Details

analyze698.0ms (9.1%)

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
18.7%	81.1%	0.1%	6
26.5%	67.1%	6.4%	7
35.1%	58.5%	6.4%	8
41.3%	49.9%	8.7%	9
46.4%	40.2%	13.4%	10
50.8%	34.2%	15%	11
55.2%	26.7%	18.1%	12
57.4%	22%	20.6%	13
59.8%	17.9%	22.3%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.8s (23.5%)

Results

1.5s	8256×	body	128	valid
187.0ms	1074×	body	128	invalid

Compiler

Compiled 125 to 80 computations (36% saved)

simplify154.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1753×	`fma-neg_binary64`
1288×	`fma-def_binary64`
631×	`div-sub_binary64`
512×	`times-frac_binary64`
430×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	118	52
3	269	50
4	429	50
5	743	50
6	1315	50
7	1738	50
8	2176	50
9	2853	50
10	4066	50
11	3523	50
12	3575	50
13	3543	50
14	3557	50
15	4510	50
16	4622	50
17	4761	50

prune4.0ms (0.1%)

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

18.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	18.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))

Compiler

Compiled 149 to 91 computations (38.9% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
✓	1.3b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	1.8b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	21.2b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series417.0ms (5.5%)

Counts

4 → 80

Calls

4 calls:

268.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
53.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
52.0ms	(+.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)))

rewrite89.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

286×	`fma-neg_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`
153×	`add-sqr-sqrt_binary64`
150×	`egg-rr`

Counts

4 → 150

Calls

4 calls:

85.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
85.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
85.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
85.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	305	67
2	3927	67
3	4942	67
0	0	0
1	0	0

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

877×	`times-frac_binary64`
531×	`associate-/l*_binary64`
483×	`fma-neg_binary64`
465×	`fma-def_binary64`
157×	`cancel-sign-sub-inv_binary64`

Counts

230 → 238

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	2371
1	415	2318
2	1370	2194
3	4797	2194
4	5096	2194

prune419.0ms (5.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	273	10	283
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	10	284

Error

5.5b

Counts

284 → 10

Alt Table

Status	Error	Program
	31.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (/.f64 (.f64 c 2) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))
	31.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))))
	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2) b)))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
▶	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 c 2)) -1))
	29.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	24.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	28.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	20.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))

Compiler

Compiled 13128 to 7696 computations (41.4% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 c 2))
	1.3b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
	1.8b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
	21.2b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series88.0ms (1.2%)

Counts

1 → 20

Calls

1 calls:

88.0ms

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

rewrite65.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

384×	`fma-def_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`
205×	`fma-neg_binary64`
140×	`add-sqr-sqrt_binary64`

Counts

1 → 60

Calls

1 calls:

63.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	281	22
2	3641	22
3	4875	22
0	0	0
1	0	0

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-neg_binary64`
360×	`unswap-sqr_binary64`
328×	`times-frac_binary64`
287×	`distribute-neg-frac_binary64`
224×	`associate-r_binary64`

Counts

80 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	613
1	212	611
2	663	586
3	3211	585
4	4872	585
5	5180	585

prune494.0ms (6.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	297	1	298
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	297	11	308

Error

5.5b

Counts

308 → 11

Alt Table

Status	Error	Program
	31.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (/.f64 (.f64 c 2) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))
	31.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))))
▶	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2) b)))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
✓	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 c 2)) -1))
	29.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	24.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	28.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	20.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	24.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a)) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1))

Compiler

Compiled 14476 to 8745 computations (39.6% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	8.3b	(+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2))
	21.2b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	21.7b	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series110.0ms (1.4%)

Counts

2 → 56

Calls

2 calls:

59.0ms	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)
51.0ms	(+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2))

rewrite55.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

884×	`prod-diff_binary64`
223×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`
130×	`log1p-expm1-u_binary64`
130×	`expm1-log1p-u_binary64`

Counts

2 → 54

Calls

2 calls:

53.0ms	(+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2))
53.0ms	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	281	30
2	2958	30
3	5062	30
0	0	0
1	0	0

