Details

analyze643.0ms (4.8%)

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)

sample2.8s (20.6%)

Results

945.0ms	1182×	body	2048	valid
723.0ms	5363×	body	128	valid
390.0ms	774×	body	1024	valid
237.0ms	381×	body	4096	valid
135.0ms	1061×	body	128	invalid
125.0ms	367×	body	512	valid
47.0ms	189×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify141.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2079×	`fma-neg_binary64`
1006×	`fma-def_binary64`
919×	`div-sub_binary64`
626×	`distribute-rgt-in_binary64`
435×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	95	24
3	227	22
4	357	22
5	614	22
6	1103	22
7	1373	22
8	1636	22
9	2330	22
10	3187	22
11	2880	22
12	2827	22
13	2896	22
14	2922	22
15	3797	22
16	4824	22
17	5240	22

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

33.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	33.8b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))

Compiler

Compiled 71 to 46 computations (35.2% 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))
✓	0.1b	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
✓	1.5b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	23.5b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series166.0ms (1.2%)

Counts

4 → 96

Calls

4 calls:

67.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
47.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
43.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
9.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 77

Calls

4 calls:

4.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
3.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 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))

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

834×	`times-frac_binary64`
539×	`associate-/l*_binary64`
468×	`fma-def_binary64`
198×	`cancel-sign-sub-inv_binary64`
125×	`associate-/r/_binary64`

Counts

173 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3876
1	521	3658
2	1578	3494
3	5011	3494

prune149.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	181	12	193
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	181	13	194

Error

5.9b

Counts

194 → 13

Alt Table

Status	Error	Program
✓	33.8b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))
	54.3b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	47.0b	(.f64 -1/2 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 3)) (.f64 a (+.f64 (.f64 b b) (-.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))))))))
	45.3b	(.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a) 3)))
	45.0b	(.f64 -1/2 (.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	43.0b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a))
	40.7b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	46.1b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	33.2b	(.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) a))
	46.4b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
▶	31.4b	(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a)))
	31.8b	(.f64 -1/2 (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a)) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a))) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))))
	33.9b	(.f64 -1/2 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (/.f64 1 a)))

Compiler

Compiled 5405 to 3279 computations (39.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a)
✓	0.2b	(.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))
✓	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
✓	11.8b	(sqrt.f64 (.f64 c (.f64 a -4)))

series738.0ms (5.5%)

Counts

4 → 34

Calls

4 calls:

407.0ms	(/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a)
188.0ms	(.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))
126.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
18.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
38×	`sqrt-prod_binary64`
37×	`add-cube-cbrt_binary64`

Counts

4 → 136

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))
5.0ms	(/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a)
3.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
3.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

simplify141.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

708×	`associate-/r*_binary64`
438×	`associate-*l/_binary64`
388×	`fma-def_binary64`
255×	`associate-/l/_binary64`
179×	`cancel-sign-sub-inv_binary64`

Counts

170 → 246

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	259	5654
1	626	5069
2	1944	4876
3	4989	4872
4	4969	4872

prune289.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	311	4	315
Fresh	4	7	11
Picked	1	0	1
Done	0	1	1
Total	316	12	328

Error

5.9b

Counts

328 → 12

Alt Table

Status	Error	Program
	31.8b	(.f64 -1/2 (.f64 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (fabs.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (cbrt.f64 a))))
✓	33.8b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))
	54.3b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	45.3b	(.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a) 3)))
	45.0b	(.f64 -1/2 (.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	43.0b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a))
	40.7b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	46.1b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
▶	31.3b	(.f64 -1/2 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) (/.f64 1 a)))
	46.4b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
	31.5b	(.f64 -1/2 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))))
	32.3b	(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (exp.f64 (log.f64 (sqrt.f64 (.f64 -4 (.f64 c a)))))))) a)))

Compiler

Compiled 12800 to 8377 computations (34.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -4 (.f64 c a))
✓	0.2b	(.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1 a))
✓	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))
✓	11.8b	(sqrt.f64 (.f64 -4 (.f64 c a)))

series344.0ms (2.6%)

Counts

4 → 28

Calls

4 calls:

192.0ms	(.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1 a))
126.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))
21.0ms	(sqrt.f64 (.f64 -4 (.f64 c a)))
5.0ms	(.f64 -4 (.f64 c a))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-exp-log_binary64`
17×	`pow1_binary64`
14×	`associate-r_binary64`

