Details

analyze1.1s (23.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
9.4%	78%	12.7%	11
10.9%	68.6%	20.5%	12
14.8%	59%	26.2%	13
18.5%	54.3%	27.1%	14

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.4s (29.9%)

Results

957.0ms	8256×	body	128	valid
398.0ms	3504×	body	128	invalid

preprocess37.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

819×	`fma-def_binary64`
629×	`fma-neg_binary64`
386×	`associate-l_binary64`
328×	`associate-r_binary64`
306×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	133
1	113	119
2	388	119
3	1707	119
4	4575	119
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
(-.f64 (.f64 y y) (.f64 (.f64 x 4) (-.f64 (.f64 z z) t)))
(-.f64 (.f64 z z) (.f64 (.f64 y 4) (-.f64 (.f64 x x) t)))
(-.f64 (.f64 t t) (.f64 (.f64 y 4) (-.f64 (.f64 z z) x)))
(-.f64 (.f64 x x) (.f64 (.f64 z 4) (-.f64 (.f64 y y) t)))
(-.f64 (.f64 x x) (.f64 (.f64 t 4) (-.f64 (.f64 z z) y)))
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 t t) z)))

Outputs
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 y -4)))
(fma.f64 x x (.f64 y (.f64 (-.f64 (*.f64 z z) t) -4)))
(-.f64 (.f64 y y) (.f64 (.f64 x 4) (-.f64 (.f64 z z) t)))
(-.f64 (.f64 y y) (.f64 x (.f64 4 (-.f64 (.f64 z z) t))))
(fma.f64 y y (.f64 (-.f64 (.f64 z z) t) (*.f64 x -4)))
(fma.f64 x (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 y y))
(-.f64 (.f64 z z) (.f64 (.f64 y 4) (-.f64 (.f64 x x) t)))
(-.f64 (.f64 z z) (.f64 y (.f64 4 (-.f64 (.f64 x x) t))))
(fma.f64 z z (.f64 (-.f64 (.f64 x x) t) (*.f64 y -4)))
(fma.f64 y (.f64 (-.f64 (.f64 x x) t) -4) (*.f64 z z))
(fma.f64 y (.f64 4 (-.f64 t (.f64 x x))) (*.f64 z z))
(-.f64 (.f64 t t) (.f64 (.f64 y 4) (-.f64 (.f64 z z) x)))
(-.f64 (.f64 t t) (.f64 y (.f64 4 (-.f64 (.f64 z z) x))))
(fma.f64 t t (.f64 (-.f64 (.f64 z z) x) (*.f64 y -4)))
(fma.f64 y (.f64 (-.f64 (.f64 z z) x) -4) (*.f64 t t))
(-.f64 (.f64 x x) (.f64 (.f64 z 4) (-.f64 (.f64 y y) t)))
(-.f64 (.f64 x x) (.f64 z (*.f64 4 (fma.f64 y y (neg.f64 t)))))
(fma.f64 x x (.f64 (fma.f64 y y (neg.f64 t)) (.f64 z -4)))
(fma.f64 (fma.f64 y y (neg.f64 t)) (.f64 z -4) (.f64 x x))
(fma.f64 x x (.f64 (.f64 4 z) (-.f64 t (*.f64 y y))))
(-.f64 (.f64 x x) (.f64 (.f64 t 4) (-.f64 (.f64 z z) y)))
(-.f64 (.f64 x x) (.f64 (.f64 4 t) (-.f64 (.f64 z z) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) y) (*.f64 t -4)))
(fma.f64 t (.f64 4 (-.f64 y (.f64 z z))) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 t t) z)))
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) (fma.f64 t t (neg.f64 z))))
(fma.f64 x x (.f64 (fma.f64 t t (neg.f64 z)) (.f64 y -4)))
(fma.f64 x x (.f64 y (.f64 (-.f64 (*.f64 t t) z) -4)))
(fma.f64 y (.f64 (-.f64 (.f64 t t) z) -4) (*.f64 x x))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-neg_binary64`
525×	`fma-def_binary64`
182×	`cancel-sign-sub-inv_binary64`
159×	`associate-l_binary64`
152×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	25	17
2	77	17
3	302	17
4	829	17
5	1620	17
6	2745	17
7	3158	17
8	3307	17
9	3349	17
10	3365	17
11	3365	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))

