Details

analyze452.0ms (2.7%)

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
0%	99.9%	0.1%	6
6.2%	87.4%	6.4%	7
12.5%	81.1%	6.4%	8
18.3%	72.9%	8.7%	9
28.3%	58.3%	13.4%	10
33.7%	51.3%	15%	11
39.1%	42.9%	18.1%	12

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample2.9s (16.9%)

Results

2.5s	8256×	body	256	valid
383.0ms	1601×	body	256	invalid

preprocess82.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

666×	`associate-/l*_binary64`
623×	`fma-neg_binary64`
569×	`div-sub_binary64`
537×	`associate-/r*_binary64`
307×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	143	208
2	409	208
3	940	200
4	1726	200
5	3276	200
6	7774	200
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def_binary64`
776×	`fma-neg_binary64`
609×	`div-sub_binary64`
512×	`times-frac_binary64`
375×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	123	52
3	304	50
4	545	50
5	990	50
6	2054	50
7	3576	50
8	4877	50
9	6321	50
10	7745	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

Compiler: Compiled 75 to 46 computations (38.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

20.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

Status

Error

Program

▶

20.8b

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

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.4b	(-.f64 (neg.f64 b) (sqrt.f64 (-.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))))
✓	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series40.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
17.0ms	c	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
2.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
2.0ms	c	@	inf	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite131.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`fma-def_binary64`
690×	`log-prod_binary64`
416×	`fma-neg_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4360	53

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 4 c)) 2))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 64 (pow.f64 (.f64 a c) 3)))) (sqrt.f64 (fma.f64 (.f64 a (.f64 4 c)) (fma.f64 a (.f64 4 c) (.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) 1))))))
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(cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a -4) (sqrt.f64 c)) (sqrt.f64 c) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 c (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 (.f64 c (.f64 a -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (neg.f64 (-.f64 (.f64 a (.f64 4 c)) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 (.f64 a c)) 4 (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (.f64 c (.f64 a -4)) 1 (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (.f64 4 c)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 4 c))) 2) (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (+.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))))))))

simplify166.0ms (1%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
708×	`fma-def_binary64`
687×	`associate-r_binary64`
649×	`associate-l_binary64`
443×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1481	2157

Stop Event

1×	node limit

Counts

512 → 476

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
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b
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b
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b
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(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))

eval1.3s (7.7%)

Compiler: Compiled 37536 to 22599 computations (39.8% saved)

prune293.0ms (1.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	715	14	729
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	716	14	730

Error

5.8b

Counts

730 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	20.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))
	25.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	21.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 3)))))
▶	25.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	27.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.2b	(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	22.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	19.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
	19.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
▶	35.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	20.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	20.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
	25.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))

Compiler

Compiled 1202 to 788 computations (34.4% saved)

localize144.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	3.7b	(.f64 (/.f64 c b) (.f64 a 2))
✓	4.3b	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 153 to 83 computations (45.8% saved)

series37.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	c	@	0	(.f64 (/.f64 c b) (.f64 a 2))
2.0ms	c	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2))))
2.0ms	b	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2))))
2.0ms	b	@	inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2))))
2.0ms	c	@	inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2))))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
336×	`pow2_binary64`
245×	`prod-diff_binary64`
241×	`pow-unpow_binary64`
239×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	257	30
2	3414	30

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 c (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (/.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 c (/.f64 1 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 2 (/.f64 1 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 c c) (/.f64 1 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)) (pow.f64 (cbrt.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)) 2) (cbrt.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 c c) 2)) (.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)) (sqrt.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 c c)) (.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c -2) (/.f64 1 (neg.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c 1) (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 c c) 2)) 1) (/.f64 (cbrt.f64 (+.f64 c c)) (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) 2)) (/.f64 c (cbrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) 2)) (/.f64 2 (cbrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) -2) (/.f64 (+.f64 c c) (cbrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 c c) 2)) (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) 2)) (cbrt.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))) (/.f64 c (sqrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (sqrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))) (/.f64 2 (sqrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)) -1/2) (/.f64 (+.f64 c c) (sqrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 c c) 2)) (sqrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (/.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 1/2 (/.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)) c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (neg.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (*.f64 b -2))) c)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 2 (/.f64 c b)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 2 (/.f64 c b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (/.f64 c b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (.f64 c (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c (+.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 c (+.f64 a a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c (+.f64 a a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c (+.f64 a a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c (+.f64 a a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 c) (+.f64 a a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a a) (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 (/.f64 c b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (/.f64 c b) a) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (.f64 (/.f64 c b) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (.f64 (/.f64 c b) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (.f64 (/.f64 c b) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 a a) 3) (pow.f64 (/.f64 c b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (.f64 c (+.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 (/.f64 c b) a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (.f64 (/.f64 c b) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 a a) 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (*.f64 (/.f64 c b) a))) 1))))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 (fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 b -2))) c)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (+.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c (+.f64 a a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (+.f64 a a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (+.f64 a a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (+.f64 a a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) (+.f64 a a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a a) (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (/.f64 c b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 c b) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (/.f64 c b) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 c b) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a a) 3) (pow.f64 (/.f64 c b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c (+.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 c b) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a a) 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 c b) a))) 1))))))

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

760×	`associate-*l/_binary64`
717×	`associate-/r/_binary64`
517×	`unswap-sqr_binary64`
505×	`associate-*r/_binary64`
343×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1451
1	159	1427
2	595	1387
3	3324	1383

Stop Event

1×	node limit

Counts

154 → 99

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))

Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (neg.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (neg.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (neg.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (neg.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (.f64 (/.f64 c (pow.f64 b 3)) a))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 2 a))

localize141.0ms (0.8%)

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)))))
	1.2b	(-.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))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series52.0ms (0.3%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	a	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
10.0ms	c	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
6.0ms	c	@	inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
4.0ms	c	@	-inf	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
3.0ms	b	@	0	(/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

rewrite121.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`log-prod_binary64`
734×	`fma-def_binary64`
379×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	342	22
2	4945	21

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2) (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (*.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c c)) (*.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) 1) (/.f64 (cbrt.f64 (+.f64 c c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (/.f64 c (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (/.f64 2 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (/.f64 (+.f64 c c) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2))) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 c (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 2 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (+.f64 c c) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (fma.f64 b b (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 c c) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 c c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1))))))

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-def_binary64`
857×	`times-frac_binary64`
549×	`associate-*l/_binary64`
530×	`associate-/l*_binary64`
529×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	871
1	555	790
2	2299	692

Stop Event

1×	node limit

Counts

68 → 78

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (+.f64 (.f64 -2 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1 (/.f64 (.f64 a (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3))))) (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2)) b) (pow.f64 a 2))))))) (*.f64 -1 (/.f64 b a)))))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -2 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))) (.f64 1/2 (/.f64 1 (.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (+.f64 (.f64 -1 (.f64 c (.f64 a (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a)))))) (.f64 -1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 c (pow.f64 a 2)))))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (pow.f64 a 3))) (.f64 -2 (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (pow.f64 b 7))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2)) b) c)) (+.f64 (.f64 -1 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3))))) (pow.f64 b 2))) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a)))))

