Details

analyze701.0ms (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
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)

sample2.9s (24.1%)

Results

718.0ms	5337×	body	128	valid
652.0ms	1206×	body	2048	valid
601.0ms	366×	body	4096	valid
355.0ms	749×	body	1024	valid
154.0ms	1126×	body	128	invalid
148.0ms	417×	body	512	valid
68.0ms	181×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify140.0ms (1.2%)

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

36.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	36.1b	(.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)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
✓	0.9b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	24.4b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series175.0ms (1.5%)

Counts

3 → 60

Calls

3 calls:

72.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
59.0ms	(+.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)))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
5×	`distribute-lft-out_binary64`

Counts

3 → 67

Calls

3 calls:

5.0ms	(/.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)))

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

820×	`times-frac_binary64`
539×	`associate-/l*_binary64`
458×	`fma-def_binary64`
246×	`fma-neg_binary64`
189×	`cancel-sign-sub-inv_binary64`

Counts

127 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	3311
1	510	3170
2	1534	3008
3	4840	3008
4	4954	3008

prune173.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	156	13	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	13	170

Error

7.2b

Counts

170 → 13

Alt Table

Status	Error	Program
	48.8b	(.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (sqrt.f64 a)) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (sqrt.f64 a))))
	56.8b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	49.6b	(.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 a (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))
	51.0b	(.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) a) 3)))
	39.5b	(.f64 -1/2 (/.f64 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) a))
	39.1b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	46.1b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	46.8b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) a))
	46.4b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
	37.3b	(.f64 -1/2 (/.f64 (+.f64 b (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))))) a))
▶	35.4b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))))
	37.2b	(.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))) a))
	35.8b	(.f64 -1/2 (.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))) (cbrt.f64 a))))

Compiler

Compiled 4950 to 3004 computations (39.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
✓	0.1b	(/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
✓	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
✓	13.8b	(sqrt.f64 (.f64 a (.f64 c -4)))

series1.4s (11.9%)

Counts

4 → 42

Calls

4 calls:

754.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
370.0ms	(/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
265.0ms	(/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
23.0ms	(sqrt.f64 (.f64 a (.f64 c -4)))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64`
99×	`*-un-lft-identity_binary64`
65×	`add-sqr-sqrt_binary64`
65×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64`

Counts

4 → 164

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
4.0ms	(/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
3.0ms	(sqrt.f64 (.f64 a (.f64 c -4)))
2.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))

simplify171.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

502×	`associate-*l/_binary64`
496×	`fma-def_binary64`
478×	`fma-neg_binary64`
422×	`associate-/r/_binary64`
308×	`cancel-sign-sub-inv_binary64`

Counts

206 → 291

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	6252
1	644	5816
2	2163	5690
3	4938	5684
4	5187	5684

prune258.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	284	7	291
Fresh	8	4	12
Picked	0	1	1
Done	0	0	0
Total	292	12	304

Error

3.2b

Counts

304 → 12

Alt Table

Status	Error	Program
	37.3b	(.f64 -1/2 (/.f64 (+.f64 b (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))))) a))
	39.0b	(.f64 -1/2 (/.f64 1 (fma.f64 -1/2 (/.f64 a b) (.f64 (/.f64 b (*.f64 -4 c)) -2))))
	46.8b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) a))
	46.4b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
▶	35.4b	(.f64 -1/2 (/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))))
	45.3b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))))
	35.7b	(.f64 -1/2 (/.f64 1 (/.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (cbrt.f64 a)))))
	35.5b	(.f64 -1/2 (/.f64 1 (.f64 (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))
	39.5b	(.f64 -1/2 (/.f64 1 (.f64 (/.f64 b (*.f64 -4 c)) -2)))
	46.2b	(.f64 -1/2 (/.f64 1 (/.f64 a (.f64 2 b))))
	39.1b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
✓	35.4b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))))

Compiler

Compiled 9214 to 6098 computations (33.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
✓	0.2b	(/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
	13.8b	(sqrt.f64 (.f64 a (.f64 c -4)))

series542.0ms (4.6%)

Counts

2 → 28

Calls

2 calls:

335.0ms	(/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))
207.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))

rewrite82.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

585×	`times-frac_binary64`
348×	`*-un-lft-identity_binary64`
256×	`add-sqr-sqrt_binary64`
256×	`add-cube-cbrt_binary64`
46×	`distribute-lft-out_binary64`

Counts

2 → 338

Calls

2 calls:

13.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
5.0ms	(/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))

simplify375.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

651×	`associate-/l*_binary64`
385×	`fma-def_binary64`
322×	`associate-/l/_binary64`
236×	`associate-/r/_binary64`
211×	`distribute-rgt-in_binary64`

Counts

366 → 395

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	268	14663
1	711	13409
2	2122	13279
3	4661	13275
4	4998	13275
5	4942	13275

prune432.0ms (3.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	462	2	464
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	463	13	476

