Details

analyze737.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
0%	0%	99.7%	0.3%	0%	0%	0%	7
0%	0%	99.7%	0.3%	0%	0%	0%	8
0%	0%	99.7%	0.3%	0%	0%	0%	9
0%	0%	99.7%	0.3%	0%	0%	0%	10
0%	0%	99.7%	0.3%	0%	0%	0%	11
0%	0%	99.7%	0.3%	0%	0%	0%	12

Compiler

Compiled 28 to 20 computations (28.6% saved)

sample2.8s (7.3%)

Results

1.7s	8254×	body	256	valid
1.1s	4719×	body	256	infinite
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess70.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

853×	`sub-neg_binary64`
619×	`fma-neg_binary64`
567×	`fma-def_binary64`
428×	`associate-+l+_binary64`
390×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	496
1	369	432
2	1332	400
3	7029	400
0	6	6

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
4
5

Call 2

Inputs
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (-.f64 (-.f64 y (.f64 (-.f64 x 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 x t) 2) b))
(+.f64 (-.f64 (-.f64 z (.f64 (-.f64 y 1) x)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (-.f64 (-.f64 t (.f64 (-.f64 y 1) z)) (.f64 (-.f64 x 1) a)) (*.f64 (-.f64 (+.f64 y x) 2) b))
(+.f64 (-.f64 (-.f64 a (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) x)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (-.f64 (-.f64 b (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) x))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 z 1) y)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 z t) 2) b))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 t 1) z)) (.f64 (-.f64 y 1) a)) (*.f64 (-.f64 (+.f64 t y) 2) b))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 a 1) z)) (.f64 (-.f64 t 1) y)) (*.f64 (-.f64 (+.f64 a t) 2) b))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 b 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 b t) 2) y))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) t)) (.f64 (-.f64 z 1) a)) (*.f64 (-.f64 (+.f64 y z) 2) b))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) a)) (.f64 (-.f64 t 1) z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) b)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) z))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 a 1) t)) (*.f64 (-.f64 (+.f64 y a) 2) b))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 b 1) a)) (*.f64 (-.f64 (+.f64 y b) 2) t))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) b)) (*.f64 (-.f64 (+.f64 y t) 2) a))

