Details

analyze668.0ms (9.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.3s (33.7%)

Results

731.0ms	5356×	body	128	valid
607.0ms	1127×	body	2048	valid
322.0ms	743×	body	1024	valid
254.0ms	402×	body	4096	valid
137.0ms	412×	body	512	valid
136.0ms	1061×	body	128	invalid
48.0ms	216×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

515×	`rules-1_binary64`
500×	`fma-def_binary64`
426×	`rules-5-rev_binary64`
389×	`rules-1-rev_binary64`
345×	`rules-11-rev_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	31	26
2	61	26
3	173	26
4	782	26
5	2990	24
6	5194	24

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

33.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	33.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))

Compiler

Compiled 74 to 48 computations (35.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))
✓	1.2b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
✓	23.1b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

series182.0ms (2.6%)

Counts

4 → 96

Calls

4 calls:

80.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))
51.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
41.0ms	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))
11.0ms	(fma.f64 b b (.f64 (.f64 a c) -4))

rewrite93.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

849×	`prod-diff_binary64`
163×	`egg-rr`
143×	`add-sqr-sqrt_binary64`
135×	`log1p-expm1-u_binary64`
135×	`expm1-log1p-u_binary64`

Counts

4 → 163

Calls

4 calls:

89.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 a 2))
89.0ms	(fma.f64 b b (.f64 (.f64 a c) -4))
89.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
89.0ms	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	329	63
2	4072	63
3	5645	63
0	0	0
1	0	0

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
476×	`rules-20_binary64`
436×	`fma-neg_binary64`
426×	`rules-13_binary64`
342×	`rules-15-rev_binary64`

Counts

259 → 230

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2301
1	395	2223
2	1704	2207
3	5420	2207

prune188.0ms (2.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	216	14	230
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	217	14	231

Error

8.0b

Counts

231 → 14

Alt Table

Status	Error	Program
▶	33.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b)))) (.f64 a 2))
	47.7b	(/.f64 (-.f64 (/.f64 (fma.f64 1/2 (.f64 b b) (neg.f64 (.f64 4 (.f64 c a)))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) b) (.f64 a 2))
	49.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (*.f64 a 2)) 3))
	36.2b	(/.f64 (.f64 (neg.f64 b) (+.f64 1 (/.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)))) (.f64 a 2))
	44.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	35.8b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (*.f64 a 2))) 3)
	46.9b	(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b)))
	41.7b	(*.f64 -1 (/.f64 c b))
	35.9b	(.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b))) 2) (/.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b))) (.f64 a 2)))
	35.5b	(.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (/.f64 1 (.f64 a 2)))
	37.2b	(/.f64 (exp.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)))) (*.f64 a 2))
	57.1b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 a 2))
	44.2b	(*.f64 -1 (/.f64 b a))
	55.8b	(pow.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (*.f64 a 2)) 3) 1/3)

Compiler

Compiled 6585 to 3891 computations (40.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b)))) (.f64 a 2))
✓	1.0b	(+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))
✓	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))))
✓	23.1b	(sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))

series196.0ms (2.8%)

Counts

4 → 96

Calls

4 calls:

84.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b)))) (.f64 a 2))
54.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))))
42.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))
10.0ms	(+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))

rewrite96.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

278×	`log1p-udef_binary64`
166×	`egg-rr`
157×	`add-sqr-sqrt_binary64`
151×	`log1p-expm1-u_binary64`
151×	`expm1-log1p-u_binary64`

Counts

4 → 166

Calls

4 calls:

92.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b)))) (.f64 a 2))
92.0ms	(+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))
92.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b))))
92.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (*.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	363	63
2	4559	63
3	4869	63
0	0	0
1	0	0

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
476×	`rules-20_binary64`
436×	`fma-neg_binary64`
426×	`rules-13_binary64`
342×	`rules-15-rev_binary64`

Counts

262 → 236

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2301
1	395	2223
2	1704	2207
3	5420	2207

prune180.0ms (2.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	236	14	250

Error

8.0b

Counts

250 → 14

Alt Table

Status	Error	Program
✓	33.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b)))) (.f64 a 2))
	47.7b	(/.f64 (-.f64 (/.f64 (fma.f64 1/2 (.f64 b b) (neg.f64 (.f64 4 (.f64 c a)))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) b) (.f64 a 2))
	49.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (*.f64 a 2)) 3))
	36.2b	(/.f64 (.f64 (neg.f64 b) (+.f64 1 (/.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)))) (.f64 a 2))
	44.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	35.8b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (*.f64 a 2))) 3)
	46.9b	(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b)))
	41.7b	(*.f64 -1 (/.f64 c b))
	35.9b	(.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b))) 2) (/.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b))) (.f64 a 2)))
▶	35.5b	(.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (/.f64 1 (.f64 a 2)))
	37.2b	(/.f64 (exp.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)))) (*.f64 a 2))
	57.1b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 a 2))
	44.2b	(*.f64 -1 (/.f64 b a))
	55.8b	(pow.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (*.f64 a 2)) 3) 1/3)

