Details

analyze622.0ms (5.8%)

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 (21.4%)

Results

720.0ms	5416×	body	128	valid
596.0ms	1098×	body	2048	valid
339.0ms	786×	body	1024	valid
255.0ms	407×	body	4096	valid
140.0ms	1088×	body	128	invalid
121.0ms	360×	body	512	valid
43.0ms	189×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify375.0ms (3.5%)

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

32.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	32.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	32.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	1.0b	(-.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)))))
✓	22.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series403.0ms (3.7%)

Counts

4 → 96

Calls

4 calls:

195.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
157.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
40.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
10.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

rewrite33.0ms (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:

13.0ms	(/.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)))))
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
3.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

simplify126.0ms (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

prune188.0ms (1.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	196	11	207
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	196	13	209

Error

5.7b

Counts

209 → 13

Alt Table

Status	Error	Program
	46.7b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	32.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	55.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	46.0b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))
	32.1b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.9b	(neg.f64 (/.f64 c b))
	58.6b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) a))))
	46.5b	(/.f64 (neg.f64 b) a)
	34.0b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	33.7b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a))
▶	32.0b	(.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))
	32.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) 2) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a))
	32.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

Compiler

Compiled 5755 to 3240 computations (43.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
✓	0.2b	(.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))
✓	0.2b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
✓	14.0b	(sqrt.f64 (.f64 c (.f64 a -4)))

series891.0ms (8.2%)

Counts

4 → 28

Calls

4 calls:

505.0ms	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
222.0ms	(.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))
146.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
18.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite54.0ms (0.5%)

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:

20.0ms	(.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)
3.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
3.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

simplify263.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
314×	`cancel-sign-sub-inv_binary64`
285×	`fma-neg_binary64`
193×	`associate-*r/_binary64`
182×	`associate-/l*_binary64`

Counts

210 → 313

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	355	7676
1	885	6951
2	2998	6668
3	4737	6472
4	4964	6472
5	5000	6472
6	4892	6472

prune395.0ms (3.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	392	4	396
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	396	13	409

Error

5.7b

Counts

409 → 13

Alt Table

Status	Error	Program
	46.7b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	32.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	34.0b	(/.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	(.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))))))
	47.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))) b) b)) a))
	32.1b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.9b	(neg.f64 (/.f64 c b))
	58.6b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) a))))
	32.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b)) 2) (fabs.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b)))) (/.f64 (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) a))
	46.5b	(/.f64 (neg.f64 b) a)
	55.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	49.5b	(fma.f64 1/4 (/.f64 (.f64 -4 c) b) (fma.f64 1/32 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (.f64 a (pow.f64 b 5))) (fma.f64 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 4) (.f64 a (pow.f64 b 7))) -5/256 (.f64 (.f64 (.f64 -4 c) (/.f64 (.f64 -4 (.f64 c a)) (pow.f64 b 3))) -1/16))))
▶	32.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

Compiler

Compiled 16559 to 10768 computations (35% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	1.2b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	22.4b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series177.0ms (1.6%)

Counts

4 → 96

Calls

4 calls:

77.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
48.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
40.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
12.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
17×	`sqrt-prod_binary64`

Counts

4 → 109

Calls

4 calls:

8.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
4.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
1.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
0.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

simplify194.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

527×	`fma-neg_binary64`
338×	`distribute-rgt-in_binary64`
273×	`cancel-sign-sub-inv_binary64`
155×	`associate-l_binary64`
153×	`associate-r_binary64`

Counts

205 → 231

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	5424
1	673	4468
2	2524	4293
3	4550	4293
4	4991	4293
5	4994	4293
6	4884	4293

prune209.0ms (1.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	231	13	244

Error

5.7b

Counts

244 → 13

Alt Table

Status	Error	Program
	46.7b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	32.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	34.0b	(/.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	(.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))))))
	47.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))) b) b)) a))
▶	32.1b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.9b	(neg.f64 (/.f64 c b))
	55.8b	(*.f64 (-.f64 b b) (/.f64 1/2 a))
	58.6b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) a))))
	32.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b)) 2) (fabs.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b)))) (/.f64 (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) a))
	46.5b	(/.f64 (neg.f64 b) a)
	49.5b	(fma.f64 1/4 (/.f64 (.f64 -4 c) b) (fma.f64 1/32 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (.f64 a (pow.f64 b 5))) (fma.f64 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 4) (.f64 a (pow.f64 b 7))) -5/256 (.f64 (.f64 (.f64 -4 c) (/.f64 (.f64 -4 (.f64 c a)) (pow.f64 b 3))) -1/16))))
✓	32.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