Outputs
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 y -4)))
(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

3.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	3.6b	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))

Compiler

Compiled 61 to 34 computations (44.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 z z) t)
✓	3.3b	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))

series10.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
1.0ms	y	@	0	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
1.0ms	z	@	0	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
1.0ms	z	@	inf	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
1.0ms	t	@	0	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))

rewrite54.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`prod-diff_binary64`
233×	`fma-def_binary64`
202×	`expm1-udef_binary64`
202×	`log1p-udef_binary64`
172×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	230	24
2	2889	24

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

Inputs
(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
(-.f64 (*.f64 z z) t)

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

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

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-def_binary64`
484×	`unswap-sqr_binary64`
345×	`distribute-rgt-neg-in_binary64`
318×	`associate-l_binary64`
260×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	871
1	62	869
2	137	869
3	295	869
4	628	869
5	1513	869
6	2702	869

Stop Event

1×	node limit

Counts

194 → 145

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(*.f64 -1 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(*.f64 -1 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(*.f64 -1 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 (*.f64 4 y) t))
(fma.f64 x x (.f64 t (.f64 y 4)))
(fma.f64 y (.f64 t 4) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 t 4)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 -4 (.f64 (*.f64 z z) y))
(.f64 y (.f64 (*.f64 z z) -4))
(.f64 -4 (.f64 z (*.f64 z y)))
(.f64 z (.f64 z (*.f64 -4 y)))
(.f64 (.f64 z z) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 -4 (.f64 (*.f64 z z) y))
(.f64 y (.f64 (*.f64 z z) -4))
(.f64 -4 (.f64 z (*.f64 z y)))
(.f64 z (.f64 z (*.f64 -4 y)))
(.f64 (.f64 z z) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(fma.f64 -4 (.f64 (.f64 z z) y) (*.f64 x x))
(fma.f64 x x (.f64 y (.f64 (*.f64 z z) -4)))
(fma.f64 (.f64 z z) (.f64 -4 y) (*.f64 x x))
(fma.f64 z (.f64 z (.f64 -4 y)) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 z (*.f64 z y))))
(fma.f64 x x (.f64 (.f64 z z) (*.f64 -4 y)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 4 (.f64 y t))
(.f64 (.f64 4 y) t)
(.f64 t (.f64 y 4))
(.f64 y (.f64 t 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 4 (.f64 y t))
(.f64 (.f64 4 y) t)
(.f64 t (.f64 y 4))
(.f64 y (.f64 t 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)

prune158.0ms (3.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	136	9	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	9	146

Error

2.9b

Counts

146 → 9

Alt Table

Status	Error	Program
	33.6b	(fma.f64 y (.f64 (fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
▶	3.6b	(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
	3.7b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
	16.1b	(fma.f64 x x (.f64 y (.f64 t 4)))
	23.6b	(fma.f64 y (.f64 (/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (fma.f64 z z t)) -4) (*.f64 x x))
	23.7b	(fma.f64 y (.f64 (.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (/.f64 1 (fma.f64 z z t))) -4) (.f64 x x))
	41.4b	(pow.f64 x 2)
	36.4b	(.f64 y (.f64 t 4))
	29.4b	(fma.f64 x x (.f64 (.f64 z z) (*.f64 -4 y)))

Compiler

Compiled 2899 to 1231 computations (57.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
✓	0.0b	(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
✓	0.0b	(.f64 4 (.f64 y t))
✓	7.4b	(*.f64 y (pow.f64 z 2))

series19.0ms (0.4%)

Counts

4 → 39

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(.f64 4 (.f64 y t))
1.0ms	y	@	0	(.f64 4 (.f64 y t))
1.0ms	y	@	0	(*.f64 y (pow.f64 z 2))
1.0ms	y	@	inf	(.f64 4 (.f64 y t))
1.0ms	x	@	0	(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))

rewrite75.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

291×	`log1p-udef_binary64`
172×	`add-sqr-sqrt_binary64`
169×	`pow1_binary64`
167×	`*-un-lft-identity_binary64`
162×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	349	46
2	4498	46

