Details

analyze722.0ms (8.2%)

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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.3s (26.5%)

Results

735.0ms	5372×	body	128	valid
640.0ms	1150×	body	2048	valid
329.0ms	738×	body	1024	valid
281.0ms	420×	body	4096	valid
140.0ms	395×	body	512	valid
139.0ms	1094×	body	128	invalid
45.0ms	181×	body	256	valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

preprocess41.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

531×	`associate-/l*_binary64`
461×	`fma-neg_binary64`
449×	`div-sub_binary64`
277×	`fma-def_binary64`
251×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	104
1	115	96
2	308	96
3	784	88
4	1482	88
5	2839	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

846×	`fma-def_binary64`
544×	`div-sub_binary64`
489×	`fma-neg_binary64`
405×	`times-frac_binary64`
262×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	100	24
3	259	22
4	460	22
5	840	22
6	1790	22
7	2999	22
8	3682	22
9	4742	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

33.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	33.6b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
▶	33.5b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	2.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series130.0ms (1.5%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	c	@	inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
10.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
9.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
8.0ms	c	@	-inf	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
7.0ms	c	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

176×	`add-sqr-sqrt_binary64`
169×	`*-un-lft-identity_binary64`
169×	`pow1_binary64`
165×	`add-exp-log_binary64`
165×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	347	62

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

743×	`times-frac_binary64`
469×	`associate-/l*_binary64`
434×	`fma-def_binary64`
425×	`associate-/r*_binary64`
158×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	2060
1	415	1984
2	1475	1904

Stop Event

1×	node limit

Counts

256 → 236

Calls

Call 1

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

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

prune208.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	226	10	236
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	227	11	238

Error

5.6b

Counts

238 → 11

Alt Table

Status	Error	Program
	45.0b	(pow.f64 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))) 1/2)) -1)
▶	33.6b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
	45.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) 2) a) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))) 2))
	41.7b	(/.f64 (neg.f64 c) b)
	42.8b	(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (.f64 2 a))
	54.1b	(pow.f64 (sqrt.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 2)
	34.5b	(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
	45.3b	(pow.f64 (cbrt.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 3)
	44.9b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.7b	(neg.f64 (/.f64 b a))
	54.7b	(exp.f64 (log.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))

Compiler

Compiled 6375 to 3727 computations (41.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
✓	2.1b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	23.5b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series155.0ms (1.8%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
31.0ms	c	@	0	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
10.0ms	a	@	-inf	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
9.0ms	a	@	inf	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
8.0ms	c	@	inf	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
8.0ms	b	@	-inf	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`prod-diff_binary64`
141×	`add-sqr-sqrt_binary64`
134×	`*-un-lft-identity_binary64`
134×	`pow1_binary64`
131×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	279	62
2	3630	62

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

740×	`times-frac_binary64`
465×	`associate-/l*_binary64`
423×	`associate-/r*_binary64`
372×	`fma-def_binary64`
147×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	2045
1	381	1971
2	1339	1891

Stop Event

1×	node limit

Counts

226 → 204

Calls

Call 1

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

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

prune148.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	199	5	204
Fresh	5	5	10
Picked	0	1	1
Done	0	0	0
Total	204	11	215

Error

5.6b

Counts

215 → 11

Alt Table

Status	Error	Program
	42.8b	(.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (/.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (/.f64 -1/2 a))
	44.7b	(*.f64 (+.f64 b b) (/.f64 -1/2 a))
✓	33.6b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
	40.4b	(.f64 (cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) 3)) (/.f64 -1/2 a))
	41.2b	(.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)) (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (-.f64 (.f64 b b) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))) (/.f64 -1/2 a))
	42.8b	(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (.f64 2 a))
▶	34.6b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
	41.7b	(/.f64 (neg.f64 c) b)
	44.9b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.7b	(neg.f64 (/.f64 b a))
	54.7b	(exp.f64 (log.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))

