Details

analyze4.4s (13.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	98.2%	1.8%	8
0%	95.5%	4.5%	9
0%	94%	6%	10
1.4%	90.3%	8.4%	11
2.5%	85.6%	11.8%	12
3.5%	80.6%	15.9%	13
5.2%	77.6%	17.2%	14

Compiler

Compiled 45 to 33 computations (26.7% saved)

sample6.2s (19.5%)

Results

1.4s	5716×	body	128	valid
770.0ms	864×	body	1024	valid
747.0ms	665×	body	2048	valid
738.0ms	817×	body	1024	invalid
721.0ms	3063×	body	128	invalid
647.0ms	583×	body	2048	invalid
412.0ms	625×	body	512	valid
402.0ms	622×	body	512	invalid
169.0ms	385×	body	256	valid
160.0ms	327×	body	256	invalid
1.0ms	1×	body	4096	valid

Compiler

Compiled 90 to 66 computations (26.7% saved)

preprocess35.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

663×	`associate-l_binary64`
649×	`associate-r_binary64`
560×	`distribute-rgt-in_binary64`
528×	`distribute-lft-in_binary64`
364×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	427
1	360	343
2	1374	343
0	4	4

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-l_binary64`
520×	`associate-r_binary64`
455×	`distribute-rgt-in_binary64`
450×	`fma-def_binary64`
449×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	61
1	66	49
2	225	49
3	1003	49

Stop Event

1×	node limit

Counts

1 → 2

prune9.0ms (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

50.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	50.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	53.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))

Status

Error

Program

▶

50.7b

(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 (*.f64 (fma.f64 B B (*.f64 A (*.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (*.f64 A (*.f64 C -4))))

53.4b

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C)))

Compiler

Compiled 239 to 160 computations (33.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.5b	(.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))
✓	5.4b	(.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) F)
✓	20.0b	(sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))
✓	24.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))

series8.0s (25.1%)

Counts

4 → 136

Calls

48 calls:

2.0s	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))	F	-inf
1.2s	(sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))	F	inf
1.2s	(sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))	F	0
1.1s	(sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))	F	-inf
362.0ms	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))	A	0

rewrite51.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

231×	`add-sqr-sqrt_binary64`
219×	`log1p-expm1-u_binary64`
219×	`expm1-log1p-u_binary64`
218×	`add-cbrt-cube_binary64`
214×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	454	124

Stop Event

1×	node limit

Counts

4 → 97

simplify251.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

542×	`fma-def_binary64`
490×	`associate-r_binary64`
257×	`associate-/l*_binary64`
210×	`associate-*l/_binary64`
171×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2074	36539

Stop Event

1×	node limit

Counts

233 → 257

prune921.0ms (2.9%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	227	30	257
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	229	30	259