Outputs
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y -1) z) (.f64 (+.f64 t -1) a))) (*.f64 (+.f64 y (-.f64 t 2)) b))
(fma.f64 (-.f64 (+.f64 y t) 2) b (-.f64 x (fma.f64 (+.f64 y -1) z (*.f64 (+.f64 t -1) a))))
(fma.f64 (+.f64 t (-.f64 y 2)) b (fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x)))
(+.f64 (-.f64 (-.f64 y (.f64 (-.f64 x 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 x t) 2) b))
(+.f64 (-.f64 y (+.f64 (.f64 z (+.f64 x -1)) (.f64 (+.f64 t -1) a))) (*.f64 b (+.f64 x (-.f64 t 2))))
(fma.f64 b (+.f64 x (+.f64 t -2)) (-.f64 y (fma.f64 z (+.f64 x -1) (*.f64 (+.f64 t -1) a))))
(fma.f64 b (+.f64 x (+.f64 t -2)) (fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 x) y)))
(+.f64 (-.f64 (-.f64 z (.f64 (-.f64 y 1) x)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 (+.f64 y (-.f64 t 2)) b) (-.f64 z (+.f64 (.f64 x (+.f64 y -1)) (*.f64 (+.f64 t -1) a))))
(fma.f64 (-.f64 (+.f64 y t) 2) b (-.f64 z (fma.f64 x (+.f64 y -1) (*.f64 (+.f64 t -1) a))))
(fma.f64 (+.f64 t (-.f64 y 2)) b (fma.f64 a (-.f64 1 t) (fma.f64 x (-.f64 1 y) z)))
(+.f64 (-.f64 (-.f64 t (.f64 (-.f64 y 1) z)) (.f64 (-.f64 x 1) a)) (*.f64 (-.f64 (+.f64 y x) 2) b))
(+.f64 (-.f64 (-.f64 t (.f64 (+.f64 y -1) z)) (.f64 a (+.f64 x -1))) (*.f64 b (+.f64 y (-.f64 x 2))))
(fma.f64 b (+.f64 x (+.f64 y -2)) (-.f64 t (fma.f64 (+.f64 y -1) z (*.f64 a (+.f64 x -1)))))
(fma.f64 b (+.f64 x (-.f64 y 2)) (fma.f64 a (-.f64 1 x) (fma.f64 z (-.f64 1 y) t)))
(+.f64 (-.f64 (-.f64 a (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) x)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 (+.f64 y (-.f64 t 2)) b) (-.f64 a (+.f64 (.f64 (+.f64 y -1) z) (*.f64 x (+.f64 t -1)))))
(fma.f64 (-.f64 (+.f64 y t) 2) b (-.f64 a (fma.f64 (+.f64 y -1) z (*.f64 x (+.f64 t -1)))))
(fma.f64 (+.f64 t (-.f64 y 2)) b (fma.f64 x (-.f64 1 t) (fma.f64 z (-.f64 1 y) a)))
(+.f64 (-.f64 (-.f64 b (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) x))
(+.f64 (-.f64 b (+.f64 (.f64 (+.f64 y -1) z) (.f64 (+.f64 t -1) a))) (*.f64 x (+.f64 y (-.f64 t 2))))
(fma.f64 x (-.f64 (+.f64 y t) 2) (-.f64 b (fma.f64 (+.f64 y -1) z (*.f64 (+.f64 t -1) a))))
(fma.f64 x (+.f64 t (-.f64 y 2)) (fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) b)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 z 1) y)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 z t) 2) b))
(+.f64 (-.f64 x (+.f64 (.f64 y (+.f64 z -1)) (.f64 (+.f64 t -1) a))) (*.f64 b (+.f64 z (-.f64 t 2))))
(fma.f64 b (+.f64 t (+.f64 z -2)) (-.f64 x (fma.f64 y (+.f64 z -1) (*.f64 (+.f64 t -1) a))))
(fma.f64 b (+.f64 z (+.f64 t -2)) (fma.f64 a (-.f64 1 t) (fma.f64 y (-.f64 1 z) x)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 t 1) z)) (.f64 (-.f64 y 1) a)) (*.f64 (-.f64 (+.f64 t y) 2) b))
(+.f64 (.f64 (+.f64 y (-.f64 t 2)) b) (-.f64 (-.f64 x (.f64 z (+.f64 t -1))) (*.f64 (+.f64 y -1) a)))
(fma.f64 (-.f64 (+.f64 y t) 2) b (-.f64 x (fma.f64 (+.f64 y -1) a (*.f64 z (+.f64 t -1)))))
(fma.f64 (+.f64 t (-.f64 y 2)) b (fma.f64 z (-.f64 1 t) (fma.f64 a (-.f64 1 y) x)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 a 1) z)) (.f64 (-.f64 t 1) y)) (*.f64 (-.f64 (+.f64 a t) 2) b))
(+.f64 (-.f64 x (+.f64 (.f64 z (+.f64 a -1)) (.f64 y (+.f64 t -1)))) (*.f64 b (+.f64 a (-.f64 t 2))))
(fma.f64 b (+.f64 t (+.f64 a -2)) (-.f64 x (fma.f64 z (+.f64 a -1) (*.f64 y (+.f64 t -1)))))
(fma.f64 b (+.f64 t (+.f64 a -2)) (fma.f64 y (-.f64 1 t) (fma.f64 z (-.f64 1 a) x)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 b 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 b t) 2) y))
(+.f64 (-.f64 x (+.f64 (.f64 z (+.f64 b -1)) (.f64 (+.f64 t -1) a))) (*.f64 y (+.f64 b (-.f64 t 2))))
(fma.f64 y (+.f64 t (-.f64 b 2)) (-.f64 x (fma.f64 z (+.f64 b -1) (*.f64 (+.f64 t -1) a))))
(fma.f64 y (+.f64 t (-.f64 b 2)) (fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 b) x)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) t)) (.f64 (-.f64 z 1) a)) (*.f64 (-.f64 (+.f64 y z) 2) b))
(+.f64 (-.f64 (-.f64 x (.f64 (+.f64 y -1) t)) (.f64 a (+.f64 z -1))) (*.f64 b (+.f64 y (-.f64 z 2))))
(fma.f64 b (+.f64 y (+.f64 z -2)) (-.f64 x (fma.f64 (+.f64 y -1) t (*.f64 a (+.f64 z -1)))))
(fma.f64 b (+.f64 y (+.f64 z -2)) (fma.f64 a (-.f64 1 z) (fma.f64 t (-.f64 1 y) x)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) a)) (.f64 (-.f64 t 1) z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 (+.f64 y (-.f64 t 2)) b) (-.f64 (-.f64 x (.f64 z (+.f64 t -1))) (*.f64 (+.f64 y -1) a)))
(fma.f64 (-.f64 (+.f64 y t) 2) b (-.f64 x (fma.f64 (+.f64 y -1) a (*.f64 z (+.f64 t -1)))))
(fma.f64 (+.f64 t (-.f64 y 2)) b (fma.f64 z (-.f64 1 t) (fma.f64 a (-.f64 1 y) x)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) b)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) z))
(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y -1) b) (.f64 (+.f64 t -1) a))) (*.f64 z (+.f64 y (-.f64 t 2))))
(fma.f64 z (-.f64 (+.f64 y t) 2) (-.f64 x (fma.f64 (+.f64 y -1) b (*.f64 (+.f64 t -1) a))))
(fma.f64 z (+.f64 t (-.f64 y 2)) (fma.f64 a (-.f64 1 t) (fma.f64 b (-.f64 1 y) x)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 a 1) t)) (*.f64 (-.f64 (+.f64 y a) 2) b))
(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y -1) z) (.f64 t (+.f64 a -1)))) (*.f64 b (+.f64 y (-.f64 a 2))))
(fma.f64 b (+.f64 y (+.f64 a -2)) (-.f64 x (fma.f64 (+.f64 y -1) z (*.f64 t (+.f64 a -1)))))
(fma.f64 b (+.f64 a (-.f64 y 2)) (fma.f64 t (-.f64 1 a) (fma.f64 z (-.f64 1 y) x)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 b 1) a)) (*.f64 (-.f64 (+.f64 y b) 2) t))
(+.f64 (-.f64 (-.f64 x (.f64 (+.f64 y -1) z)) (.f64 a (+.f64 b -1))) (*.f64 t (+.f64 y (-.f64 b 2))))
(fma.f64 t (+.f64 y (-.f64 b 2)) (-.f64 x (fma.f64 (+.f64 y -1) z (*.f64 a (+.f64 b -1)))))
(fma.f64 t (+.f64 y (-.f64 b 2)) (fma.f64 a (-.f64 1 b) (fma.f64 z (-.f64 1 y) x)))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) b)) (*.f64 (-.f64 (+.f64 y t) 2) a))
(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y -1) z) (.f64 (+.f64 t -1) b))) (*.f64 a (+.f64 y (-.f64 t 2))))
(fma.f64 a (-.f64 (+.f64 y t) 2) (-.f64 x (fma.f64 (+.f64 y -1) z (*.f64 (+.f64 t -1) b))))
(fma.f64 a (+.f64 t (-.f64 y 2)) (fma.f64 b (-.f64 1 t) (fma.f64 z (-.f64 1 y) x)))

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

494×	`fma-neg_binary64`
471×	`distribute-neg-in_binary64`
457×	`associate--l-_binary64`
369×	`associate--r-_binary64`
344×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	49	27
2	145	25
3	616	25
4	2231	25
5	5563	25
6	7040	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))