Compiler

Compiled 5273 to 3088 computations (41.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
✓	0.5b	(pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)
✓	11.6b	(+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2))
✓	24.1b	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)

series195.0ms (2.2%)

Counts

4 → 112

Calls

36 calls:

Time	Variable		Point	Expression
18.0ms	c	@	-inf	(pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)
11.0ms	a	@	inf	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
10.0ms	a	@	-inf	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
8.0ms	c	@	inf	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
8.0ms	c	@	-inf	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))

rewrite87.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`prod-diff_binary64`
168×	`add-sqr-sqrt_binary64`
161×	`pow1_binary64`
160×	`add-log-exp_binary64`
160×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	350	65
2	4230	65

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

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

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

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

325×	`times-frac_binary64`
294×	`associate-/r*_binary64`
261×	`associate-/l*_binary64`
257×	`fma-neg_binary64`
246×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	4924
1	1211	4822
2	4992	4818

Stop Event

1×	node limit

Counts

233 → 277

Calls

Call 1

Inputs
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 2)) (.f64 c a))) (.f64 7/8192 (/.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (+.f64 (.f64 7/8192 (/.f64 (.f64 (pow.f64 b 6) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 3/512 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c)))))) (*.f64 c a))))))
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (.f64 3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (+.f64 (.f64 7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (.f64 3/512 (.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))))))
(sqrt.f64 b)
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (+.f64 (.f64 7/2 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))))) (+.f64 (.f64 3/2 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))))) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(sqrt.f64 (*.f64 -1 b))
(-.f64 (sqrt.f64 (.f64 -1 b)) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (sqrt.f64 (.f64 -1 b)) (pow.f64 a 2))) (pow.f64 b 4))) (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -1 b)) (+.f64 (.f64 3/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 c a)) (pow.f64 b 2)) (.f64 7/2 (/.f64 (.f64 (sqrt.f64 (.f64 -1 b)) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 6))))))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(+.f64 b (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))
(+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))))
(-.f64 (+.f64 b (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(-.f64 (.f64 2 b) (.f64 2 (/.f64 (*.f64 c a) b)))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 (.f64 2 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2) (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (*.f64 c a))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (.f64 c a))) (.f64 1/128 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (.f64 c a))) (+.f64 (.f64 1/1024 (/.f64 (.f64 (pow.f64 b 6) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 1/128 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 1/128 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/1024 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 b 6)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 1/128 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 1/1024 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 1/128 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 c a))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 c a)))))
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) (+.f64 (.f64 1/128 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (.f64 c a))) (.f64 1/1024 (/.f64 (.f64 (pow.f64 b 6) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(sqrt.f64 (.f64 -4 (.f64 c a)))
(-.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 -4 (*.f64 c a))) (pow.f64 b 2))))
(-.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 4))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 -4 (.f64 c a))) (pow.f64 b 2)))))
(-.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) (+.f64 (.f64 1/128 (.f64 (sqrt.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 4))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 -4 (.f64 c a))) (pow.f64 b 2))) (.f64 1/1024 (.f64 (sqrt.f64 (/.f64 -4 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (pow.f64 b 6))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
(.f64 -1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)) (.f64 1/2 (/.f64 b a))))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)) (.f64 1/2 (/.f64 b a)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)) (.f64 1/2 (/.f64 b a)))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))

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

prune219.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	274	3	277
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	278	10	288

Error

0.7b

Counts

288 → 10

Alt Table

Status	Error	Program
	52.8b	(.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (*.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (/.f64 -1/2 a))
✓	33.6b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
	40.4b	(.f64 (cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) 3)) (/.f64 -1/2 a))
	41.2b	(.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)) (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (-.f64 (.f64 b b) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))) (/.f64 -1/2 a))
	42.8b	(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (.f64 2 a))
	51.2b	(.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (*.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) (/.f64 -1/2 a))
✓	34.6b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
	41.7b	(/.f64 (neg.f64 c) b)
	44.7b	(neg.f64 (/.f64 b a))
▶	34.6b	(.f64 (+.f64 b (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4)))) (/.f64 -1/2 a))

