Details

analyze766.0ms (7.9%)

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
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)

sample2.2s (23%)

Results

1.7s	8256×	body	128	valid
357.0ms	1051×	body	128	invalid

Compiler

Compiled 125 to 80 computations (36% saved)

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1002×	`fma-def_binary64`
782×	`fma-neg_binary64`
748×	`distribute-rgt-in_binary64`
560×	`div-sub_binary64`
469×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	44	52
2	94	52
3	211	50
4	341	50
5	594	50
6	1082	50
7	1702	50
8	2066	50
9	2870	50
10	3495	50
11	3501	50
12	3503	50
13	4196	50
14	4249	50
15	4881	50

prune5.0ms (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

21.9b

Counts

3 → 2

Alt Table

Status	Error	Program
	22.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
▶	22.0b	(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)))

Status

Error

Program

22.1b

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

▶

22.0b

(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)))

Compiler

Compiled 231 to 143 computations (38.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.5b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series111.0ms (1.1%)

Counts

4 → 96

Calls

4 calls:

36.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
34.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
29.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
10.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

rewrite114.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

785×	`fma-def_binary64`
416×	`fma-neg_binary64`
368×	`egg-rr`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Counts

4 → 368

Calls

4 calls:

103.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
103.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
103.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
103.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	296	56
2	3584	56
3	5331	56
0	0	0
1	0	0

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

458×	`times-frac_binary64`
447×	`unswap-sqr_binary64`
295×	`fma-def_binary64`
283×	`associate-r_binary64`
278×	`associate-/l*_binary64`

Counts

464 → 426

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	2213
1	293	2123
2	918	2035
3	4407	2035
4	5258	2035

prune1.1s (11.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	648	9	657
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	649	10	659

Error

5.6b

Counts

659 → 10

Alt Table

Status	Error	Program
	27.3b	(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) (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2))) (*.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	22.1b	(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) (.f64 (cbrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)))))) (.f64 2 a)))
▶	19.4b	(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) (.f64 -1 b)) (.f64 2 a)))
	25.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	38.9b	(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) b) (*.f64 2 a)))
	34.8b	(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 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) (fma.f64 -4 (.f64 a c) (.f64 b b)))))) (.f64 2 a)))
	25.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.1b	(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 (pow.f64 (cbrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) 3))) (*.f64 2 a)))

Compiler

Compiled 35225 to 19238 computations (45.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))
	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	1.5b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a))

rewrite43.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

694×	`expm1-log1p-u_binary64`
693×	`log1p-expm1-u_binary64`
309×	`prod-diff_binary64`
130×	`log1p-udef_binary64`
97×	`add-sqr-sqrt_binary64`

Counts

1 → 32

Calls

1 calls:

43.0ms

(/.f64 (+.f64 (neg.f64 b) (*.f64 -1 b)) (*.f64 2 a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	194	4
2	1883	4
3	4802	4
0	0	0
1	0	0

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Counts

56 → 34

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	144
1	10	144
2	16	144
3	22	144
4	28	144
5	34	144
6	39	144
7	44	144
8	52	144
9	49	144
10	40	144

prune554.0ms (5.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	377	2	379
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	380	9	389

Error

5.3b

Counts

389 → 9

Alt Table

Status	Error	Program
	34.8b	(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 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) (fma.f64 -4 (.f64 a c) (.f64 b b)))))) (.f64 2 a)))
	23.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	27.3b	(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) (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2))) (*.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	22.1b	(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) (.f64 (cbrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)))))) (.f64 2 a)))
	25.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.1b	(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 (pow.f64 (cbrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) 3))) (*.f64 2 a)))
▶	19.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (*.f64 -1 (/.f64 b a)))

Compiler

Compiled 17703 to 9965 computations (43.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	1.5b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series122.0ms (1.3%)

Counts

1 → 20

Calls

1 calls:

122.0ms

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

rewrite68.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`
167×	`add-sqr-sqrt_binary64`
163×	`log1p-expm1-u_binary64`
163×	`expm1-log1p-u_binary64`

Counts

1 → 45

Calls

1 calls:

66.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	338	22
2	4205	22
3	4888	22
0	0	0
1	0	0

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

907×	`fma-neg_binary64`
473×	`times-frac_binary64`
442×	`unswap-sqr_binary64`
288×	`associate-/l*_binary64`
232×	`associate-/r*_binary64`

Counts

65 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	659
1	218	639
2	682	598
3	3651	597
4	5374	597

prune762.0ms (7.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	411	2	413
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	413	9	422