Outputs
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(-.f64 (-.f64 x (.f64 (+.f64 y -1) z)) (-.f64 (.f64 (+.f64 t -1) a) (*.f64 (+.f64 y (-.f64 t 2)) b)))
(fma.f64 (+.f64 t (-.f64 y 2)) b (-.f64 x (fma.f64 (-.f64 y 1) z (*.f64 (+.f64 t -1) a))))
(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x)))
(fma.f64 a (-.f64 1 t) (fma.f64 (+.f64 (+.f64 y t) -2) b (fma.f64 z (-.f64 1 y) x)))
(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

eval2.0ms (0%)

Compiler: Compiled 45 to 29 computations (35.6% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
▶	0.0b	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

Compiler

Compiled 51 to 35 computations (31.4% saved)

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
✓	0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
✓	0.0b	(*.f64 (-.f64 y 1) z)
✓	0.0b	(*.f64 (-.f64 t 1) a)

Compiler

Compiled 86 to 48 computations (44.2% saved)

series35.0ms (0.1%)

Counts

4 → 120

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
2.0ms	t	@	inf	(*.f64 (-.f64 (+.f64 y t) 2) b)
2.0ms	z	@	inf	(*.f64 (-.f64 y 1) z)
1.0ms	a	@	inf	(*.f64 (-.f64 t 1) a)
1.0ms	t	@	-inf	(*.f64 (-.f64 t 1) a)

rewrite130.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`fma-neg_binary64`
382×	`expm1-udef_binary64`
382×	`log1p-udef_binary64`
227×	`add-sqr-sqrt_binary64`
221×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	422	41
2	6229	41

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

Inputs
(*.f64 (-.f64 t 1) a)
(*.f64 (-.f64 y 1) z)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))

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

simplify459.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2214×	`fma-neg_binary64`
529×	`fma-def_binary64`
467×	`sub-neg_binary64`
422×	`unsub-neg_binary64`
345×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	1369
1	179	1321
2	445	1223
3	1215	1223
4	3233	1223
5	3811	1223
6	4414	1223
7	4842	1223
8	4986	1223
9	5019	1223
10	5432	1223
11	5561	1223
12	5701	1223
13	5757	1223
14	5757	1223
15	7826	1223
16	7826	1223
17	7826	1223

Stop Event

1×

saturated

Counts

238 → 168

Calls

Call 1

Inputs
(*.f64 -1 a)
(+.f64 (.f64 a t) (.f64 -1 a))
(+.f64 (.f64 a t) (.f64 -1 a))
(+.f64 (.f64 a t) (.f64 -1 a))
(*.f64 a t)
(+.f64 (.f64 a t) (.f64 -1 a))
(+.f64 (.f64 a t) (.f64 -1 a))
(+.f64 (.f64 a t) (.f64 -1 a))
(*.f64 a t)
(+.f64 (.f64 a t) (.f64 -1 a))
(+.f64 (.f64 a t) (.f64 -1 a))
(+.f64 (.f64 a t) (.f64 -1 a))
(*.f64 -1 z)
(+.f64 (.f64 y z) (.f64 -1 z))
(+.f64 (.f64 y z) (.f64 -1 z))
(+.f64 (.f64 y z) (.f64 -1 z))
(*.f64 y z)
(+.f64 (.f64 -1 z) (.f64 y z))
(+.f64 (.f64 -1 z) (.f64 y z))
(+.f64 (.f64 -1 z) (.f64 y z))
(*.f64 y z)
(+.f64 (.f64 -1 z) (.f64 y z))
(+.f64 (.f64 -1 z) (.f64 y z))
(+.f64 (.f64 -1 z) (.f64 y z))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 b (-.f64 t 2))
(+.f64 (.f64 y b) (.f64 b (-.f64 t 2)))
(+.f64 (.f64 y b) (.f64 b (-.f64 t 2)))
(+.f64 (.f64 y b) (.f64 b (-.f64 t 2)))
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 (-.f64 t 2) b))
(+.f64 (.f64 y b) (.f64 (-.f64 t 2) b))
(+.f64 (.f64 y b) (.f64 (-.f64 t 2) b))
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 (-.f64 t 2) b))
(+.f64 (.f64 y b) (.f64 (-.f64 t 2) b))
(+.f64 (.f64 y b) (.f64 (-.f64 t 2) b))
(*.f64 (-.f64 y 2) b)
(+.f64 (.f64 t b) (.f64 (-.f64 y 2) b))
(+.f64 (.f64 t b) (.f64 (-.f64 y 2) b))
(+.f64 (.f64 t b) (.f64 (-.f64 y 2) b))
(*.f64 t b)
(+.f64 (.f64 t b) (.f64 (-.f64 y 2) b))
(+.f64 (.f64 t b) (.f64 (-.f64 y 2) b))
(+.f64 (.f64 t b) (.f64 (-.f64 y 2) b))
(*.f64 t b)
(+.f64 (.f64 t b) (.f64 (-.f64 y 2) b))
(+.f64 (.f64 t b) (.f64 (-.f64 y 2) b))
(+.f64 (.f64 t b) (.f64 (-.f64 y 2) b))
(.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1))))
(+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1)))) x)
(+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1)))) x)
(+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1)))) x)
x
(+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1)))) x)
(+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1)))) x)
(+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1)))) x)
x
(+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1)))) x)
(+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1)))) x)
(+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 t 1) a) (*.f64 z (-.f64 y 1)))) x)
(-.f64 x (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) x) (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) x) (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) x) (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) x) (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) x) (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) x) (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) x) (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) x) (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) x) (+.f64 (.f64 -1 z) (.f64 (-.f64 t 1) a)))
(-.f64 x (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(*.f64 z (-.f64 1 y))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(.f64 -1 (.f64 z (-.f64 y 1)))
(-.f64 (+.f64 (.f64 -1 (.f64 z (-.f64 y 1))) x) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 z (-.f64 y 1))) x) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 z (-.f64 y 1))) x) (*.f64 (-.f64 t 1) a))
(-.f64 x (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) x) (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) x) (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) x) (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(.f64 -1 (.f64 a t))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) x) (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) x) (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) x) (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(.f64 -1 (.f64 a t))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) x) (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) x) (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) x) (+.f64 (.f64 z (-.f64 y 1)) (.f64 -1 a)))
(-.f64 x (*.f64 z (-.f64 y 1)))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) x) (.f64 z (-.f64 y 1)))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) x) (.f64 z (-.f64 y 1)))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) x) (.f64 z (-.f64 y 1)))
(*.f64 a (-.f64 1 t))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) x) (.f64 z (-.f64 y 1)))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) x) (.f64 z (-.f64 y 1)))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) x) (.f64 z (-.f64 y 1)))
(.f64 -1 (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 t 1) a)) x) (*.f64 z (-.f64 y 1)))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 t 1) a)) x) (*.f64 z (-.f64 y 1)))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 t 1) a)) x) (*.f64 z (-.f64 y 1)))