Compiler

Compiled 6577 to 3878 computations (41% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	1.0b	(-.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)))))
	22.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series81.0ms (0.7%)

Counts

1 → 20

Calls

1 calls:

80.0ms

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

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`times-frac_binary64`
37×	`*-un-lft-identity_binary64`
22×	`add-exp-log_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`

Counts

1 → 74

Calls

1 calls:

16.0ms

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

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

665×	`associate-/l*_binary64`
599×	`div-sub_binary64`
346×	`fma-def_binary64`
296×	`fma-neg_binary64`
265×	`associate-/r/_binary64`

Counts

94 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	3247
1	434	2847
2	1512	2670
3	4587	2670
4	6171	2670

prune209.0ms (1.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	256	1	257
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	256	14	270

Error

5.7b

Counts

270 → 14

Alt Table

Status	Error	Program
	46.7b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	32.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	34.0b	(/.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	(.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))))))
	47.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))) b) b)) a))
✓	32.1b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.9b	(neg.f64 (/.f64 c b))
	55.8b	(*.f64 (-.f64 b b) (/.f64 1/2 a))
	58.6b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) a))))
	32.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b)) 2) (fabs.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b)))) (/.f64 (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) a))
	46.5b	(/.f64 (neg.f64 b) a)
	46.6b	(/.f64 1 (/.f64 (.f64 2 a) (.f64 b -2)))
	49.5b	(fma.f64 1/4 (/.f64 (.f64 -4 c) b) (fma.f64 1/32 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 3) (.f64 a (pow.f64 b 5))) (fma.f64 (/.f64 (pow.f64 (.f64 -4 (.f64 c a)) 4) (.f64 a (pow.f64 b 7))) -5/256 (.f64 (.f64 (.f64 -4 c) (/.f64 (.f64 -4 (.f64 c a)) (pow.f64 b 3))) -1/16))))
✓	32.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

Compiler

Compiled 7785 to 4553 computations (41.5% saved)

regimes3.7s (34.4%)

Accuracy

Total 3.3b remaining (36.5%)

Threshold costs 0b (0%)

Counts

206 → 4

Compiler

Compiled 21680 to 15206 computations (29.9% saved)

bsearch117.0ms (1.1%)

Steps

Iters	Range	Point
7	1.385437444728236e+101	9.54664635571292e+102	2.3361535024269667e+101
7	3.555679662482471e-165	7.472419051743934e-148	3.9562943804830147e-153
7	-2.0090974871823676e+135	-7.483300153678867e+133	-1.747572511563342e+134

Iters

Range

Point

1.385437444728236e+101

9.54664635571292e+102

2.3361535024269667e+101

3.555679662482471e-165

7.472419051743934e-148

3.9562943804830147e-153

-2.0090974871823676e+135

-7.483300153678867e+133

-1.747572511563342e+134

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
8×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	89
1	56	87
2	67	87
3	73	87
4	75	87
5	75	87

end235.0ms (2.2%)

Compiler: Compiled 455 to 308 computations (32.3% saved)

Details

analyze622.0ms (5.8%)

sample2.3s (21.4%)

simplify375.0ms (3.5%)

prune4.0ms (0%)

localize10.0ms (0.1%)

series403.0ms (3.7%)

rewrite33.0ms (0.3%)

simplify126.0ms (1.2%)

prune188.0ms (1.7%)

localize14.0ms (0.1%)

series891.0ms (8.2%)

rewrite54.0ms (0.5%)

simplify263.0ms (2.4%)

prune395.0ms (3.7%)

localize9.0ms (0.1%)

series177.0ms (1.6%)

rewrite21.0ms (0.2%)

simplify194.0ms (1.8%)

prune209.0ms (1.9%)

localize13.0ms (0.1%)

series81.0ms (0.7%)

rewrite24.0ms (0.2%)

simplify107.0ms (1%)

prune209.0ms (1.9%)

regimes3.7s (34.4%)

bsearch117.0ms (1.1%)

simplify4.0ms (0%)

end235.0ms (2.2%)

Profiling