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (*.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (/.f64 b a)))
(-.f64 (fma.f64 a (/.f64 1 (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3)))))) (+.f64 (.f64 -2 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1 (/.f64 (.f64 a (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 1/2 (/.f64 a (pow.f64 b 3))))) (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2)) b) (pow.f64 a 2))))))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (fma.f64 -2 (.f64 (pow.f64 c 3) (fma.f64 -1 (/.f64 a (/.f64 (.f64 b b) (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (+.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (.f64 -1/8 (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)) (/.f64 (*.f64 a a) b)))))) (neg.f64 (/.f64 b a)))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (.f64 (pow.f64 c 3) (-.f64 (fma.f64 -1/8 (.f64 (/.f64 b a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) a)) (/.f64 a (/.f64 (pow.f64 b 5) a))) (.f64 (/.f64 a (.f64 b b)) (.f64 (/.f64 a (pow.f64 b 3)) -1/2)))))) (/.f64 b a)))
(fma.f64 -2 (.f64 (.f64 c c) (+.f64 (.f64 (/.f64 a (pow.f64 b 3)) -1/2) (.f64 c (+.f64 (/.f64 (.f64 a (/.f64 1/2 (/.f64 (pow.f64 b 3) a))) (.f64 b b)) (fma.f64 -1/8 (.f64 (/.f64 b a) (/.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) a)) (/.f64 a (/.f64 (pow.f64 b 5) a))))))) (-.f64 (/.f64 c b) (/.f64 b a)))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (*.f64 (/.f64 b a) -1/2))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2)))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -2 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 (.f64 b b) (.f64 -2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1/8 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (.f64 (/.f64 b a) -1/2)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -2 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))) (.f64 1/2 (/.f64 1 (.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (fma.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 -2 (+.f64 (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4)) (/.f64 1/2 (.f64 c (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))))))))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -2 (fma.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2)) (.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 a c))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2)) (/.f64 1/2 (.f64 c (.f64 (.f64 a a) 16)))))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 -2 (.f64 (.f64 b b) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1/8 (sqrt.f64 -4))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) -1/2) 16) (/.f64 (/.f64 1/32 (.f64 a a)) c)) b))) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 2 (sqrt.f64 -4)) (*.f64 (/.f64 b a) -1/2)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (*.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (/.f64 b a)))
(-.f64 (fma.f64 a (/.f64 1 (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (+.f64 (.f64 -1 (.f64 c (.f64 a (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) a)) (.f64 -1 (.f64 (pow.f64 c 2) a)))))) (.f64 -1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 c (pow.f64 a 2)))))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (fma.f64 -2 (/.f64 (.f64 (.f64 a (.f64 c c)) -1/2) (pow.f64 b 3)) (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 c 3) (.f64 a a) (fma.f64 -1 (.f64 (.f64 a c) (.f64 (.f64 a (.f64 c c)) -1/2)) (.f64 -1/8 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 a 4) (pow.f64 c 4)))) (.f64 c (.f64 a a)))))) (pow.f64 b 5)) (neg.f64 (/.f64 b a)))))
(+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 c (.f64 a c)) (/.f64 (pow.f64 b 3) -1/2)) (/.f64 (fma.f64 (pow.f64 c 3) (.f64 a a) (-.f64 (.f64 -1/8 (/.f64 (fma.f64 16 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (.f64 4 (.f64 (pow.f64 a 4) (pow.f64 c 4)))) (.f64 a (.f64 a c)))) (.f64 c (.f64 (.f64 (.f64 a c) (*.f64 a c)) -1/2)))) (pow.f64 b 5)))) (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (-.f64 (.f64 (/.f64 -2 (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (.f64 a (.f64 a c))) (.f64 a (-.f64 (.f64 (pow.f64 c 3) a) (.f64 c (.f64 a (.f64 (.f64 c c) -1/2))))))) (/.f64 b a)) (fma.f64 a (/.f64 1 (/.f64 (pow.f64 b 3) (.f64 c c))) (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 -2 a) a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 4) (pow.f64 a 3))) (.f64 -2 (.f64 (pow.f64 c 4) (pow.f64 a 3)))) (pow.f64 b 7))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (pow.f64 b 7)) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 2 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (/.f64 (pow.f64 b 7) -5/2)))) (/.f64 c b)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 b 7) -5/2) (pow.f64 c 4))) (/.f64 (.f64 (.f64 (.f64 -2 a) a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 c c) (*.f64 (/.f64 a (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 (/.f64 a (pow.f64 b 3)) -1/2))) (/.f64 b a)))
(-.f64 (fma.f64 a (/.f64 1 (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 c b) (+.f64 (.f64 -2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2)) b) c)) (+.f64 (.f64 -1 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3))))) (pow.f64 b 2))) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))) (+.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))) a)) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 c b) (fma.f64 -2 (.f64 (.f64 a a) (fma.f64 -1/8 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (/.f64 (.f64 -2 (.f64 c c)) (pow.f64 b 3)) 2)) (/.f64 c b)) (fma.f64 -1 (/.f64 c (/.f64 (.f64 b b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) -1/2))) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) (fma.f64 -2 (.f64 a (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) -1/2)) (neg.f64 (/.f64 b a)))))
(+.f64 (/.f64 c b) (-.f64 (.f64 -2 (+.f64 (.f64 a (.f64 a (fma.f64 -1/8 (.f64 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) c) b) (-.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 c b) (/.f64 (/.f64 (.f64 (.f64 c c) -1/2) (pow.f64 b 3)) b)))))) (.f64 a (/.f64 (.f64 (*.f64 c c) -1/2) (pow.f64 b 3))))) (/.f64 b a)))
(fma.f64 -2 (.f64 a (+.f64 (.f64 a (-.f64 (fma.f64 -1/8 (.f64 (/.f64 b c) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) -1/2) (.f64 b b)))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) -1/2)))) (-.f64 (/.f64 c b) (/.f64 b a)))

localize127.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.5b	(fma.f64 b b (.f64 c (.f64 a -4)))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	35.2b	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))

Compiler

Compiled 190 to 109 computations (42.6% saved)

series10.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
1.0ms	b	@	0	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
1.0ms	a	@	inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
1.0ms	b	@	inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
0.0ms	c	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
110×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	225	23
2	2558	23

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
(fma.f64 b b (.f64 c (.f64 a -4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (*.f64 a -4)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) 1) (*.f64 c (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) (*.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 2) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/4) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3)) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 2) (*.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a -4)) 2)) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))))))

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

447×	`distribute-neg-frac_binary64`
361×	`times-frac_binary64`
338×	`unswap-sqr_binary64`
308×	`fma-neg_binary64`
294×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1001
1	227	934
2	742	911
3	3754	903
4	5041	903
5	6913	903

Stop Event

1×	node limit

Counts

105 → 78

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 b (/.f64 -4 b))))))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 b (/.f64 -4 b))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 b (/.f64 -4 b)))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 b (/.f64 -4 b)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
(+.f64 b (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))))
(+.f64 b (.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
(-.f64 b (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 b a)) (/.f64 -4 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) b))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(-.f64 (*.f64 2 (/.f64 c (/.f64 b a))) b)
(-.f64 (.f64 (/.f64 2 b) (.f64 c a)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))) b)
(-.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (-.f64 (/.f64 (.f64 (.f64 c c) 2) (/.f64 (pow.f64 b 3) (.f64 a a))) b)))
(fma.f64 4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (.f64 2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) b))
(-.f64 (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))) (fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
(+.f64 b (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))))
(+.f64 b (.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
(-.f64 b (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 b a)) (/.f64 -4 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) b))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
(+.f64 b (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))))))
(+.f64 b (.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
(-.f64 b (.f64 2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 -2 (/.f64 (.f64 c a) b)))))
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 b a)) (/.f64 -4 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) b))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (.f64 a (+.f64 (/.f64 c b) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 (.f64 -4 a) c)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 (.f64 -4 a) c)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 (.f64 -4 a) c)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 (.f64 -4 a) c)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 (.f64 -4 a) c)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))

localize93.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	13.6b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	23.6b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 194 to 113 computations (41.8% saved)

series46.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
6.0ms	c	@	0	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
4.0ms	c	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
3.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
3.0ms	b	@	0	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

rewrite174.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
607×	`log-prod_binary64`
289×	`fma-def_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	308	29
2	3774	29

Stop Event

1×	node limit

Counts

2 → 225

Calls

Call 1

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

Outputs

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1))))))

simplify248.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-def_binary64`
518×	`associate-r_binary64`
397×	`*-commutative_binary64`
386×	`associate-l_binary64`
303×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	4940
1	1653	4369
2	7564	4093

Stop Event

1×	node limit

Counts

297 → 350

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
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(+.f64 (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (pow.f64 c 2))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (pow.f64 c 2))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a)))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b)))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))))) (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))))))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)) (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))))) (pow.f64 a 2)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))))) (pow.f64 a 2))) (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) c))) (pow.f64 a 3))))))
(.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))))

Outputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(pow.f64 (.f64 a (.f64 -4 c)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 a (.f64 -4 c)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 -4 (.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(-.f64 (fma.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (.f64 (neg.f64 c) (.f64 a (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)))))
(fma.f64 (.f64 (neg.f64 c) (.f64 a (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (.f64 (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2))))) (.f64 c (.f64 a (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(sqrt.f64 b)
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(-.f64 (-.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) a)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (/.f64 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) c) (.f64 b (.f64 b (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c))))) (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) -7/8192) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)))) (pow.f64 a 3))) (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) c) (/.f64 (pow.f64 b 4) c)) (.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) (.f64 2 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c))))) (*.f64 a a)))
(.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))
(neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))
(-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(fma.f64 1/8 (/.f64 (.f64 b b) (/.f64 (.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))))
(-.f64 (.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) c)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(fma.f64 1/8 (/.f64 (.f64 b b) (/.f64 (.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 c c) (pow.f64 b 4))))) (.f64 a a)) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))
(-.f64 (-.f64 (.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c))) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (.f64 c c))) (.f64 a a))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))
(-.f64 (.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) c))) (+.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 c c))) (.f64 a a))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))))
(fma.f64 1/8 (/.f64 (.f64 b b) (/.f64 (.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 b b)) (.f64 c (pow.f64 a 3))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 c c) (pow.f64 b 4))))) (.f64 a a)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (pow.f64 a 3) (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 5/6144)))) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (fma.f64 1/8 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (/.f64 (/.f64 (.f64 c (pow.f64 a 3)) (.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (-.f64 (-.f64 (.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (/.f64 (pow.f64 a 3) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (.f64 c c))) (*.f64 a a)))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) c)) (fma.f64 1/8 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (/.f64 (/.f64 (.f64 c (pow.f64 a 3)) (.f64 b b)) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (-.f64 (.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (/.f64 (pow.f64 a 3) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)))) (+.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 c c))) (*.f64 a a))))))

localize121.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.3b	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
✓	13.1b	(sqrt.f64 (.f64 c (.f64 a -4)))
✓	18.5b	(-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (*.f64 b b))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 231 to 127 computations (45% saved)

series47.0ms (0.3%)

Counts

3 → 50

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	c	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
7.0ms	c	@	inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
6.0ms	a	@	0	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
5.0ms	a	@	inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
5.0ms	a	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
569×	`fma-def_binary64`
344×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	318	60
2	4525	60

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

Inputs

(-.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) (*.f64 b b))

(sqrt.f64 (*.f64 c (*.f64 a -4)))

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

Outputs

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simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac_binary64`
632×	`fma-def_binary64`
604×	`associate-/l*_binary64`
463×	`associate-/r*_binary64`
374×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1008
1	399	846
2	1620	774

Stop Event

1×	node limit

Counts

244 → 220

Calls

Call 1

Inputs
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (/.f64 (.f64 c a) b))