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

localize51.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
✓	0.0b	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
✓	0.0b	(fma.f64 a (-.f64 1 t) x)

Compiler

Compiled 63 to 36 computations (42.9% saved)

series32.0ms (0.1%)

Counts

3 → 168

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
1.0ms	z	@	0	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
1.0ms	y	@	0	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
1.0ms	b	@	inf	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
1.0ms	a	@	0	(fma.f64 a (-.f64 1 t) x)

rewrite116.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`log-prod_binary64`
507×	`fma-def_binary64`
328×	`expm1-udef_binary64`
326×	`log1p-udef_binary64`
289×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	351	48
2	4732	48

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(fma.f64 a (-.f64 1 t) x)
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

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

Outputs

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

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

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

simplify199.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

670×	`associate--r-_binary64`
587×	`sub-neg_binary64`
456×	`associate-+l+_binary64`
437×	`fma-def_binary64`
396×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	2636
1	262	2576
2	754	2574
3	2490	2574
4	4020	2574
5	7313	2574

Stop Event

1×	node limit

Counts

257 → 141

Calls

Call 1

Inputs
x
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(*.f64 a (-.f64 1 t))
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(*.f64 a (-.f64 1 t))
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 a x)
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) x))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) x))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) x))
(.f64 -1 (.f64 a t))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) x))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) x))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) x))
(.f64 -1 (.f64 a t))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) x))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) x))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) x))
(*.f64 a (-.f64 1 t))
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
x
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
x
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (*.f64 z (-.f64 1 y)) x)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(*.f64 a (-.f64 1 t))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(*.f64 a (-.f64 1 t))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 a (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(.f64 -1 (.f64 a t))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(.f64 -1 (.f64 a t))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (.f64 z (-.f64 1 y)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
x
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
x
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))))
(.f64 (+.f64 (.f64 -1 z) b) y)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 (.f64 b (-.f64 t 2)) x))))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(.f64 t (+.f64 b (.f64 -1 a)))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(.f64 -1 (.f64 (+.f64 a (*.f64 -1 b)) t))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (+.f64 (*.f64 (-.f64 y 2) b) x))))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (+.f64 (*.f64 (-.f64 y 2) b) x))))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (+.f64 (*.f64 (-.f64 y 2) b) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 a (-.f64 1 t))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 a (-.f64 1 t))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (*.f64 (-.f64 (+.f64 y t) 2) b)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
x
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
x
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))

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

eval364.0ms (0.9%)

Compiler: Compiled 7363 to 4404 computations (40.2% saved)

prune165.0ms (0.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	295	14	309
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	297	14	311

Error

Counts

311 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
	37.0b	(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
▶	51.2b	(*.f64 t (-.f64 b a))
▶	0.0b	(+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
	12.5b	(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
	27.2b	(+.f64 (.f64 z (-.f64 1 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
	0.0b	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))
	14.3b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 y b))
	50.8b	(*.f64 y (-.f64 b z))
	43.4b	(*.f64 (-.f64 (+.f64 y t) 2) b)
	38.4b	(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
▶	30.1b	(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
▶	12.7b	(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))
	13.6b	(+.f64 x (fma.f64 y (-.f64 b z) (fma.f64 b (-.f64 t 2) z)))

Compiler

Compiled 520 to 368 computations (29.2% saved)

localize74.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a))
	0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
	0.0b	(*.f64 (-.f64 t 1) a)
✓	0.0b	(-.f64 (*.f64 z y) z)

Compiler

Compiled 86 to 34 computations (60.5% saved)

series16.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(-.f64 (*.f64 z y) z)
1.0ms	z	@	-inf	(-.f64 (*.f64 z y) z)
1.0ms	z	@	inf	(-.f64 (*.f64 z y) z)
1.0ms	x	@	0	(-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a))
1.0ms	t	@	0	(-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a))

rewrite94.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`log-prod_binary64`
483×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
220×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	302	26
2	4594	26

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

Inputs
(-.f64 (*.f64 z y) z)
(-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (+.f64 (-.f64 (*.f64 z y) z) (*.f64 (+.f64 t -1) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (neg.f64 (-.f64 (*.f64 z y) z)) (*.f64 (+.f64 t -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (neg.f64 (-.f64 (*.f64 z y) z)) (*.f64 (+.f64 t -1) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 z (-.f64 x (*.f64 z y))) (*.f64 (+.f64 t -1) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 z (-.f64 x (*.f64 z y))) (*.f64 (*.f64 (+.f64 t -1) (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 x (*.f64 z y)) (-.f64 z (*.f64 (+.f64 t -1) a))) (fma.f64 (*.f64 (+.f64 t -1) (neg.f64 a)) 1 (*.f64 (+.f64 t -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 x (*.f64 z y)) (-.f64 z (*.f64 (+.f64 t -1) a))) (fma.f64 (neg.f64 a) (+.f64 t -1) (*.f64 (+.f64 t -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 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simplify333.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1862×	`fma-neg_binary64`
403×	`sub-neg_binary64`
363×	`fma-def_binary64`
333×	`associate-+l-_binary64`
327×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	1037
1	165	943
2	396	939
3	936	939
4	2355	939
5	2930	939
6	3463	939
7	3668	939
8	3691	939
9	3691	939
10	5627	939
11	5699	939
12	5699	939
13	5699	939
14	5837	939
15	5837	939

