Details

analyze612.0ms (5.9%)

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
25%	74.9%	0.1%	4
37.4%	62.4%	0.1%	5
37.4%	62.4%	0.1%	6
37.4%	56.2%	6.4%	7
45.2%	48.4%	6.4%	8
49.1%	42.1%	8.7%	9
51.5%	35.1%	13.4%	10
58.1%	27.7%	14.2%	11
60.8%	22.6%	16.5%	12
62.3%	18.7%	19%	13
66.2%	14.4%	19.4%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.0s (18.9%)

Infinites

8.2% of outputs are infinite.

Results

625.0ms	5580×	body	128	valid
487.0ms	1100×	body	2048	valid
248.0ms	674×	body	1024	valid
202.0ms	374×	body	4096	valid
89.0ms	340×	body	512	valid
74.0ms	647×	body	128	invalid
44.0ms	188×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify141.0ms (1.4%)

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

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

28.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	28.7b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
	28.8b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize11.0ms (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))
✓	0.8b	(-.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)))
✓	23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series186.0ms (1.8%)

Counts

4 → 96

Calls

4 calls:

76.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
54.0ms	(-.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)))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`add-sqr-sqrt_binary64`
62×	`*-un-lft-identity_binary64`
61×	`prod-diff_binary64`
50×	`add-cube-cbrt_binary64`
39×	`sqrt-prod_binary64`

Counts

4 → 162

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
8.0ms	(-.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)))

simplify183.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
335×	`cancel-sign-sub-inv_binary64`
185×	`associate-r_binary64`
176×	`unswap-sqr_binary64`
170×	`sub-neg_binary64`

Counts

258 → 277

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	315	7755
1	810	5940
2	2985	5417
3	4824	5409
4	5196	5409

prune247.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	267	10	277
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	269	10	279

Error

3.3b

Counts

279 → 10

Alt Table

Status	Error	Program
	44.6b	(/.f64 (-.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) 3)) (.f64 (.f64 2 a) (+.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)))))))))
	36.3b	(/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (*.f64 2 a))
	37.9b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) (*.f64 2 a))
	40.1b	(-.f64 (/.f64 c b) (/.f64 b a))
	28.7b	(/.f64 1 (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.2b	(/.f64 (neg.f64 b) a)
▶	28.7b	(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) 2) a)
	29.3b	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))) (.f64 2 a))
	33.7b	(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (neg.f64 (cbrt.f64 b)) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))) (.f64 2 a))
	41.5b	(neg.f64 (/.f64 c b))

Compiler

Compiled 10404 to 5539 computations (46.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) 2) a)
	0.8b	(-.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)))
	23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series77.0ms (0.7%)

Counts

1 → 20

Calls

1 calls:

76.0ms

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

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

159×	`times-frac_binary64`
119×	`*-un-lft-identity_binary64`
119×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
25×	`associate-/l*_binary64`

Counts

1 → 121

Calls

1 calls:

12.0ms

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

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

631×	`times-frac_binary64`
494×	`associate-/l*_binary64`
471×	`associate-/l/_binary64`
334×	`fma-neg_binary64`
243×	`div-sub_binary64`

Counts

141 → 180

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	5844
1	622	5693
2	1787	5493
3	4854	5493
4	5044	5493

prune648.0ms (6.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	386	0	386
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	386	10	396

Error

3.3b

Counts

396 → 10

Alt Table

Status	Error	Program
	44.6b	(/.f64 (-.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) 3)) (.f64 (.f64 2 a) (+.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)))))))))
	36.3b	(/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (*.f64 2 a))
	37.9b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) (*.f64 2 a))
	40.1b	(-.f64 (/.f64 c b) (/.f64 b a))
▶	28.7b	(/.f64 1 (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.2b	(/.f64 (neg.f64 b) a)
✓	28.7b	(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) 2) a)
	29.3b	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))) (.f64 2 a))
	33.7b	(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (neg.f64 (cbrt.f64 b)) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))) (.f64 2 a))
	41.5b	(neg.f64 (/.f64 c b))

Compiler

Compiled 14490 to 7839 computations (45.9% saved)

localize15.0ms (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)))))))
	0.8b	(-.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)))
	23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series109.0ms (1.1%)

Counts

1 → 20

Calls

1 calls:

109.0ms

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

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`times-frac_binary64`
39×	`*-un-lft-identity_binary64`
39×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
22×	`add-exp-log_binary64`

Counts

1 → 82

Calls

1 calls:

12.0ms

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

simplify160.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

655×	`associate-/l*_binary64`
318×	`fma-def_binary64`
303×	`fma-neg_binary64`
268×	`associate-/r/_binary64`
191×	`distribute-rgt-in_binary64`

Counts

102 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	3540
1	434	3295
2	1532	3091
3	4689	3085
4	4997	3085
5	4997	3085
6	4923	3085

prune665.0ms (6.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	327	2	329
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	329	10	339

