Details

analyze1.3s (14.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
7.8%	85.8%	6.4%	7
10.1%	83.5%	6.4%	8
16.8%	74.5%	8.7%	9
29.1%	57.5%	13.4%	10
33.6%	51.4%	15%	11
39.2%	42.7%	18.1%	12
46%	33.4%	20.6%	13
49.5%	28.2%	22.4%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.8s (20.3%)

Results

1.5s	8256×	body	128	valid
197.0ms	1090×	body	128	invalid

preprocess36.0ms (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)

simplify32.0ms (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)))

eval2.0ms (0%)

Compiler: Compiled 75 to 45 computations (40% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

19.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.9b	(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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	20.0b	(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

▶

19.9b

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

20.0b

(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 156 to 98 computations (37.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
✓	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	2.8b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series36.0ms (0.4%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
4.0ms	c	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	a	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	b	@	0	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`log1p-udef_binary64`
174×	`add-sqr-sqrt_binary64`
168×	`*-un-lft-identity_binary64`
168×	`pow1_binary64`
163×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	343	62
2	4937	62

Stop Event

1×	node limit

Counts

4 → 163

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 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)))))

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-/r*_binary64`
679×	`associate-/l*_binary64`
229×	`fma-def_binary64`
156×	`associate-r_binary64`
128×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2344
1	607	2217
2	2326	2168

Stop Event

1×	node limit

Counts

259 → 243

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

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

eval233.0ms (2.7%)

Compiler: Compiled 16746 to 10008 computations (40.2% saved)

prune1.7s (19.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	342	9	351
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	344	9	353

Error

4.7b

Counts

353 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (*.f64 2 a)))
▶	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a)))
	21.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	33.3b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 c 2) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4))))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	20.0b	(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 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (*.f64 2 a)))
	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) (neg.f64 b)) (*.f64 2 a)))
	21.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	24.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 830 to 540 computations (34.9% saved)

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	11.8b	(cbrt.f64 (.f64 4 (.f64 a c)))
	22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	22.3b	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))
✓	52.3b	(fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series48.0ms (0.6%)

Counts

3 → 26

Calls

21 calls:

Time	Variable		Point	Expression
26.0ms	c	@	-inf	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))
4.0ms	b	@	0	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))
2.0ms	a	@	-inf	(fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))
2.0ms	a	@	0	(fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))
1.0ms	a	@	inf	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

275×	`log1p-udef_binary64`
183×	`add-sqr-sqrt_binary64`
175×	`pow1_binary64`
174×	`*-un-lft-identity_binary64`
170×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	88
1	378	56
2	4633	56

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))
(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))
(cbrt.f64 (.f64 4 (.f64 a c)))

Inputs

(fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (*.f64 a c)))) (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 2) (*.f64 4 (*.f64 a c)))

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

(cbrt.f64 (*.f64 4 (*.f64 a c)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))) 2) (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))) (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 c (.f64 4 a)) 3) (pow.f64 (.f64 c (.f64 4 a)) 3)) (+.f64 (.f64 (pow.f64 (.f64 a c) 2) 16) (-.f64 (.f64 (pow.f64 (.f64 a c) 2) 16) (.f64 (pow.f64 (.f64 a c) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (.f64 a c) 2) 16) (.f64 (pow.f64 (.f64 a c) 2) 16)) (-.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))))) (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))) 1/4) (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 3) (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))) 3))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 2) (.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))) (-.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))) (fma.f64 b b (.f64 c (.f64 4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 4 a))) 2) (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))) 2))) (sqrt.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 4 a))) (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (.f64 4 a))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 4 a)))) (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (.f64 c (.f64 4 a)) (+.f64 (.f64 c (.f64 4 a)) (fma.f64 b b (.f64 c (*.f64 4 a))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cbrt.f64 (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 c (.f64 4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 c (.f64 4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 c (.f64 4 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a -4)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a c)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a c)) (cbrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 4) (cbrt.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 4) (neg.f64 (cbrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))) 2) (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 c) (cbrt.f64 (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c (.f64 4 a)) 1/6) (pow.f64 (.f64 c (.f64 4 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c (.f64 4 a)) 1/6) (neg.f64 (pow.f64 (.f64 c (.f64 4 a)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (cbrt.f64 (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 c (.f64 4 a))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 c (.f64 4 a))) 1/3) (pow.f64 (sqrt.f64 (.f64 c (.f64 4 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 4 a) 1/3) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 4)) (cbrt.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (.f64 c (.f64 4 a)) 1/6)) (pow.f64 (.f64 c (.f64 4 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (cbrt.f64 4)) (cbrt.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (pow.f64 (.f64 c (.f64 4 a)) 1/6)) (pow.f64 (.f64 c (.f64 4 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (.f64 c (.f64 4 a))) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (.f64 c (.f64 4 a))) 2) (.f64 0 (cbrt.f64 (.f64 c (.f64 4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (cbrt.f64 (.f64 c (.f64 4 a))) 2)) (cbrt.f64 (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (.f64 4 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 c (.f64 4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 c (.f64 4 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 c (.f64 4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (.f64 4 a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 c (.f64 4 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 c (.f64 4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 c (.f64 4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 c (.f64 4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c (.f64 4 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 c (.f64 4 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 c (.f64 4 a)))))))))