Stop Event

1×

saturated

Counts

222 → 175

Calls

Call 1

Inputs
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(*.f64 z (-.f64 y 1))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) z))
(*.f64 -1 z)
(+.f64 (.f64 y z) (.f64 -1 z))
(+.f64 (.f64 y z) (.f64 -1 z))
(+.f64 (.f64 y z) (.f64 -1 z))
(*.f64 y z)
(+.f64 (.f64 -1 z) (.f64 y z))
(+.f64 (.f64 -1 z) (.f64 y z))
(+.f64 (.f64 -1 z) (.f64 y z))
(*.f64 y z)
(+.f64 (.f64 -1 z) (.f64 y z))
(+.f64 (.f64 -1 z) (.f64 y z))
(+.f64 (.f64 -1 z) (.f64 y z))
(-.f64 z (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
x
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
x
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 x (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(*.f64 z (-.f64 1 y))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(.f64 (+.f64 1 (.f64 -1 y)) z)
(-.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 y)) z) x) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 y)) z) x) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 y)) z) x) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(.f64 -1 (.f64 a t))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(.f64 -1 (.f64 a t))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (*.f64 y z))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(*.f64 a (-.f64 1 t))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(.f64 -1 (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 t 1) a)) (+.f64 z x)) (*.f64 y z))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 t 1) a)) (+.f64 z x)) (*.f64 y z))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 t 1) a)) (+.f64 z x)) (*.f64 y z))

Outputs
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 y z) (.f64 -1 z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(+.f64 (.f64 y z) (.f64 -1 z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(+.f64 (.f64 y z) (.f64 -1 z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 -1 z) (.f64 y z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(+.f64 (.f64 -1 z) (.f64 y z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(+.f64 (.f64 -1 z) (.f64 y z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 -1 z) (.f64 y z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(+.f64 (.f64 -1 z) (.f64 y z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(+.f64 (.f64 -1 z) (.f64 y z))
(*.f64 z (-.f64 y 1))
(-.f64 (*.f64 z y) z)
(-.f64 z (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 z (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(-.f64 z (fma.f64 z y (*.f64 (-.f64 t 1) a)))
(-.f64 z (fma.f64 z y (-.f64 (*.f64 t a) a)))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
x
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
x
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 (-.f64 t 1) a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 x (*.f64 (-.f64 t 1) a))
(+.f64 x (*.f64 a (-.f64 1 t)))
(fma.f64 a (-.f64 1 t) x)
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 z (-.f64 1 y)) x) (.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(.f64 (+.f64 1 (.f64 -1 y)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(-.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 y)) z) x) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 y)) z) x) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 y)) z) x) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 z x) (*.f64 (-.f64 t 1) a))
(+.f64 x (fma.f64 a (-.f64 1 t) z))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(.f64 -1 (.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(.f64 -1 (.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 z x)) (*.f64 (-.f64 t 1) a))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 z x) (+.f64 (.f64 y z) (.f64 -1 a)))
(+.f64 z (-.f64 x (fma.f64 y z (neg.f64 a))))
(+.f64 z (-.f64 x (-.f64 (*.f64 z y) a)))
(+.f64 a (fma.f64 z (-.f64 1 y) x))
(+.f64 x (fma.f64 z (-.f64 1 y) a))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(.f64 -1 (.f64 a t))
(neg.f64 (*.f64 t a))
(*.f64 a (neg.f64 t))
(*.f64 t (neg.f64 a))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(.f64 -1 (.f64 a t))
(neg.f64 (*.f64 t a))
(*.f64 a (neg.f64 t))
(*.f64 t (neg.f64 a))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)) (+.f64 (.f64 y z) (.f64 -1 a)))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 z x) (*.f64 y z))
(+.f64 z (-.f64 x (*.f64 z y)))
(fma.f64 z (-.f64 1 y) x)
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(fma.f64 a (neg.f64 t) a)
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z x)) (.f64 y z))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(.f64 -1 (.f64 (-.f64 t 1) a))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(fma.f64 a (neg.f64 t) a)
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 t 1) a)) (+.f64 z x)) (*.f64 y z))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 t 1) a)) (+.f64 z x)) (*.f64 y z))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 t 1) a)) (+.f64 z x)) (*.f64 y z))
(-.f64 (+.f64 z x) (fma.f64 y z (*.f64 (-.f64 t 1) a)))
(fma.f64 a (-.f64 1 t) (fma.f64 z (-.f64 1 y) x))
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))

localize15.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 t (-.f64 b a))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series15.0ms (0%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(*.f64 t (-.f64 b a))
4.0ms	b	@	-inf	(*.f64 t (-.f64 b a))
1.0ms	t	@	0	(*.f64 t (-.f64 b a))
1.0ms	t	@	inf	(*.f64 t (-.f64 b a))
1.0ms	a	@	-inf	(*.f64 t (-.f64 b a))

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 t (-.f64 b a))

Outputs

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

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
43×	`cancel-sign-sub-inv_binary64`
26×	`sub-neg_binary64`
25×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	575	156
9	729	156
10	743	156

Stop Event

1×

saturated

Counts

43 → 24

Calls

Call 1

Inputs
(.f64 -1 (.f64 a t))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(*.f64 t b)
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(*.f64 t b)
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(*.f64 t b)
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(.f64 -1 (.f64 a t))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(.f64 -1 (.f64 a t))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))

Outputs
(.f64 -1 (.f64 a t))
(neg.f64 (*.f64 a t))
(*.f64 a (neg.f64 t))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(*.f64 t b)
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(*.f64 t b)
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(*.f64 t b)
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(.f64 -1 (.f64 a t))
(neg.f64 (*.f64 a t))
(*.f64 a (neg.f64 t))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(.f64 -1 (.f64 a t))
(neg.f64 (*.f64 a t))
(*.f64 a (neg.f64 t))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))
(+.f64 (.f64 t b) (.f64 -1 (*.f64 a t)))
(fma.f64 t b (neg.f64 (*.f64 a t)))
(*.f64 t (+.f64 (neg.f64 a) b))
(*.f64 t (-.f64 b a))

localize19.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 17 computations (51.4% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
1.0ms	b	@	inf	(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	x	@	0	(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	b	@	-inf	(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	y	@	inf	(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
496×	`fma-def_binary64`
424×	`pow-prod-down_binary64`
320×	`pow2_binary64`
273×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	232	11
2	3381	11