Outputs
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4)
(.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (.f64 -4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4 (/.f64 (.f64 4 b) -4))
(fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)) (.f64 -1 b))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (.f64 b b)) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 4 (/.f64 b -4) (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2)) (*.f64 b b))))
(fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -4))) (.f64 b b) (.f64 -1 b)))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (.f64 b b)) (fma.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (neg.f64 (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (sqrt.f64 -4))) (/.f64 2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3))))))
(fma.f64 4 (/.f64 b -4) (-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2)) (.f64 b b))) (.f64 (-.f64 (/.f64 2 (.f64 c (.f64 a 16))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2))) (sqrt.f64 -4))) (pow.f64 b 3))))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -4))) (.f64 b b) (.f64 -1 b))) (.f64 (fma.f64 (/.f64 (.f64 2 (sqrt.f64 (/.f64 (/.f64 1 c) a))) 16) (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a))) (/.f64 (/.f64 1/8 a) c)) (pow.f64 b 3)))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 -2 (.f64 a (/.f64 c b)) (/.f64 (.f64 -2 (.f64 a (.f64 a (*.f64 c c)))) (pow.f64 b 3)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (.f64 -2 (/.f64 c (/.f64 b a)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) (/.f64 -1/4 (/.f64 (pow.f64 b 5) (.f64 (*.f64 (pow.f64 c 3) 16) (pow.f64 a 3))))))
(fma.f64 -2 (.f64 a (/.f64 c b)) (fma.f64 -1/4 (.f64 (.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 -2 (.f64 a (.f64 a (*.f64 c c)))) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))) -5/32) (pow.f64 b 7)) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (-.f64 (fma.f64 -2 (.f64 (/.f64 c b) a) (/.f64 -1/4 (/.f64 (pow.f64 b 5) (.f64 (.f64 (pow.f64 c 3) 16) (pow.f64 a 3))))) (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(-.f64 (fma.f64 -2 (.f64 a (/.f64 c b)) (fma.f64 -1/4 (.f64 (.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 -2 (.f64 a (.f64 a (.f64 c c)))) (pow.f64 b 3)))) (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 7) 10)))
(*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(*.f64 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) 8)
(*.f64 (/.f64 b -4) 8)
(*.f64 -2 b)
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 2 (/.f64 (*.f64 c a) b)))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (*.f64 2 (/.f64 c (/.f64 b a))))
(fma.f64 2 (.f64 (/.f64 c b) a) (.f64 (/.f64 b -4) 8))
(fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 2 (/.f64 c (/.f64 b a)) (.f64 (/.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) -1/2)))
(fma.f64 (/.f64 b -4) 8 (fma.f64 2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) 2) (pow.f64 b 3))))
(+.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (/.f64 (.f64 2 (.f64 a (.f64 a (.f64 c c)))) (pow.f64 b 3)))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 1/4 (/.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) -1/2) (/.f64 (pow.f64 b 5) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 8 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) 2)) (.f64 (.f64 c a) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))) (fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (/.f64 (.f64 -1/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (pow.f64 b 5))))))))
(fma.f64 (/.f64 b -4) 8 (fma.f64 2 (.f64 (/.f64 c b) a) (+.f64 (fma.f64 8 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (.f64 c (.f64 (.f64 a 16) (pow.f64 b 5)))) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 16 (pow.f64 a 3))) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) 4) (pow.f64 b 3)))) (fma.f64 1/4 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) 2) (/.f64 (pow.f64 b 5) (.f64 a (.f64 c -4)))) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3))))))
(+.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (fma.f64 1/4 (.f64 (.f64 c (.f64 a -4)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 (pow.f64 b 5) 2))) (+.f64 (/.f64 (.f64 2 (.f64 a (.f64 a (.f64 c c)))) (pow.f64 b 3)) (fma.f64 -1/4 (.f64 (.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 (pow.f64 c 4) 1/16) (.f64 (pow.f64 c 4) 1/64))) (.f64 (*.f64 c a) (pow.f64 b 5))) 1/2)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))

eval2.1s (12%)

Compiler: Compiled 88364 to 53965 computations (38.9% saved)

prune326.0ms (1.9%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1617	27	1644
Fresh	7	2	9
Picked	1	0	1
Done	3	1	4
Total	1628	30	1658

Error

2.9b

Counts

1658 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	34.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (.f64 b b) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	35.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
	33.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	25.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	33.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
	31.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (.f64 c (.f64 a -4)) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.1b	(if (>=.f64 b 0) (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	28.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	24.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
	26.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))))
	40.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))))
▶	20.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	22.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/4) 1/3))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	25.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))
	24.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
▶	24.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
	22.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (expm1.f64 (log1p.f64 (.f64 2 (*.f64 (/.f64 c b) a)))))))
	34.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) (.f64 c a)) (.f64 b b)) (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	20.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	33.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
▶	25.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
▶	48.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
	33.9b	(if (>=.f64 b 0) (/.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) a)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	25.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	43.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
	48.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
▶	32.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	40.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) c))
✓	25.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	26.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 2) (cbrt.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))

Compiler

Compiled 2288 to 1561 computations (31.8% saved)

localize89.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	23.0b	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	53.2b	(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))

Compiler

Compiled 254 to 141 computations (44.5% saved)

series15.0ms (0.1%)

Counts

2 → 44

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
1.0ms	a	@	-inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
1.0ms	a	@	inf	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))
1.0ms	b	@	0	(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`prod-diff_binary64`
669×	`log-prod_binary64`
327×	`fma-def_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	293	40
2	3613	40

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c)))
(sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (*.f64 4 c))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c (*.f64 a 4)) (*.f64 (*.f64 c a) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c a) -4) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 c a) -4) 1) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))) (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) 2) (cbrt.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) (sqrt.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c a) -4) 3) (pow.f64 (*.f64 c (*.f64 a 4)) 3)) (fma.f64 (*.f64 (*.f64 c a) -4) (*.f64 (*.f64 c a) -4) (-.f64 (pow.f64 (*.f64 c (*.f64 a 4)) 2) (*.f64 (*.f64 (*.f64 c a) -4) (*.f64 c (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) -4) (*.f64 (*.f64 c a) -4)) (pow.f64 (*.f64 c (*.f64 a 4)) 2)) (-.f64 (*.f64 (*.f64 c a) -4) (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) (*.f64 c 4)) (exp.f64 (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a 4)))) (exp.f64 (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 c a) -4)) (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))) (cbrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) 2))) (sqrt.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) 3/2)) (sqrt.f64 (fma.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) (-.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))) (*.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a 4) (*.f64 (*.f64 c a) -4)))))) 1))))))

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac_binary64`
579×	`associate-/l*_binary64`
524×	`unswap-sqr_binary64`
452×	`associate-/r*_binary64`
322×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	755
1	380	607
2	1401	576
3	7230	576

Stop Event

1×	node limit

Counts

103 → 93

Calls

Call 1

Inputs
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 5))) (pow.f64 b 6))) (+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))))
b
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) b)) b)
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))) b))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3))) b)))
(*.f64 -1 b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -1 b))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) b)
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b)))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) b)
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3))))))

Outputs
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 c (+.f64 (.f64 4 a) (*.f64 -4 a)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 c (+.f64 (.f64 4 a) (.f64 -4 a))))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 a (+.f64 (.f64 4 c) (*.f64 -4 c)))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(.f64 -1 (.f64 a (+.f64 (.f64 4 c) (.f64 -4 c))))
(.f64 c (.f64 a 0))
0
(sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 a (.f64 c -4)))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (*.f64 b b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (.f64 a -4)))) (.f64 b b)) (sqrt.f64 (.f64 c (.f64 a -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (sqrt.f64 (.f64 c (.f64 a -4))))
(+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (.f64 b b)))))
(+.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (.f64 a -4)))) (.f64 (.f64 b b) 1/2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)) -64)) (pow.f64 b 4)) (sqrt.f64 (.f64 c (.f64 a -4)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 5))) (pow.f64 b 6))) (+.f64 (sqrt.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3))) (pow.f64 b 4))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))))) (pow.f64 b 2))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 5))) (pow.f64 b 6)) (+.f64 (sqrt.f64 (.f64 a (.f64 c -4))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 a (.f64 c -4)) 3))) (pow.f64 b 4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (.f64 c -4)))) (*.f64 b b))))))
(+.f64 (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (.f64 c a) 3) -64))) (pow.f64 b 4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (.f64 a -4)))) (.f64 (.f64 b b) 1/2))) (fma.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c (.f64 a -4)) 5)))) (pow.f64 b 6) (sqrt.f64 (.f64 c (*.f64 a -4)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c (.f64 a -4)) 5))) (.f64 1/16 (pow.f64 b 6)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 -1/4 c) a)) (.f64 b b)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 c a) 3)) -64)) (pow.f64 b 4)) (sqrt.f64 (.f64 c (*.f64 a -4))))))
b
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) b)) b)
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(+.f64 b (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 b (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3))) b)))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b)))
(+.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (.f64 -1 b))
(fma.f64 -1/2 (/.f64 (.f64 a (.f64 c -4)) b) (neg.f64 b))
(-.f64 (.f64 (/.f64 a (/.f64 b (.f64 c -4))) -1/2) b)
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (*.f64 c a))) 2) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1 b (.f64 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) 1/8)))
(fma.f64 (/.f64 a (/.f64 b (.f64 c -4))) -1/2 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8) b))
(fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 3) (pow.f64 b 5))) (+.f64 (.f64 -1 b) (.f64 1/8 (/.f64 (pow.f64 (+.f64 (.f64 -8 (.f64 c a)) (.f64 4 (.f64 c a))) 2) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1 b (.f64 (/.f64 (pow.f64 (.f64 a (*.f64 c -4)) 2) (pow.f64 b 3)) 1/8))))
(fma.f64 (/.f64 a (/.f64 b (.f64 c -4))) -1/2 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) -1/16 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8) b)))
(fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) -1/16 (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) 1/8 (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) b)
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(+.f64 b (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 b (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) c) b)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 4 a) (.f64 -8 a)) 2) (pow.f64 c 2)) (pow.f64 b 3))) b)))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b)))
(+.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b)))
b
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) b)
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) b)
(fma.f64 1/2 (/.f64 a (/.f64 b (*.f64 c -4))) b)
(+.f64 b (/.f64 -2 (/.f64 b (*.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b))
(+.f64 b (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 3)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (+.f64 (.f64 -8 c) (.f64 4 c))) b)) (+.f64 b (.f64 -1/8 (/.f64 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 (.f64 -8 c) (.f64 4 c)) 2)) (pow.f64 b 3))))))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c -4)) b) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 a (.f64 c -4)) 2) (pow.f64 b 3)) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b (.f64 c -4))) (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (.f64 c a) 3) -64) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (*.f64 a -4)) 2) (pow.f64 b 3)) b)))
(+.f64 (/.f64 -2 (/.f64 b (.f64 c a))) (fma.f64 -1/8 (/.f64 (pow.f64 (.f64 c (.f64 a -4)) 2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (/.f64 (pow.f64 b 5) -64)) b)))

localize15.0ms (0.1%)

