Details

analyze465.0ms (2.8%)

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample2.1s (12.8%)

Results

1.8s	8249×	body	64	valid
281.0ms	1572×	body	64	invalid
2.0ms	7×	body	128	valid

preprocess58.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

676×	`fma-def_binary64`
491×	`associate-/l*_binary64`
481×	`div-sub_binary64`
461×	`associate-/r*_binary64`
383×	`fma-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
6	6285	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 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) a) -1/2))
(if (>=.f64 b 0) (/.f64 c (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) -1/2)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (/.f64 a -1/2)))
(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 a 0) (.f64 -2 (/.f64 c (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))))) (.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b) -1/2))
(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 c -2)))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))))) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) c) -1/2))
(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 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))) -1/2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (.f64 2 a)))
(if (>=.f64 c 0) (/.f64 (.f64 b -2) (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))))) (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))) (/.f64 a -1/2)))

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1002×	`fma-def_binary64`
782×	`fma-neg_binary64`
558×	`div-sub_binary64`
464×	`times-frac_binary64`
404×	`cancel-sign-sub-inv_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
9	5562	50
10	6493	50
11	6924	50
12	7036	50
13	7831	50
14	7887	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)))

prune5.0ms (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

20.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	21.0b	(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

▶

20.9b

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

21.0b

(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 231 to 143 computations (38.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.5b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	24.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series28.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
2.0ms	c	@	-inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite123.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4348	53

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

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

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

852×	`times-frac_binary64`
648×	`associate-r_binary64`
613×	`associate-l_binary64`
596×	`fma-def_binary64`
443×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	2281
1	396	2186
2	1373	2061

Stop Event

1×	node limit

Counts

512 → 477

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

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

prune8.9s (53.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	721	10	731
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	722	11	733

Error

4.5b

Counts

733 → 11

Alt Table

Status	Error	Program
	20.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (*.f64 2 a)))
	20.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 2 (.f64 a (/.f64 c b))) b)) (*.f64 2 a)))
	23.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	23.0b	(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) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (*.f64 2 a)))
▶	20.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))
	20.6b	(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)))
	21.0b	(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)))
	31.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 4 (.f64 a c))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)))
	21.0b	(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 (fma.f64 (.f64 (.f64 a -4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b b)))) (.f64 2 a)))
	24.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 38354 to 22615 computations (41% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
	1.5b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	1.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	24.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series18.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

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

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`log-prod_binary64`
729×	`fma-def_binary64`
358×	`fma-neg_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	343	22
2	4938	21

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

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

Outputs

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-neg_binary64`
630×	`times-frac_binary64`
621×	`fma-def_binary64`
382×	`associate-/r*_binary64`
375×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	799
1	415	751
2	1635	688
3	7081	688

Stop Event

1×	node limit

Counts

68 → 74

Calls

Call 1

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

prune3.2s (19.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	467	6	473
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	472	12	484

Error

4.5b

Counts

484 → 12

Alt Table

Status	Error	Program
	23.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (*.f64 2 a)))
	19.8b	(if (>=.f64 b 0) (/.f64 (neg.f64 c) b) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))
	20.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 2 (.f64 a (/.f64 c b))) b)) (*.f64 2 a)))
	23.0b	(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) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (*.f64 2 a)))
	33.8b	(if (>=.f64 b 0) (.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))
▶	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	39.9b	(if (>=.f64 b 0) (.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	21.0b	(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)))
	31.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 4 (.f64 a c))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)))
	22.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	21.0b	(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 (fma.f64 (.f64 (.f64 a -4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b b)))) (.f64 2 a)))

