Details

analyze828.0ms (9.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
20.3%	73.3%	6.4%	7
27.3%	66.3%	6.4%	8
38.2%	53%	8.7%	9
46%	40.6%	13.4%	10
49.9%	35.1%	15%	11
54.9%	26.9%	18.1%	12
57.4%	22%	20.6%	13
59.7%	18%	22.4%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.8s (20.4%)

Results

1.6s	8256×	body	128	valid
197.0ms	1074×	body	128	invalid

Compiler

Compiled 84 to 54 computations (35.7% saved)

preprocess39.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

676×	`fma-def_binary64`
491×	`associate-/l*_binary64`
481×	`div-sub_binary64`
383×	`fma-neg_binary64`
239×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	131	208
2	321	208
3	700	200
4	1318	200
5	2435	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 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)))
(if (>=.f64 c 0) (/.f64 (.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)))

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

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

prune8.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

20.8b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	20.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (/.f64 a -1/4) (.f64 b b)))) (/.f64 -1/2 a)))

Status

Error

Program

▶

20.8b

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

20.9b

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

Compiler

Compiled 231 to 143 computations (38.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
✓	0.4b	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
✓	2.0b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series260.0ms (3%)

Counts

4 → 80

Calls

36 calls:

Time	Variable		Point	Expression
28.0ms	c	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
27.0ms	c	@	-inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
27.0ms	a	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
27.0ms	a	@	-inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
16.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

211×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`
205×	`pow1_binary64`
197×	`add-exp-log_binary64`
197×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	87
1	415	81

Stop Event

1×	node limit

Counts

4 → 129

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

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

593×	`associate-/l*_binary64`
532×	`associate-/r*_binary64`
470×	`fma-def_binary64`
186×	`cancel-sign-sub-inv_binary64`
165×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2398
1	465	2355
2	1618	2240

Stop Event

1×	node limit

Counts

209 → 207

Calls

Call 1

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

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

prune351.0ms (4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	243	10	253
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	245	10	255

Error

7.6b

Counts

255 → 10

Alt Table

Status	Error	Program
	32.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))) 3))
	21.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	32.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) 2)))
	22.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 (.f64 (/.f64 c b) a) -2 b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	30.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (*.f64 2 a)))
▶	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) 1/4) 2)) (.f64 2 a)))
	23.1b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	31.2b	(if (>=.f64 b 0) (pow.f64 (cbrt.f64 (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) 3) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	31.1b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Compiler

Compiled 12827 to 7404 computations (42.3% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2)
✓	9.0b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2))
	23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	24.1b	(pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series138.0ms (1.6%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
11.0ms	b	@	0	(pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4)
8.0ms	a	@	-inf	(pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4)
7.0ms	b	@	0	(pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2)
7.0ms	a	@	0	(pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2)
7.0ms	a	@	inf	(pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`
168×	`add-sqr-sqrt_binary64`
162×	`add-log-exp_binary64`
162×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	348	43
2	4510	43

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Inputs

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

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

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/8) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/4) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 2)) 1/4) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 1/4) (pow.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/4 (log.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4)) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) 1 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (cbrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))))))) 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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/8) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/8) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/8)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))) (sqrt.f64 (+.f64 (pow.f64 b 4) (*.f64 (*.f64 4 (*.f64 a c)) (fma.f64 b b (*.f64 4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 a c) 2) 16))) (sqrt.f64 (fma.f64 b b (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) 1))))))

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

301×	`times-frac_binary64`
272×	`associate-/r*_binary64`
236×	`fma-neg_binary64`
233×	`associate-/l*_binary64`
231×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	319	4408
1	1112	4306
2	4569	4306

