Details

analyze859.0ms (13.7%)

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
20.3%	73.3%	6.4%	7
27.3%	66.3%	6.4%	8
38.2%	53%	8.7%	9
46%	40.6%	13.4%	10
49.9%	35.1%	15%	11
54.9%	26.9%	18.1%	12
57.4%	22%	20.6%	13
59.7%	18%	22.4%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.9s (30.5%)

Results

1.7s	8256×	body	128	valid
182.0ms	1025×	body	128	invalid

Compiler

Compiled 125 to 80 computations (36% saved)

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-neg_binary64`
464×	`times-frac_binary64`
353×	`div-sub_binary64`
283×	`cancel-sign-sub-inv_binary64`
251×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	44	52
2	99	52
3	240	50
4	439	50
5	780	50
6	1493	50
7	2856	50
8	4302	50

Stop Event

1×	node limit

Counts

1 → 2

prune8.0ms (0.1%)

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

20.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	20.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
▶	20.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))

Status

Error

Program

20.5b

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))

▶

20.5b

(if (>=.f64 b 0) (/.f64 (*.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))

Compiler

Compiled 231 to 143 computations (38.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a))
✓	1.0b	(+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
✓	1.3b	(-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
✓	22.8b	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series150.0ms (2.4%)

Counts

4 → 80

Calls

4 calls:

53.0ms	(.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a))
35.0ms	(-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
34.0ms	(+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
27.0ms	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))

rewrite68.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
237×	`fma-neg_binary64`
152×	`add-sqr-sqrt_binary64`
150×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	310	67
2	4105	67

Stop Event

1×	node limit

Counts

4 → 150

Calls

4 calls:

64.0ms	(.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a))
64.0ms	(+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
64.0ms	(-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
64.0ms	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

725×	`times-frac_binary64`
463×	`associate-/l*_binary64`
402×	`associate-/r*_binary64`
387×	`fma-def_binary64`
161×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	2391
1	389	2360
2	1334	2254

Stop Event

1×	node limit

Counts

230 → 226

prune390.0ms (6.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	263	9	272
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	265	9	274

Error

6.7b

Counts

274 → 9

Alt Table

Status	Error	Program
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	32.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (.f64 (/.f64 a -1/2) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))
	35.6b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (-.f64 (/.f64 c b) (/.f64 b a)))
▶	20.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (/.f64 a -1/2)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (*.f64 -1 (/.f64 b a)))
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (-.f64 (/.f64 (.f64 2 a) (/.f64 b c)) b)) (/.f64 -1/2 a)))
	20.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (fma.f64 (.f64 (/.f64 c b) a) -2 b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))

Compiler

Compiled 12640 to 7366 computations (41.7% saved)

localize45.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
✓	1.3b	(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))
	22.8b	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))
✓	22.8b	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series60.0ms (1%)

Counts

2 → 40

Calls

2 calls:

34.0ms	(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))
26.0ms	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`prod-diff_binary64`
334×	`fma-def_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
156×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	211	29
2	2693	29

Stop Event

1×	node limit

Counts

2 → 121

Calls

2 calls:

57.0ms	(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))
57.0ms	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

441×	`times-frac_binary64`
417×	`fma-neg_binary64`
274×	`associate-/l*_binary64`
269×	`associate-r_binary64`
240×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	1210
1	250	1196
2	808	1140
3	4411	1140

Stop Event

1×	node limit

Counts

161 → 168

prune395.0ms (6.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	260	9	269

Error

6.7b

Counts

269 → 9

Alt Table

Status	Error	Program
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	32.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (.f64 (/.f64 a -1/2) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))
	35.6b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (-.f64 (/.f64 c b) (/.f64 b a)))
✓	20.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (/.f64 a -1/2)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (*.f64 -1 (/.f64 b a)))
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (-.f64 (/.f64 (.f64 2 a) (/.f64 b c)) b)) (/.f64 -1/2 a)))
▶	20.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (fma.f64 (.f64 (/.f64 c b) a) -2 b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))

Compiler

Compiled 13644 to 7646 computations (44% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
✓	8.3b	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
	22.8b	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))
✓	23.4b	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series69.0ms (1.1%)

Counts

2 → 56

Calls

2 calls:

38.0ms	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
31.0ms	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`prod-diff_binary64`
223×	`log1p-udef_binary64`
130×	`log1p-expm1-u_binary64`
130×	`expm1-log1p-u_binary64`
128×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	281	30
2	3299	30

Stop Event

1×	node limit

Counts

2 → 54

Calls

2 calls:

46.0ms	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
46.0ms	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-def_binary64`
511×	`cancel-sign-sub-inv_binary64`
253×	`distribute-neg-frac_binary64`
169×	`times-frac_binary64`
166×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2523
1	730	2467
2	2855	2431