Compiler: Compiled 47 to 21 computations (55.3% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.7b	(*.f64 a (/.f64 c b))
	3.7b	(.f64 (/.f64 c b) (.f64 a 2))
✓	3.8b	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
	4.3b	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2))))

Compiler

Compiled 129 to 61 computations (52.7% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
1.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
1.0ms	c	@	-inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
1.0ms	b	@	-inf	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
1.0ms	c	@	0	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`log-prod_binary64`
268×	`fma-def_binary64`
255×	`pow1/3_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	292	27
2	4391	27

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
(*.f64 a (/.f64 c b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 1/2 a))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 1/2 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b (/.f64 1/2 a)) (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 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c b)) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) 2) a) (/.f64 (cbrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) a) (/.f64 (sqrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) 2) (/.f64 (sqrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) 2) 2) (/.f64 (cbrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) 1) (/.f64 (sqrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 (/.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1/2 a) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 b (/.f64 1/2 a))) (cbrt.f64 (*.f64 b (/.f64 1/2 a)))) (cbrt.f64 (*.f64 b (/.f64 1/2 a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b (/.f64 1/2 a))) (sqrt.f64 (*.f64 b (/.f64 1/2 a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 b a) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1) (/.f64 b 2) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) 2) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) 2) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 2) (/.f64 (sqrt.f64 b) a) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 a) (/.f64 b 2) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 2) (/.f64 (cbrt.f64 b) a) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 a a)) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 a a)) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 b (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 b (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 b (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 (+.f64 a a))) (/.f64 (sqrt.f64 b) (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 a a))) (/.f64 b (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 a (/.f64 c b)) b) (/.f64 1/2 a))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 a c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 c b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 c b))) 1))))))

simplify128.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
461×	`fma-neg_binary64`
328×	`div-sub_binary64`
248×	`associate-/l*_binary64`
175×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	620
1	18	566
2	31	566
3	43	566
4	57	566
5	87	566
6	151	566
7	217	566
8	384	566
9	791	566
10	1755	566
11	3017	566
12	3772	566
13	3990	566
14	4205	566
15	4271	566
16	4311	566
17	4347	566
18	4347	566

Stop Event

1×

saturated

Counts

172 → 107

Calls

Call 1

Inputs
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)

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

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
✓	0.2b	(.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
✓	1.5b	(-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
	13.1b	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 122 to 75 computations (38.5% saved)

series90.0ms (0.5%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
20.0ms	c	@	inf	(.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
13.0ms	c	@	-inf	(/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
8.0ms	c	@	0	(.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
6.0ms	c	@	-inf	(.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
4.0ms	c	@	inf	(/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`log-prod_binary64`
575×	`prod-diff_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
248×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	319	54
2	3995	54

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

Inputs

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

(*.f64 (*.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 c -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 c c) 4)) (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (*.f64 c -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 c -2)) (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (sqrt.f64 (*.f64 c -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c -2)) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c -2) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c -2) 1) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c -2) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 c -2)) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c -2) -1) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (/.f64 -2 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c -2) 3) (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 c -2) 3) (pow.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3) (pow.f64 (*.f64 c -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 c (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) -2)) (/.f64 1 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) -1/2) (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) -1) (pow.f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1))))))

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

466×	`associate-*l/_binary64`
460×	`associate-*r/_binary64`
310×	`associate-+l+_binary64`
270×	`associate-r_binary64`
258×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	1977
1	745	1550
2	3229	1468
3	7619	1462

Stop Event

1×	node limit

Counts

191 → 226

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 -2 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))
(.f64 4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (.f64 4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b)))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (.f64 4 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (.f64 2 (/.f64 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 c b)) (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/128 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 -1 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 -1 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(+.f64 (.f64 -1 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))
(.f64 -2 (/.f64 b (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(-.f64 (.f64 -2 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 1/2 (/.f64 1 b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (.f64 -2 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))) (*.f64 1/2 (/.f64 1 b)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/8 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))) (.f64 -2 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))) (.f64 1/2 (/.f64 1 b)))
(/.f64 1/2 b)
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 1/2 (/.f64 1 b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 1 b))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 1 b)) (.f64 -1/128 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 7)))))))

Outputs
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 c a))) (sqrt.f64 -4) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 -1/2 (.f64 (/.f64 c (/.f64 b a)) -4))
(.f64 (/.f64 (.f64 -1/2 c) (/.f64 b a)) -4)
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 -1/2 (.f64 (/.f64 c (/.f64 b a)) -4) (.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16)))))
(fma.f64 -1/2 (.f64 (/.f64 c b) (.f64 a -4)) (.f64 (/.f64 (.f64 1/8 (.f64 c c)) (pow.f64 b 3)) (.f64 a (*.f64 a 16))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (/.f64 (.f64 -1/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (pow.f64 b 5))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) (fma.f64 -1/2 (.f64 (/.f64 c (/.f64 b a)) -4) (.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) (fma.f64 -1/2 (.f64 (/.f64 c b) (.f64 a -4)) (.f64 (/.f64 -1/16 (pow.f64 b 5)) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -1/8) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) (fma.f64 -1/2 (.f64 (/.f64 c (/.f64 b a)) -4) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) (/.f64 1/2 (/.f64 (pow.f64 b 7) (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -2) 2)))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) (fma.f64 -1/2 (.f64 (/.f64 c b) (.f64 a -4)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) (.f64 (/.f64 1/2 (pow.f64 b 7)) (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64)))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2))
(fma.f64 b 2 (/.f64 (*.f64 c 1/2) (/.f64 (/.f64 b a) -4)))
(fma.f64 b 2 (*.f64 (/.f64 1/2 (/.f64 (/.f64 b a) -4)) c))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (.f64 b 2)))
(+.f64 (fma.f64 b 2 (/.f64 (.f64 c 1/2) (/.f64 (/.f64 b a) -4))) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 b 2 (.f64 (/.f64 1/2 (/.f64 (/.f64 b a) -4)) c)) (/.f64 (.f64 (.f64 c (.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b) (*.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) 1/16 (fma.f64 b 2 (/.f64 (*.f64 c 1/2) (/.f64 (/.f64 b a) -4)))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) 1/16 (fma.f64 b 2 (*.f64 (/.f64 1/2 (/.f64 (/.f64 b a) -4)) c))))
(.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 2 (.f64 (pow.f64 b 2) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(fma.f64 2 (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (.f64 2 (+.f64 (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (.f64 (.f64 b b) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))
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(-.f64 (fma.f64 -1 (/.f64 (.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) -1/8) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/16 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (fma.f64 2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -1/8) 2)) (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) -1/8))))))) (pow.f64 b 5)) (.f64 -2 (/.f64 b (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))) (/.f64 1/2 b))
(+.f64 (-.f64 (-.f64 (/.f64 (.f64 b -2) (.f64 a (.f64 -4 c))) (/.f64 (+.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -1) (fma.f64 2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -2) 2)) (.f64 (.f64 c c) (.f64 a (.f64 a 16)))) (.f64 1/4 (.f64 (.f64 a (.f64 -4 c)) (.f64 (.f64 c a) 1/2))))) (pow.f64 b 5))) (/.f64 (.f64 (*.f64 c a) 1/2) (pow.f64 b 3))) (/.f64 -1/2 b))
(+.f64 (fma.f64 (/.f64 -2 c) (/.f64 (/.f64 b a) -4) (/.f64 -1/2 b)) (-.f64 (/.f64 (.f64 (.f64 c a) -1/2) (pow.f64 b 3)) (/.f64 (+.f64 (.f64 (.f64 c (.f64 c (.f64 a a))) -1) (fma.f64 1/4 (.f64 a (.f64 (.f64 -4 (.f64 (.f64 c a) 1/2)) c)) (.f64 (/.f64 2 (.f64 c (.f64 (.f64 a a) (.f64 16 c)))) (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64)))))) (pow.f64 b 5))))
(/.f64 1/2 b)
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 1/2 (/.f64 1 b)))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 1/2 b))
(+.f64 (/.f64 1/2 b) (/.f64 (.f64 (.f64 c a) 1/2) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 1 b))))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (/.f64 1/2 b)))
(+.f64 (/.f64 (.f64 (.f64 c a) 1/2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 5) (.f64 a (.f64 a 16))) c)) (/.f64 1/2 b)))
(+.f64 (/.f64 (.f64 (.f64 c a) 1/2) (pow.f64 b 3)) (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) 16)) (*.f64 a a)) (/.f64 1/2 b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 7))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 1 b)) (.f64 -1/128 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 7)))))))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 7)) (+.f64 (fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (/.f64 1/2 b)) (.f64 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 7)) -1/128))))
(+.f64 (/.f64 (.f64 (.f64 c a) 1/2) (pow.f64 b 3)) (fma.f64 -1/32 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 7)) (.f64 (pow.f64 a 3) -64)) (fma.f64 1/16 (/.f64 c (/.f64 (/.f64 (pow.f64 b 5) (.f64 a (.f64 a 16))) c)) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 7)) (.f64 (pow.f64 a 3) -64)) -1/128 (/.f64 1/2 b)))))
(+.f64 (/.f64 (.f64 (.f64 c a) 1/2) (pow.f64 b 3)) (+.f64 (fma.f64 1/16 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) 16)) (.f64 a a)) (/.f64 1/2 b)) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 7) -64) (pow.f64 a 3))) -5/128)))

localize91.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
	1.2b	(-.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))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 200 to 132 computations (34% saved)

series121.0ms (0.7%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	a	@	-inf	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
27.0ms	a	@	inf	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
20.0ms	a	@	0	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
14.0ms	c	@	0	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
13.0ms	c	@	-inf	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
335×	`pow2_binary64`
319×	`pow-prod-down_binary64`
232×	`pow-to-exp_binary64`
227×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	300	15
2	3247	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 4) 1/4) (*.f64 (pow.f64 (neg.f64 c) 1/4) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 c) 1/4) (*.f64 (pow.f64 (*.f64 a 4) 1/4) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 c)) (*.f64 2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (cbrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1/4) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 3/2) (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (pow.f64 (*.f64 a 4) 1/4)) (pow.f64 (neg.f64 c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (pow.f64 (neg.f64 c) 1/4)) (pow.f64 (*.f64 a 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 5/6) (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 1) 1))))))