Stop Event

1×	node limit

Counts

175 → 217

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(-.f64 (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 3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (+.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 3/512 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(sqrt.f64 (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 -1 b)) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (.f64 -1 b)) (pow.f64 a 2))) (pow.f64 b 4))) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)) (.f64 7/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 6))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
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(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
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(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
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(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
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(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))
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(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))
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(.f64 -1 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(neg.f64 (+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))
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(*.f64 -2 b)
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(.f64 -2 (/.f64 (.f64 c a) b))
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(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
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(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
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(sqrt.f64 (.f64 -4 (.f64 c a)))
(-.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 -4 (*.f64 c a))) (pow.f64 b 2))))
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b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
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(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
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(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2) (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (*.f64 c a))))
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(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)
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(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/1024 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2)
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(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 c a))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 c a)))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 c a))) (.f64 1/1024 (/.f64 (.f64 (pow.f64 b 6) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))

Outputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(pow.f64 (.f64 a (.f64 -4 c)) 1/4)
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 (.f64 1/16 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)) (.f64 b b)))
(+.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) -1/16))
(+.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) (.f64 (.f64 -1/16 (.f64 b b)) (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)))
(-.f64 (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 3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)))))
(-.f64 (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)) (.f64 (*.f64 3/512 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4)) (pow.f64 b 4))))
(-.f64 (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)) (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (.f64 (pow.f64 b 4) 3/512))))
(-.f64 (pow.f64 (.f64 a (.f64 -4 c)) 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)) (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (*.f64 (pow.f64 b 4) 3/512))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (+.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 3/512 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (fma.f64 7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (fma.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (.f64 (.f64 3/512 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4)) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (fma.f64 (.f64 7/8192 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4)) (pow.f64 b 6) (fma.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (.f64 (pow.f64 b 4) 3/512)))))
(-.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) (fma.f64 7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (fma.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (.f64 (pow.f64 b 4) 3/512)))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c 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 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (fma.f64 3/2 (.f64 (.f64 c c) (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 3/2 (.f64 (.f64 a (.f64 a (.f64 c c))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))))))
(-.f64 (sqrt.f64 b) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 3/2 (.f64 c c)) (.f64 a a)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 7/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (fma.f64 3/2 (.f64 (.f64 c c) (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(-.f64 (sqrt.f64 b) (fma.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 3/2 (.f64 (.f64 a (.f64 a (.f64 c c))) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))))))
(-.f64 (sqrt.f64 b) (fma.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 3/2 (.f64 c c)) (.f64 a a))))))
(sqrt.f64 (*.f64 -1 b))
(sqrt.f64 (neg.f64 b))
(-.f64 (sqrt.f64 (.f64 -1 b)) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)))
(-.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (.f64 b b) (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 b)) (.f64 (.f64 (/.f64 c b) a) (/.f64 (sqrt.f64 (neg.f64 b)) b)))
