	5.8b	(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) -1) x)) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
▶	0.2b	(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))

Compiler

Compiled 4575 to 3075 computations (32.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1 x))
	0.0b	(pow.f64 (+.f64 1 x) -1/2)
✓	0.1b	(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
✓	0.2b	(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

series40.0ms (1%)

Counts

2 → 2

Calls

6 calls:

8.0ms	(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))	x	-inf
7.0ms	(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))	x	inf
7.0ms	(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))	x	0
7.0ms	(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))	x	-inf
6.0ms	(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))	x	0

rewrite56.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

437×	`fma-def_binary64`
238×	`fma-neg_binary64`
226×	`expm1-udef_binary64`
226×	`log1p-udef_binary64`
138×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	301	40
2	3847	40

Stop Event

1×	node limit

Counts

2 → 80

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8

Stop Event

1×

saturated

Counts

82 → 82

prune245.0ms (5.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	150	3	153
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	153	8	161

Error

Counts

161 → 8

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
	6.2b	(/.f64 (pow.f64 (*.f64 (+.f64 x 1) x) -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
	0.2b	(.f64 (/.f64 (.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) -1/4)) 1) (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
	0.4b	(*.f64 (/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) (/.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
	1.1b	(/.f64 1 (*.f64 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (pow.f64 x -1/2)) (sqrt.f64 (+.f64 x 1))))
	0.3b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 x) -1/2)) -1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	0.6b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
	5.8b	(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) -1) x)) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))

Compiler

Compiled 3806 to 2881 computations (24.3% saved)

regimes844.0ms (20.4%)

Accuracy

Total 0.2b remaining (86.3%)

Threshold costs 0.2b (86.3%)

Counts

341 → 1

Compiler

Compiled 14408 to 11288 computations (21.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	19	26

Stop Event

1×

saturated

end158.0ms (3.8%)

Stop Event

1×

fuel

Compiler

Compiled 233 to 180 computations (22.7% saved)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17

Details

analyze1.0ms (0%)

sample1.6s (38.6%)

preprocess19.0ms (0.4%)

simplify9.0ms (0.2%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

series32.0ms (0.8%)

rewrite65.0ms (1.6%)

simplify25.0ms (0.6%)

prune242.0ms (5.8%)

localize10.0ms (0.2%)

series48.0ms (1.2%)

rewrite69.0ms (1.7%)

simplify28.0ms (0.7%)

prune258.0ms (6.2%)

localize13.0ms (0.3%)

series32.0ms (0.8%)

rewrite56.0ms (1.3%)

simplify28.0ms (0.7%)

prune232.0ms (5.6%)

localize14.0ms (0.3%)

series40.0ms (1%)

rewrite56.0ms (1.4%)

simplify8.0ms (0.2%)

prune245.0ms (5.9%)

regimes844.0ms (20.4%)

simplify2.0ms (0%)

end158.0ms (3.8%)

Profiling

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17
0	1	1

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	38	17
5	56	17
6	93	17
7	127	17
8	174	17
9	210	17
10	236	17
11	238	17