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

Inputs
(*.f64 y (pow.f64 z 2))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 z z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (.f64 z z))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 t 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 t 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 t 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sqrt.f64 (.f64 y t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 y t) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 y t) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 y t) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (*.f64 t 4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (.f64 y t) (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (+.f64 (.f64 x x) (.f64 -4 (.f64 y t)))) (/.f64 (.f64 (pow.f64 (.f64 y t) 2) 16) (+.f64 (.f64 x x) (.f64 -4 (.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 4 (.f64 y t) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 4 (.f64 y t) (.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 y t) (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 4 (.f64 y t) (.f64 x x))) 2) (cbrt.f64 (fma.f64 4 (.f64 y t) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x (.f64 2 (sqrt.f64 (.f64 y t)))) (hypot.f64 x (.f64 2 (sqrt.f64 (.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y t) 3) 64)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 y (.f64 t 4)) (-.f64 (.f64 y (.f64 t 4)) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 (.f64 y t) 2) 16)) (/.f64 1 (+.f64 (.f64 x x) (.f64 -4 (.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 y (.f64 t 4)) (-.f64 (.f64 y (.f64 t 4)) (.f64 x x)))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y t) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 x x) (.f64 -4 (.f64 y t))) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 (.f64 y t) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y t) 3) 64)) (+.f64 (pow.f64 x 4) (.f64 (.f64 y (.f64 t 4)) (-.f64 (.f64 y (.f64 t 4)) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y t) 3) 64)) (+.f64 (.f64 (pow.f64 (.f64 y t) 2) 16) (-.f64 (pow.f64 x 4) (.f64 (.f64 (.f64 x x) 4) (.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 (.f64 y t) 2) 16)) (+.f64 (.f64 x x) (.f64 -4 (.f64 y t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y t) 3) 64))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 y (.f64 t 4)) (-.f64 (.f64 y (.f64 t 4)) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 (.f64 y t) 2) 16))) (neg.f64 (+.f64 (.f64 x x) (.f64 -4 (.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (.f64 y t) 2) 16) (pow.f64 x 4)) (-.f64 (.f64 y (.f64 t 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (.f64 y t) (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (.f64 2 (sqrt.f64 (.f64 y t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (.f64 y t) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (.f64 y t) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (.f64 y t) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (.f64 y t) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (.f64 y t) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 4 (.f64 y t) (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (.f64 y t) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y t) 4 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (.f64 y (.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y (.f64 t 4)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (.f64 y (.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (.f64 y (.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 y t) 2) 16)) (cbrt.f64 (.f64 y (.f64 t 4))) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 (.f64 y t))) (.f64 2 (sqrt.f64 (.f64 y t))) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y 4) t (*.f64 x x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (.f64 y (.f64 z z)) 2) 16) (-.f64 (.f64 y (.f64 (.f64 z z) -4)) (fma.f64 4 (.f64 y t) (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 2) (-.f64 (.f64 y (.f64 (.f64 z z) -4)) (fma.f64 4 (.f64 y t) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x)))) 2) (cbrt.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 y (.f64 (.f64 z z) -4)) 3) (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 y (.f64 z z)) 2) 16) (.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) (-.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) (.f64 y (.f64 (.f64 z z) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (.f64 y (.f64 z z)) 2) 16) (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 2)) (/.f64 1 (-.f64 (.f64 y (.f64 (.f64 z z) -4)) (fma.f64 4 (.f64 y t) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 y (.f64 z z)) 2) 16) (.f64 (fma.f64 4 (.f64 y t) (.f64 x 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(.f64 y (.f64 (.f64 z z) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (.f64 y (.f64 z z)) 2) 16) (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 2)) (-.f64 (.f64 y (.f64 (.f64 z z) -4)) (fma.f64 4 (.f64 y t) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (.f64 (.f64 z z) -4)) 3) (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 y (.f64 z z)) 2) 16) (.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) (-.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) (.f64 y (.f64 (.f64 z z) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y (.f64 z z)) 2) 16) (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 2))) (neg.f64 (-.f64 (.f64 y (.f64 (.f64 z z) -4)) (fma.f64 4 (.f64 y t) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (.f64 x x)) 3) (.f64 (pow.f64 (.f64 y t) 3) 64)) (+.f64 (.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (.f64 x x)) (fma.f64 (.f64 y (.f64 z z)) -4 (.f64 x x))) (-.f64 (.f64 (pow.f64 (.f64 y t) 2) 16) (.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (.f64 x x)) (.f64 y (.f64 t 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) 2) (.f64 (pow.f64 (.f64 y (.f64 z z)) 2) 16)) (-.f64 (fma.f64 4 (.f64 y t) (.f64 x x)) (.f64 y (.f64 (.f64 z z) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (.f64 x x)) (fma.f64 (.f64 y (.f64 z z)) -4 (.f64 x x))) (.f64 (pow.f64 (.f64 y t) 2) 16)) (-.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (.f64 x x)) (.f64 y (.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 y (.f64 z z)) -4 (fma.f64 4 (.f64 y t) (.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 y (.f64 z 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simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1047×	`fma-neg_binary64`
500×	`fma-def_binary64`
371×	`distribute-rgt-neg-in_binary64`
317×	`cancel-sign-sub-inv_binary64`
261×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	492
1	81	488
2	209	488
3	468	467
4	1302	467
5	2721	467
6	4211	467

