Details

analyze615.0ms (6.3%)

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)

sample136.0ms (1.4%)

Algorithm

1×

intervals

Results

15.0ms	37×	body	2048	valid
11.0ms	167×	body	128	valid
6.0ms	26×	body	1024	valid
5.0ms	14×	body	4096	valid
2.0ms	9×	body	512	valid
1.0ms	23×	body	128	nan
1.0ms	13×	body	128	invalid
0.0ms	3×	body	256	valid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify385.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2009×	`fma-neg_binary64`
1508×	`div-sub_binary64`
1334×	`associate-/l*_binary64`
1156×	`fma-def_binary64`
685×	`associate-/l/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	34	22
2	64	22
3	132	22
4	198	22
5	325	22
6	552	22
7	918	22
8	1352	22
9	1554	22
10	2359	22
11	3158	22
12	2565	22
13	2653	22
14	3219	22
15	3361	22
16	3461	22
17	3985	22
18	4171	22
19	4439	22
20	4659	22
21	4701	22
22	4757	22
23	4941	22
24	4941	22
25	3365	22
26	3059	22
27	2983	22
28	2985	22
29	2997	22
30	2997	22
31	2997	22
32	2997	22
33	2736	22

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

31.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	31.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
▶	31.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	21.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series189.0ms (1.9%)

Counts

4 → 96

Calls

4 calls:

82.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
53.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
44.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
10.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`fma-def_binary64`
10×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`

Counts

4 → 90

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
7.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
3.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
3.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-neg_binary64`
327×	`cancel-sign-sub-inv_binary64`
226×	`distribute-rgt-neg-in_binary64`
150×	`distribute-rgt-neg-out_binary64`
146×	`associate-r_binary64`

Counts

186 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	4202
1	693	3825
2	2488	3724
3	4652	3704
4	4985	3704

prune181.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	195	12	207
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	197	12	209

Error

5.3b

Counts

209 → 12

Alt Table

Status	Error	Program
▶	30.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	40.4b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) 3)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (.f64 2 a))
	40.1b	(neg.f64 (/.f64 c b))
	31.9b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	34.5b	(/.f64 (+.f64 (neg.f64 b) (.f64 (.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (*.f64 2 a))
	34.8b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	44.2b	(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
	50.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
	45.1b	(/.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
	50.3b	(/.f64 (fma.f64 -2 (+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) -4)) (*.f64 2 a))
	46.7b	(-.f64 (/.f64 c b) (/.f64 b a))
	46.4b	(/.f64 (neg.f64 b) a)

Compiler

Compiled 5927 to 3322 computations (44% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
✓	0.1b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
✓	13.2b	(sqrt.f64 (.f64 c (.f64 a -4)))

series1.1s (11.4%)

Counts

4 → 28

Calls

4 calls:

714.0ms	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
230.0ms	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
144.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
20.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`add-sqr-sqrt_binary64`
84×	`times-frac_binary64`
81×	`*-un-lft-identity_binary64`
59×	`add-cube-cbrt_binary64`
57×	`sqrt-prod_binary64`

Counts

4 → 182

Calls

4 calls:

22.0ms	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
5.0ms	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
4.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
3.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

simplify249.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
314×	`cancel-sign-sub-inv_binary64`
285×	`fma-neg_binary64`
192×	`associate-*r/_binary64`
180×	`*-commutative_binary64`

Counts

210 → 313

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	355	7302
1	885	6951
2	2998	6668
3	4737	6472
4	4964	6472
5	5000	6472
6	4892	6472

prune447.0ms (4.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	395	1	396
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	396	12	408

Error

5.3b

Counts

408 → 12

Alt Table

Status	Error	Program
✓	30.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	40.4b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) 3)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (.f64 2 a))
	40.1b	(neg.f64 (/.f64 c b))
	46.7b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.4b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (.f64 b b))) (.f64 a (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b))))))
	34.8b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	44.2b	(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
	50.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
	45.1b	(/.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
	50.3b	(/.f64 (fma.f64 -2 (+.f64 (/.f64 (.f64 c a) b) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) -4)) (*.f64 2 a))
▶	31.9b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	46.4b	(/.f64 (neg.f64 b) a)

Compiler

Compiled 16579 to 10741 computations (35.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
	0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
	0.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
	21.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series296.0ms (3%)

Counts

1 → 20

Calls

1 calls:

296.0ms

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

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`associate-/r*_binary64`
5×	`times-frac_binary64`

Counts

1 → 29

Calls

1 calls:

9.0ms

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

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-def_binary64`
673×	`associate-/l*_binary64`
426×	`associate-/r*_binary64`
215×	`associate-*l/_binary64`
170×	`associate-*r/_binary64`

Counts

49 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1496
1	374	1270
2	1252	1198
3	4719	1198
4	5288	1198

prune178.0ms (1.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	204	3	207
Fresh	5	5	10
Picked	0	1	1
Done	0	1	1
Total	209	10	219