Compiler

Compiled 6196 to 3583 computations (42.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 a c) -4)
✓	0.2b	(.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (/.f64 1 (.f64 a 2)))
✓	1.2b	(+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b))
✓	14.9b	(sqrt.f64 (.f64 (.f64 a c) -4))

series409.0ms (5.9%)

Counts

4 → 48

Calls

4 calls:

241.0ms	(.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (/.f64 1 (.f64 a 2)))
144.0ms	(+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b))
19.0ms	(sqrt.f64 (.f64 (.f64 a c) -4))
5.0ms	(.f64 (.f64 a c) -4)

rewrite109.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

750×	`prod-diff_binary64`
214×	`egg-rr`
157×	`add-sqr-sqrt_binary64`
149×	`log1p-expm1-u_binary64`
149×	`expm1-log1p-u_binary64`

Counts

4 → 214

Calls

4 calls:

104.0ms	(.f64 (.f64 a c) -4)
104.0ms	(.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (/.f64 1 (.f64 a 2)))
104.0ms	(+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b))
104.0ms	(sqrt.f64 (.f64 (.f64 a c) -4))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	374	56
2	4541	56
3	5914	56
0	0	0
1	0	0

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

437×	`rules-15-rev_binary64`
424×	`fma-neg_binary64`
381×	`rules-12-rev_binary64`
376×	`rules-20_binary64`
338×	`rules-11_binary64`

Counts

262 → 260

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1160
1	325	1086
2	1462	1081
3	5718	1081

prune271.0ms (3.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	255	5	260
Fresh	4	8	12
Picked	1	0	1
Done	0	1	1
Total	260	14	274

Error

8.0b

Counts

274 → 14

Alt Table

Status	Error	Program
✓	33.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b)))) (.f64 a 2))
▶	35.5b	(.f64 (+.f64 (hypot.f64 b (sqrt.f64 (+.f64 (fma.f64 a (.f64 -4 c) (neg.f64 (.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4)) (.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4))))))) (neg.f64 b)) (/.f64 1 (*.f64 a 2)))
	57.1b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 a 2))
	44.2b	(.f64 (.f64 -2 b) (/.f64 1 (*.f64 a 2)))
	36.2b	(/.f64 (.f64 (neg.f64 b) (+.f64 1 (/.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)))) (.f64 a 2))
	44.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.2b	(*.f64 -1 (/.f64 b a))
	35.5b	(/.f64 (/.f64 1/2 a) (/.f64 1 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b))))
	35.8b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (*.f64 a 2))) 3)
	46.9b	(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b)))
	35.5b	(/.f64 1 (/.f64 (.f64 a 2) (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) (neg.f64 b))))
	41.7b	(*.f64 -1 (/.f64 c b))
	40.7b	(.f64 (+.f64 (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 (.f64 a c) -4) 3/2))) (neg.f64 b)) (/.f64 1 (.f64 a 2)))
	55.8b	(pow.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (*.f64 a 2)) 3) 1/3)

Compiler

Compiled 8547 to 5369 computations (37.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 (hypot.f64 b (sqrt.f64 (+.f64 (fma.f64 a (.f64 -4 c) (neg.f64 (.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4)) (.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4))))))) (neg.f64 b)) (/.f64 1 (*.f64 a 2)))
✓	1.2b	(+.f64 (hypot.f64 b (sqrt.f64 (+.f64 (fma.f64 a (.f64 -4 c) (neg.f64 (.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4)) (.f64 0 (sqrt.f64 (.f64 (*.f64 a c) -4))))))) (neg.f64 b))
✓	11.9b	(sqrt.f64 (+.f64 (fma.f64 a (.f64 -4 c) (neg.f64 (.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (.f64 (.f64 a c) -4)) (.f64 0 (sqrt.f64 (.f64 (*.f64 a c) -4))))))
	14.9b	(sqrt.f64 (.f64 (.f64 a c) -4))

series469.0ms (6.8%)

Counts

3 → 24

Calls

3 calls:

269.0ms

(*.f64 (+.f64 (hypot.f64 b (sqrt.f64 (+.f64 (fma.f64 a (*.f64 -4 c) (neg.f64 (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4)) (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (neg.f64 b)) (/.f64 1 (*.f64 a 2)))

166.0ms

(+.f64 (hypot.f64 b (sqrt.f64 (+.f64 (fma.f64 a (*.f64 -4 c) (neg.f64 (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4)) (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (neg.f64 b))