Error

29.3b

Counts

259 → 30

Alt Table

Status	Error	Program
	50.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 (pow.f64 C 2) F)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	61.6b	(-.f64 (.f64 (.f64 1/2 (/.f64 (.f64 (.f64 A C) (sqrt.f64 2)) B)) (sqrt.f64 (/.f64 F (.f64 (+.f64 (.f64 A A) (.f64 B B)) (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))))) (fma.f64 1/2 (.f64 (/.f64 C (/.f64 B (sqrt.f64 2))) (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B))))))) (fma.f64 2 (.f64 (/.f64 A (/.f64 (pow.f64 B 3) (.f64 C (sqrt.f64 2)))) (sqrt.f64 (/.f64 F (/.f64 (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))) (+.f64 (.f64 A A) (.f64 B B)))))) (fma.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (/.f64 (sqrt.f64 2) B) (.f64 2 (.f64 (/.f64 (.f64 A A) (/.f64 (pow.f64 B 3) (.f64 C (sqrt.f64 2)))) (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (*.f64 B B))))))))))))
	63.0b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (log.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))) (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	55.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 A (.f64 C F))) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	60.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (/.f64 (sqrt.f64 2) B)))
	57.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 (pow.f64 A 2) (.f64 C F)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	53.9b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
	51.1b	(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
	55.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	63.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)))) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.0b	(/.f64 (neg.f64 (fma.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F)))) (/.f64 F (/.f64 (sqrt.f64 (.f64 -8 (.f64 C F))) (.f64 (sqrt.f64 2) (.f64 B B)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	62.6b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (log.f64 (pow.f64 (exp.f64 F) (fma.f64 B B (.f64 A (.f64 C -4))))) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	62.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (-.f64 (+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (+.f64 (.f64 A (.f64 F (pow.f64 B 2))) (.f64 5 (.f64 A (.f64 C (.f64 F B)))))) (+.f64 (.f64 F (pow.f64 B 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 A 2) (.f64 F B))) (.f64 1/2 (.f64 (pow.f64 C 2) (.f64 F B))))))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	50.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) 3) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	56.7b	(/.f64 (neg.f64 (.f64 (.f64 A (sqrt.f64 2)) (sqrt.f64 (.f64 -8 (.f64 C F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	57.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 (.f64 4 (.f64 (.f64 A F) (.f64 B B))) (.f64 -8 (.f64 (.f64 A A) (.f64 C F))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (neg.f64 (.f64 F (pow.f64 B 3)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	50.9b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) 1/4) 2)) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	61.0b	(.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (pow.f64 A 2) (pow.f64 C 2)) (.f64 2 (.f64 A C))))))) (*.f64 A C))))))
	51.0b	(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))) 3)) (fma.f64 B B (.f64 A (*.f64 C -4))))
	58.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (-.f64 (fma.f64 2 (/.f64 (.f64 C C) (/.f64 A (.f64 F (.f64 B B)))) (.f64 4 (.f64 (.f64 C F) (.f64 B B)))) (fma.f64 1/2 (/.f64 F (/.f64 A (pow.f64 B 4))) (.f64 (.f64 8 A) (.f64 (.f64 C C) F))))))) (fma.f64 B B (.f64 A (.f64 C -4))))
▶	48.4b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	58.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 (.f64 4 (.f64 (.f64 C F) (.f64 B B))) (.f64 (.f64 -8 A) (.f64 (.f64 C C) F)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	56.7b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	51.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	56.4b	(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 -8 A) F)) (.f64 C (sqrt.f64 2)) (/.f64 (.f64 (.f64 F (sqrt.f64 2)) (.f64 B B)) (sqrt.f64 (.f64 (.f64 -8 A) F))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	60.7b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (pow.f64 C 2) (pow.f64 B 2)))))) (.f64 (sqrt.f64 2) B))) (fma.f64 B B (.f64 A (*.f64 C -4))))

Compiler

Compiled 54496 to 31059 computations (43% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.9b	(+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))
	5.4b	(.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) F)
✓	20.6b	(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)))
✓	21.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))

series1.8s (5.6%)

Counts

3 → 76

Calls

33 calls:

355.0ms	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))	A	0
337.0ms	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))	F	inf
309.0ms	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))	B	0
273.0ms	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))	F	0
194.0ms	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))	C	0

rewrite49.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

234×	`add-sqr-sqrt_binary64`
223×	`log1p-expm1-u_binary64`
223×	`expm1-log1p-u_binary64`
222×	`add-cbrt-cube_binary64`
218×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	471	79

Stop Event

1×	node limit

Counts

3 → 98

simplify160.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

571×	`*-commutative_binary64`
331×	`+-commutative_binary64`
298×	`fma-def_binary64`
279×	`associate-+r+_binary64`
251×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1313	20322

Stop Event

1×	node limit

Counts

174 → 224

prune637.0ms (2%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	236	10	246
Fresh	11	18	29
Picked	1	0	1
Done	0	0	0
Total	248	28	276