(-.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (sqrt.f64 (neg.f64 b)) (*.f64 (/.f64 b a) (/.f64 b c))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (.f64 -1 b)) (pow.f64 a 2))) (pow.f64 b 4))) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 3/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 4) (.f64 (.f64 a a) (sqrt.f64 (neg.f64 b))))) (/.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (.f64 b b) (*.f64 c a)))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 3/2 (.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 b 4)) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 (/.f64 c b) a) (/.f64 (sqrt.f64 (neg.f64 b)) b))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 3/2 (.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 b 4)) (.f64 a (.f64 a (.f64 c c)))) (/.f64 (sqrt.f64 (neg.f64 b)) (*.f64 (/.f64 b a) (/.f64 b c)))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)) (.f64 7/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 6))))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 3/2 (/.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a)))) (+.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (/.f64 (.f64 b b) (.f64 c a))) (/.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (neg.f64 b)))) (pow.f64 b 6)))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 3/2 (.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 b 4)) (.f64 a (.f64 a (.f64 c c)))) (fma.f64 7/2 (.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (.f64 (/.f64 c b) a) (/.f64 (sqrt.f64 (neg.f64 b)) b)))))
(-.f64 (sqrt.f64 (neg.f64 b)) (fma.f64 3/2 (.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 b 4)) (.f64 a (.f64 a (.f64 c c)))) (fma.f64 7/2 (.f64 (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (/.f64 (sqrt.f64 (neg.f64 b)) (*.f64 (/.f64 b a) (/.f64 b c))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c 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 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (fma.f64 3/2 (.f64 (.f64 c c) (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 3/2 (.f64 (.f64 a (.f64 a (.f64 c c))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))))))
(-.f64 (sqrt.f64 b) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 3/2 (.f64 c c)) (.f64 a a)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 7/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (fma.f64 3/2 (.f64 (.f64 c c) (.f64 (.f64 a a) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(-.f64 (sqrt.f64 b) (fma.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 3/2 (.f64 (.f64 a (.f64 a (.f64 c c))) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))))))
(-.f64 (sqrt.f64 b) (fma.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 (.f64 3/2 (.f64 c c)) (.f64 a a))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 -4 c)) (neg.f64 (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 -4 c)) (neg.f64 (log.f64 a)))) a))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (.f64 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) a)) -1/16))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (.f64 (.f64 (.f64 (/.f64 b a) (/.f64 b c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) -1/16))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (fma.f64 1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) a)) (/.f64 (.f64 3/512 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))))) (.f64 (.f64 c c) (.f64 a a)))))
(-.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (fma.f64 1/16 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) a)) (/.f64 (.f64 (.f64 3/512 (pow.f64 b 4)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) (.f64 a (.f64 a (*.f64 c c))))))
(-.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (fma.f64 1/16 (.f64 (.f64 (/.f64 b a) (/.f64 b c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) (.f64 (.f64 3/512 (/.f64 (pow.f64 b 4) (.f64 c c))) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (*.f64 a a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(-.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (fma.f64 7/8192 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (pow.f64 a 3))) (fma.f64 1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) a)) (/.f64 (.f64 3/512 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))))) (.f64 (.f64 c c) (.f64 a a))))))
(-.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (fma.f64 7/8192 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (pow.f64 a 3))) (fma.f64 1/16 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) a)) (/.f64 (.f64 (.f64 3/512 (pow.f64 b 4)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) (.f64 a (.f64 a (*.f64 c c)))))))
(-.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (fma.f64 7/8192 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (pow.f64 a 3))) (fma.f64 1/16 (.f64 (.f64 (/.f64 b a) (/.f64 b c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) (.f64 (.f64 3/512 (/.f64 (pow.f64 b 4) (.f64 c c))) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) (*.f64 a a))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a))))
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(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)
(pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 c a))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (.f64 -1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) a))))
(+.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (.f64 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) a)) -1/8))
(+.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (.f64 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))) c)) -1/8))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 c a)))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (fma.f64 1/128 (/.f64 (pow.f64 b 4) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (.f64 1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) a)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) a)) (.f64 1/128 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (*.f64 a a))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) c)) (.f64 (/.f64 1/128 (.f64 c c)) (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))))) (.f64 a a)))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 c a))) (.f64 1/1024 (/.f64 (.f64 (pow.f64 b 6) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (fma.f64 1/128 (/.f64 (pow.f64 b 4) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (fma.f64 1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) a)) (.f64 1/1024 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (pow.f64 a 3)))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (fma.f64 1/128 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (.f64 a a))) (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) a)) (.f64 1/1024 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (pow.f64 c 3)))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (fma.f64 1/128 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (.f64 a a))) (fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) c)) (.f64 1/1024 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))) (pow.f64 c 3)))))))