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

423×	`fma-neg_binary64`
379×	`exp-sum_binary64`
362×	`fma-def_binary64`
357×	`distribute-rgt-in_binary64`
295×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	456
1	154	456
2	392	384
3	1104	216
4	4107	216

Stop Event

1×	node limit

Counts

54 → 37

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)

Outputs
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -4 c) 1/4) (pow.f64 a 1/4)) 2)
(sqrt.f64 (.f64 (.f64 a -4) c))

eval920.0ms (5.4%)

Compiler: Compiled 52668 to 33007 computations (37.3% saved)

prune243.0ms (1.4%)

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1072	15	1087
Fresh	3	21	24
Picked	1	0	1
Done	2	3	5
Total	1078	39	1117

Error

1.7b

Counts

1117 → 39

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (.f64 b b) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	35.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
▶	27.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (expm1.f64 (log1p.f64 (.f64 2 (*.f64 (/.f64 c b) a)))))))
	33.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	25.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	33.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
	26.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 -2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) c)))
	37.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))))))
	48.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (.f64 (/.f64 -2 c) (/.f64 (/.f64 b a) -4))))
▶	24.5b	(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
	31.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (.f64 c (.f64 a -4)) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.1b	(if (>=.f64 b 0) (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	28.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	38.4b	(if (>=.f64 b 0) (expm1.f64 (log1p.f64 (.f64 (-.f64 b (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (/.f64 1/2 a)))) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
	24.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
	26.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))))
✓	20.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	22.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/4) 1/3))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	25.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))
	24.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
	24.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))))
	48.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 b a))
	34.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) (.f64 c a)) (.f64 b b)) (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	20.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	33.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	24.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 c (/.f64 a b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
✓	48.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
	33.9b	(if (>=.f64 b 0) (/.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) a)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	40.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))))))))
✓	25.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	38.2b	(if (>=.f64 b 0) (.f64 (/.f64 1/2 a) (-.f64 b (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
	25.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
	32.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.f64 (.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	43.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
	48.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
▶	24.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (*.f64 c -2) (/.f64 1/2 b)))
	40.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) c))
	24.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (*.f64 b -2))) c))
	31.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 a 4) (neg.f64 c))) 3))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))

Compiler

Compiled 2774 to 1875 computations (32.4% saved)

localize77.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	13.6b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	23.6b	(pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4)

Compiler

Compiled 200 to 113 computations (43.5% saved)

series19.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	(pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4)
2.0ms	c	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))
1.0ms	a	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))
1.0ms	c	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))
1.0ms	a	@	-inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))

rewrite104.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`log-prod_binary64`
495×	`fma-def_binary64`
294×	`fma-neg_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	338	29
2	4420	29

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs
(pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4)
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)) 1/4) 2))

Outputs

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simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-def_binary64`
518×	`associate-r_binary64`
397×	`*-commutative_binary64`
386×	`associate-l_binary64`
303×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	4964
1	1653	4369
2	7564	4093

Stop Event

1×	node limit

Counts

206 → 260

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
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(+.f64 (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (pow.f64 c 2))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))) (pow.f64 c 2))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a)))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b)))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) b))))) (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))))))))
(.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)) (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))))) (pow.f64 a 2)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))))) (pow.f64 a 2))) (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) c))) (pow.f64 a 3))))))
(.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))))

Outputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(*.f64 1 (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(fma.f64 -1 (.f64 (.f64 (.f64 c a) 1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 1 (sqrt.f64 b)))
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 (.f64 (.f64 c a) 1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (*.f64 1 (sqrt.f64 b))))
(-.f64 (.f64 (sqrt.f64 b) (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4)) 1)) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(fma.f64 -1 (.f64 (.f64 (.f64 c a) 1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (fma.f64 (.f64 (pow.f64 c 3) (fma.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -10/3))) (.f64 1 (sqrt.f64 b)) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (.f64 1 (sqrt.f64 b)))))
(-.f64 (.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4)) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2)))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))
(.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) (.f64 (/.f64 a b) (/.f64 c b))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) c) (/.f64 (.f64 b b) a)) (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (/.f64 (.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))))))
(+.f64 (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) (.f64 (/.f64 a b) (/.f64 c b))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (.f64 c c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))))
(+.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) c) (/.f64 (.f64 b b) a)) (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) c) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) c)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (+.f64 (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (/.f64 (.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))))) (/.f64 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))))))
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(-.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) c)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2))) (+.f64 (/.f64 (fma.f64 2 (.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (.f64 1/256 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) c) (/.f64 (pow.f64 b 4) c)))) (.f64 a a)) (/.f64 (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2) c) (.f64 b (.f64 b (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c))))) (.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) -7/8192) (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)))) (pow.f64 a 3))))
(.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))
(neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))
(-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))))
(-.f64 (.f64 (.f64 1/8 (/.f64 (.f64 b b) c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) a)) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))
(-.f64 (.f64 (.f64 1/8 (/.f64 (.f64 b b) c)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) a)) (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (*.f64 c 4) 1/4)) 2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 c c) (pow.f64 b 4))))) (.f64 a a)) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))
(-.f64 (-.f64 (.f64 (.f64 1/8 (/.f64 (.f64 b b) c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) a)) (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 2 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c))))) (.f64 a a))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))
(-.f64 (.f64 (.f64 1/8 (/.f64 (.f64 b b) c)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) a)) (+.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) c) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) c)) (.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) (.f64 2 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c))))) (*.f64 a a))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 b b)) (.f64 c (pow.f64 a 3))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 c c) (pow.f64 b 4))))) (.f64 a a)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (pow.f64 a 3) (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 5/6144)))) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (fma.f64 1/8 (/.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (/.f64 (/.f64 (.f64 c (pow.f64 a 3)) (.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) -3/512)) (-.f64 (-.f64 (/.f64 2 (/.f64 (pow.f64 a 3) (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 2 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c))))) (*.f64 a a)))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) c)) (fma.f64 1/8 (/.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (/.f64 (/.f64 (.f64 c (pow.f64 a 3)) (.f64 b b)) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) -3/512)) (-.f64 (/.f64 2 (/.f64 (pow.f64 a 3) (.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)))) (+.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) (/.f64 (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) c) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) c)) (.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) (.f64 2 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c))))) (*.f64 a a))))))

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 c -2) (/.f64 1/2 b))

Compiler

Compiled 62 to 36 computations (41.9% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(.f64 (.f64 c -2) (/.f64 1/2 b))
1.0ms	b	@	inf	(.f64 (.f64 c -2) (/.f64 1/2 b))
1.0ms	b	@	0	(.f64 (.f64 c -2) (/.f64 1/2 b))
0.0ms	c	@	inf	(.f64 (.f64 c -2) (/.f64 1/2 b))
0.0ms	c	@	-inf	(.f64 (.f64 c -2) (/.f64 1/2 b))

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`pow1_binary64`
746×	`add-log-exp_binary64`
746×	`log1p-expm1-u_binary64`
746×	`expm1-log1p-u_binary64`
733×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	7
2	2036	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(.f64 (.f64 c -2) (/.f64 1/2 b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 c (/.f64 -1 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -2) (*.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c -1)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c -1) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c -1) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c -1) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 c -2)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c -2) -1/2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 -1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 -1 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 -1 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 -1 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 -1 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 -1 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 c -2) 3) (pow.f64 (/.f64 1/2 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 b) 3) (pow.f64 (*.f64 c -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 -1 b))))))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	144
1	10	144
2	17	144
3	23	144
4	29	144
5	37	144
6	45	144
7	55	144
8	63	144
9	77	144

Stop Event

1×

saturated

Counts

46 → 24

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))

Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	0.0b	(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
	3.7b	(.f64 (/.f64 c b) (.f64 a 2))
	4.3b	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2))))

Compiler

Compiled 87 to 42 computations (51.7% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
0.0ms	a	@	0	(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms	b	@	inf	(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms	c	@	0	(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms	b	@	0	(-.f64 (/.f64 c b) (/.f64 b a))

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`log-prod_binary64`
372×	`fma-def_binary64`
366×	`pow2_binary64`
256×	`pow1/3_binary64`
249×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	270	24
2	3896	24

Stop Event

1×	node limit

Counts

2 → 173

Calls

Call 1

Inputs
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))
(-.f64 (/.f64 c b) (/.f64 b a))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 c b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 c b) 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simplify155.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1032×	`fma-def_binary64`
939×	`fma-neg_binary64`
799×	`div-sub_binary64`
424×	`times-frac_binary64`
383×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	16	812
1	29	758
2	56	758
3	92	758
4	139	758
5	199	758
6	315	758
7	418	758
8	782	758
9	1768	731
10	4219	731
11	5275	731
12	6127	731
13	6268	731
14	6332	731
15	6332	731
16	7824	731