Error

26.6b

Counts

276 → 28

Alt Table

Status	Error	Program
	50.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 (pow.f64 C 2) F)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	51.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	49.8b	(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 F)) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	55.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 A (.f64 C F))) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	54.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	60.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (/.f64 (sqrt.f64 2) B)))
	57.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 (pow.f64 A 2) (.f64 C F)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	60.5b	(sqrt.f64 (/.f64 (.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
	56.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (-.f64 (.f64 2 A) (.f64 1/2 (/.f64 (pow.f64 B 2) C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	53.9b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
	51.1b	(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4)))) 2)) (/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C))))))) (cbrt.f64 (fma.f64 B B (.f64 A (.f64 C -4))))))
	50.7b	(neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	55.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	63.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)))) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.0b	(/.f64 (neg.f64 (fma.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F)))) (/.f64 F (/.f64 (sqrt.f64 (.f64 -8 (.f64 C F))) (.f64 (sqrt.f64 2) (.f64 B B)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (neg.f64 (.f64 F (pow.f64 B 3)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	58.3b	(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 F) (.f64 (sqrt.f64 2) B)) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	50.9b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) 1/4) 2)) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	56.7b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 (.f64 -1/2 F) A))))
	61.0b	(.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (pow.f64 A 2) (pow.f64 C 2)) (.f64 2 (.f64 A C))))))) (*.f64 A C))))))
	48.4b	(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) (sqrt.f64 2)) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
▶	47.9b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	62.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (-.f64 (+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (+.f64 (.f64 A (.f64 F (pow.f64 B 2))) (.f64 5 (.f64 A (.f64 C (.f64 F B)))))) (+.f64 (.f64 F (pow.f64 B 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 A 2) (.f64 F B))) (.f64 1/2 (.f64 (pow.f64 C 2) (.f64 F B))))))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	50.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) 3) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	54.6b	(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -4 (.f64 A (.f64 C F))))) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))

Compiler

Compiled 35297 to 20382 computations (42.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.4b	(.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) F)
✓	9.0b	(/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
✓	12.2b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	20.6b	(sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)))

series1.9s (5.9%)

Counts

2 → 40

Calls

21 calls:

370.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	A	0
310.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	B	0
299.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	F	inf
277.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	F	0
187.0ms	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	C	0

rewrite34.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

239×	`add-sqr-sqrt_binary64`
227×	`log1p-expm1-u_binary64`
227×	`expm1-log1p-u_binary64`
226×	`add-cbrt-cube_binary64`
222×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	81
1	511	77

Stop Event

1×	node limit

Counts

2 → 37

simplify176.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

383×	`fma-def_binary64`
342×	`associate-+r+_binary64`
333×	`associate-r_binary64`
199×	`associate-/r*_binary64`
199×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1656	24973

Stop Event

1×	node limit

Counts

77 → 116

prune640.0ms (2%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	183	3	186
Fresh	4	23	27
Picked	1	0	1
Done	0	0	0
Total	188	26	214

Error

25.5b

Counts

214 → 26

Alt Table

Status	Error	Program
	50.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 (pow.f64 C 2) F)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	51.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	49.8b	(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 F)) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	55.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 A (.f64 C F))) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	54.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	60.6b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 A A) (.f64 B B)))))) (/.f64 (sqrt.f64 2) B)))
	57.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 (pow.f64 A 2) (.f64 C F)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	60.5b	(sqrt.f64 (/.f64 (.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
	56.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (-.f64 (.f64 2 A) (.f64 1/2 (/.f64 (pow.f64 B 2) C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	53.9b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
	50.7b	(neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	55.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	63.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)))) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.0b	(/.f64 (neg.f64 (fma.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F)))) (/.f64 F (/.f64 (sqrt.f64 (.f64 -8 (.f64 C F))) (.f64 (sqrt.f64 2) (.f64 B B)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (neg.f64 (.f64 F (pow.f64 B 3)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	48.0b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 F)) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	61.0b	(.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (pow.f64 A 2) (pow.f64 C 2)) (.f64 2 (.f64 A C))))))) (*.f64 A C))))))
	50.9b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) 1/4) 2)) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	56.7b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 (.f64 -1/2 F) A))))
	62.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (-.f64 (+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (+.f64 (.f64 A (.f64 F (pow.f64 B 2))) (.f64 5 (.f64 A (.f64 C (.f64 F B)))))) (+.f64 (.f64 F (pow.f64 B 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 A 2) (.f64 F B))) (.f64 1/2 (.f64 (pow.f64 C 2) (.f64 F B))))))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	50.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) 3) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
▶	47.9b	(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	61.8b	(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))) (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)))))

