Details

analyze661.0ms (8.5%)

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.4s (30.3%)

Results

760.0ms	5382×	body	128	valid
622.0ms	1147×	body	2048	valid
311.0ms	743×	body	1024	valid
285.0ms	428×	body	4096	valid
152.0ms	1140×	body	128	invalid
121.0ms	373×	body	512	valid
52.0ms	183×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
367×	`fma-def_binary64`
351×	`times-frac_binary64`
266×	`associate-/l*_binary64`
254×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	264	22
5	433	22
6	744	22
7	1341	22
8	2769	22
9	4702	22

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

36.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	36.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	37.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
✓	26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series136.0ms (1.7%)

Counts

4 → 96

Calls

4 calls:

60.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
36.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
30.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
9.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
158×	`egg-rr`
150×	`add-sqr-sqrt_binary64`
145×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	302	62
2	4451	62

Stop Event

1×	node limit

Counts

4 → 158

Calls

4 calls:

67.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
67.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
67.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
67.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

780×	`times-frac_binary64`
488×	`associate-/l*_binary64`
414×	`associate-/r*_binary64`
400×	`fma-def_binary64`
142×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2325
1	429	2249
2	1471	2208

Stop Event

1×	node limit

Counts

254 → 233

prune177.0ms (2.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	221	12	233
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	222	13	235

Error

6.1b

Counts

235 → 13

Alt Table

Status	Error	Program
▶	37.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	46.4b	(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) -3/8))
	40.0b	(*.f64 -1/2 (/.f64 c b))
	56.0b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	55.7b	(pow.f64 (sqrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 2)
	46.2b	(/.f64 (.f64 -2 b) (.f64 3 a))
	37.5b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	45.5b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (.f64 3 a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (cbrt.f64 (*.f64 3 a))))
	46.5b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
	46.3b	(/.f64 -2/3 (/.f64 a b))
	40.1b	(*.f64 (/.f64 -1/2 b) c)
	43.2b	(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
	37.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 6304 to 3949 computations (37.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 a -3))
✓	1.4b	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
✓	1.5b	(fma.f64 b b (.f64 c (.f64 a -3)))
✓	26.2b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

series87.0ms (1.1%)

Counts

4 → 88

Calls

4 calls:

40.0ms	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
31.0ms	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))
9.0ms	(fma.f64 b b (.f64 c (.f64 a -3)))
6.0ms	(/.f64 1 (*.f64 a -3))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`prod-diff_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
141×	`egg-rr`
124×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	253	42
2	3196	42

Stop Event

1×	node limit

Counts

4 → 141

Calls

4 calls:

67.0ms	(/.f64 1 (*.f64 a -3))
67.0ms	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))
67.0ms	(fma.f64 b b (.f64 c (.f64 a -3)))
67.0ms	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

455×	`times-frac_binary64`
407×	`fma-neg_binary64`
274×	`associate-/l*_binary64`
268×	`associate-r_binary64`
252×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1684
1	257	1618
2	813	1604
3	4438	1602

Stop Event

1×	node limit

Counts

229 → 195

prune166.0ms (2.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	192	16	208

Error

6.1b

Counts

208 → 16

Alt Table

Status	Error	Program
	37.5b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
▶	33.5b	(.f64 (.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2)) (/.f64 1 (*.f64 a -3)))
	40.1b	(*.f64 (/.f64 -1/2 b) c)
	46.3b	(.f64 (.f64 2 b) (/.f64 1 (*.f64 a -3)))
	40.0b	(*.f64 -1/2 (/.f64 c b))
	56.0b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	42.0b	(.f64 (.f64 3/2 (.f64 a (/.f64 c b))) (/.f64 1 (.f64 a -3)))
	55.7b	(pow.f64 (sqrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3))))) (/.f64 1/3 a))) 2)
	46.2b	(/.f64 (.f64 -2 b) (.f64 3 a))
	45.5b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (.f64 3 a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (cbrt.f64 (*.f64 3 a))))
	46.5b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
	46.3b	(/.f64 -2/3 (/.f64 a b))
✓	37.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	37.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (/.f64 1 a) -1/3))
	43.2b	(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
	37.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 6318 to 4295 computations (32% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (*.f64 a -3))
✓	0.3b	(cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
✓	0.7b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
✓	12.0b	(sqrt.f64 (.f64 c (.f64 a -3)))

series443.0ms (5.7%)

Counts

3 → 16

Calls

3 calls:

315.0ms	(cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
114.0ms	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
14.0ms	(sqrt.f64 (.f64 c (.f64 a -3)))

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
238×	`fma-def_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
140×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	233	41
2	2904	41

Stop Event

1×	node limit

Counts

3 → 140

Calls

3 calls:

66.0ms	(cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3))))))
66.0ms	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
66.0ms	(sqrt.f64 (.f64 c (.f64 a -3)))

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

529×	`associate-r_binary64`
502×	`associate-l_binary64`
345×	`times-frac_binary64`
294×	`fma-def_binary64`
227×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	972
1	331	897
2	1068	849

Stop Event

1×	node limit

Counts

156 → 172

prune404.0ms (5.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	366	4	370
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	368	18	386