Stop Event

1×	node limit

Counts

145 → 123

Calls

Call 1

Inputs
(.f64 4 (.f64 y t))
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(.f64 4 (.f64 y t))
(.f64 4 (.f64 y t))
(pow.f64 x 2)
(.f64 4 (.f64 y t))
(.f64 4 (.f64 y t))
(pow.f64 x 2)
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t)))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(.f64 -1 (.f64 y (+.f64 (.f64 -4 t) (.f64 4 (pow.f64 z 2)))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y (+.f64 (.f64 -4 t) (.f64 4 (pow.f64 z 2))))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y (+.f64 (.f64 -4 t) (.f64 4 (pow.f64 z 2))))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y (+.f64 (.f64 -4 t) (.f64 4 (pow.f64 z 2))))))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(pow.f64 x 2)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y (pow.f64 z 2))))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 y t))

Outputs
(.f64 4 (.f64 y t))
(.f64 t (.f64 4 y))
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(.f64 4 (.f64 y t))
(.f64 t (.f64 4 y))
(.f64 4 (.f64 y t))
(.f64 t (.f64 4 y))
(pow.f64 x 2)
(*.f64 x x)
(.f64 4 (.f64 y t))
(.f64 t (.f64 4 y))
(.f64 4 (.f64 y t))
(.f64 t (.f64 4 y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t)))
(.f64 y (fma.f64 -4 (.f64 z z) (*.f64 4 t)))
(.f64 y (fma.f64 4 t (.f64 -4 (*.f64 z z))))
(.f64 y (fma.f64 4 t (.f64 z (*.f64 -4 z))))
(.f64 (.f64 y -4) (-.f64 (*.f64 z z) t))
(.f64 -4 (.f64 y (-.f64 (*.f64 z z) t)))
(.f64 4 (.f64 y (-.f64 t (*.f64 z z))))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (.f64 y (+.f64 (.f64 -4 (pow.f64 z 2)) (*.f64 4 t))) (pow.f64 x 2))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(.f64 -1 (.f64 y (+.f64 (.f64 -4 t) (.f64 4 (pow.f64 z 2)))))
(.f64 y (fma.f64 -4 (.f64 z z) (*.f64 4 t)))
(.f64 y (fma.f64 4 t (.f64 -4 (*.f64 z z))))
(.f64 y (fma.f64 4 t (.f64 z (*.f64 -4 z))))
(.f64 (.f64 y -4) (-.f64 (*.f64 z z) t))
(.f64 -4 (.f64 y (-.f64 (*.f64 z z) t)))
(.f64 4 (.f64 y (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y (+.f64 (.f64 -4 t) (.f64 4 (pow.f64 z 2))))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y (+.f64 (.f64 -4 t) (.f64 4 (pow.f64 z 2))))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y (+.f64 (.f64 -4 t) (.f64 4 (pow.f64 z 2))))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 4 (.f64 y t)) (*.f64 x x))
(fma.f64 x x (.f64 4 (.f64 y t)))
(fma.f64 4 (.f64 y t) (.f64 x x))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 -4 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -4 (*.f64 z z)))
(.f64 y (.f64 z (*.f64 -4 z)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 -4 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -4 (*.f64 z z)))
(.f64 y (.f64 z (*.f64 -4 z)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 y (fma.f64 -4 (.f64 z z) (*.f64 4 t)))
(.f64 y (fma.f64 4 t (.f64 -4 (*.f64 z z))))