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))

Outputs

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

simplify110.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

983×	`fma-neg_binary64`
786×	`fma-def_binary64`
197×	`distribute-rgt-in_binary64`
146×	`unsub-neg_binary64`
111×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	461
1	53	461
2	91	461
3	166	461
4	216	461
5	243	461
6	307	461
7	483	461
8	894	461
9	1583	461
10	2412	461
11	3074	461
12	3482	461
13	3673	461
14	3703	461

Stop Event

1×

saturated

Counts

106 → 72

Calls

Call 1

Inputs
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
x
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
x
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 b (-.f64 t 2)) x)
(+.f64 (.f64 y b) (+.f64 (.f64 b (-.f64 t 2)) x))
(+.f64 (.f64 y b) (+.f64 (.f64 b (-.f64 t 2)) x))
(+.f64 (.f64 y b) (+.f64 (.f64 b (-.f64 t 2)) x))
(*.f64 y b)
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(*.f64 y b)
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(+.f64 (*.f64 (-.f64 y 2) b) x)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
x
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)

Outputs
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (+.f64 y (+.f64 t -2)) b)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
x
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
x
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 b (-.f64 t 2)) x)
(fma.f64 b (+.f64 t -2) x)
(+.f64 (.f64 y b) (+.f64 (.f64 b (-.f64 t 2)) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 y b) (+.f64 (.f64 b (-.f64 t 2)) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 y b) (+.f64 (.f64 b (-.f64 t 2)) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(*.f64 y b)
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(*.f64 y b)
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 y b) (+.f64 (.f64 (-.f64 t 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 y 2) b) x)
(fma.f64 (+.f64 y -2) b x)
(fma.f64 b (+.f64 y -2) x)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 (-.f64 y 2) b) x))
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
x
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (+.f64 y (+.f64 t -2)) b)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (+.f64 y (+.f64 t -2)) b)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)
(+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)
(fma.f64 (+.f64 y (+.f64 t -2)) b x)
(fma.f64 (-.f64 (+.f64 y t) 2) b x)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
✓	0.0b	(*.f64 a (-.f64 1 t))
✓	0.0b	(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))

Compiler

Compiled 48 to 26 computations (45.8% saved)

series6.0ms (0%)

Counts

2 → 42

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	t	@	inf	(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	a	@	0	(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	t	@	-inf	(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	a	@	inf	(*.f64 a (-.f64 1 t))

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`log-prod_binary64`
653×	`fma-def_binary64`
337×	`fma-neg_binary64`
268×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	295	24
2	4181	24

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(*.f64 a (-.f64 1 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (-.f64 1 t) (*.f64 (+.f64 t (+.f64 y -2)) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a (-.f64 1 t)) 2) (-.f64 (*.f64 a (-.f64 1 t)) (*.f64 (+.f64 t (+.f64 y -2)) b))) (/.f64 (pow.f64 (*.f64 (+.f64 t (+.f64 y -2)) b) 2) (-.f64 (*.f64 a (-.f64 1 t)) (*.f64 (+.f64 t (+.f64 y -2)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (-.f64 1 t) (*.f64 (+.f64 t (+.f64 y -2)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (-.f64 1 t) (*.f64 (+.f64 t (+.f64 y -2)) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (-.f64 1 t) (*.f64 (+.f64 t (+.f64 y -2)) b))) (pow.f64 (cbrt.f64 (fma.f64 a (-.f64 1 t) (*.f64 (+.f64 t (+.f64 y -2)) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a (-.f64 1 t) (*.f64 (+.f64 t (+.f64 y -2)) b))) 2) (cbrt.f64 (fma.f64 a (-.f64 1 t) (*.f64 (+.f64 t (+.f64 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b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (-.f64 1 t)) 1 (*.f64 (+.f64 t (+.f64 y -2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 t (+.f64 y -2)) b (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (+.f64 t (+.f64 y -2)) (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 t (+.f64 y -2)) b) 1 (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) (+.f64 t (+.f64 y -2))) (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 t)) 2) (*.f64 (cbrt.f64 (-.f64 1 t)) a) (*.f64 (+.f64 t (+.f64 y -2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (-.f64 1 t)) (*.f64 (+.f64 t (+.f64 y -2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 t (+.f64 y -2)) b)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 t (+.f64 y -2)) 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(2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (-.f64 1 t)) (*.f64 (+.f64 t (+.f64 y -2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 t (+.f64 y -2)) b)) (sqrt.f64 (*.f64 (+.f64 t (+.f64 y -2)) b)) (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (-.f64 1 t))) (sqrt.f64 (*.f64 a (-.f64 1 t))) (*.f64 (+.f64 t (+.f64 y -2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 t (+.f64 y -2))) (*.f64 (sqrt.f64 (+.f64 t (+.f64 y -2))) b) (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 t (+.f64 y -2)) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 t (+.f64 y -2)) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 (+.f64 t (+.f64 y -2))) 2)) (cbrt.f64 (+.f64 t (+.f64 y -2))) (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (+.f64 t (+.f64 y -2)))) (sqrt.f64 (+.f64 t (+.f64 y -2))) (*.f64 a (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (-.f64 1 t)) 2)) (cbrt.f64 (-.f64 1 t)) (*.f64 (+.f64 t (+.f64 y -2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (-.f64 1 t))) (sqrt.f64 (-.f64 1 t)) (*.f64 (+.f64 t (+.f64 y -2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 t) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 (+.f64 t (+.f64 y -2)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 t) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (+.f64 t (+.f64 y -2)) b))))))

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

simplify309.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2464×	`fma-neg_binary64`
777×	`fma-def_binary64`
462×	`unsub-neg_binary64`
330×	`sub-neg_binary64`
236×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	519
1	108	441
2	235	441
3	550	439
4	1251	439
5	2978	439
6	4603	439
7	4999	439
8	5057	439
9	5058	439
10	5058	439
11	5356	439
12	5405	439
13	5405	439
14	5405	439
15	7512	439
16	7512	439
17	7512	439