Compiler

Compiled 9657 to 6344 computations (34.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4))
✓	13.0b	(+.f64 b (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4))))
	24.1b	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)
✓	24.2b	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8)

series153.0ms (1.7%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	a	@	inf	(+.f64 b (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4))))
9.0ms	b	@	0	(.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4))
8.0ms	c	@	-inf	(.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4))
8.0ms	b	@	-inf	(.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4))
7.0ms	c	@	inf	(.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`fma-def_binary64`
241×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`
204×	`fma-neg_binary64`
152×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	323	44
2	3786	44

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8)

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

(*.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))

Outputs

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

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

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

350×	`associate-r_binary64`
260×	`associate-/r*_binary64`
247×	`times-frac_binary64`
216×	`associate-l_binary64`
190×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	390	4913
1	1324	4819

Stop Event

1×	node limit

Counts

177 → 219

Calls

Call 1

Inputs
(pow.f64 b 1/4)
(-.f64 (pow.f64 b 1/4) (.f64 1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))))
(-.f64 (pow.f64 b 1/4) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (.f64 7/8 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4)))))
(-.f64 (pow.f64 b 1/4) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (+.f64 (.f64 35/16 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b 23)) 1/4))) (.f64 7/8 (.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4))))))
(exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (.f64 1/32 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 7/2048 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/32 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 35/65536 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 7/2048 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
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(exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (*.f64 3 (log.f64 (/.f64 -1 c))))))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (.f64 3 (log.f64 (/.f64 -1 c)))))) (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (.f64 3 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (.f64 3 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 15/2048 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (.f64 3 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (.f64 3 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (.f64 3 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 65/65536 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (.f64 3 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 15/2048 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (.f64 3 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 3/32 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 64 (pow.f64 a 3))) (.f64 3 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))))
(pow.f64 (.f64 -64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/8)
(-.f64 (pow.f64 (.f64 -64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/8) (.f64 3/32 (.f64 (pow.f64 (/.f64 -64 (*.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/8) (pow.f64 b 2))))
(-.f64 (pow.f64 (.f64 -64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/8) (+.f64 (.f64 3/32 (.f64 (pow.f64 (/.f64 -64 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/8) (pow.f64 b 2))) (.f64 15/2048 (.f64 (pow.f64 (/.f64 -64 (.f64 (pow.f64 c 13) (pow.f64 a 13))) 1/8) (pow.f64 b 4)))))
(-.f64 (pow.f64 (.f64 -64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/8) (+.f64 (.f64 3/32 (.f64 (pow.f64 (/.f64 -64 (.f64 (pow.f64 c 5) (pow.f64 a 5))) 1/8) (pow.f64 b 2))) (+.f64 (.f64 15/2048 (.f64 (pow.f64 (/.f64 -64 (.f64 (pow.f64 c 13) (pow.f64 a 13))) 1/8) (pow.f64 b 4))) (.f64 65/65536 (.f64 (pow.f64 (/.f64 -64 (*.f64 (pow.f64 c 21) (pow.f64 a 21))) 1/8) (pow.f64 b 6))))))
(pow.f64 (pow.f64 b 3) 1/4)
(-.f64 (pow.f64 (pow.f64 b 3) 1/4) (.f64 3/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/4))))
(-.f64 (pow.f64 (pow.f64 b 3) 1/4) (+.f64 (.f64 3/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/4))) (.f64 15/8 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 13)) 1/4)))))
(-.f64 (pow.f64 (pow.f64 b 3) 1/4) (+.f64 (.f64 3/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/4))) (+.f64 (.f64 65/16 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b 21)) 1/4))) (.f64 15/8 (.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 13)) 1/4))))))
(pow.f64 (*.f64 -1 (pow.f64 b 3)) 1/4)
(-.f64 (pow.f64 (.f64 -1 (pow.f64 b 3)) 1/4) (.f64 3/2 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4) (.f64 c a))))
(-.f64 (pow.f64 (.f64 -1 (pow.f64 b 3)) 1/4) (+.f64 (.f64 15/8 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 13)) 1/4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 3/2 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4) (*.f64 c a)))))
(-.f64 (pow.f64 (.f64 -1 (pow.f64 b 3)) 1/4) (+.f64 (.f64 65/16 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 21)) 1/4) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 15/8 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 13)) 1/4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 3/2 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4) (.f64 c a))))))