prune496.0ms (5.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	259	4	263
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	260	13	273

Error

4.8b

Counts

273 → 13

Alt Table

Status	Error	Program
	35.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	32.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))) 3))
	21.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	35.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) (.f64 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) a)) -1/8)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	32.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) 2)))
	37.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	30.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (*.f64 2 a)))
	34.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
▶	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) 1/4) 2)) (.f64 2 a)))
	23.1b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	31.2b	(if (>=.f64 b 0) (pow.f64 (cbrt.f64 (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) 3) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	31.1b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Compiler

Compiled 15987 to 10035 computations (37.2% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.0b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	9.0b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2))
	23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
	24.1b	(pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series40.0ms (0.5%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2))
7.0ms	b	@	-inf	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2))
5.0ms	a	@	-inf	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2))
5.0ms	c	@	inf	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2))
5.0ms	a	@	inf	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))) 1/4) 2))

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

259×	`expm1-udef_binary64`
259×	`log1p-udef_binary64`
167×	`add-sqr-sqrt_binary64`
161×	`add-log-exp_binary64`
161×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	347	16
2	4511	16

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-neg_binary64`
408×	`times-frac_binary64`
250×	`associate-/l*_binary64`
243×	`associate-r_binary64`
223×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	684
1	215	668
2	728	638
3	4143	638

Stop Event

1×	node limit

Counts

59 → 63

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))

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

prune436.0ms (4.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	241	4	245
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	245	13	258

Error

1.4b

Counts

258 → 13

Alt Table

Status	Error	Program
▶	21.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4)) 2)) (*.f64 2 a)))
	34.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (.f64 2 (-.f64 (.f64 a (/.f64 c b)) b)) (*.f64 2 a)))
	23.1b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	35.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) (.f64 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) a)) -1/8)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	32.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) 2)))
	37.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	34.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 2 a)))
	35.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	35.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) (*.f64 2 a)))
	31.2b	(if (>=.f64 b 0) (pow.f64 (cbrt.f64 (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) 3) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	31.1b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Compiler

Compiled 14436 to 8804 computations (39% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	9.0b	(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4)) 2))
✓	10.6b	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4)
✓	13.2b	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4))
	23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series114.0ms (1.3%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4))
6.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4)
6.0ms	b	@	-inf	(pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4)
5.0ms	b	@	0	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4))
5.0ms	c	@	-inf	(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4)) 2))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`prod-diff_binary64`
158×	`add-sqr-sqrt_binary64`
149×	`add-log-exp_binary64`
149×	`pow1_binary64`
149×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	322	47
2	3913	47

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/4)

(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/4)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/8) 1/3) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/8) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (log.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/8) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/4) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 2) 3/4) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 3/4) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)))) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2)) (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))) (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/4 (log.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (log.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) 1))))))

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

291×	`times-frac_binary64`
289×	`associate-r_binary64`
287×	`associate-/r*_binary64`
231×	`associate-/l*_binary64`
213×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	368	4671
1	1255	4573