34.0ms

(sqrt.f64 (+.f64 (fma.f64 a (*.f64 -4 c) (neg.f64 (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4)) (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))

rewrite80.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

345×	`expm1-udef_binary64`
345×	`log1p-udef_binary64`
220×	`log1p-expm1-u_binary64`
220×	`expm1-log1p-u_binary64`
217×	`add-log-exp_binary64`

Counts

3 → 92

Calls

3 calls:

78.0ms

(*.f64 (+.f64 (hypot.f64 b (sqrt.f64 (+.f64 (fma.f64 a (*.f64 -4 c) (neg.f64 (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4)) (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (neg.f64 b)) (/.f64 1 (*.f64 a 2)))

78.0ms

(+.f64 (hypot.f64 b (sqrt.f64 (+.f64 (fma.f64 a (*.f64 -4 c) (neg.f64 (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4)) (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (neg.f64 b))

78.0ms

(sqrt.f64 (+.f64 (fma.f64 a (*.f64 -4 c) (neg.f64 (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (fma.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4)) (*.f64 0 (sqrt.f64 (*.f64 (*.f64 a c) -4))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	169
1	555	52
2	4279	52
3	5224	52
0	0	0
1	0	0

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

410×	`rules-15-rev_binary64`
361×	`rules-12-rev_binary64`
359×	`rules-20_binary64`
359×	`fma-neg_binary64`
316×	`rules-11_binary64`

Counts

116 → 137

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1084
1	323	1010
2	1414	1001
3	5359	1001

prune238.0ms (3.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	240	2	242
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	242	14	256

Error

8.0b

Counts

256 → 14

Alt Table

Status	Error	Program
	35.5b	(.f64 (+.f64 (hypot.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 -4 c) 0) 1/4) 2)) (neg.f64 b)) (/.f64 1 (*.f64 a 2)))
	40.7b	(.f64 (+.f64 (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 (.f64 a c) -4) 3/2))) (neg.f64 b)) (/.f64 1 (.f64 a 2)))
	57.1b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 a 2))
	44.2b	(.f64 (.f64 -2 b) (/.f64 1 (*.f64 a 2)))
	36.2b	(/.f64 (.f64 (neg.f64 b) (+.f64 1 (/.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)))) (.f64 a 2))
	44.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.2b	(*.f64 -1 (/.f64 b a))
	35.5b	(/.f64 (/.f64 1/2 a) (/.f64 1 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b))))
	46.9b	(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3)) (/.f64 c b)))
	35.5b	(/.f64 1 (/.f64 (.f64 a 2) (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4))) (neg.f64 b))))
	41.7b	(*.f64 -1 (/.f64 c b))
	37.1b	(.f64 (sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (fma.f64 a (.f64 -4 c) 0))) (neg.f64 b)) 2)) (/.f64 1 (*.f64 a 2)))
✓	33.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 (.f64 a c) -4) (.f64 b b)))) (.f64 a 2))
	55.8b	(pow.f64 (pow.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4))) (neg.f64 b)) (*.f64 a 2)) 3) 1/3)

Compiler

Compiled 9019 to 6107 computations (32.3% saved)

regimes846.0ms (12.3%)

Accuracy

Total 4.8b remaining (45.7%)

Threshold costs 0b (0%)

Counts

108 → 3

Compiler

Compiled 9332 to 6850 computations (26.6% saved)

bsearch60.0ms (0.9%)

Steps

Iters	Range		Point
7	1.1087141635383997e-135	1.768822076151751e-133	1.7395089149105223e-133
7	-1.914070448329466e+97	-5.056615551157693e+95	-3.1753339310009816e+96

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	57
1	31	57
2	30	57

end178.0ms (2.6%)

Compiler: Compiled 322 to 232 computations (28% saved)

Details

analyze668.0ms (9.7%)

sample2.3s (33.7%)

simplify34.0ms (0.5%)

prune3.0ms (0%)

localize11.0ms (0.2%)

series182.0ms (2.6%)

rewrite93.0ms (1.4%)

simplify62.0ms (0.9%)

prune188.0ms (2.7%)

localize12.0ms (0.2%)

series196.0ms (2.8%)

rewrite96.0ms (1.4%)

simplify61.0ms (0.9%)

prune180.0ms (2.6%)

localize13.0ms (0.2%)

series409.0ms (5.9%)

rewrite109.0ms (1.6%)

simplify45.0ms (0.7%)

prune271.0ms (3.9%)

localize19.0ms (0.3%)

series469.0ms (6.8%)

rewrite80.0ms (1.2%)

simplify41.0ms (0.6%)

prune238.0ms (3.5%)

regimes846.0ms (12.3%)

bsearch60.0ms (0.9%)

simplify2.0ms (0%)

end178.0ms (2.6%)

Profiling