Outputs
(pow.f64 b 1/4)
(-.f64 (pow.f64 b 1/4) (.f64 1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))))
(-.f64 (pow.f64 b 1/4) (.f64 (.f64 1/2 (*.f64 c a)) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4)))
(+.f64 (pow.f64 b 1/4) (.f64 (.f64 c (*.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) -1/2))
(-.f64 (pow.f64 b 1/4) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (.f64 7/8 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4)))))
(-.f64 (pow.f64 b 1/4) (fma.f64 1/2 (.f64 c (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (.f64 (.f64 7/8 (.f64 (.f64 c c) (*.f64 a a))) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4))))
(-.f64 (pow.f64 b 1/4) (fma.f64 1/2 (.f64 c (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4) 7/8))))
(-.f64 (pow.f64 b 1/4) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (+.f64 (.f64 35/16 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b 23)) 1/4))) (.f64 7/8 (.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4))))))
(-.f64 (pow.f64 b 1/4) (fma.f64 1/2 (.f64 c (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (fma.f64 35/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 23)) 1/4))) (.f64 (.f64 7/8 (.f64 (.f64 c c) (*.f64 a a))) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4)))))
(-.f64 (pow.f64 b 1/4) (fma.f64 1/2 (.f64 c (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (fma.f64 35/16 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 23)) 1/4))) (.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4) 7/8)))))
(exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))
(pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (*.f64 -4 c)) (neg.f64 (log.f64 a))))
(pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (*.f64 c -4)) (log.f64 a)))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (.f64 1/32 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (.f64 -1/32 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (*.f64 -4 c)) (neg.f64 (log.f64 a)))) a))))
(+.f64 (pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) (.f64 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) a)) -1/32))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 7/2048 (/.f64 (.f64 (pow.f64 b 4) (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 1/32 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a)))))
(-.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (fma.f64 1/32 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) a)) (.f64 7/2048 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (*.f64 a a))))))
(-.f64 (pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) (fma.f64 1/32 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) a)) (.f64 (/.f64 (pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) (.f64 c c)) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 7/2048))))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (+.f64 (.f64 35/65536 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a)))))) (.f64 c a))) (.f64 7/2048 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(-.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (fma.f64 35/65536 (.f64 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (pow.f64 c 3)) (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (fma.f64 1/32 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) a)) (.f64 7/2048 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 -4 c)) (neg.f64 (log.f64 a)))) (*.f64 a a)))))))
(-.f64 (pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) (fma.f64 35/65536 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (/.f64 (pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) (pow.f64 c 3))) (fma.f64 1/32 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) a)) (.f64 (/.f64 (pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (.f64 c -4)) (log.f64 a))) (.f64 c c)) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 7/2048)))))
(exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a))))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (.f64 1/32 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (.f64 -1/32 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (/.f64 (.f64 c a) (*.f64 b b)))))
(+.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (.f64 (.f64 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) c) (/.f64 (*.f64 b b) a)) -1/32))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/32 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (.f64 7/2048 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))
(-.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (fma.f64 1/32 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (/.f64 (.f64 c a) (.f64 b b))) (/.f64 (.f64 7/2048 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))))) (.f64 (.f64 c c) (.f64 a a)))))
(-.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (fma.f64 1/32 (.f64 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) c) (/.f64 (.f64 b b) a)) (.f64 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (.f64 c c)) (.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 7/2048))))