Stop Event

1×	node limit

Counts

110 → 133

prune383.0ms (6.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	245	3	248
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	246	11	257

Error

3.8b

Counts

257 → 11

Alt Table

Status	Error	Program
	38.1b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	35.6b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (-.f64 (/.f64 c b) (/.f64 b a)))
	32.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (.f64 (/.f64 a -1/2) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))
✓	20.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (/.f64 a -1/2)))
	37.9b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	35.9b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (*.f64 -1 (/.f64 b a)))
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (-.f64 (/.f64 (.f64 2 a) (/.f64 b c)) b)) (/.f64 -1/2 a)))
✓	20.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
▶	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (fma.f64 (.f64 (/.f64 c b) a) -2 b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))

Compiler

Compiled 13364 to 8417 computations (37% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b))))
✓	4.5b	(/.f64 (.f64 c -2) (+.f64 b (fma.f64 (.f64 (/.f64 c b) a) -2 b)))
✓	5.7b	(*.f64 (/.f64 c b) a)
	22.8b	(sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series35.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

22.0ms	(/.f64 (.f64 c -2) (+.f64 b (fma.f64 (.f64 (/.f64 c b) a) -2 b)))
12.0ms	(*.f64 (/.f64 c b) a)

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`prod-diff_binary64`
231×	`log1p-udef_binary64`
127×	`add-sqr-sqrt_binary64`
120×	`log1p-expm1-u_binary64`
120×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	246	27
2	3571	27

Stop Event

1×	node limit

Counts

2 → 70

Calls

2 calls:

59.0ms	(/.f64 (.f64 c -2) (+.f64 b (fma.f64 (.f64 (/.f64 c b) a) -2 b)))
59.0ms	(*.f64 (/.f64 c b) a)

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

517×	`unswap-sqr_binary64`
513×	`cancel-sign-sub-inv_binary64`
512×	`fma-neg_binary64`
263×	`times-frac_binary64`
225×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	1319
1	137	1319
2	504	1271
3	2763	1271

Stop Event

1×	node limit

Counts

142 → 85

prune284.0ms (4.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	199	12	211

Error

3.8b

Counts

211 → 12

Alt Table

Status	Error	Program
	38.1b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	35.6b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (-.f64 (/.f64 c b) (/.f64 b a)))
	22.5b	(if (>=.f64 b 0) (pow.f64 (cbrt.f64 (/.f64 c (.f64 (+.f64 b (fma.f64 (.f64 (/.f64 c b) a) -2 b)) -1/2))) 3) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (*.f64 -1 (/.f64 b a)))
	32.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (.f64 (/.f64 a -1/2) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))
✓	20.4b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (/.f64 a -1/2)))
	37.9b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	35.9b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (-.f64 (/.f64 (.f64 2 a) (/.f64 b c)) b)) (/.f64 -1/2 a)))
✓	20.5b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (*.f64 b b)))) (/.f64 -1/2 a)))
✓	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (fma.f64 (.f64 (/.f64 c b) a) -2 b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))

Compiler

Compiled 8814 to 4918 computations (44.2% saved)

regimes789.0ms (12.6%)

Accuracy

Total 4.0b remaining (53.5%)

Threshold costs 0b (0%)

Counts

65 → 5

Compiler

Compiled 10562 to 6738 computations (36.2% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 41 to 26 computations (36.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
18×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	460
1	96	452
2	127	452
3	148	452
4	160	452
5	163	452

Stop Event

1×

saturated

end365.0ms (5.8%)

Compiler: Compiled 1082 to 672 computations (37.9% saved)

Details

analyze859.0ms (13.7%)

sample1.9s (30.5%)

simplify31.0ms (0.5%)

prune8.0ms (0.1%)

localize17.0ms (0.3%)

series150.0ms (2.4%)

rewrite68.0ms (1.1%)

simplify45.0ms (0.7%)

prune390.0ms (6.2%)

localize45.0ms (0.7%)

series60.0ms (1%)

rewrite61.0ms (1%)

simplify47.0ms (0.8%)

prune395.0ms (6.3%)

localize24.0ms (0.4%)

series69.0ms (1.1%)

rewrite48.0ms (0.8%)

simplify52.0ms (0.8%)

prune383.0ms (6.1%)

localize21.0ms (0.3%)

series35.0ms (0.6%)

rewrite60.0ms (1%)

simplify40.0ms (0.6%)

prune284.0ms (4.5%)

regimes789.0ms (12.6%)

bsearch4.0ms (0.1%)

simplify11.0ms (0.2%)

end365.0ms (5.8%)

Profiling