Stop Event

1×	node limit

Counts

245 → 184

Calls

Call 1

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

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

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(-.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))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	40.3b	(cbrt.f64 (pow.f64 (*.f64 b b) 3/2))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(cbrt.f64 (pow.f64 (*.f64 b b) 3/2))
0.0ms	b	@	inf	(cbrt.f64 (pow.f64 (*.f64 b b) 3/2))
0.0ms	b	@	-inf	(cbrt.f64 (pow.f64 (*.f64 b b) 3/2))

rewrite37.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

413×	`pow1_binary64`
405×	`add-sqr-sqrt_binary64`
393×	`add-log-exp_binary64`
393×	`log1p-expm1-u_binary64`
393×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	1
2	1406	1

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 b b) 3/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2)) (log.f64 (cbrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 b))) (log.f64 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (cbrt.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b b) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x . b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	20
1	6	20
2	8	20
3	9	20
4	11	20
5	15	20
6	19	20
7	24	20

Stop Event

1×

saturated

Counts

34 → 25

Calls

Call 1

Inputs
b
b
b
b
b
b
b
b
(*.f64 -1 b)
(*.f64 -1 b)
(*.f64 -1 b)
(*.f64 -1 b)

Outputs
b
b
b
b
b
b
b
b
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.7b	(*.f64 (/.f64 c b) a)
	3.7b	(*.f64 a (/.f64 c b))
	3.8b	(/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a))
✓	3.9b	(log1p.f64 (.f64 2 (.f64 (/.f64 c b) a)))

Compiler

Compiled 154 to 69 computations (55.2% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(log1p.f64 (.f64 2 (.f64 (/.f64 c b) a)))
1.0ms	a	@	0	(log1p.f64 (.f64 2 (.f64 (/.f64 c b) a)))
1.0ms	c	@	inf	(log1p.f64 (.f64 2 (.f64 (/.f64 c b) a)))
1.0ms	b	@	0	(log1p.f64 (.f64 2 (.f64 (/.f64 c b) a)))
1.0ms	a	@	-inf	(log1p.f64 (.f64 2 (.f64 (/.f64 c b) a)))

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`pow1_binary64`
872×	`add-log-exp_binary64`
872×	`expm1-log1p-u_binary64`
871×	`log1p-expm1-u_binary64`
853×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	186	19
2	2347	19

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(log1p.f64 (.f64 2 (.f64 (/.f64 c b) a)))
(*.f64 (/.f64 c b) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))) (sqrt.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 c b) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 2 (*.f64 (/.f64 c b) a)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 c b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 c b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))))))

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

760×	`times-frac_binary64`
647×	`associate-+l+_binary64`
510×	`unswap-sqr_binary64`
460×	`fma-def_binary64`
443×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1683
1	350	1631
2	1188	1574
3	6960	1523

Stop Event

1×	node limit

Counts

110 → 79

Calls

Call 1

Inputs
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 -4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 1/2 (/.f64 b (.f64 c a)))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/2 (/.f64 b (.f64 c a))))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 1/2 (/.f64 b (.f64 c a)))))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/2 (/.f64 b (.f64 c a))))))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (*.f64 -1 (log.f64 b)))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (+.f64 (.f64 -1 (log.f64 b)) (.f64 1/2 (/.f64 b (*.f64 c a)))))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 b)) (.f64 1/2 (/.f64 b (*.f64 c a))))))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 b)) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (.f64 1/24 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 -4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 -4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 -4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 2 (/.f64 c b))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (log.f64 (.f64 2 (/.f64 c b))) (.f64 1/2 (/.f64 b (.f64 c a)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 2 (/.f64 c b))) (.f64 1/2 (/.f64 b (.f64 c a))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (.f64 2 (/.f64 c b))) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (.f64 -2 (/.f64 c b))) (.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 -2 (/.f64 c b))) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 (.f64 -2 (/.f64 c b))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (log.f64 (.f64 -2 (/.f64 c b))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)