(-.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (+.f64 (.f64 1/32 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 35/65536 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 6)) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 7/2048 (/.f64 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(-.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (fma.f64 1/32 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (/.f64 (.f64 c a) (.f64 b b))) (fma.f64 35/65536 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 6))) (/.f64 (.f64 7/2048 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))))) (.f64 (.f64 c c) (.f64 a a))))))
(-.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (fma.f64 1/32 (.f64 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) c) (/.f64 (.f64 b b) a)) (fma.f64 7/2048 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) (.f64 c c))) (.f64 35/65536 (.f64 (/.f64 (pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (*.f64 c 4)) (log.f64 (/.f64 -1 a)))) (pow.f64 c 3)) (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))))
(pow.f64 b 1/4)
(-.f64 (pow.f64 b 1/4) (.f64 1/2 (.f64 (*.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))))
(-.f64 (pow.f64 b 1/4) (.f64 (.f64 1/2 (*.f64 c a)) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4)))
(+.f64 (pow.f64 b 1/4) (.f64 (.f64 c (*.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) -1/2))
(-.f64 (pow.f64 b 1/4) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (.f64 7/8 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4)))))
(-.f64 (pow.f64 b 1/4) (fma.f64 1/2 (.f64 c (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (.f64 (.f64 7/8 (.f64 (.f64 c c) (*.f64 a a))) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4))))
(-.f64 (pow.f64 b 1/4) (fma.f64 1/2 (.f64 c (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4) 7/8))))
(-.f64 (pow.f64 b 1/4) (+.f64 (.f64 1/2 (.f64 (.f64 c a) (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (+.f64 (.f64 35/16 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 b 23)) 1/4))) (.f64 7/8 (.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4))))))
(-.f64 (pow.f64 b 1/4) (fma.f64 1/2 (.f64 c (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (fma.f64 35/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (pow.f64 b 23)) 1/4))) (.f64 (.f64 7/8 (.f64 (.f64 c c) (*.f64 a a))) (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4)))))
(-.f64 (pow.f64 b 1/4) (fma.f64 1/2 (.f64 c (.f64 a (pow.f64 (/.f64 1 (pow.f64 b 7)) 1/4))) (fma.f64 35/16 (.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) (pow.f64 (/.f64 1 (pow.f64 b 23)) 1/4))) (.f64 (.f64 (.f64 c c) (.f64 a a)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 15)) 1/4) 7/8)))))
(exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c)))))
(pow.f64 (exp.f64 1/8) (-.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (log.f64 c))))
(pow.f64 (exp.f64 1/8) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))
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(-.f64 (pow.f64 (.f64 -1 (pow.f64 b 3)) 1/4) (.f64 3/2 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4) (.f64 c a))))
(-.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/4) (.f64 (.f64 3/2 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4)) (*.f64 c a)))
(+.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/4) (.f64 (.f64 -3/2 (*.f64 c a)) (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4)))
(-.f64 (pow.f64 (.f64 -1 (pow.f64 b 3)) 1/4) (+.f64 (.f64 15/8 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 13)) 1/4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 3/2 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4) (*.f64 c a)))))
(-.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/4) (fma.f64 15/8 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (/.f64 -1 (pow.f64 b 13)) 1/4)) (.f64 (.f64 3/2 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4)) (*.f64 c a))))
(-.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/4) (fma.f64 (.f64 3/2 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4)) (.f64 c a) (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 13)) 1/4) (.f64 (.f64 (.f64 c c) (*.f64 a a)) 15/8))))
(-.f64 (pow.f64 (.f64 -1 (pow.f64 b 3)) 1/4) (+.f64 (.f64 65/16 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 21)) 1/4) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (.f64 15/8 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 13)) 1/4) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (.f64 3/2 (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4) (.f64 c a))))))
(-.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/4) (fma.f64 65/16 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (/.f64 -1 (pow.f64 b 21)) 1/4)) (fma.f64 15/8 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (/.f64 -1 (pow.f64 b 13)) 1/4)) (.f64 (.f64 3/2 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4)) (*.f64 c a)))))
(-.f64 (pow.f64 (neg.f64 (pow.f64 b 3)) 1/4) (fma.f64 65/16 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (/.f64 -1 (pow.f64 b 21)) 1/4))) (fma.f64 (.f64 3/2 (pow.f64 (/.f64 -1 (pow.f64 b 5)) 1/4)) (.f64 c a) (.f64 (pow.f64 (/.f64 -1 (pow.f64 b 13)) 1/4) (.f64 (.f64 (.f64 c c) (*.f64 a a)) 15/8)))))