Stop Event

1×	node limit

Counts

175 → 217

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(-.f64 (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 3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (+.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 3/512 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(sqrt.f64 (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 -1 b)) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (.f64 -1 b)) (pow.f64 a 2))) (pow.f64 b 4))) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)) (.f64 7/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 6))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a))) (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))))
(pow.f64 (.f64 -64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)
(-.f64 (pow.f64 (.f64 -64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 3/16 (.f64 (pow.f64 (/.f64 -64 (*.f64 c a)) 1/4) (pow.f64 b 2))))
(-.f64 (pow.f64 (.f64 -64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (+.f64 (.f64 3/16 (.f64 (pow.f64 (/.f64 -64 (.f64 c a)) 1/4) (pow.f64 b 2))) (.f64 3/512 (.f64 (pow.f64 (/.f64 -64 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/4) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 -64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (+.f64 (.f64 5/8192 (.f64 (pow.f64 (/.f64 -64 (.f64 (pow.f64 c 9) (pow.f64 a 9))) 1/4) (pow.f64 b 6))) (+.f64 (.f64 3/16 (.f64 (pow.f64 (/.f64 -64 (.f64 c a)) 1/4) (pow.f64 b 2))) (.f64 3/512 (.f64 (pow.f64 (/.f64 -64 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/4) (pow.f64 b 4))))))
(sqrt.f64 (pow.f64 b 3))
(-.f64 (sqrt.f64 (pow.f64 b 3)) (.f64 3 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 b)))))
(-.f64 (sqrt.f64 (pow.f64 b 3)) (+.f64 (.f64 3 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 b)))) (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 5)))))))
(-.f64 (sqrt.f64 (pow.f64 b 3)) (+.f64 (.f64 3 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 5/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 9))))) (.f64 3/2 (.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))))))
(sqrt.f64 (*.f64 -1 (pow.f64 b 3)))
(-.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 3))) (.f64 3 (/.f64 (.f64 c (.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 3))) a)) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (.f64 c (.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 3))) a)) (pow.f64 b 2))) (.f64 3/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 3))) (pow.f64 a 2))) (pow.f64 b 4)))))
(-.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 3))) (+.f64 (.f64 3 (/.f64 (.f64 c (.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 3))) a)) (pow.f64 b 2))) (+.f64 (.f64 5/2 (/.f64 (.f64 (pow.f64 c 3) (.f64 (sqrt.f64 (.f64 -1 (pow.f64 b 3))) (pow.f64 a 3))) (pow.f64 b 6))) (.f64 3/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (*.f64 -1 (pow.f64 b 3))) (pow.f64 a 2))) (pow.f64 b 4))))))
(sqrt.f64 (pow.f64 b 3))
(-.f64 (sqrt.f64 (pow.f64 b 3)) (.f64 3 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 b)))))
(-.f64 (sqrt.f64 (pow.f64 b 3)) (+.f64 (.f64 3 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 b)))) (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 5)))))))
(-.f64 (sqrt.f64 (pow.f64 b 3)) (+.f64 (.f64 3 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 5/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 9))))) (.f64 3/2 (.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))))))
(exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (.f64 3/16 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 3/16 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 3/16 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 5/8192 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (.f64 3/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 3/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 5/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 3/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))) (*.f64 c a))))))
(sqrt.f64 (pow.f64 b 3))
(-.f64 (sqrt.f64 (pow.f64 b 3)) (.f64 3 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 b)))))
(-.f64 (sqrt.f64 (pow.f64 b 3)) (+.f64 (.f64 3 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 b)))) (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 5)))))))
(-.f64 (sqrt.f64 (pow.f64 b 3)) (+.f64 (.f64 3 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 b)))) (+.f64 (.f64 5/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 9))))) (.f64 3/2 (.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))))))
(exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (.f64 3/16 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))) (.f64 c a))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 5/8192 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (.f64 3/16 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 3/16 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 3/16 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 5/8192 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))

Outputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(pow.f64 (.f64 a (.f64 -4 c)) 1/4)
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(+.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b))))
(+.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) (.f64 (.f64 -1/16 (.f64 b b)) (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)))
(-.f64 (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 3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)))))
(-.f64 (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)) (.f64 3/512 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 a (.f64 -4 c)) 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)) (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (*.f64 (pow.f64 b 4) 3/512))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (+.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 3/512 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (fma.f64 7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (fma.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (.f64 3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4))))))
(-.f64 (pow.f64 (.f64 a (.f64 -4 c)) 1/4) (fma.f64 7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (fma.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (.f64 (pow.f64 b 4) 3/512)))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c 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 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (fma.f64 3/2 (.f64 (.f64 (.f64 c c) (.f64 a a)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 3/2 (.f64 c (.f64 c (.f64 a a)))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (fma.f64 3/2 (.f64 (.f64 (.f64 c c) (.f64 a a)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (fma.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (fma.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (.f64 3/2 (.f64 c (.f64 c (.f64 a a))))))))
(sqrt.f64 (*.f64 -1 b))
(sqrt.f64 (neg.f64 b))
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(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (sqrt.f64 (.f64 -4 (*.f64 c a)))) b)
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (sqrt.f64 (.f64 a (.f64 -4 c)))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 -4 (.f64 c a)))) (sqrt.f64 (.f64 -4 (.f64 c a)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 3)) b))
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) b)) (sqrt.f64 (.f64 a (.f64 -4 c)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 a (.f64 -4 c))) 3)) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 c -2) (/.f64 b a))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(-.f64 (.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))))) (/.f64 (.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5)))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 10 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))))
(-.f64 (.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))))) (fma.f64 10 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)) (/.f64 (.f64 (*.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5))))
(*.f64 -2 b)
(*.f64 b -2)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(*.f64 2 (-.f64 (/.f64 c (/.f64 b a)) b))
(.f64 2 (-.f64 (.f64 (/.f64 c b) a) b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.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 (/.f64 b a)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))))) (.f64 b -2))
(.f64 2 (-.f64 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c)))) b))
(-.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(+.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (.f64 b -2))
(+.f64 (fma.f64 2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))) (/.f64 (.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5))) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 c -2) (/.f64 b a))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(-.f64 (.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))))) (/.f64 (.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5)))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 10 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))))
(-.f64 (.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))))) (fma.f64 10 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)) (/.f64 (.f64 (*.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 c -2) (/.f64 b a))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c)))))
(neg.f64 (+.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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(-.f64 (.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))))) (/.f64 (.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5)))
(neg.f64 (+.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 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 10 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))))
(-.f64 (.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 (.f64 a a) (/.f64 (pow.f64 b 3) (.f64 c c))))) (fma.f64 10 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)) (/.f64 (.f64 (*.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5))))