Counts

4 → 94

Calls

4 calls:

11.0ms	(.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))) (/.f64 1 a))
4.0ms	(.f64 -4 (.f64 c a))
3.0ms	(sqrt.f64 (.f64 -4 (.f64 c a)))
2.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-def_binary64`
684×	`associate-/r*_binary64`
258×	`associate-*l/_binary64`
196×	`distribute-rgt-in_binary64`
185×	`distribute-lft-in_binary64`

Counts

122 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2732
1	536	2467
2	1760	2419
3	4712	2419
4	5151	2419

prune141.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	159	12	171

Error

5.9b

Counts

171 → 12

Alt Table

Status	Error	Program
	31.8b	(.f64 -1/2 (.f64 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (fabs.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (cbrt.f64 a))))
✓	33.8b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))
	54.3b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	45.3b	(.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a) 3)))
	45.0b	(.f64 -1/2 (.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	43.0b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a))
	40.7b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	46.1b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
✓	31.3b	(.f64 -1/2 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) (/.f64 1 a)))
	46.4b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
▶	31.5b	(.f64 -1/2 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))))
	32.3b	(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (exp.f64 (log.f64 (sqrt.f64 (.f64 -4 (.f64 c a)))))))) a)))

Compiler

Compiled 4766 to 3038 computations (36.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a)
✓	0.2b	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))
	0.6b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
	11.8b	(sqrt.f64 (.f64 c (.f64 a -4)))

series4.9s (36.4%)

Counts

1 → 14

Calls

1 calls:

4.9s	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
35×	`sqrt-prod_binary64`
27×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64`
25×	`associate-r_binary64`

Counts

1 → 64

Calls

1 calls:

13.0ms

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

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-def_binary64`
544×	`associate-/r*_binary64`
516×	`associate-*l/_binary64`
221×	`associate-/l/_binary64`
196×	`associate-/r/_binary64`

Counts

78 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	4376
1	562	3764
2	1772	3586
3	4630	3578
4	4948	3578

prune441.0ms (3.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	392	1	393
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	393	12	405

Error

5.9b

Counts

405 → 12

Alt Table

Status	Error	Program
	31.8b	(.f64 -1/2 (.f64 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (fabs.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))))) (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (cbrt.f64 a))))
✓	33.8b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))
	54.3b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	45.3b	(.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a) 3)))
	45.0b	(.f64 -1/2 (.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	43.0b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a))
	40.7b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	46.1b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
✓	31.3b	(.f64 -1/2 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) (/.f64 1 a)))
	46.4b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
✓	31.5b	(.f64 -1/2 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))))
	32.3b	(.f64 -1/2 (.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (exp.f64 (log.f64 (sqrt.f64 (.f64 -4 (*.f64 c a)))))))) a))))

Compiler

Compiled 21505 to 14556 computations (32.3% saved)

regimes1.9s (13.9%)

Accuracy

Total 4.9b remaining (46.7%)

Threshold costs 0b (0%)

Counts

156 → 3

Compiler

Compiled 18720 to 13110 computations (30% saved)

bsearch91.0ms (0.7%)

Steps

Iters	Range		Point
9	101600649214477.13	4.492680168926886e+20	4.429043665787866e+20
9	-6.876310976555821e-67	-9.732023727775236e-73	-3.376033428548411e-71

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	60
1	37	60
2	44	60
3	48	60
4	51	60
5	52	60
6	52	60

end195.0ms (1.4%)

Compiler: Compiled 380 to 261 computations (31.3% saved)

Details

analyze643.0ms (4.8%)

sample2.8s (20.6%)

simplify141.0ms (1.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series166.0ms (1.2%)

rewrite12.0ms (0.1%)

simplify83.0ms (0.6%)

prune149.0ms (1.1%)

localize11.0ms (0.1%)

series738.0ms (5.5%)

rewrite36.0ms (0.3%)

simplify141.0ms (1.1%)

prune289.0ms (2.2%)

localize10.0ms (0.1%)

series344.0ms (2.6%)

rewrite26.0ms (0.2%)

simplify94.0ms (0.7%)

prune141.0ms (1.1%)

localize17.0ms (0.1%)

series4.9s (36.4%)

rewrite24.0ms (0.2%)

simplify112.0ms (0.8%)

prune441.0ms (3.3%)

regimes1.9s (13.9%)

bsearch91.0ms (0.7%)

simplify3.0ms (0%)

end195.0ms (1.4%)

Profiling