Stop Event

1×

saturated

Counts

141 → 121

Calls

Call 1

Inputs
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 a (-.f64 1 t))
(*.f64 a (-.f64 1 t))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (*.f64 (-.f64 y 2) b)))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (*.f64 (-.f64 y 2) b)))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (*.f64 (-.f64 y 2) b)))
(.f64 t (+.f64 b (.f64 -1 a)))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (*.f64 (-.f64 y 2) b)))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (*.f64 (-.f64 y 2) b)))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (*.f64 (-.f64 y 2) b)))
(.f64 -1 (.f64 (+.f64 a (*.f64 -1 b)) t))
(+.f64 a (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (.f64 (-.f64 y 2) b)))
(+.f64 a (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (.f64 (-.f64 y 2) b)))
(+.f64 a (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (.f64 (-.f64 y 2) b)))
(+.f64 (.f64 a (-.f64 1 t)) (.f64 b (-.f64 t 2)))
(+.f64 (.f64 y b) (+.f64 (.f64 a (-.f64 1 t)) (*.f64 b (-.f64 t 2))))
(+.f64 (.f64 y b) (+.f64 (.f64 a (-.f64 1 t)) (*.f64 b (-.f64 t 2))))
(+.f64 (.f64 y b) (+.f64 (.f64 a (-.f64 1 t)) (*.f64 b (-.f64 t 2))))
(*.f64 y b)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(*.f64 y b)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(*.f64 a (-.f64 1 t))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (-.f64 (+.f64 y t) 2) b)
a
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(.f64 -1 (.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(.f64 -1 (.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))

Outputs
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (+.f64 y (+.f64 t -2)) b)
(*.f64 (-.f64 y (-.f64 2 t)) b)
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 a (*.f64 b (+.f64 y -2)))
(fma.f64 b (+.f64 y -2) a)
(fma.f64 b (-.f64 y 2) a)
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (*.f64 (-.f64 y 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (*.f64 (-.f64 y 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (*.f64 (-.f64 y 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(.f64 t (+.f64 b (.f64 -1 a)))
(*.f64 t (+.f64 b (neg.f64 a)))
(*.f64 t (-.f64 b a))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (*.f64 (-.f64 y 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (*.f64 (-.f64 y 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (*.f64 (-.f64 y 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(.f64 -1 (.f64 (+.f64 a (*.f64 -1 b)) t))
(*.f64 t (+.f64 b (neg.f64 a)))
(*.f64 t (-.f64 b a))
(+.f64 a (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (.f64 (-.f64 y 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 a (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (.f64 (-.f64 y 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 a (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (.f64 (-.f64 y 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 (.f64 a (-.f64 1 t)) (.f64 b (-.f64 t 2)))
(fma.f64 a (-.f64 1 t) (*.f64 b (+.f64 t -2)))
(fma.f64 b (+.f64 t -2) (*.f64 a (-.f64 1 t)))
(fma.f64 b (+.f64 t -2) (-.f64 a (*.f64 t a)))
(fma.f64 b -2 (fma.f64 t (-.f64 b a) a))
(fma.f64 t (-.f64 b a) (fma.f64 b -2 a))
(+.f64 (.f64 y b) (+.f64 (.f64 a (-.f64 1 t)) (*.f64 b (-.f64 t 2))))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 (.f64 y b) (+.f64 (.f64 a (-.f64 1 t)) (*.f64 b (-.f64 t 2))))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 (.f64 y b) (+.f64 (.f64 a (-.f64 1 t)) (*.f64 b (-.f64 t 2))))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(*.f64 y b)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(*.f64 y b)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 y b) (*.f64 (-.f64 t 2) b)))
(fma.f64 t (+.f64 b (neg.f64 a)) (+.f64 a (*.f64 b (+.f64 y -2))))
(fma.f64 t (-.f64 b a) (fma.f64 b (+.f64 y -2) a))
(fma.f64 t (-.f64 b a) (fma.f64 b (-.f64 y 2) a))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (+.f64 y (+.f64 t -2)) b)
(*.f64 (-.f64 y (-.f64 2 t)) b)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (+.f64 y (+.f64 t -2)) b)
(*.f64 (-.f64 y (-.f64 2 t)) b)
a
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(.f64 -1 (.f64 a t))
(neg.f64 (*.f64 t a))
(*.f64 t (neg.f64 a))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(.f64 -1 (.f64 a t))
(neg.f64 (*.f64 t a))
(*.f64 t (neg.f64 a))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 t a))

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (-.f64 1 t))
✓	0.0b	(+.f64 (*.f64 b (-.f64 t 2)) x)

Compiler

Compiled 60 to 36 computations (40% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(+.f64 (*.f64 b (-.f64 t 2)) x)
1.0ms	t	@	-inf	(+.f64 (*.f64 b (-.f64 t 2)) x)
0.0ms	b	@	0	(+.f64 (*.f64 b (-.f64 t 2)) x)
0.0ms	t	@	inf	(+.f64 (*.f64 b (-.f64 t 2)) x)
0.0ms	t	@	0	(+.f64 (*.f64 b (-.f64 t 2)) x)

rewrite104.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`prod-diff_binary64`
573×	`unpow-prod-down_binary64`
416×	`log-prod_binary64`
299×	`fma-def_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	182	8
2	2480	8

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(+.f64 (*.f64 b (-.f64 t 2)) x)

Outputs

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

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
6×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	253
1	26	253
2	38	253
3	46	253

Stop Event

1×

saturated

Counts

102 → 74

Calls

Call 1

Inputs
x
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(*.f64 (-.f64 t 2) b)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(*.f64 (-.f64 t 2) b)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 -2 b) x)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(*.f64 (-.f64 t 2) b)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
x
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
x
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(+.f64 (*.f64 (-.f64 t 2) b) x)

