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 (40.5%)

Results

868.0ms	2366×	body	1024	valid
461.0ms	4344×	body	128	valid
290.0ms	1038×	body	512	valid
98.0ms	508×	body	256	valid

Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify13.0ms (0.3%)

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

20.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	20.5b	(-.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 3 expressions with local error:

New	Error	Program
✓	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))))

series26.0ms (0.6%)

Counts

3 → 4

Calls

3 calls:

11.0ms	(/.f64 1 (sqrt.f64 x))
9.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`prod-diff_binary64`
205×	`fma-neg_binary64`
170×	`log1p-udef_binary64`
169×	`expm1-udef_binary64`
117×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	208	24
2	2913	24

Stop Event

1×	node limit

Counts

3 → 117

Calls

3 calls:

59.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
59.0ms	(/.f64 1 (sqrt.f64 x))
59.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

simplify27.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

695×	`fma-neg_binary64`
558×	`cancel-sign-sub-inv_binary64`
474×	`distribute-rgt-neg-in_binary64`
284×	`unswap-sqr_binary64`
180×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	52	43
2	131	39
3	434	31
4	1478	31
5	3800	31

Stop Event

1×	node limit

Counts

121 → 124

prune160.0ms (3.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	112	12	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	12	125

Error

19.8b

Counts

125 → 12

Alt Table

Status	Error	Program
	28.8b	(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)))
	25.3b	(/.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))))
	27.3b	(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (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))))
	28.4b	(fma.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
	33.5b	(/.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))))))
	28.3b	(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (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))))
	28.2b	(+.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)))
	28.1b	(+.f64 (-.f64 (pow.f64 x -1/2) (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)))
	28.6b	(+.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))))
	28.4b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (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))))
▶	20.4b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
	20.6b	(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

Compiler

Compiled 3263 to 2650 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 1 x))
✓	0.2b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
✓	2.9b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓	12.6b	(sqrt.f64 (*.f64 x (+.f64 1 x)))

series37.0ms (0.9%)

Counts

4 → 21

Calls

4 calls:

19.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
12.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
4.0ms	(sqrt.f64 (*.f64 x (+.f64 1 x)))
2.0ms	(*.f64 x (+.f64 1 x))

rewrite70.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`fma-def_binary64`
267×	`fma-neg_binary64`
238×	`egg-rr`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	225	43
2	3203	41

Stop Event

1×	node limit

Counts

4 → 238

Calls

4 calls:

62.0ms	(*.f64 x (+.f64 1 x))
62.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
62.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
62.0ms	(sqrt.f64 (*.f64 x (+.f64 1 x)))

simplify28.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-neg_binary64`
501×	`cancel-sign-sub-inv_binary64`
367×	`associate-/l/_binary64`
315×	`associate-/l*_binary64`
234×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	145
1	69	125
2	154	125
3	385	125
4	1006	125
5	2451	125

Stop Event

1×	node limit

Counts

259 → 257

prune259.0ms (6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	254	3	257
Fresh	11	0	11
Picked	1	0	1
Done	0	0	0
Total	266	3	269

Error

5.1b

Counts

269 → 3

Alt Table

Status	Error	Program
	20.4b	(fma.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
	20.4b	(fma.f64 1 (sqrt.f64 (/.f64 (+.f64 x 1) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
▶	5.3b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 1 x))))

Compiler

Compiled 5363 to 3043 computations (43.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓	0.1b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓	0.2b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
	12.6b	(sqrt.f64 (*.f64 x (+.f64 1 x)))

series38.0ms (0.9%)

Counts

3 → 2

Calls

3 calls:

19.0ms

(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 1 x))))

13.0ms

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

6.0ms

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

rewrite70.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`fma-def_binary64`
270×	`fma-neg_binary64`
210×	`log1p-udef_binary64`
209×	`expm1-udef_binary64`
171×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	348	41
2	3923	41

Stop Event

1×	node limit

Counts

3 → 171

Calls

3 calls:

65.0ms

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

65.0ms

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

65.0ms

(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 1 x))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	2
1	4	2

Stop Event

1×

saturated

Counts

173 → 172

prune277.0ms (6.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	216	9	225
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	217	11	228

Error

0.0b

Counts

228 → 11

Alt Table

Status	Error	Program
	20.4b	(fma.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
	5.4b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
	0.6b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x 1/4)) (pow.f64 x 1/4)))
▶	0.3b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))
	5.3b	(/.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (hypot.f64 (sqrt.f64 x) x))))) (sqrt.f64 (.f64 x (+.f64 1 x))))
	23.0b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
	20.4b	(fma.f64 1 (sqrt.f64 (/.f64 (+.f64 x 1) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
	22.9b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) 3/2)))
	5.5b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (pow.f64 (fma.f64 x x x) 1/4) 2))
	5.8b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x)))))
	0.7b	(pow.f64 (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) -1)

Compiler

Compiled 5695 to 3326 computations (41.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series60.0ms (1.4%)

Counts

2 → 2

Calls

2 calls:

49.0ms	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))
11.0ms	(hypot.f64 (sqrt.f64 x) x)

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`fma-def_binary64`
246×	`fma-neg_binary64`
192×	`log1p-udef_binary64`
191×	`expm1-udef_binary64`
175×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	297	25
2	3387	25

Stop Event

1×	node limit

Counts

2 → 60

Calls

2 calls:

49.0ms	(hypot.f64 (sqrt.f64 x) x)
49.0ms	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	8	4
3	9	4
4	11	4
5	15	4
6	19	4
7	24	4

Stop Event

1×

saturated

Counts

62 → 63

prune256.0ms (5.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	195	4	199
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	199	11	210

Error

0.0b

Counts

210 → 11

Alt Table

Status	Error	Program
	20.4b	(fma.f64 1 (sqrt.f64 (/.f64 (+.f64 x 1) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
	0.6b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) 2))
	0.7b	(pow.f64 (*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) -1)
	0.7b	(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (hypot.f64 (sqrt.f64 x) x))))) (hypot.f64 (sqrt.f64 x) x))
	20.4b	(fma.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (fma.f64 x x x) -1/2) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
	22.9b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) 3/2)))
	0.6b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 x 1/4)) (pow.f64 x 1/4)))
	5.8b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x x)))))
	23.0b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
	0.8b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) 3))) (hypot.f64 (sqrt.f64 x) x))
	0.6b	(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) 3)) (hypot.f64 (sqrt.f64 x) x))

Compiler

Compiled 4547 to 2275 computations (50% saved)

regimes878.0ms (20.3%)

Accuracy

Total 0.2b remaining (89.9%)

Threshold costs 0.2b (89.9%)

Counts

363 → 1

Compiler

Compiled 13612 to 9784 computations (28.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-lft-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	20	28
2	24	28
3	26	28
4	27	28

Stop Event

1×

saturated

end195.0ms (4.5%)

Compiler: Compiled 291 to 186 computations (36.1% 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

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%)

sample1.7s (40.5%)

simplify13.0ms (0.3%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

series26.0ms (0.6%)

rewrite61.0ms (1.4%)

simplify27.0ms (0.6%)

prune160.0ms (3.7%)

localize9.0ms (0.2%)

series37.0ms (0.9%)

rewrite70.0ms (1.6%)

simplify28.0ms (0.6%)

prune259.0ms (6%)

localize12.0ms (0.3%)

series38.0ms (0.9%)

rewrite70.0ms (1.6%)

simplify9.0ms (0.2%)

prune277.0ms (6.4%)

localize10.0ms (0.2%)

series60.0ms (1.4%)

rewrite50.0ms (1.2%)

simplify8.0ms (0.2%)

prune256.0ms (5.9%)

regimes878.0ms (20.3%)

simplify3.0ms (0.1%)

end195.0ms (4.5%)

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