Outputs

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

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

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

409×	`associate-r_binary64`
399×	`fma-def_binary64`
331×	`times-frac_binary64`
306×	`associate-l_binary64`
255×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	527
1	330	469
2	1163	424
3	4896	424

Stop Event

1×	node limit

Counts

120 → 125

Calls

Call 1

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

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

eval215.0ms (2.5%)

Compiler: Compiled 13588 to 8286 computations (39% saved)

prune748.0ms (8.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	219	9	228

Error

4.7b

Counts

228 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a)))
	21.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
▶	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a)))
	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) (neg.f64 b)) (*.f64 2 a)))
	33.3b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 c 2) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4))))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	20.0b	(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 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (*.f64 2 a)))
	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	21.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	24.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 770 to 504 computations (34.5% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.8b	(cbrt.f64 (.f64 4 (.f64 a c)))
	22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	22.3b	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))
✓	52.4b	(fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series11.0ms (0.1%)

Counts

2 → 26

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	c	@	-inf	(fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))
1.0ms	a	@	0	(fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))
1.0ms	c	@	-inf	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))
0.0ms	a	@	-inf	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))
0.0ms	b	@	0	(sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))

rewrite35.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

209×	`add-sqr-sqrt_binary64`
201×	`pow1_binary64`
200×	`*-un-lft-identity_binary64`
194×	`add-cbrt-cube_binary64`
193×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	459	47

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs

(fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 2) (*.f64 4 (*.f64 a c)))

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

Outputs

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

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

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

409×	`associate-r_binary64`
399×	`fma-def_binary64`
331×	`times-frac_binary64`
306×	`associate-l_binary64`
255×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	527
1	330	469
2	1163	424
3	4896	424

Stop Event

1×	node limit

Counts

73 → 78

Calls

Call 1

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

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

eval156.0ms (1.8%)

Compiler: Compiled 10690 to 6406 computations (40.1% saved)

prune397.0ms (4.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	172	9	181

Error

4.7b

Counts

181 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a)))
	21.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
✓	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a)))
	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) (neg.f64 b)) (*.f64 2 a)))
	33.3b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 c 2) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4))))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	20.0b	(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 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (*.f64 2 a)))
▶	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	21.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	24.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 707 to 462 computations (34.7% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.2b	(-.f64 (neg.f64 b) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))))
	22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	22.3b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	22.9b	(cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series21.0ms (0.2%)

Counts

3 → 52

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
3.0ms	c	@	0	(cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
2.0ms	b	@	-inf	(cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
1.0ms	a	@	0	(cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

305×	`fma-def_binary64`
219×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`
156×	`fma-neg_binary64`
148×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	295	40
2	3800	40

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs

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

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

(-.f64 (neg.f64 b) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))

Outputs

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

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
556×	`times-frac_binary64`
399×	`associate-/l*_binary64`
372×	`associate-/r*_binary64`
170×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1839
1	529	1816
2	1928	1758

Stop Event

1×	node limit

Counts

201 → 213

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2))))))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(pow.f64 (pow.f64 b 2) 1/3)
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -64/27 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (.f64 128/9 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(pow.f64 (pow.f64 b 2) 1/3)
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (.f64 128/9 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(sqrt.f64 (.f64 -4 (.f64 c a)))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (*.f64 c a))))))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (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 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 5))) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) 3))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -1 (sqrt.f64 (.f64 -4 (*.f64 c a))))
(+.f64 (.f64 -1 (sqrt.f64 (.f64 -4 (.f64 c a)))) (.f64 -1 b))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (.f64 c a))))) (+.f64 (.f64 -1 (sqrt.f64 (.f64 -4 (.f64 c a)))) (*.f64 -1 b)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) (sqrt.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 (.f64 -1 (sqrt.f64 (.f64 -4 (.f64 c a)))) (.f64 -1 b))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))