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Counts

110 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2523
1	726	2467
2	2724	2431
3	4993	2431

prune464.0ms (6.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	241	4	245
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	242	14	256

Error

2.2b

Counts

256 → 14

Alt Table

Status	Error	Program
✓	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	33.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
▶	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2) b)))
	31.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	33.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	31.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (/.f64 (.f64 c 2) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))
	31.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))))
	20.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (sqrt.f64 b) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
✓	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 c 2)) -1))
	29.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	24.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	20.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	24.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a)) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1))

Compiler

Compiled 13440 to 8391 computations (37.6% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.8b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	9.8b	(-.f64 (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2) b)
	21.2b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
	21.7b	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series54.0ms (0.7%)

Counts

1 → 20

Calls

1 calls:

54.0ms

(-.f64 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2) b)

rewrite64.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

752×	`prod-diff_binary64`
225×	`expm1-udef_binary64`
225×	`log1p-udef_binary64`
131×	`log1p-expm1-u_binary64`
131×	`expm1-log1p-u_binary64`

Counts

1 → 96

Calls

1 calls:

60.0ms

(-.f64 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2) b)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	282	16
2	2979	16
3	4878	16
0	0	0
1	0	0

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-neg_binary64`
411×	`unswap-sqr_binary64`
408×	`times-frac_binary64`
250×	`associate-/l*_binary64`
246×	`associate-r_binary64`

Counts

116 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	684
1	213	668
2	694	638
3	3573	638
4	5061	638

prune562.0ms (7.4%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	289	3	292
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	290	16	306

Error

1.0b

Counts

306 → 16

Alt Table

Status	Error	Program
✓	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	33.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
✓	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2) b)))
	31.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	33.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	31.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (/.f64 (.f64 c 2) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))
	31.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 2 (/.f64 c (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))))
	35.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a))))) 2) b)))
	24.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a)) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1))
	35.9b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) 2) b)))
	20.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (sqrt.f64 b) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	25.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (.f64 2 (-.f64 (/.f64 (.f64 c a) b) b))))
✓	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 c 2)) -1))
	29.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	20.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))

Compiler

Compiled 16103 to 9878 computations (38.7% saved)

regimes1.1s (14.7%)

Accuracy

Total 6.1b remaining (88.1%)

Threshold costs 0b (0%)

Counts

92 → 3

Compiler

Compiled 17354 to 11490 computations (33.8% saved)

bsearch40.0ms (0.5%)

Steps

Iters	Range		Point
2	9.619824666880424e+61	1.0757363162518932e+62	1.053209849851698e+62
7	-2.5779951332542986e+157	-8.265225857033953e+155	-8.348208285246039e+155

Compiler

Compiled 4 to 3 computations (25% saved)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
1×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	140
1	45	140
2	48	140
3	51	140
4	54	140
5	55	140
6	55	140

end563.0ms (7.4%)

Compiler: Compiled 823 to 539 computations (34.5% saved)

Details

analyze698.0ms (9.1%)

sample1.8s (23.5%)

simplify154.0ms (2%)

prune4.0ms (0.1%)

localize20.0ms (0.3%)

series417.0ms (5.5%)

rewrite89.0ms (1.2%)

simplify95.0ms (1.2%)

prune419.0ms (5.5%)

localize19.0ms (0.3%)

series88.0ms (1.2%)

rewrite65.0ms (0.9%)

simplify61.0ms (0.8%)

prune494.0ms (6.5%)

localize22.0ms (0.3%)

series110.0ms (1.4%)

rewrite55.0ms (0.7%)

simplify72.0ms (0.9%)

prune464.0ms (6.1%)

localize22.0ms (0.3%)

series54.0ms (0.7%)

rewrite64.0ms (0.8%)

simplify49.0ms (0.6%)

prune562.0ms (7.4%)

regimes1.1s (14.7%)

bsearch40.0ms (0.5%)

simplify22.0ms (0.3%)

end563.0ms (7.4%)

Profiling