Error

6.1b

Counts

386 → 18

Alt Table

Status	Error	Program
	34.7b	(.f64 (.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c)))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c)))))))) 2)) (/.f64 1 (.f64 a -3)))
✓	37.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
▶	33.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (neg.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c)))))) b)) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2)) (/.f64 1 (*.f64 a -3)))
	37.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (/.f64 1 a) -1/3))
	40.1b	(*.f64 (/.f64 -1/2 b) c)
	46.3b	(.f64 (.f64 2 b) (/.f64 1 (*.f64 a -3)))
	50.0b	(.f64 (.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))))) 2)) (/.f64 1 (*.f64 a -3)))
	40.0b	(*.f64 -1/2 (/.f64 c b))
	56.0b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	42.0b	(.f64 (.f64 3/2 (.f64 a (/.f64 c b))) (/.f64 1 (.f64 a -3)))
	46.2b	(/.f64 (.f64 -2 b) (.f64 3 a))
	37.5b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	45.5b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (.f64 3 a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (cbrt.f64 (*.f64 3 a))))
	46.5b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
	46.3b	(/.f64 -2/3 (/.f64 a b))
	33.6b	(.f64 (.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2)) (pow.f64 (cbrt.f64 (/.f64 -1/3 a)) 3))
	43.2b	(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))
	37.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 18275 to 12964 computations (29.1% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))
✓	12.0b	(sqrt.f64 (.f64 a (.f64 -3 c)))
	12.0b	(sqrt.f64 (.f64 c (.f64 a -3)))
✓	12.4b	(fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (neg.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c)))))) b)

series309.0ms (4%)

Counts

2 → 6

Calls

2 calls:

292.0ms	(fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (neg.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c)))))) b)
17.0ms	(sqrt.f64 (.f64 a (.f64 -3 c)))

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log-prod_binary64`
334×	`prod-diff_binary64`
191×	`expm1-udef_binary64`
191×	`log1p-udef_binary64`
180×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	246	24
2	2907	24

Stop Event

1×	node limit

Counts

2 → 62

Calls

2 calls:

49.0ms	(sqrt.f64 (.f64 a (.f64 -3 c)))
49.0ms	(fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (neg.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c)))))) b)

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

822×	`fma-neg_binary64`
680×	`cancel-sign-sub-inv_binary64`
566×	`associate-/l*_binary64`
352×	`associate-/r*_binary64`
221×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	112
1	64	106
2	169	106
3	704	102
4	3923	100

Stop Event

1×	node limit

Counts

68 → 70

prune291.0ms (3.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	239	2	241
Fresh	2	14	16
Picked	1	0	1
Done	0	1	1
Total	242	17	259

Error

6.1b

Counts

259 → 17

Alt Table

Status	Error	Program
	49.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (neg.f64 (sqrt.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 -3 c)) (sqrt.f64 a))))) b)) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2)) (/.f64 1 (*.f64 a -3)))
	37.5b	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 1/4) 2)) (*.f64 3 a))
	40.1b	(*.f64 (/.f64 -1/2 b) c)
	46.3b	(.f64 (.f64 2 b) (/.f64 1 (*.f64 a -3)))
	50.0b	(.f64 (.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -3)) (sqrt.f64 c))))) 2)) (/.f64 1 (*.f64 a -3)))
	40.0b	(*.f64 -1/2 (/.f64 c b))
	56.0b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 3 a))
	42.0b	(.f64 (.f64 3/2 (.f64 a (/.f64 c b))) (/.f64 1 (.f64 a -3)))
	44.5b	(.f64 (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (neg.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c)))))) b)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c))))))) (-.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 -3 c)))))))) 2)) (/.f64 1 (*.f64 a -3)))
	46.2b	(/.f64 (.f64 -2 b) (.f64 3 a))
	45.5b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (.f64 3 a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (cbrt.f64 (*.f64 3 a))))
	46.5b	(-.f64 (.f64 1/2 (/.f64 c b)) (.f64 2/3 (/.f64 b a)))
	46.3b	(/.f64 -2/3 (/.f64 a b))
	33.6b	(.f64 (.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -3)))))) 2)) (pow.f64 (cbrt.f64 (/.f64 -1/3 a)) 3))
✓	37.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (/.f64 1 (.f64 a -3)))
	37.0b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))) (.f64 (/.f64 1 a) -1/3))
	43.2b	(.f64 1/3 (/.f64 (sqrt.f64 (neg.f64 (.f64 3 (*.f64 c a)))) a))

Compiler

Compiled 12953 to 9205 computations (28.9% saved)

regimes1.9s (24.2%)

Accuracy

Total 5.4b remaining (50.4%)

Threshold costs 0b (0%)

Counts

106 → 3

Compiler

Compiled 15145 to 10821 computations (28.6% saved)

bsearch69.0ms (0.9%)

Steps

Iters	Range		Point
7	6.50479829255476e-133	2.9832295837433247e-131	2.9350068114829517e-131
8	-4.072102315043158e+39	-2.691899986403333e+36	-4.0163636703505e+39

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	55
1	40	53
2	60	53
3	69	53
4	75	53
5	77	53

Stop Event

1×

saturated

end294.0ms (3.8%)

Compiler: Compiled 467 to 339 computations (27.4% saved)

Details

analyze661.0ms (8.5%)

sample2.4s (30.3%)

simplify31.0ms (0.4%)

prune4.0ms (0%)

localize9.0ms (0.1%)

series136.0ms (1.7%)

rewrite70.0ms (0.9%)

simplify46.0ms (0.6%)

prune177.0ms (2.3%)

localize10.0ms (0.1%)

series87.0ms (1.1%)

rewrite71.0ms (0.9%)

simplify54.0ms (0.7%)

prune166.0ms (2.1%)

localize12.0ms (0.2%)

series443.0ms (5.7%)

rewrite69.0ms (0.9%)

simplify29.0ms (0.4%)

prune404.0ms (5.2%)

localize24.0ms (0.3%)

series309.0ms (4%)

rewrite51.0ms (0.6%)

simplify28.0ms (0.4%)

prune291.0ms (3.7%)

regimes1.9s (24.2%)

bsearch69.0ms (0.9%)

simplify5.0ms (0.1%)

end294.0ms (3.8%)

Profiling