prune430.0ms (4.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	366	1	367
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	367	10	377

Error

0.7b

Counts

377 → 10

Alt Table

Status	Error	Program
	52.8b	(.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (*.f64 4 c))) (log.f64 (/.f64 1 a))))) 2)) (/.f64 -1/2 a))
✓	33.6b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
	44.7b	(neg.f64 (/.f64 b a))
	35.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/16) (.f64 (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 1/16) (pow.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) 3/8)) b) (/.f64 -1/2 a))
	42.8b	(/.f64 (/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 a c) -4)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (.f64 2 a))
	51.2b	(.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (*.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) (/.f64 -1/2 a))
	41.2b	(.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2)) (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (-.f64 (.f64 b b) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))) (/.f64 -1/2 a))
✓	34.6b	(.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
	41.7b	(/.f64 (neg.f64 c) b)
✓	34.6b	(.f64 (+.f64 b (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/8) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4)))) (/.f64 -1/2 a))

Compiler

Compiled 20064 to 13170 computations (34.4% saved)

regimes3.2s (36.3%)

Accuracy

Total 9.0b remaining (91.2%)

Threshold costs 0b (0%)

Counts

189 → 3

Compiler

Compiled 19092 to 12682 computations (33.6% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Calls

2 calls:

34.0ms	b
21.0ms	b

Steps

Iters	Point		Range
1.9e+108	∈ [	2.670974501617099e+107	,	2.578023956207993e+108	]
-1.8e-68	∈ [	-1.944532425732236e-68	,	-1.682491238019327e-69	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	48
1	40	48
2	50	48
3	57	48
4	59	48

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 b -8742010015015781/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (/.f64 (neg.f64 c) b) (if (<=.f64 b 1900000000000000038524023757623944826157447155814465829196722919267979008131483831520128434152683708103000064) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 1/2) (neg.f64 a)) (neg.f64 (/.f64 b a))))

Outputs

(if (<=.f64 b -8742010015015781/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (/.f64 (neg.f64 c) b) (if (<=.f64 b 1900000000000000038524023757623944826157447155814465829196722919267979008131483831520128434152683708103000064) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 1/2) (neg.f64 a)) (neg.f64 (/.f64 b a))))

(if (<=.f64 b -8742010015015781/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (/.f64 (neg.f64 c) b) (if (<=.f64 b 1900000000000000038524023757623944826157447155814465829196722919267979008131483831520128434152683708103000064) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) 1/2) (neg.f64 a)) (/.f64 (neg.f64 b) a)))

end165.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 329 to 216 computations (34.3% saved)

Details

analyze722.0ms (8.2%)

sample2.3s (26.5%)

preprocess41.0ms (0.5%)

simplify42.0ms (0.5%)

prune3.0ms (0%)

localize11.0ms (0.1%)

series130.0ms (1.5%)

rewrite50.0ms (0.6%)

simplify50.0ms (0.6%)

prune208.0ms (2.4%)

localize10.0ms (0.1%)

series155.0ms (1.8%)

rewrite80.0ms (0.9%)

simplify53.0ms (0.6%)

prune148.0ms (1.7%)

localize13.0ms (0.1%)

series195.0ms (2.2%)

rewrite87.0ms (1%)

simplify100.0ms (1.1%)

prune219.0ms (2.5%)

localize18.0ms (0.2%)

series153.0ms (1.7%)

rewrite57.0ms (0.6%)

simplify71.0ms (0.8%)

prune430.0ms (4.9%)

regimes3.2s (36.3%)

bsearch56.0ms (0.6%)

simplify3.0ms (0%)

end165.0ms (1.9%)

Profiling