Error

3.2b

Counts

476 → 13

Alt Table

Status	Error	Program
	45.4b	(.f64 -1/2 (/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 -4 c))))))))
	35.7b	(.f64 -1/2 (/.f64 1 (/.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (cbrt.f64 a)))))
	46.8b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) a))
	46.4b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
✓	35.4b	(.f64 -1/2 (/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))))
	35.9b	(.f64 -1/2 (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (/.f64 1 a))) (/.f64 1 (.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (/.f64 (cbrt.f64 (/.f64 1 a)) (/.f64 1 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))
	45.3b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))))
	39.0b	(.f64 -1/2 (/.f64 1 (fma.f64 -1/2 (/.f64 a b) (.f64 (/.f64 b (*.f64 -4 c)) -2))))
▶	35.5b	(.f64 -1/2 (/.f64 1 (.f64 (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))
	39.5b	(.f64 -1/2 (/.f64 1 (.f64 (/.f64 b (*.f64 -4 c)) -2)))
	46.2b	(.f64 -1/2 (/.f64 1 (/.f64 a (.f64 2 b))))
	39.1b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
✓	35.4b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))))

Compiler

Compiled 17062 to 11956 computations (29.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))))
✓	0.2b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))))
	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))
	13.8b	(sqrt.f64 (.f64 a (.f64 c -4)))

series1.0s (8.7%)

Counts

2 → 20

Calls

2 calls:

669.0ms

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

369.0ms

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

rewrite63.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64`
85×	`times-frac_binary64`
72×	`*-un-lft-identity_binary64`
51×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`

Counts

2 → 142

Calls

2 calls:

26.0ms

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

5.0ms

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

simplify240.0ms (2%)

Algorithm

1×	egg-herbie

Rules

584×	`fma-neg_binary64`
570×	`associate-/r*_binary64`
370×	`associate-/l/_binary64`
308×	`fma-def_binary64`
306×	`associate-/r/_binary64`

Counts

162 → 223

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	7376
1	616	5978
2	2056	5965
3	4547	5963
4	4996	5963

prune469.0ms (3.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	361	0	361
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	361	13	374

Error

3.2b

Counts

374 → 13

Alt Table

Status	Error	Program
	45.4b	(.f64 -1/2 (/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 -4 c))))))))
	35.7b	(.f64 -1/2 (/.f64 1 (/.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (cbrt.f64 a)))))
	46.8b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) a))
	46.4b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
✓	35.4b	(.f64 -1/2 (/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))))
	35.9b	(.f64 -1/2 (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (/.f64 1 a))) (/.f64 1 (.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))) (/.f64 (cbrt.f64 (/.f64 1 a)) (/.f64 1 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))
	45.3b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))))
	39.0b	(.f64 -1/2 (/.f64 1 (fma.f64 -1/2 (/.f64 a b) (.f64 (/.f64 b (*.f64 -4 c)) -2))))
✓	35.5b	(.f64 -1/2 (/.f64 1 (.f64 (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))) (/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))))))))
	39.5b	(.f64 -1/2 (/.f64 1 (.f64 (/.f64 b (*.f64 -4 c)) -2)))
	46.2b	(.f64 -1/2 (/.f64 1 (/.f64 a (.f64 2 b))))
	39.1b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
✓	35.4b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (*.f64 c -4))))))))

Compiler

Compiled 16014 to 11004 computations (31.3% saved)

regimes2.3s (19.1%)

Accuracy

Total 7.6b remaining (72.4%)

Threshold costs 0b (0%)

Counts

158 → 3

Compiler

Compiled 16404 to 11802 computations (28.1% saved)

bsearch75.0ms (0.6%)

Steps

Iters	Range		Point
6	2.3995158549067297e+69	1.5022031048463448e+70	1.473112181182319e+70
6	-6.262500822968691e-62	-4.014941572167887e-63	-4.090118000401056e-63

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	54
1	37	54
2	36	54

end207.0ms (1.7%)

Compiler: Compiled 380 to 275 computations (27.6% saved)

Details

analyze701.0ms (5.9%)

sample2.9s (24.1%)

simplify140.0ms (1.2%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series175.0ms (1.5%)

rewrite13.0ms (0.1%)

simplify101.0ms (0.8%)

prune173.0ms (1.5%)

localize10.0ms (0.1%)

series1.4s (11.9%)

rewrite35.0ms (0.3%)

simplify171.0ms (1.4%)

prune258.0ms (2.2%)

localize14.0ms (0.1%)

series542.0ms (4.6%)

rewrite82.0ms (0.7%)

simplify375.0ms (3.1%)

prune432.0ms (3.6%)

localize14.0ms (0.1%)

series1.0s (8.7%)

rewrite63.0ms (0.5%)

simplify240.0ms (2%)

prune469.0ms (3.9%)

regimes2.3s (19.1%)

bsearch75.0ms (0.6%)

simplify2.0ms (0%)

end207.0ms (1.7%)

Profiling