Compiler

Compiled 40207 to 23512 computations (41.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.4b	(.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) F)
	9.0b	(/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
✓	12.2b	(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
✓	20.7b	(sqrt.f64 (.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) F))

series1.7s (5.3%)

Counts

2 → 40

Calls

24 calls:

352.0ms	(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	A	0
310.0ms	(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	B	0
309.0ms	(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	F	inf
259.0ms	(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	F	0
196.0ms	(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))	C	0

rewrite54.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

247×	`add-sqr-sqrt_binary64`
235×	`log1p-expm1-u_binary64`
235×	`expm1-log1p-u_binary64`
234×	`add-cbrt-cube_binary64`
230×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	67
1	532	67

Stop Event

1×	node limit

Counts

2 → 37

simplify217.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

524×	`*-commutative_binary64`
263×	`+-commutative_binary64`
254×	`fma-def_binary64`
239×	`associate-r_binary64`
234×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1148	18337
1	4710	16497

Stop Event

1×	node limit

Counts

77 → 101

prune696.0ms (2.2%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	179	3	182
Fresh	1	24	25
Picked	0	1	1
Done	0	0	0
Total	180	28	208

Error

21.5b

Counts

208 → 28

Alt Table

Status	Error	Program
	50.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 A (.f64 (pow.f64 C 2) F)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	56.0b	(.f64 (neg.f64 (sqrt.f64 (.f64 F (+.f64 A (hypot.f64 A B))))) (/.f64 (sqrt.f64 2) B))
	51.7b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (exp.f64 (log.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	49.8b	(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 F)) (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	55.4b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (hypot.f64 C B)))) (/.f64 (sqrt.f64 2) B)))
	55.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 -4 (.f64 A (.f64 C F))) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	54.8b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (-.f64 (.f64 2 C) (.f64 1/2 (/.f64 (pow.f64 B 2) A)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 -8 (.f64 (pow.f64 A 2) (.f64 C F)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	60.5b	(sqrt.f64 (/.f64 (.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C))))) (pow.f64 (fma.f64 B B (.f64 A (*.f64 C -4))) 2)))
	56.1b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) (sqrt.f64 (-.f64 (.f64 2 A) (.f64 1/2 (/.f64 (pow.f64 B 2) C)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	53.9b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F C))) (sqrt.f64 2)))
	50.7b	(neg.f64 (/.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	55.9b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -8 (.f64 A F))) (.f64 C (sqrt.f64 2)))) (fma.f64 B B (.f64 A (.f64 C -4))))
	63.3b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)))) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.0b	(/.f64 (neg.f64 (fma.f64 A (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (.f64 C F)))) (/.f64 F (/.f64 (sqrt.f64 (.f64 -8 (.f64 C F))) (.f64 (sqrt.f64 2) (.f64 B B)))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	57.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.9b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (neg.f64 (.f64 F (pow.f64 B 3)))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	48.0b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 F)) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	61.0b	(.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 F (+.f64 A (+.f64 C (sqrt.f64 (-.f64 (+.f64 (pow.f64 A 2) (pow.f64 C 2)) (.f64 2 (.f64 A C))))))) (*.f64 A C))))))
	50.9b	(/.f64 (neg.f64 (pow.f64 (pow.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) (.f64 F (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))))) 1/4) 2)) (fma.f64 B B (.f64 A (*.f64 C -4))))
	61.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 F (pow.f64 B 3))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	56.7b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 (.f64 -1/2 F) A))))
	50.6b	(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 F) (hypot.f64 B (sqrt.f64 (.f64 A (.f64 C -4)))))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	62.5b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (-.f64 (+.f64 (.f64 C (.f64 F (pow.f64 B 2))) (+.f64 (.f64 A (.f64 F (pow.f64 B 2))) (.f64 5 (.f64 A (.f64 C (.f64 F B)))))) (+.f64 (.f64 F (pow.f64 B 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 A 2) (.f64 F B))) (.f64 1/2 (.f64 (pow.f64 C 2) (.f64 F B))))))))) (fma.f64 B B (.f64 A (.f64 C -4))))
	50.8b	(/.f64 (neg.f64 (sqrt.f64 (.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)) 3) (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))))) (fma.f64 B B (.f64 A (*.f64 C -4))))
✓	47.9b	(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F))) 1) (/.f64 (neg.f64 (sqrt.f64 (+.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))))) (fma.f64 B B (.f64 A (*.f64 C -4)))))
	61.8b	(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 A C)))) (fma.f64 B B (.f64 A (.f64 C -4))))) (sqrt.f64 (.f64 2 (.f64 (fma.f64 B B (.f64 A (.f64 C -4))) F)))))