Compiler

Compiled 21340 to 12133 computations (43.1% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.6b	(/.f64 (.f64 2 c) (fma.f64 2 (.f64 a (/.f64 c b)) (*.f64 b -2)))
✓	5.9b	(*.f64 a (/.f64 c b))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(*.f64 a (/.f64 c b))
1.0ms	c	@	0	(/.f64 (.f64 2 c) (fma.f64 2 (.f64 a (/.f64 c b)) (*.f64 b -2)))
1.0ms	a	@	0	(*.f64 a (/.f64 c b))
1.0ms	b	@	inf	(/.f64 (.f64 2 c) (fma.f64 2 (.f64 a (/.f64 c b)) (*.f64 b -2)))
1.0ms	b	@	0	(/.f64 (.f64 2 c) (fma.f64 2 (.f64 a (/.f64 c b)) (*.f64 b -2)))

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`log-prod_binary64`
390×	`pow-prod-down_binary64`
333×	`pow2_binary64`
236×	`pow1/3_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	255	27
2	3354	27

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

746×	`associate-*l/_binary64`
710×	`associate-/r/_binary64`
517×	`unswap-sqr_binary64`
499×	`associate-*r/_binary64`
343×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1343
1	155	1319
2	580	1279
3	3256	1275

Stop Event

1×	node limit

Counts

148 → 93

Calls

Call 1

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

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

prune211.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	91	14	105

Error

4.5b

Counts

105 → 14

Alt Table

Status	Error	Program
	23.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (*.f64 2 a)))
	23.0b	(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) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (*.f64 2 a)))
	33.8b	(if (>=.f64 b 0) (.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))
✓	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
▶	19.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 2 (pow.f64 (cbrt.f64 (.f64 a (/.f64 c b))) 3) (.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	19.8b	(if (>=.f64 b 0) (/.f64 (neg.f64 c) b) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))
	39.9b	(if (>=.f64 b 0) (.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	21.0b	(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)))
	31.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 4 (.f64 a c))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)))
	22.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	20.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 2 (.f64 a (/.f64 c b))) b)) (*.f64 2 a)))
	21.0b	(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 (fma.f64 (.f64 (.f64 a -4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b b)))) (.f64 2 a)))
	42.7b	(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))

Compiler

Compiled 4117 to 2333 computations (43.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) 3)
✓	2.6b	(/.f64 (.f64 2 c) (fma.f64 2 (pow.f64 (cbrt.f64 (.f64 a (/.f64 c b))) 3) (*.f64 b -2)))
	5.9b	(*.f64 a (/.f64 c b))
✓	15.9b	(cbrt.f64 (*.f64 a (/.f64 c b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series23.0ms (0.1%)

Counts

3 → 11

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/.f64 (.f64 2 c) (fma.f64 2 (pow.f64 (cbrt.f64 (.f64 a (/.f64 c b))) 3) (*.f64 b -2)))
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (fma.f64 2 (pow.f64 (cbrt.f64 (.f64 a (/.f64 c b))) 3) (*.f64 b -2)))
1.0ms	c	@	0	(/.f64 (.f64 2 c) (fma.f64 2 (pow.f64 (cbrt.f64 (.f64 a (/.f64 c b))) 3) (*.f64 b -2)))
1.0ms	c	@	inf	(/.f64 (.f64 2 c) (fma.f64 2 (pow.f64 (cbrt.f64 (.f64 a (/.f64 c b))) 3) (*.f64 b -2)))
1.0ms	a	@	-inf	(/.f64 (.f64 2 c) (fma.f64 2 (pow.f64 (cbrt.f64 (.f64 a (/.f64 c b))) 3) (*.f64 b -2)))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`log-prod_binary64`
371×	`pow2_binary64`
273×	`pow-unpow_binary64`
260×	`pow1/3_binary64`
257×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	325	36
2	3861	36

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

Outputs

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simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	66
1	10	66
2	17	66
3	23	66
4	29	66
5	37	66
6	45	66
7	55	66
8	63	66
9	77	66

Stop Event

1×

saturated

Counts

136 → 127

Calls

Call 1

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

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

prune510.0ms (3.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	12	12
Picked	1	0	1
Done	1	0	1
Total	157	13	170