(.f64 y (fma.f64 4 t (.f64 z (*.f64 -4 z))))
(.f64 (.f64 y -4) (-.f64 (*.f64 z z) t))
(.f64 -4 (.f64 y (-.f64 (*.f64 z z) t)))
(.f64 4 (.f64 y (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 y (fma.f64 -4 (.f64 z z) (.f64 4 t)) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 -4 (.f64 z z))) (*.f64 x x))
(fma.f64 y (fma.f64 4 t (.f64 z (.f64 -4 z))) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 y -4) (-.f64 (*.f64 z z) t)))
(fma.f64 (.f64 y -4) (-.f64 (.f64 z z) t) (*.f64 x x))
(fma.f64 4 (.f64 y (-.f64 t (.f64 z z))) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 x x) (.f64 -4 (.f64 y (.f64 z z))))
(fma.f64 x x (.f64 y (.f64 -4 (*.f64 z z))))
(fma.f64 y (.f64 z (.f64 -4 z)) (*.f64 x x))
(fma.f64 -4 (.f64 y (.f64 z z)) (*.f64 x x))
(.f64 4 (.f64 y t))
(.f64 t (.f64 4 y))
(.f64 4 (.f64 y t))
(.f64 t (.f64 4 y))

prune162.0ms (3.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	124	8	132

Error

0.0b

Counts

132 → 8

Alt Table

Status	Error	Program
✓	3.6b	(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
	3.8b	(+.f64 (.f64 -4 (pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 3)) (+.f64 (pow.f64 x 2) (.f64 4 (*.f64 y t))))
▶	3.7b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
	16.1b	(fma.f64 x x (.f64 y (.f64 t 4)))
	31.1b	(fma.f64 (.f64 (sqrt.f64 (.f64 y -4)) z) (.f64 (sqrt.f64 (.f64 y -4)) z) (fma.f64 4 (.f64 y t) (.f64 x x)))
	23.7b	(fma.f64 y (.f64 (.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (/.f64 1 (fma.f64 z z t))) -4) (.f64 x x))
	29.4b	(fma.f64 x x (.f64 (.f64 z z) (*.f64 -4 y)))
	33.1b	(+.f64 (.f64 -4 (pow.f64 (.f64 z (sqrt.f64 y)) 2)) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))

Compiler

Compiled 3188 to 1744 computations (45.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 z) z)
✓	0.6b	(cbrt.f64 z)
✓	3.3b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
✓	23.9b	(cbrt.f64 (*.f64 z z))

series18.0ms (0.4%)

Counts

4 → 39

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
2.0ms	y	@	0	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
2.0ms	z	@	-inf	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
2.0ms	x	@	0	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
2.0ms	t	@	0	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

400×	`prod-diff_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
164×	`fma-def_binary64`
146×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	297	32
2	3473	30

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 z z))
(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
(cbrt.f64 z)
(*.f64 (cbrt.f64 z) z)

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

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
484×	`unswap-sqr_binary64`
347×	`distribute-rgt-neg-in_binary64`
308×	`associate-l_binary64`
263×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	577
1	53	571
2	125	571
3	271	571
4	605	571
5	1468	571
6	2663	571