Outputs
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(*.f64 (/.f64 a (/.f64 b 2)) c)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 b b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 c c) -2) (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -2 (.f64 (.f64 (.f64 (/.f64 c b) (/.f64 c b)) a) a) (.f64 (/.f64 a (/.f64 b 2)) c))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 8/3 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 b b)))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 a a) b)) (.f64 8/3 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (pow.f64 a 3)))))
(fma.f64 2 (.f64 a (/.f64 c b)) (fma.f64 -2 (.f64 (.f64 (.f64 (/.f64 c b) (/.f64 c b)) a) a) (*.f64 (/.f64 8/3 (pow.f64 (/.f64 b c) 3)) (pow.f64 a 3))))
(fma.f64 2 (.f64 a (/.f64 c b)) (fma.f64 -2 (.f64 (.f64 (.f64 (/.f64 c b) (/.f64 c b)) a) a) (/.f64 8/3 (pow.f64 (/.f64 (/.f64 b c) a) 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 -4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 8/3 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 b b)) (.f64 -4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 8/3 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (pow.f64 a 3)) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 a a) b)) (.f64 -4 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 4)) (pow.f64 a 4))))))
(fma.f64 8/3 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b a) 3)) (fma.f64 2 (.f64 a (/.f64 c b)) (fma.f64 -4 (.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b 4))) (.f64 -2 (.f64 (.f64 (.f64 (/.f64 c b) (/.f64 c b)) a) a)))))
(fma.f64 8/3 (pow.f64 (.f64 a (/.f64 c b)) 3) (fma.f64 2 (.f64 a (/.f64 c b)) (fma.f64 -2 (.f64 (.f64 (*.f64 (/.f64 c b) (/.f64 c b)) a) a) (/.f64 -4 (/.f64 (pow.f64 (/.f64 b c) 4) (pow.f64 a 4))))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (log.f64 (/.f64 (*.f64 2 a) b)) (neg.f64 (neg.f64 (log.f64 c))))
(+.f64 (log.f64 (*.f64 2 (/.f64 a b))) (log.f64 c))
(+.f64 (log.f64 (/.f64 a (/.f64 b 2))) (log.f64 c))
(-.f64 (log.f64 (*.f64 2 c)) (log.f64 (/.f64 b a)))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (.f64 1/2 (/.f64 b (.f64 c a)))))
(+.f64 (log.f64 (/.f64 (.f64 2 a) b)) (fma.f64 -1 (neg.f64 (log.f64 c)) (.f64 1/2 (/.f64 b (*.f64 c a)))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (fma.f64 1/2 (/.f64 b (.f64 c a)) (log.f64 c)))
(+.f64 (log.f64 (/.f64 a (/.f64 b 2))) (fma.f64 1/2 (/.f64 (/.f64 b c) a) (log.f64 c)))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/2 (/.f64 b (.f64 c a))))))
(+.f64 (log.f64 (/.f64 (.f64 2 a) b)) (fma.f64 -1 (neg.f64 (log.f64 c)) (fma.f64 -1/8 (/.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 a a))) (.f64 1/2 (/.f64 b (*.f64 c a))))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (log.f64 c) (fma.f64 1/2 (/.f64 b (.f64 c a)) (.f64 -1/8 (.f64 (/.f64 b (.f64 c c)) (/.f64 b (.f64 a a)))))))
(+.f64 (log.f64 (/.f64 a (/.f64 b 2))) (fma.f64 1/2 (/.f64 (/.f64 b c) a) (fma.f64 -1/8 (*.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a)) (log.f64 c))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (/.f64 (.f64 2 a) b)) (fma.f64 -1 (neg.f64 (log.f64 c)) (fma.f64 -1/8 (/.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 a a))) (fma.f64 1/2 (/.f64 b (.f64 c a)) (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (log.f64 c) (fma.f64 -1/8 (.f64 (/.f64 b (.f64 c c)) (/.f64 b (.f64 a a))) (fma.f64 1/2 (/.f64 b (.f64 c a)) (.f64 1/24 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 b c) a) (fma.f64 1/24 (/.f64 (pow.f64 (/.f64 b a) 3) (pow.f64 c 3)) (log.f64 (.f64 2 (/.f64 c b))))) (fma.f64 -1/8 (.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a)) (log.f64 a)))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 b c) a) (fma.f64 1/24 (pow.f64 (/.f64 (/.f64 b c) a) 3) (log.f64 (.f64 2 (/.f64 c b))))) (fma.f64 -1/8 (.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a)) (log.f64 a)))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (/.f64 (*.f64 -2 a) b)) (neg.f64 (log.f64 (/.f64 -1 c))))
(-.f64 (log.f64 (/.f64 -2 (/.f64 b a))) (log.f64 (/.f64 -1 c)))
(-.f64 (log.f64 (*.f64 (/.f64 -2 b) a)) (log.f64 (/.f64 -1 c)))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (.f64 1/2 (/.f64 b (.f64 c a)))))
(+.f64 (log.f64 (/.f64 (.f64 -2 a) b)) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (.f64 1/2 (/.f64 b (*.f64 c a)))))
(+.f64 (/.f64 (/.f64 (*.f64 b 1/2) c) a) (-.f64 (log.f64 (/.f64 -2 (/.f64 b a))) (log.f64 (/.f64 -1 c))))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 b c) a) (log.f64 (*.f64 (/.f64 -2 b) a))) (log.f64 (/.f64 -1 c)))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/2 (/.f64 b (.f64 c a))))))
(+.f64 (log.f64 (/.f64 (.f64 -2 a) b)) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (fma.f64 -1/8 (/.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 a a))) (.f64 1/2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 1/2 (/.f64 b (.f64 c a)) (.f64 -1/8 (.f64 (/.f64 b (.f64 c c)) (/.f64 b (*.f64 a a))))) (-.f64 (log.f64 (/.f64 -2 (/.f64 b a))) (log.f64 (/.f64 -1 c))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a))) (-.f64 (fma.f64 1/2 (/.f64 (/.f64 b c) a) (log.f64 (*.f64 (/.f64 -2 b) a))) (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 -2 (/.f64 a b))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 c))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (/.f64 (.f64 -2 a) b)) (fma.f64 -1 (log.f64 (/.f64 -1 c)) (fma.f64 -1/8 (/.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 a a))) (fma.f64 1/2 (/.f64 b (.f64 c a)) (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (fma.f64 -1/8 (.f64 (/.f64 b (.f64 c c)) (/.f64 b (.f64 a a))) (fma.f64 1/2 (/.f64 b (.f64 c a)) (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (-.f64 (log.f64 (/.f64 -2 (/.f64 b a))) (log.f64 (/.f64 -1 c))))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 b c) a) (fma.f64 -1/8 (.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a)) (.f64 (pow.f64 (/.f64 b a) 3) (/.f64 1/24 (pow.f64 c 3))))) (-.f64 (log.f64 (/.f64 -1 c)) (log.f64 (*.f64 (/.f64 -2 b) a))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 b c) a) (fma.f64 -1/8 (.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a)) (.f64 1/24 (pow.f64 (/.f64 (/.f64 b c) a) 3)))) (-.f64 (log.f64 (*.f64 (/.f64 -2 b) a)) (log.f64 (/.f64 -1 c))))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (*.f64 -1 (log.f64 b)))
(+.f64 (log.f64 (/.f64 (*.f64 2 a) b)) (neg.f64 (neg.f64 (log.f64 c))))
(+.f64 (log.f64 (*.f64 2 (/.f64 a b))) (log.f64 c))
(+.f64 (log.f64 (/.f64 a (/.f64 b 2))) (log.f64 c))
(-.f64 (log.f64 (*.f64 2 c)) (log.f64 (/.f64 b a)))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (+.f64 (.f64 -1 (log.f64 b)) (.f64 1/2 (/.f64 b (*.f64 c a)))))
(+.f64 (log.f64 (/.f64 (.f64 2 a) b)) (fma.f64 -1 (neg.f64 (log.f64 c)) (.f64 1/2 (/.f64 b (*.f64 c a)))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (fma.f64 1/2 (/.f64 b (.f64 c a)) (log.f64 c)))
(+.f64 (log.f64 (/.f64 a (/.f64 b 2))) (fma.f64 1/2 (/.f64 (/.f64 b c) a) (log.f64 c)))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 b)) (.f64 1/2 (/.f64 b (*.f64 c a))))))
(+.f64 (log.f64 (/.f64 (.f64 2 a) b)) (fma.f64 -1 (neg.f64 (log.f64 c)) (fma.f64 -1/8 (/.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 a a))) (.f64 1/2 (/.f64 b (*.f64 c a))))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (log.f64 c) (fma.f64 1/2 (/.f64 b (.f64 c a)) (.f64 -1/8 (.f64 (/.f64 b (.f64 c c)) (/.f64 b (.f64 a a)))))))
(+.f64 (log.f64 (/.f64 a (/.f64 b 2))) (fma.f64 1/2 (/.f64 (/.f64 b c) a) (fma.f64 -1/8 (*.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a)) (log.f64 c))))
(+.f64 (log.f64 (.f64 2 (.f64 c a))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 -1 (log.f64 b)) (+.f64 (.f64 1/2 (/.f64 b (.f64 c a))) (.f64 1/24 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (/.f64 (.f64 2 a) b)) (fma.f64 -1 (neg.f64 (log.f64 c)) (fma.f64 -1/8 (/.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 a a))) (fma.f64 1/2 (/.f64 b (.f64 c a)) (.f64 1/24 (/.f64 (pow.f64 b 3) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (.f64 2 (/.f64 a b))) (+.f64 (log.f64 c) (fma.f64 -1/8 (.f64 (/.f64 b (.f64 c c)) (/.f64 b (.f64 a a))) (fma.f64 1/2 (/.f64 b (.f64 c a)) (.f64 1/24 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 b c) a) (fma.f64 1/24 (/.f64 (pow.f64 (/.f64 b a) 3) (pow.f64 c 3)) (log.f64 (.f64 2 (/.f64 c b))))) (fma.f64 -1/8 (.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a)) (log.f64 a)))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 b c) a) (fma.f64 1/24 (pow.f64 (/.f64 (/.f64 b c) a) 3) (log.f64 (.f64 2 (/.f64 c b))))) (fma.f64 -1/8 (.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a)) (log.f64 a)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(*.f64 (/.f64 a (/.f64 b 2)) c)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 b b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 c c) -2) (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -2 (.f64 (.f64 (.f64 (/.f64 c b) (/.f64 c b)) a) a) (.f64 (/.f64 a (/.f64 b 2)) c))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 8/3 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 b b)))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 a a) b)) (.f64 8/3 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (pow.f64 a 3)))))
(fma.f64 2 (.f64 a (/.f64 c b)) (fma.f64 -2 (.f64 (.f64 (.f64 (/.f64 c b) (/.f64 c b)) a) a) (*.f64 (/.f64 8/3 (pow.f64 (/.f64 b c) 3)) (pow.f64 a 3))))
(fma.f64 2 (.f64 a (/.f64 c b)) (fma.f64 -2 (.f64 (.f64 (.f64 (/.f64 c b) (/.f64 c b)) a) a) (/.f64 8/3 (pow.f64 (/.f64 (/.f64 b c) a) 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 8/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 -4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 8/3 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (.f64 b b)) (.f64 -4 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 4))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 8/3 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (pow.f64 a 3)) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 a a) b)) (.f64 -4 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 4)) (pow.f64 a 4))))))
(fma.f64 8/3 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b a) 3)) (fma.f64 2 (.f64 a (/.f64 c b)) (fma.f64 -4 (.f64 (pow.f64 a 4) (/.f64 (pow.f64 c 4) (pow.f64 b 4))) (.f64 -2 (.f64 (.f64 (.f64 (/.f64 c b) (/.f64 c b)) a) a)))))
(fma.f64 8/3 (pow.f64 (.f64 a (/.f64 c b)) 3) (fma.f64 2 (.f64 a (/.f64 c b)) (fma.f64 -2 (.f64 (.f64 (*.f64 (/.f64 c b) (/.f64 c b)) a) a) (/.f64 -4 (/.f64 (pow.f64 (/.f64 b c) 4) (pow.f64 a 4))))))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
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(+.f64 (fma.f64 1/2 (/.f64 (/.f64 b c) a) (fma.f64 -1/8 (.f64 (/.f64 (/.f64 b c) a) (/.f64 (/.f64 b c) a)) (.f64 (pow.f64 (/.f64 b a) 3) (/.f64 1/24 (pow.f64 c 3))))) (-.f64 (log.f64 (*.f64 -2 (/.f64 c b))) (log.f64 (/.f64 -1 a))))
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eval933.0ms (5.5%)

Compiler: Compiled 59038 to 34848 computations (41% saved)

prune240.0ms (1.4%)

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	1254	19	1273
Fresh	13	18	31
Picked	0	1	1
Done	3	4	7
Total	1270	42	1312

Error

1.7b

Counts

1312 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	24.6b	(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (*.f64 b -2))) c))
	35.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
	24.7b	(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 b -2)))
✓	27.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (expm1.f64 (log1p.f64 (.f64 2 (*.f64 (/.f64 c b) a)))))))
	29.8b	(if (>=.f64 b 0) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
	33.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
	26.4b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 -2 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) c)))
	26.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 b))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	37.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))))))
	31.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (.f64 c (.f64 a -4)) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	30.1b	(if (>=.f64 b 0) (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	28.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	48.2b	(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 a (*.f64 2 (/.f64 c b)))))
	28.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (.f64 2 (*.f64 (/.f64 c b) a))) 3) 1/3)))))
✓	24.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (*.f64 c -2) (/.f64 1/2 b)))
	25.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (sqrt.f64 b) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	48.2b	(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 2 (/.f64 (*.f64 c a) b))))
✓	20.8b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	48.1b	(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b a))
	22.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/4) 1/3))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	24.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))))
	40.2b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (/.f64 2 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) c))
	27.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (expm1.f64 (log1p.f64 (.f64 c (/.f64 -1 b)))))
	34.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) (.f64 c a)) (.f64 b b)) (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	32.7b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	26.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
✓	20.9b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	25.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (/.f64 b (.f64 c -1))))
	24.5b	(if (>=.f64 b 0) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
	24.5b	(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (.f64 (/.f64 c b) (+.f64 a a)) (*.f64 b -2))))
	33.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	31.1b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 a) (.f64 (/.f64 b c) (neg.f64 b))) (.f64 (/.f64 b c) (neg.f64 a))) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
	33.9b	(if (>=.f64 b 0) (/.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) a)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	34.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (.f64 (.f64 1/8 (/.f64 (.f64 b b) c)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) a)) (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
✓	25.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	40.0b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))))))))
	38.2b	(if (>=.f64 b 0) (.f64 (/.f64 1/2 a) (-.f64 b (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
	32.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (expm1.f64 (exp.f64 (log.f64 (log1p.f64 (.f64 2 (*.f64 (/.f64 c b) a)))))))))
	32.6b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.f64 (.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	43.3b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
	33.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
	31.5b	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 a 4) (neg.f64 c))) 3))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))

Compiler

Compiled 1560 to 1052 computations (32.6% saved)

regimes730.0ms (4.3%)