Error

3.2b

Counts

339 → 10

Alt Table

Status	Error	Program
✓	28.7b	(/.f64 1 (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.2b	(/.f64 (neg.f64 b) a)
✓	28.7b	(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) 2) a)
	33.5b	(/.f64 (.f64 (.f64 4 (.f64 a c)) (/.f64 1/2 a)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
▶	29.3b	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))) (.f64 2 a))
	33.7b	(/.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (neg.f64 (cbrt.f64 b)) (neg.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))))) (.f64 2 a))
	36.9b	(.f64 (.f64 (.f64 4 (.f64 a c)) (/.f64 1/2 a)) (/.f64 1 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b)))
	36.3b	(/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (*.f64 2 a))
	41.5b	(neg.f64 (/.f64 c b))
	40.1b	(-.f64 (/.f64 c b) (/.f64 b a))

Compiler

Compiled 12690 to 7071 computations (44.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
	1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	9.3b	(-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
	23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series106.0ms (1%)

Counts

2 → 40

Calls

2 calls:

59.0ms

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

46.0ms

(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`sqrt-prod_binary64`
67×	`add-sqr-sqrt_binary64`
32×	`sqrt-pow1_binary64`
25×	`pow1_binary64`
24×	`sqrt-div_binary64`

Counts

2 → 130

Calls

2 calls:

18.0ms

(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))))

4.0ms

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

simplify138.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-def_binary64`
755×	`fma-neg_binary64`
252×	`cancel-sign-sub-inv_binary64`
214×	`distribute-rgt-neg-in_binary64`
190×	`distribute-lft-neg-in_binary64`

Counts

170 → 199

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	4466
1	552	3904
2	1850	3478
3	4464	3476
4	4896	3476

prune402.0ms (3.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	362	1	363
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	363	10	373

Error

3.2b

Counts

373 → 10

Alt Table

Status	Error	Program
	37.4b	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) 3))) (*.f64 2 a))
✓	29.3b	(/.f64 (-.f64 (neg.f64 b) (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))) (.f64 2 a))
✓	28.7b	(/.f64 1 (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.2b	(/.f64 (neg.f64 b) a)
✓	28.7b	(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) 2) a)
	33.5b	(/.f64 (.f64 (.f64 4 (.f64 a c)) (/.f64 1/2 a)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))))
	36.9b	(.f64 (.f64 (.f64 4 (.f64 a c)) (/.f64 1/2 a)) (/.f64 1 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) b)))
	36.3b	(/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (*.f64 2 a))
	41.5b	(neg.f64 (/.f64 c b))
	40.1b	(-.f64 (/.f64 c b) (/.f64 b a))

Compiler

Compiled 13778 to 7518 computations (45.4% saved)

regimes4.1s (39.6%)

Accuracy

Total 2.9b remaining (36.5%)

Threshold costs 0b (0%)

Counts

288 → 4

Compiler

Compiled 46920 to 29481 computations (37.2% saved)

bsearch111.0ms (1.1%)

Steps

Iters	Range	Point
2	1.488369780206393e+99	1.6843147016104815e+99	1.6598215864349702e+99
10	-5.429738131859581e-173	-3.365263410635357e-185	-2.2515171662899013e-173
6	-2.0442035117166355e+86	-2.2226452252353868e+85	-4.068668780742819e+85

Iters

Range

Point

1.488369780206393e+99

1.6843147016104815e+99

1.6598215864349702e+99

-5.429738131859581e-173

-3.365263410635357e-185

-2.2515171662899013e-173

-2.0442035117166355e+86

-2.2226452252353868e+85

-4.068668780742819e+85

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	103
1	59	101
2	83	101
3	110	101
4	126	101
5	134	101
6	136	101
7	135	101

end156.0ms (1.5%)

Compiler: Compiled 345 to 229 computations (33.6% saved)

Details

analyze612.0ms (5.9%)

sample2.0s (18.9%)

simplify141.0ms (1.4%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series186.0ms (1.8%)

rewrite48.0ms (0.5%)

simplify183.0ms (1.8%)

prune247.0ms (2.4%)

localize12.0ms (0.1%)

series77.0ms (0.7%)

rewrite34.0ms (0.3%)

simplify154.0ms (1.5%)

prune648.0ms (6.2%)

localize15.0ms (0.1%)

series109.0ms (1.1%)

rewrite23.0ms (0.2%)

simplify160.0ms (1.5%)

prune665.0ms (6.4%)

localize13.0ms (0.1%)

series106.0ms (1%)

rewrite41.0ms (0.4%)

simplify138.0ms (1.3%)

prune402.0ms (3.9%)

regimes4.1s (39.6%)

bsearch111.0ms (1.1%)

simplify6.0ms (0.1%)

end156.0ms (1.5%)

Profiling