Stop Event

1×	node limit

Counts

128 → 103

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(fma.f64 -4 (.f64 (.f64 z z) y) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 z z) (*.f64 -4 y)))
(fma.f64 (.f64 z z) (.f64 -4 y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 z (*.f64 z y))))
(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 (.f64 4 t) y)
(.f64 t (.f64 y 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 (.f64 4 t) y)
(.f64 t (.f64 y 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))

prune206.0ms (4.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	105	6	111

Error

0.0b

Counts

111 → 6

Alt Table

Status	Error	Program
✓	3.7b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
	31.1b	(fma.f64 (.f64 (sqrt.f64 (.f64 y -4)) z) (.f64 (sqrt.f64 (.f64 y -4)) z) (fma.f64 4 (.f64 y t) (.f64 x x)))
✓	3.6b	(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
	26.0b	(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))
▶	3.6b	(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
	33.1b	(+.f64 (.f64 -4 (pow.f64 (.f64 z (sqrt.f64 y)) 2)) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))

Compiler

Compiled 2127 to 950 computations (55.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
✓	0.0b	(-.f64 t (*.f64 z z))
✓	3.4b	(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))

series16.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	t	@	0	(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
1.0ms	y	@	-inf	(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
1.0ms	y	@	0	(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
1.0ms	y	@	inf	(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
1.0ms	x	@	0	(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))

rewrite69.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`prod-diff_binary64`
241×	`fma-def_binary64`
208×	`expm1-udef_binary64`
208×	`log1p-udef_binary64`
119×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	234	37
2	3008	37

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(-.f64 t (*.f64 z z))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 y 4)) (*.f64 (*.f64 z (neg.f64 z)) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 4) t) (*.f64 (*.f64 y 4) (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 4) (-.f64 (pow.f64 t 3) (pow.f64 z 6))) (fma.f64 t t (*.f64 (*.f64 z z) (fma.f64 z z t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 4) (fma.f64 t t (neg.f64 (pow.f64 z 4)))) (fma.f64 z z t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 4 (-.f64 t (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 4 (-.f64 t (*.f64 z z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 4 (-.f64 t (*.f64 z z))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 t (*.f64 z z)) (*.f64 y 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 y 4) (*.f64 (*.f64 z (neg.f64 z)) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y 4) t (*.f64 (*.f64 y 4) (*.f64 z (neg.f64 z))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 t (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 t (*.f64 (*.f64 z (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 t (*.f64 z z)) (fma.f64 (neg.f64 z) z (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 t (*.f64 z z)) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 t (*.f64 z z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 t (*.f64 z z)) (fma.f64 -1 (*.f64 z z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 t (*.f64 z z)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) 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simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def_binary64`
595×	`fma-neg_binary64`
524×	`unswap-sqr_binary64`
419×	`unsub-neg_binary64`
208×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	1314
1	61	1310
2	143	1310
3	334	1310
4	838	1310
5	1480	1310
6	2379	1310
7	3972	1310

Stop Event

1×	node limit

Counts

253 → 167

Calls

Call 1

Inputs
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 y t))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 y t))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 y t))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
t
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
t
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
t
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))