Counts

76 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 b -2)))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (/.f64 b (.f64 c -1))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (*.f64 c -2) (/.f64 1/2 b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 a (*.f64 2 (/.f64 c b)))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 2 (/.f64 (*.f64 c a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (.f64 (/.f64 -2 c) (/.f64 (/.f64 b a) -4))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (.f64 (/.f64 c b) (+.f64 a a)) (*.f64 b -2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))))
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(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 a) (.f64 (/.f64 b c) (neg.f64 b))) (.f64 (/.f64 b c) (neg.f64 a))) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
(if (>=.f64 b 0) (.f64 (/.f64 1/2 a) (-.f64 b (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (/.f64 a (/.f64 b c)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 c (/.f64 a b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (.f64 (/.f64 2 (fma.f64 2 (.f64 (/.f64 c b) a) (*.f64 b -2))) c))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (.f64 -1 b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (expm1.f64 (log1p.f64 (.f64 c (/.f64 -1 b)))))
(if (>=.f64 b 0) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 b))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
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(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.f64 (.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (.f64 c (.f64 a -4)) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.f64 c (.f64 a -4)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 2 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) c))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (expm1.f64 (log1p.f64 (.f64 2 (*.f64 (/.f64 c b) a)))))))
(if (>=.f64 b 0) (expm1.f64 (log1p.f64 (.f64 (-.f64 b (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (/.f64 1/2 a)))) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (*.f64 a 2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (expm1.f64 (log1p.f64 (.f64 2 (*.f64 (/.f64 c b) a)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (-.f64 b (hypot.f64 b (.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 a 4) (neg.f64 c))) 3))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 3/2)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (*.f64 a -4))) 1/4) 2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))
(if (>=.f64 b 0) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (/.f64 1 (/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (.f64 b b))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) 3)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (expm1.f64 (exp.f64 (log.f64 (log1p.f64 (.f64 2 (*.f64 (/.f64 c b) a)))))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (.f64 2 (*.f64 (/.f64 c b) a))) 3) 1/3)))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (.f64 (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/4) 1/3))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (pow.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) (.f64 c a)) (.f64 b b)) (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4))) 2)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (.f64 (.f64 1/8 (/.f64 (.f64 b b) c)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2) a)) (+.f64 b (pow.f64 (.f64 (pow.f64 (/.f64 -1 a) -1/4) (pow.f64 (.f64 c 4) 1/4)) 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) 2) (cbrt.f64 (/.f64 (.f64 c -2) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))
(if (>=.f64 b 0) (/.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) a)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))

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

Calls

4 calls:

262.0ms	a
152.0ms	c
134.0ms	(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
117.0ms	b

Results

Error	Segments	Branch
12.5b	7	`a`
7.2b	3	`b`
17.8b	3	`c`
7.1b	5	`(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))`

Compiler

Compiled 2648 to 1522 computations (42.5% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.1130075846498884e+227	5.484708649043825e+247
0.0ms	-0.0	5e-324
0.0ms	-3.8516068419343285e-233	-2.3483268161627195e-234
0.0ms	-inf	-2.52004855905922e+282

Compiler

Compiled 47 to 31 computations (34% saved)

regimes188.0ms (1.1%)

Counts

30 → 4

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	c
54.0ms	a
51.0ms	b

Results

Error	Segments	Branch
17.5b	4	`a`
7.2b	4	`b`
16.8b	5	`c`

Compiler

Compiled 804 to 419 computations (47.9% saved)

bsearch208.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
69.0ms	4.461115266798515e+122	2.432766150288385e+126
101.0ms	1.83917698976421e-299	4.577845633530813e-288
37.0ms	-3.557171848617763e+155	-1.0762284939211552e+146

Compiler

Compiled 1057 to 713 computations (32.5% saved)

regimes159.0ms (0.9%)

Counts

27 → 4

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	c
47.0ms	b
36.0ms	a

Results

Error	Segments	Branch
22.8b	3	`a`
7.2b	4	`b`
21.8b	5	`c`

Compiler

Compiled 709 to 366 computations (48.4% saved)

bsearch196.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
69.0ms	4.461115266798515e+122	2.432766150288385e+126
90.0ms	-1.1452538494791202e-306	8.678503443349553e-306
37.0ms	-3.557171848617763e+155	-1.0762284939211552e+146

Compiler

Compiled 1059 to 708 computations (33.1% saved)

regimes130.0ms (0.8%)

Counts

26 → 4

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	b
35.0ms	c
35.0ms	a

Results

Error	Segments	Branch
23.4b	3	`a`
9.6b	4	`b`
23.3b	3	`c`

Compiler

Compiled 673 to 348 computations (48.3% saved)

bsearch325.0ms (1.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
69.0ms	4.461115266798515e+122	2.432766150288385e+126
102.0ms	1.83917698976421e-299	4.577845633530813e-288
153.0ms	-0.00010272182204893423	-2.9721382696533573e-6

Compiler

Compiled 1430 to 959 computations (32.9% saved)

regimes84.0ms (0.5%)

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

33.0ms	a
23.0ms	b
13.0ms	c

Results

Error	Segments	Branch
23.4b	3	`a`
19.1b	2	`b`
24.4b	1	`c`

Compiler

Compiled 649 to 335 computations (48.4% saved)

bsearch152.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
152.0ms	-0.00010272182204893423	-2.9721382696533573e-6

Compiler

Compiled 460 to 297 computations (35.4% saved)

regimes31.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	a
8.0ms	c
7.0ms	b

Results

Error	Segments	Branch
24.4b	1	`a`
24.4b	1	`b`
24.4b	1	`c`

Compiler

Compiled 293 to 153 computations (47.8% saved)

regimes28.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	b
7.0ms	a
7.0ms	c

Results

Error	Segments	Branch
24.5b	1	`a`
24.5b	1	`b`
24.5b	1	`c`

Compiler

Compiled 265 to 139 computations (47.5% saved)

regimes24.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 b -2)))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (/.f64 b (.f64 c -1))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (*.f64 c -2) (/.f64 1/2 b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 a (*.f64 2 (/.f64 c b)))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 2 (/.f64 (*.f64 c a) b))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (/.f64 (.f64 c (.f64 a -2)) b)))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (.f64 c -2) (.f64 (/.f64 -2 c) (/.f64 (/.f64 b a) -4))))

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

Calls

3 calls:

7.0ms	c
6.0ms	a
6.0ms	b

Results

Error	Segments	Branch
24.6b	1	`a`
24.6b	1	`b`
24.6b	1	`c`

Compiler

Compiled 212 to 114 computations (46.2% saved)

regimes15.0ms (0.1%)

Accuracy

Total -23.6b remaining (-95.5%)

Threshold costs -23.6b (-95.5%)

Counts

4 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 b -2)))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 b a))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (/.f64 b (.f64 c -1))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (.f64 (*.f64 c -2) (/.f64 1/2 b)))

Outputs
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 b -2)))

Calls

3 calls:

5.0ms	c
4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
24.7b	1	`a`
24.7b	1	`b`
24.7b	1	`c`

Compiler

Compiled 85 to 50 computations (41.2% saved)

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

25×	`+-commutative_binary64`
24×	`*-commutative_binary64`
20×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	1196
1	127	1171
2	164	1171
3	196	1171
4	216	1171
5	227	1171
6	230	1171

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (/.f64 b (.f64 c -1)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -8949657474523425/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 400000000000000037133388148809279638756139380980203084393805552507693712327878319680118564836353050171772507239291094790988904551404305883878190343549492832543695854019945101883628101168960135848151793120696150020632321877606400) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))))))
(if (<=.f64 b -355717184861776300341964481181784732762969845635953054961038635753734780475613996846384054631588954888879031219935427743759572307973980509949355859394953216) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (.f64 (/.f64 c b) (+.f64 a a)) (.f64 b -2)))) (if (<=.f64 b 1542972394348225/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 b 449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a)) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 b -2))))))
(if (<=.f64 b -355717184861776300341964481181784732762969845635953054961038635753734780475613996846384054631588954888879031219935427743759572307973980509949355859394953216) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (.f64 (/.f64 c b) (+.f64 a a)) (.f64 b -2)))) (if (<=.f64 b 3360193658422149/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b)) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 b 449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a)) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (*.f64 b -2))))))
(if (<=.f64 b -1770887431076117/590295810358705651712) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (.f64 (/.f64 c b) (+.f64 a a)) (.f64 b -2)))) (if (<=.f64 b 1542972394348225/342882754299605542703496015699200579379649539745770754382000124278512336359979559197823481221022674600830295333617006984059886491421540493951506482390354393725906168794375391533474387361995876540094533828897487199474622120556760561893297406274466013266278287285969349365133754612883980378790581378220032) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))))) (if (<=.f64 b 449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 b a)) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (*.f64 b -2))))))
(if (<=.f64 b -1770887431076117/590295810358705651712) (if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (.f64 (/.f64 c b) (+.f64 a a)) (.f64 b -2)))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (*.f64 a -4)))))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (.f64 a 2)) b))))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (+.f64 (.f64 (/.f64 c b) (+.f64 a a)) (*.f64 b -2))))
(if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (*.f64 b -2)))
(if (>=.f64 b 0) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 2 c) (.f64 b -2)))

Outputs
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -inf.0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 1 (/.f64 b (.f64 c -1)))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) -8949657474523425/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 0) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 2))))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) 400000000000000037133388148809279638756139380980203084393805552507693712327878319680118564836353050171772507239291094790988904551404305883878190343549492832543695854019945101883628101168960135848151793120696150020632321877606400) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (if (>=.f64 b 0) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a)) (/.f64 (.f64 2 c) (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 c b) (*.f64 a 2)) b))))))))
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Compiler

Compiled 812 to 486 computations (40.1% saved)

soundness155.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

721×	`times-frac_binary64`
721×	`times-frac_binary64`
708×	`fma-def_binary64`
708×	`fma-def_binary64`
687×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1481	2157
0	133	2386
1	422	2292
2	1481	2157

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 169 to 117 computations (30.8% saved)

end254.0ms (1.5%)

Compiler: Compiled 788 to 423 computations (46.3% saved)