Error

5.3b

Counts

422 → 9

Alt Table

Status	Error	Program
	27.3b	(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) (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2))) (*.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	22.1b	(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) (.f64 (cbrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)))))) (.f64 2 a)))
	29.2b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 c a))))) c))) (.f64 -1 (/.f64 b a)))
	34.8b	(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 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) (fma.f64 -4 (.f64 a c) (.f64 b b)))))) (.f64 2 a)))
	25.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.9b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 b a)))
	22.1b	(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 (pow.f64 (cbrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) 3))) (*.f64 2 a)))

Compiler

Compiled 17197 to 9271 computations (46.1% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	10.2b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))
	24.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	24.7b	(pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series76.0ms (0.8%)

Counts

2 → 56

Calls

2 calls:

42.0ms	(pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4)
34.0ms	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))

rewrite115.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

892×	`prod-diff_binary64`
229×	`log1p-udef_binary64`
208×	`egg-rr`
142×	`log1p-expm1-u_binary64`
142×	`expm1-log1p-u_binary64`

Counts

2 → 208

Calls

2 calls:

101.0ms	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))
101.0ms	(pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	305	30
2	3063	30
3	4906	30
0	0	0
1	0	0

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
482×	`cancel-sign-sub-inv_binary64`
244×	`distribute-neg-frac_binary64`
177×	`sub-neg_binary64`
169×	`times-frac_binary64`

Counts

264 → 285

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	2538
1	755	2480
2	2827	2444
3	5123	2444

prune839.0ms (8.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	411	2	413
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	411	11	422

Error

3.0b

Counts

422 → 11

Alt Table

Status	Error	Program
	25.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	37.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	27.3b	(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) (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2))) (*.f64 2 a)))
	38.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	22.1b	(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) (.f64 (cbrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)))))) (.f64 2 a)))
	29.2b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 c a))))) c))) (.f64 -1 (/.f64 b a)))
	34.8b	(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 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) (fma.f64 -4 (.f64 a c) (.f64 b b)))))) (.f64 2 a)))
✓	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.9b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 b a)))
	22.1b	(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 (pow.f64 (cbrt.f64 (fma.f64 -4 (.f64 a c) (.f64 b b))) 3))) (*.f64 2 a)))

Compiler

Compiled 29196 to 15875 computations (45.6% saved)

regimes1.9s (19.2%)

Accuracy

Total 4.4b remaining (57.4%)

Threshold costs 0b (0%)

Counts

135 → 5

Compiler

Compiled 18830 to 12694 computations (32.6% saved)

bsearch7.0ms (0.1%)

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	480
1	88	466
2	122	466
3	146	466
4	159	466
5	163	466
6	162	466

end405.0ms (4.2%)

Compiler: Compiled 1085 to 667 computations (38.5% saved)

Iter	Nodes	Cost
0	6	144
1	10	144
2	16	144
3	22	144
4	28	144
5	34	144
6	39	144
7	44	144
8	52	144
9	49	144
10	40	144

Iter	Nodes	Cost
0	6	144
1	10	144
2	16	144
3	22	144
4	28	144
5	34	144
6	39	144
7	44	144
8	52	144
9	49	144
10	40	144

Details

analyze766.0ms (7.9%)

sample2.2s (23%)

simplify129.0ms (1.3%)

prune5.0ms (0.1%)

localize18.0ms (0.2%)

series111.0ms (1.1%)

rewrite114.0ms (1.2%)

simplify88.0ms (0.9%)

prune1.1s (11.6%)

localize21.0ms (0.2%)

series6.0ms (0.1%)

rewrite43.0ms (0.4%)

simplify15.0ms (0.2%)

prune554.0ms (5.7%)

localize17.0ms (0.2%)

series122.0ms (1.3%)

rewrite68.0ms (0.7%)

simplify49.0ms (0.5%)

prune762.0ms (7.9%)

localize27.0ms (0.3%)

series76.0ms (0.8%)

rewrite115.0ms (1.2%)

simplify90.0ms (0.9%)

prune839.0ms (8.7%)

regimes1.9s (19.2%)

bsearch7.0ms (0.1%)

simplify14.0ms (0.1%)

end405.0ms (4.2%)

Profiling

Iter	Nodes	Cost
0	6	144
1	10	144
2	16	144
3	22	144
4	28	144
5	34	144
6	39	144
7	44	144
8	52	144
9	49	144
10	40	144