Outputs
(.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4))
(.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 a a) (.f64 c c)))) (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 -4) 2)))))
(fma.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a)))))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2)) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 a (.f64 a (.f64 c c))))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 -4)))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2))))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 a a) (.f64 c c)))) (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 -4) 2))))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 a (.f64 a (.f64 c c))))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))))))
(+.f64 (.f64 (pow.f64 (.f64 c a) 1/3) (cbrt.f64 -4)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/3) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 1/3) (/.f64 (pow.f64 b 2) (pow.f64 (cbrt.f64 -4) 2)))) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8))) 1/3) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 a a) (.f64 c c)))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8)))))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 c (.f64 c (.f64 a a))))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -4) 2))) (.f64 5/81 (/.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 (cbrt.f64 -4) 8) (pow.f64 b 6)))))))
(fma.f64 (cbrt.f64 (.f64 c a)) (cbrt.f64 -4) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 a (.f64 a (.f64 c c))))) (.f64 (/.f64 b (pow.f64 (cbrt.f64 -4) 2)) b)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 8) (pow.f64 a 8)))) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -4) 8))) (.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (cbrt.f64 -4) 5)))))))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (.f64 b b)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(fma.f64 -16/9 (.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 c (.f64 c (.f64 a a))))) (fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (*.f64 b b))))
(fma.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) -16/9) (fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (*.f64 b b))))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -64/27 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (.f64 128/9 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(fma.f64 -16/9 (.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 c 3) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 c (.f64 c (.f64 a a))))) (fma.f64 -1/3 (.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 320/27 (cbrt.f64 (/.f64 1 (pow.f64 b 4)))))) (fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) -16/9) (fma.f64 -1/3 (.f64 (pow.f64 a 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) 320/27)))) (fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (*.f64 b b)))))
(pow.f64 (pow.f64 b 2) 1/3)
(cbrt.f64 (*.f64 b b))
(+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))
(fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (.f64 b b)))
(fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (.f64 b b)))
(+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3)))
(fma.f64 -16/9 (.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 c (.f64 c (.f64 a a))))) (fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (*.f64 b b))))
(fma.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) -16/9) (fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (*.f64 b b))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -64/27 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (.f64 128/9 (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/3))) (+.f64 (.f64 -16/9 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/9))) (+.f64 (.f64 -4/3 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/9))) (pow.f64 (pow.f64 b 2) 1/3))))
(fma.f64 -16/9 (.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 c 3) (.f64 (.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) 320/27))) (fma.f64 -4/3 (.f64 (.f64 c a) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 -16/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (.f64 c (.f64 c (.f64 a a))))) (fma.f64 -1/3 (.f64 (pow.f64 a 3) (.f64 (.f64 (pow.f64 c 3) (cbrt.f64 (/.f64 1 (pow.f64 b 4)))) (.f64 320/27 (cbrt.f64 (/.f64 1 (pow.f64 b 4)))))) (fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (*.f64 b b)))))
(fma.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 b 14)) 1/18)) -16/9) (fma.f64 -1/3 (.f64 (pow.f64 a 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) (.f64 (pow.f64 c 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 4))) 320/27)))) (fma.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 b 4)) 1/18) (.f64 c a))) (cbrt.f64 (*.f64 b b)))))
(sqrt.f64 (.f64 -4 (.f64 c a)))
(sqrt.f64 (.f64 (.f64 c a) -4))
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (.f64 -4 (*.f64 c a))))))
(+.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) (.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -4)))))
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -4)))) (sqrt.f64 (.f64 c (*.f64 a -4))))
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) (sqrt.f64 (.f64 c (*.f64 a -4))))
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(fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) (.f64 c c)) a))) (.f64 b -2))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 (.f64 c a) b) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (/.f64 (.f64 4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(+.f64 (fma.f64 b -2 (.f64 (/.f64 4 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 2 (fma.f64 (/.f64 c b) a (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) (.f64 c c)) a)))))

eval278.0ms (3.2%)

Compiler: Compiled 14128 to 8641 computations (38.8% saved)

prune798.0ms (9.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	259	2	261
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	260	10	270

