Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (28.1%)

Results

699.0ms	2033×	body	1024	valid
408.0ms	4421×	body	128	valid
238.0ms	1054×	body	512	valid
90.0ms	537×	body	256	valid
84.0ms	211×	body	2048	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`rules-21_binary64`
1×	`rules-53-rev_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	11	11

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	31.3b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	5.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series23.0ms (0.4%)

Counts

2 → 5

Calls

2 calls:

15.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
8.0ms	(sqrt.f64 (+.f64 x 1))

rewrite64.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
499×	`prod-diff_binary64`
121×	`egg-rr`
67×	`add-sqr-sqrt_binary64`

Counts

2 → 121

Calls

2 calls:

61.0ms	(sqrt.f64 (+.f64 x 1))
61.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	165	17
2	1969	17
3	5350	17
0	0	0
1	0	0

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

466×	`rules-15_binary64`
451×	`rules-21_binary64`
417×	`rules-15-rev_binary64`
380×	`rules-4_binary64`
345×	`rules-14-rev_binary64`

Counts

126 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	48	42
2	159	40
3	581	36
4	3041	36
5	4381	36
6	5045	36

prune185.0ms (3.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	115	13	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	13	129

Error

30.1b

Counts

129 → 13

Alt Table

Status	Error	Program
▶	31.1b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
	31.3b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
	31.7b	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
	31.3b	(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
	31.3b	(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
	31.1b	(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
	31.5b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
	32.5b	1
	31.8b	(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.8b	(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.3b	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
	31.9b	(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.8b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))

Compiler

Compiled 3137 to 1830 computations (41.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
✓	0.3b	(cbrt.f64 (+.f64 x 1))
✓	31.2b	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
✓	61.2b	(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))

series51.0ms (0.9%)

Counts

4 → 26

Calls

4 calls:

27.0ms	(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
11.0ms	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
8.0ms	(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))
4.0ms	(cbrt.f64 (+.f64 x 1))

rewrite83.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

367×	`prod-diff_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`
159×	`egg-rr`
132×	`add-sqr-sqrt_binary64`

Counts

4 → 159

Calls

4 calls:

80.0ms	(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
80.0ms	(cbrt.f64 (+.f64 x 1))
80.0ms	(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
80.0ms	(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	345	41
2	3622	41
3	4891	41
0	0	0
1	0	0

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

406×	`rules-21_binary64`
289×	`fma-neg_binary64`
278×	`rules-4_binary64`
209×	`rules-20_binary64`
208×	`fma-def_binary64`

Counts

185 → 204

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	723
1	281	703
2	992	520
3	4545	411
4	4957	411
5	4950	411

prune733.0ms (13.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	275	5	280
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	277	16	293

Error

30.1b

Counts

293 → 16

Alt Table

Status	Error	Program
	31.3b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
	32.0b	(+.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
	31.8b	(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.4b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) 3) (pow.f64 x 3/2)) (+.f64 (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)))) (-.f64 x (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (sqrt.f64 x))))))
	31.7b	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
	32.0b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2/3))))) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
	31.3b	(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
	31.5b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
	32.5b	1
	31.6b	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) 2) (+.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) 2)))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
▶	31.1b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
	31.8b	(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.3b	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
	31.3b	(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
	31.9b	(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.8b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))

Compiler

Compiled 11159 to 7857 computations (29.6% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
✓	0.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
✓	31.0b	(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
	61.2b	(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))

series28.0ms (0.5%)

Counts

3 → 25

Calls

3 calls:

12.0ms

(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)

12.0ms

(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))

4.0ms

(cbrt.f64 (cbrt.f64 (+.f64 x 1)))

rewrite85.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

810×	`fma-neg_binary64`
344×	`prod-diff_binary64`
198×	`egg-rr`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`

Counts

3 → 198

Calls

3 calls:

82.0ms

(cbrt.f64 (cbrt.f64 (+.f64 x 1)))

82.0ms

(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)

82.0ms

(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	300	26
2	3035	26
3	4850	26
0	0	0
1	0	0

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

332×	`rules-4_binary64`
313×	`fma-neg_binary64`
239×	`fma-def_binary64`
229×	`rules-20_binary64`
218×	`rules-11_binary64`

Counts

223 → 242

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	737
1	280	717
2	1033	556
3	4940	556
4	5013	556

prune754.0ms (13.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	273	3	276
Fresh	1	14	15
Picked	1	0	1
Done	0	0	0
Total	275	17	292

Error

30.1b

Counts

292 → 17

Alt Table

Status	Error	Program
	31.3b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
▶	30.9b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (fabs.f64 (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))))
	32.0b	(+.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
	31.5b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
	32.2b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (log.f64 (exp.f64 (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))
	31.8b	(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.4b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) 3) (pow.f64 x 3/2)) (+.f64 (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)))) (-.f64 x (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (sqrt.f64 x))))))
	31.7b	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
	32.0b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2/3))))) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
	31.3b	(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
	31.8b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.4b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) 3) (pow.f64 x 3/2)) (+.f64 (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)))) (-.f64 x (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (sqrt.f64 x))))))
	32.5b	1
	31.8b	(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.3b	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
	31.3b	(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
	31.9b	(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))

Compiler

Compiled 12158 to 8862 computations (27.1% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
	0.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
	31.0b	(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
	61.2b	(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))

prune802.0ms (14.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	1	15	16
Picked	0	1	1
Done	0	0	0
Total	275	18	293

Error

30.1b

Counts

293 → 18

Alt Table

Status	Error	Program
	31.3b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
✓	30.9b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (fabs.f64 (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))))
	31.5b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
	32.2b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (log.f64 (exp.f64 (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))
	31.8b	(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.4b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) 3) (pow.f64 x 3/2)) (+.f64 (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)))) (-.f64 x (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (sqrt.f64 x))))))
	31.7b	(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
	32.0b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2/3))))) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
	31.3b	(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
	31.8b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.4b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) 3) (pow.f64 x 3/2)) (+.f64 (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)))) (-.f64 x (.f64 (.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4))) (sqrt.f64 x))))))
	32.5b	1
	31.7b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (fabs.f64 (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))))
	32.0b	(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))) (pow.f64 (+.f64 x 1) 1/9)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x))) (fabs.f64 (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x))))
	31.8b	(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))
	31.3b	(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
	31.3b	(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
	31.9b	(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))))

Compiler

Compiled 11932 to 8805 computations (26.2% saved)

regimes244.0ms (4.4%)

Accuracy

Total 0.9b remaining (2.9%)

Threshold costs 0.9b (2.9%)

Counts

107 → 1

Compiler

Compiled 5785 to 4326 computations (25.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	23	50
2	22	50

end646.0ms (11.7%)

Compiler: Compiled 640 to 443 computations (30.8% saved)

Details

analyze3.0ms (0%)

sample1.5s (28.1%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series23.0ms (0.4%)

rewrite64.0ms (1.2%)

simplify54.0ms (1%)

prune185.0ms (3.3%)

localize18.0ms (0.3%)

series51.0ms (0.9%)

rewrite83.0ms (1.5%)

simplify73.0ms (1.3%)

prune733.0ms (13.3%)

localize19.0ms (0.4%)

series28.0ms (0.5%)

rewrite85.0ms (1.6%)

simplify61.0ms (1.1%)

prune754.0ms (13.7%)

localize22.0ms (0.4%)

prune802.0ms (14.5%)

regimes244.0ms (4.4%)

simplify2.0ms (0%)

end646.0ms (11.7%)

Profiling