Error

5.3b

Counts

219 → 10

Alt Table

Status	Error	Program
✓	30.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	40.4b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) 3)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (.f64 2 a))
	40.1b	(neg.f64 (/.f64 c b))
	46.7b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.4b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (.f64 b b))) (.f64 a (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b))))))
▶	29.6b	(/.f64 1 (.f64 (/.f64 (.f64 a 2) (.f64 4 (.f64 c a))) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
	46.4b	(/.f64 1 (neg.f64 (/.f64 a b)))
	39.9b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
✓	31.9b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	34.8b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))

Compiler

Compiled 6197 to 3664 computations (40.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	1.2b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	13.7b	(/.f64 (.f64 a 2) (.f64 4 (*.f64 c a)))
	21.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series89.0ms (0.9%)

Counts

2 → 44

Calls

2 calls:

84.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
5.0ms	(/.f64 (.f64 a 2) (.f64 4 (*.f64 c a)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`prod-diff_binary64`
49×	`*-un-lft-identity_binary64`
49×	`add-sqr-sqrt_binary64`
45×	`add-cube-cbrt_binary64`
34×	`sqrt-prod_binary64`

Counts

2 → 122

Calls

2 calls:

10.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
6.0ms	(/.f64 (.f64 a 2) (.f64 4 (*.f64 c a)))

simplify147.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-neg_binary64`
534×	`fma-def_binary64`
470×	`associate-/l/_binary64`
209×	`times-frac_binary64`
152×	`cancel-sign-sub-inv_binary64`

Counts

166 → 163

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	6008
1	576	3949
2	2348	2912
3	4939	2910
4	5174	2910

prune238.0ms (2.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	246	10	256

Error

5.3b

Counts

256 → 10

Alt Table

Status	Error	Program
✓	30.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	40.4b	(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) 3)) (+.f64 (.f64 (neg.f64 b) (neg.f64 b)) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) (.f64 2 a))
	40.1b	(neg.f64 (/.f64 c b))
	46.7b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.4b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (.f64 b b))) (.f64 a (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b))))))
✓	29.6b	(/.f64 1 (.f64 (/.f64 (.f64 a 2) (.f64 4 (.f64 c a))) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
	46.4b	(/.f64 1 (neg.f64 (/.f64 a b)))
	39.9b	(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
✓	31.9b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	34.8b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))

Compiler

Compiled 10958 to 5961 computations (45.6% saved)

regimes3.3s (33.7%)

Accuracy

Total 1.2b remaining (17.7%)

Threshold costs 0b (0%)

Counts

210 → 4

Compiler

Compiled 26426 to 18359 computations (30.5% saved)

bsearch91.0ms (0.9%)

Steps

Iters	Range	Point
6	4.09517550128626e+69	2.4703547138907317e+70	1.768600211528924e+70
4	-4.44138500771214e-283	-2.744554208186822e-283	-4.1182616308745104e-283
4	-1.0078860194937878e+114	-2.5037999500913393e+105	-2.471917755888911e+112

Iters

Range

Point

4.09517550128626e+69

2.4703547138907317e+70

1.768600211528924e+70

-4.44138500771214e-283

-2.744554208186822e-283

-4.1182616308745104e-283

-1.0078860194937878e+114

-2.5037999500913393e+105

-2.471917755888911e+112

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	93
1	63	91
2	85	91
3	110	91
4	124	89
5	134	89
6	138	89
7	139	89
8	136	89

end1.0ms (0%)

Compiler: Compiled 63 to 39 computations (38.1% saved)

sample1.7s (17.7%)

Algorithm

1×

intervals

Results

384.0ms	1097×	body	2048	valid
357.0ms	5247×	body	128	valid
188.0ms	709×	body	1024	valid
166.0ms	408×	body	4096	valid
71.0ms	359×	body	512	valid
39.0ms	633×	body	128	nan
22.0ms	349×	body	128	invalid
22.0ms	180×	body	256	valid

Compiler

Compiled 348 to 229 computations (34.2% saved)

Details

analyze615.0ms (6.3%)

sample136.0ms (1.4%)

simplify385.0ms (4%)

prune4.0ms (0%)

localize12.0ms (0.1%)

series189.0ms (1.9%)

rewrite27.0ms (0.3%)

simplify119.0ms (1.2%)

prune181.0ms (1.9%)

localize13.0ms (0.1%)

series1.1s (11.4%)

rewrite56.0ms (0.6%)

simplify249.0ms (2.6%)

prune447.0ms (4.6%)

localize15.0ms (0.2%)

series296.0ms (3%)

rewrite11.0ms (0.1%)

simplify74.0ms (0.8%)

prune178.0ms (1.8%)

localize18.0ms (0.2%)

series89.0ms (0.9%)

rewrite28.0ms (0.3%)

simplify147.0ms (1.5%)

prune238.0ms (2.4%)

regimes3.3s (33.7%)

bsearch91.0ms (0.9%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample1.7s (17.7%)

Profiling