Error

4.7b

Counts

270 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	21.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (.f64 2 a) (/.f64 b c)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	20.0b	(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 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (*.f64 2 a)))
	21.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 b -2)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
✓	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
✓	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a)))
	21.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 c b) a) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
✓	20.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a)))
	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) (neg.f64 b)) (*.f64 2 a)))
	33.3b	(if (>=.f64 b 0) (.f64 (/.f64 (.f64 c 2) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4))))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	24.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 454 to 298 computations (34.4% saved)

regimes144.0ms (1.7%)

Accuracy

Total -43.9b remaining (-682.3%)

Threshold costs -43.9b (-682.3%)

Counts

14 → 3

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (.f64 2 a) (/.f64 b 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 b -2)) (/.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 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 4 a)) (cbrt.f64 c))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.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 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (*.f64 2 a)))
(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 (fma.f64 b b (.f64 c (.f64 a -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 (/.f64 c b) a) b))) (/.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 (.f64 c 2) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4))))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.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 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)) (*.f64 2 a)))
(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) (neg.f64 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 b)) (/.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) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))) (/.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 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)))
(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) (neg.f64 b)) (*.f64 2 a)))

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

Results

Time	Error	Segments	Branch
47.0ms	15.5b	7	`a`
21.0ms	6.4b	3	`b`
35.0ms	15.0b	5	`c`
26.0ms	6.9b	5	`(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))`

Compiler

Compiled 639 to 379 computations (40.7% saved)

bsearch161.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
37.0ms	5.138908756474045e+120	∈ [	5.138908756474045e+120	,	1.890201629674128e+124	]
123.0ms	-7.5e+139	∈ [	-6.617002709823488e+155	,	-7.468542759185239e+139	]

Compiler

Compiled 807 to 521 computations (35.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
13×	`*-commutative_binary64`
11×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	166
1	55	162
2	84	162
3	104	162
4	116	162
5	120	162

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720) (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) (neg.f64 b)) (*.f64 2 a))) (if (<=.f64 b 5138908756474045127447739764517791425294615597749567801539997040135174378469797910832398561881994132369976926926681407488) (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) (fma.f64 b -2 (/.f64 (*.f64 2 a) (/.f64 b c)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))))

Outputs

(if (<=.f64 b -74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720) (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) (neg.f64 b)) (*.f64 2 a))) (if (<=.f64 b 5138908756474045127447739764517791425294615597749567801539997040135174378469797910832398561881994132369976926926681407488) (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) (fma.f64 b -2 (/.f64 (*.f64 2 a) (/.f64 b c)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))))

(if (<=.f64 b -74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720) (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) b) (*.f64 2 a))) (if (<=.f64 b 5138908756474045127447739764517791425294615597749567801539997040135174378469797910832398561881994132369976926926681407488) (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) (fma.f64 b -2 (/.f64 (*.f64 2 a) (/.f64 b c)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a))))) (*.f64 2 a)))))

(if (<=.f64 b -74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))) (if (<=.f64 b 5138908756474045127447739764517791425294615597749567801539997040135174378469797910832398561881994132369976926926681407488) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 b -2 (/.f64 (*.f64 2 a) (/.f64 b c)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 2 a)))))

end43.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 222 to 138 computations (37.8% saved)

Details

analyze1.3s (14.9%)

sample1.8s (20.3%)

preprocess36.0ms (0.4%)

simplify32.0ms (0.4%)

eval2.0ms (0%)

prune3.0ms (0%)

localize19.0ms (0.2%)

series36.0ms (0.4%)

rewrite76.0ms (0.9%)

simplify55.0ms (0.6%)

eval233.0ms (2.7%)

prune1.7s (19.2%)

localize46.0ms (0.5%)

series48.0ms (0.6%)

rewrite59.0ms (0.7%)

simplify59.0ms (0.7%)

eval215.0ms (2.5%)

prune748.0ms (8.7%)

localize38.0ms (0.4%)

series11.0ms (0.1%)

rewrite35.0ms (0.4%)

simplify38.0ms (0.4%)

eval156.0ms (1.8%)

prune397.0ms (4.6%)

localize28.0ms (0.3%)

series21.0ms (0.2%)

rewrite73.0ms (0.8%)

simplify52.0ms (0.6%)

eval278.0ms (3.2%)

prune798.0ms (9.2%)

regimes144.0ms (1.7%)

bsearch161.0ms (1.9%)

simplify6.0ms (0.1%)

end43.0ms (0.5%)

Profiling