prune546.0ms (6.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	259	4	263
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	259	17	276

Error

1.4b

Counts

276 → 17

Alt Table

Status	Error	Program
✓	21.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/4)) 2)) (*.f64 2 a)))
	34.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	34.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 2 a)))
✓	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (.f64 2 (-.f64 (.f64 a (/.f64 c b)) b)) (*.f64 2 a)))
	23.1b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	35.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) (.f64 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a))) 2) a)) -1/8)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	32.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) 2)))
	35.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (exp.f64 (.f64 3/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 2 a)))
	35.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) (*.f64 2 a)))
	34.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)) (.f64 2 a)))
	31.1b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) c))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	37.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	34.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 2 a)))
	36.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)) (.f64 2 a)))
	35.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 1/4) (.f64 2 (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	31.2b	(if (>=.f64 b 0) (pow.f64 (cbrt.f64 (.f64 2 (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))) 3) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Compiler

Compiled 15977 to 10375 computations (35.1% saved)

regimes2.5s (28.5%)

Accuracy

Total 6.3b remaining (89.1%)

Threshold costs 0b (0%)

Counts

163 → 5

Compiler

Compiled 31810 to 21806 computations (31.4% saved)

bsearch4.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
0.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Steps

Iters	Point		Range
1e+240	∈ [	8.631821476452576e+239	,	1.4323799104018725e+252	]
-0.0	∈ [	-0.0	,	5.7494223497745404e-297	]
-1e-215	∈ [	-1.9427539641982445e-215	,	-2.3437742980631798e-216	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-5.038390071489262e+225	]

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
24×	`*-commutative_binary64`
20×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	516
1	79	498
2	118	496
3	162	496
4	190	496
5	204	496
6	208	496
7	209	496

Stop Event

1×

saturated

Calls

Call 1

Inputs

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Outputs
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end619.0ms (7%)

Stop Event

1×

fuel

Compiler

Compiled 1426 to 934 computations (34.5% saved)

Details

analyze828.0ms (9.4%)

sample1.8s (20.4%)

preprocess39.0ms (0.4%)

simplify31.0ms (0.4%)

prune8.0ms (0.1%)

localize18.0ms (0.2%)

series260.0ms (3%)

rewrite58.0ms (0.7%)

simplify51.0ms (0.6%)

prune351.0ms (4%)

localize26.0ms (0.3%)

series138.0ms (1.6%)

rewrite63.0ms (0.7%)

simplify84.0ms (0.9%)

prune496.0ms (5.6%)

localize30.0ms (0.3%)

series40.0ms (0.5%)

rewrite53.0ms (0.6%)

simplify36.0ms (0.4%)

prune436.0ms (4.9%)

localize29.0ms (0.3%)

series114.0ms (1.3%)

rewrite60.0ms (0.7%)

simplify62.0ms (0.7%)

prune546.0ms (6.2%)

regimes2.5s (28.5%)

bsearch4.0ms (0%)

simplify16.0ms (0.2%)

end619.0ms (7%)

Profiling