Compiler

Compiled 38037 to 22794 computations (40.1% saved)

regimes2.7s (8.4%)

Accuracy

Total 20.4b remaining (51.3%)

Threshold costs 0b (0%)

Counts

146 → 7

Compiler

Compiled 37483 to 24820 computations (33.8% saved)

bsearch610.0ms (1.9%)

Algorithm

6×	binary-search

Calls

6 calls:

143.0ms	B
130.0ms	B
117.0ms	B
116.0ms	B
77.0ms	B

Steps

Iters	Point		Range
8.49625271680864e+138	∈ [	1.076126203103963e+138	,	8.636016744999711e+138	]
742.5427233374058	∈ [	0.007463145168373619	,	736968581.5382441	]
7.395390810525929e-138	∈ [	6.073593144167236e-138	,	3.1884561000934775e-136	]
7.082312261175921e-228	∈ [	1.9155239878130505e-229	,	3.4919042411211524e-227	]
-435814139245693630.0	∈ [	-7667525169434878000.0	,	-24525497212606710.0	]
-8.738524181400431e+158	∈ [	-1.8370039986478275e+165	,	-8.648315115873564e+158	]

Compiler

Compiled 5 to 4 computations (20% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Rules

33×	`*-commutative_binary64`
23×	`+-commutative_binary64`
20×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	297
1	119	297
2	164	297
3	196	297
4	217	297
5	224	297
6	229	297
7	231	297

Stop Event

1×

saturated

end534.0ms (1.7%)

Stop Event

1×

fuel

Compiler

Compiled 1359 to 876 computations (35.5% saved)

Details

analyze4.4s (13.9%)

sample6.2s (19.5%)

preprocess35.0ms (0.1%)

simplify15.0ms (0%)

prune9.0ms (0%)

localize21.0ms (0.1%)

series8.0s (25.1%)

rewrite51.0ms (0.2%)

simplify251.0ms (0.8%)

prune921.0ms (2.9%)

localize20.0ms (0.1%)

series1.8s (5.6%)

rewrite49.0ms (0.2%)

simplify160.0ms (0.5%)

prune637.0ms (2%)

localize20.0ms (0.1%)

series1.9s (5.9%)

rewrite34.0ms (0.1%)

simplify176.0ms (0.6%)

prune640.0ms (2%)

localize20.0ms (0.1%)

series1.7s (5.3%)

rewrite54.0ms (0.2%)

simplify217.0ms (0.7%)

prune696.0ms (2.2%)

regimes2.7s (8.4%)

bsearch610.0ms (1.9%)

simplify13.0ms (0%)

end534.0ms (1.7%)

Profiling