Error

4.5b

Counts

170 → 13

Alt Table

Status	Error	Program
	23.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 4 (.f64 a c))))))) (*.f64 2 a)))
	23.0b	(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) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (*.f64 2 a)))
	33.8b	(if (>=.f64 b 0) (.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))
	19.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 2 (.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	19.8b	(if (>=.f64 b 0) (/.f64 (neg.f64 c) b) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))
	39.9b	(if (>=.f64 b 0) (.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	21.0b	(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)))
	31.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 4 (.f64 a c))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)))
	22.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (.f64 2 a)))
	20.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 2 (.f64 a (/.f64 c b))) b)) (*.f64 2 a)))
	21.0b	(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 (fma.f64 (.f64 (.f64 a -4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b b)))) (.f64 2 a)))
	42.7b	(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))

Compiler

Compiled 5729 to 3026 computations (47.2% saved)

regimes210.0ms (1.3%)

Accuracy

Total -58.0b remaining (-1075.6%)

Threshold costs -58.0b (-1075.6%)

Counts

22 → 5

Calls

Call 1

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

Results

46.0ms	12.6b	`a`
28.0ms	5.4b	`b`
82.0ms	12.3b	`c`
33.0ms	5.4b	`(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))`

Compiler

Compiled 802 to 447 computations (44.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

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

Steps

Iters	Point		Range
5e+283	∈ [	4.874935556696493e+283	,	#hash((type . real) (value . +inf))	]
5e-247	∈ [	4.407838934548414e-247	,	1.3808567131988546e-213	]
-5e-257	∈ [	-5.0206112477732634e-257	,	-6.573851315661893e-289	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-1.9283417627829607e+291	]

Compiler

Compiled 47 to 31 computations (34% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
14×	`+-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	57	524
1	81	512
2	110	512
3	130	512
4	142	512
5	146	512

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (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))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a))) (if (<=.f64 (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))) -6762169998536515/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (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 (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))) 7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a))) (if (<=.f64 (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))) 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688) (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 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))))))

Outputs

(if (<=.f64 (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))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a))) (if (<=.f64 (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))) -6762169998536515/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (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 (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))) 7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a))) (if (<=.f64 (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))) 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688) (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 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (+.f64 (neg.f64 b) (neg.f64 b)) (*.f64 2 a)))))))

(if (<=.f64 (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))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))) (if (<=.f64 (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))) -6762169998536515/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (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 (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))) 7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))) (if (<=.f64 (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))) 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688) (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 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a))))))) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)))))))

(if (<=.f64 (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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))) (if (<=.f64 (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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) -6762169998536515/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) (if (<=.f64 (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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) 7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a))) (if (<=.f64 (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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 a)))) b) (*.f64 2 a))) 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688) (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 (sqrt.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a)))))) b) (*.f64 2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b))) (*.f64 b -2))) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 2 a)))))))

end111.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 684 to 406 computations (40.6% saved)

Details

analyze465.0ms (2.8%)

sample2.1s (12.8%)

preprocess58.0ms (0.3%)

simplify89.0ms (0.5%)

prune5.0ms (0%)

localize19.0ms (0.1%)

series28.0ms (0.2%)

rewrite123.0ms (0.7%)

simplify68.0ms (0.4%)

prune8.9s (53.7%)

localize21.0ms (0.1%)

series18.0ms (0.1%)

rewrite66.0ms (0.4%)

simplify57.0ms (0.3%)

prune3.2s (19.5%)

localize17.0ms (0.1%)

series13.0ms (0.1%)

rewrite55.0ms (0.3%)

simplify46.0ms (0.3%)

prune211.0ms (1.3%)

localize19.0ms (0.1%)

series23.0ms (0.1%)

rewrite65.0ms (0.4%)

simplify10.0ms (0.1%)

prune510.0ms (3.1%)

regimes210.0ms (1.3%)

bsearch1.0ms (0%)

simplify13.0ms (0.1%)

end111.0ms (0.7%)

Profiling