Outputs
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 (.f64 -4 y) (*.f64 z z))
(.f64 (.f64 z z) (*.f64 y -4))
(.f64 z (.f64 z (*.f64 y -4)))
(.f64 z (.f64 y (*.f64 z -4)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 t (.f64 4 y))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 t (.f64 4 y))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 t (.f64 4 y))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 (.f64 -4 y) (*.f64 z z))
(.f64 (.f64 z z) (*.f64 y -4))
(.f64 z (.f64 z (*.f64 y -4)))
(.f64 z (.f64 y (*.f64 z -4)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 (.f64 -4 y) (*.f64 z z))
(.f64 (.f64 z z) (*.f64 y -4))
(.f64 z (.f64 z (*.f64 y -4)))
(.f64 z (.f64 y (*.f64 z -4)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t)))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(*.f64 -1 (pow.f64 z 2))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
t
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
t
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
t
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(*.f64 -1 (pow.f64 z 2))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(*.f64 -1 (pow.f64 z 2))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(+.f64 t (*.f64 -1 (pow.f64 z 2)))
(-.f64 t (*.f64 z z))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y))
(.f64 4 (.f64 (-.f64 t (*.f64 z z)) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 y -4))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 4 (.f64 (-.f64 t (pow.f64 z 2)) y)) (pow.f64 x 2))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 (.f64 -4 y) (.f64 z z)) (.f64 x x))
(fma.f64 -4 (.f64 z (.f64 z y)) (*.f64 x x))
(fma.f64 (.f64 z z) (.f64 y -4) (*.f64 x x))
(fma.f64 z (.f64 z (.f64 y -4)) (*.f64 x x))
(fma.f64 z (.f64 y (.f64 z -4)) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 t (.f64 4 y))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 t (.f64 4 y))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 4 (.f64 t y)) (*.f64 x x))
(fma.f64 4 (.f64 t y) (.f64 x x))
(fma.f64 y (.f64 4 t) (.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 (.f64 -4 y) (*.f64 z z))
(.f64 (.f64 z z) (*.f64 y -4))
(.f64 z (.f64 z (*.f64 y -4)))
(.f64 z (.f64 y (*.f64 z -4)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 (.f64 -4 y) (*.f64 z z))
(.f64 (.f64 z z) (*.f64 y -4))
(.f64 z (.f64 z (*.f64 y -4)))
(.f64 z (.f64 y (*.f64 z -4)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 4 (.f64 (-.f64 t (.f64 z z)) y) (*.f64 x x))

prune179.0ms (3.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	167	6	173

Error

0.0b

Counts

173 → 6

Alt Table

Status	Error	Program
✓	3.7b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
	31.1b	(fma.f64 (.f64 (sqrt.f64 (.f64 y -4)) z) (.f64 (sqrt.f64 (.f64 y -4)) z) (fma.f64 4 (.f64 y t) (.f64 x x)))
✓	3.6b	(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
	26.0b	(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))
✓	3.6b	(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
	4.3b	(fma.f64 x x (pow.f64 (cbrt.f64 (.f64 (-.f64 t (.f64 z z)) (*.f64 y 4))) 3))

Compiler

Compiled 3654 to 1486 computations (59.3% saved)

regimes715.0ms (15.6%)

Accuracy

Total -47.3b remaining (-39962.3%)

Threshold costs -47.3b (-39962.3%)

Counts

48 → 2

Compiler

Compiled 752 to 397 computations (47.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Calls

1 calls:

0.0ms

(*.f64 z z)

Steps

Iters	Point		Range
2e+279	∈ [	1.3941095757074166e+279	,	9.219187373270171e+285	]

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	46
1	32	46

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 z z) 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136) (fma.f64 x x (+.f64 (*.f64 -4 (*.f64 y (pow.f64 z 2))) (*.f64 4 (*.f64 y t)))) (fma.f64 x x (*.f64 z (*.f64 z (*.f64 -4 y)))))

Outputs

(if (<=.f64 (*.f64 z z) 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136) (fma.f64 x x (+.f64 (*.f64 -4 (*.f64 y (pow.f64 z 2))) (*.f64 4 (*.f64 y t)))) (fma.f64 x x (*.f64 z (*.f64 z (*.f64 -4 y)))))

end85.0ms (1.8%)

Stop Event

1×

fuel

Compiler

Compiled 165 to 94 computations (43% saved)

Details

analyze1.1s (23.2%)

sample1.4s (29.9%)

preprocess37.0ms (0.8%)

simplify46.0ms (1%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series10.0ms (0.2%)

rewrite54.0ms (1.2%)

simplify47.0ms (1%)

prune158.0ms (3.4%)

localize10.0ms (0.2%)

series19.0ms (0.4%)

rewrite75.0ms (1.6%)

simplify49.0ms (1.1%)

prune162.0ms (3.5%)

localize13.0ms (0.3%)

series18.0ms (0.4%)

rewrite53.0ms (1.1%)

simplify41.0ms (0.9%)

prune206.0ms (4.5%)

localize8.0ms (0.2%)

series16.0ms (0.4%)

rewrite69.0ms (1.5%)

simplify70.0ms (1.5%)

prune179.0ms (3.9%)

regimes715.0ms (15.6%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end85.0ms (1.8%)

Profiling