Outputs
x
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(*.f64 (-.f64 t 2) b)
(*.f64 (+.f64 t -2) b)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(*.f64 (-.f64 t 2) b)
(*.f64 (+.f64 t -2) b)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 -2 b) x)
(fma.f64 -2 b x)
(fma.f64 b -2 x)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(fma.f64 (+.f64 t -2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(fma.f64 (+.f64 t -2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(fma.f64 (+.f64 t -2) b x)
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(fma.f64 (+.f64 t -2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(fma.f64 (+.f64 t -2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(fma.f64 (+.f64 t -2) b x)
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(fma.f64 (+.f64 t -2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(fma.f64 (+.f64 t -2) b x)
(+.f64 (.f64 t b) (+.f64 (.f64 -2 b) x))
(fma.f64 (+.f64 t -2) b x)
(*.f64 (-.f64 t 2) b)
(*.f64 (+.f64 t -2) b)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
x
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
x
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)
(+.f64 (*.f64 (-.f64 t 2) b) x)
(fma.f64 (+.f64 t -2) b x)

eval248.0ms (0.6%)

Compiler: Compiled 12889 to 6862 computations (46.8% saved)

prune183.0ms (0.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	610	15	625
Fresh	5	4	9
Picked	1	0	1
Done	3	1	4
Total	619	20	639

Error

Counts

639 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	50.8b	(*.f64 y (-.f64 b z))
	44.3b	(+.f64 x (*.f64 y b))
	57.5b	(*.f64 a (neg.f64 t))
	43.4b	(*.f64 (-.f64 (+.f64 y t) 2) b)
	18.1b	(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
	45.4b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 (+.f64 t (-.f64 y 2)) b)) 2))
	49.7b	x
✓	51.2b	(*.f64 t (-.f64 b a))
▶	42.3b	(+.f64 a (*.f64 (-.f64 y 2) b))
▶	43.2b	(+.f64 x (*.f64 t b))
	14.3b	(+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (*.f64 y b))
▶	56.2b	(*.f64 t b)
▶	37.0b	(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
	26.4b	(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
	27.2b	(+.f64 (-.f64 z (.f64 z y)) (.f64 (-.f64 (+.f64 y t) 2) b))
	36.0b	(+.f64 (*.f64 b (-.f64 t 2)) x)
	49.6b	(-.f64 a (*.f64 t a))
	57.3b	(*.f64 y b)
	12.5b	(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
▶	0.0b	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))

Compiler

Compiled 552 to 402 computations (27.2% saved)

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x))
✓	0.0b	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))
	0.0b	(*.f64 a (-.f64 1 t))

Compiler

Compiled 71 to 42 computations (40.8% saved)

series11.0ms (0%)

Counts

2 → 132

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))
0.0ms	t	@	-inf	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))
0.0ms	t	@	inf	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))
0.0ms	a	@	-inf	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))
0.0ms	y	@	-inf	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))

rewrite102.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`fma-def_binary64`
375×	`fma-neg_binary64`
356×	`expm1-udef_binary64`
354×	`log1p-udef_binary64`
282×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	381	40
2	5335	40

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))
(fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x))

Outputs

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

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

simplify337.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

521×	`distribute-neg-in_binary64`
512×	`associate-+r-_binary64`
457×	`associate-+l+_binary64`
429×	`fma-def_binary64`
396×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	2380
1	254	2320
2	742	2318
3	2482	2318
4	4627	2318
5	5796	2318

Stop Event

1×	node limit

Counts

187 → 105

Calls

Call 1

Inputs
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))))
(.f64 (+.f64 (.f64 -1 z) b) y)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 (.f64 b (-.f64 t 2)) x))))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(.f64 t (+.f64 b (.f64 -1 a)))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(+.f64 a (+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))))
(.f64 -1 (.f64 (+.f64 a (*.f64 -1 b)) t))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (+.f64 (*.f64 (-.f64 y 2) b) x))))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (+.f64 (*.f64 (-.f64 y 2) b) x))))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (+.f64 (*.f64 (-.f64 y 2) b) x))))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 a (-.f64 1 t))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 a (-.f64 1 t))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) (*.f64 (-.f64 (+.f64 y t) 2) b)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
x
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
x
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (*.f64 a (-.f64 1 t)) x)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 -1 (*.f64 y z)) (+.f64 z x)))
(+.f64 (*.f64 z (-.f64 1 y)) x)
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(*.f64 a (-.f64 1 t))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(*.f64 a (-.f64 1 t))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 a (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(.f64 -1 (.f64 a t))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(.f64 -1 (.f64 a t))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 a (+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (.f64 z (-.f64 1 y)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
x
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
x
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))

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

localize5.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 t b))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 x (*.f64 t b))
0.0ms	b	@	0	(+.f64 x (*.f64 t b))
0.0ms	t	@	inf	(+.f64 x (*.f64 t b))
0.0ms	b	@	-inf	(+.f64 x (*.f64 t b))
0.0ms	t	@	-inf	(+.f64 x (*.f64 t b))

rewrite56.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	5
2	1779	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 x (*.f64 t b))

Outputs

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

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	159
1	9	159
2	10	159

Stop Event

1×

saturated

Counts

71 → 38

Calls

Call 1

Inputs
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
x
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
x
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
x
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
x
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)
(+.f64 (*.f64 t b) x)

Outputs
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
x
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
x
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
x
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
x
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(*.f64 t b)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)
(+.f64 (*.f64 t b) x)
(fma.f64 t b x)

localize59.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 2) b)

Compiler

Compiled 25 to 16 computations (36% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(*.f64 (-.f64 y 2) b)
0.0ms	b	@	inf	(*.f64 (-.f64 y 2) b)
0.0ms	b	@	0	(*.f64 (-.f64 y 2) b)
0.0ms	y	@	0	(*.f64 (-.f64 y 2) b)
0.0ms	y	@	inf	(*.f64 (-.f64 y 2) b)

rewrite48.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`pow1_binary64`
630×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
619×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	132	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 (-.f64 y 2) b)

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	75
1	13	75
2	19	75

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

Inputs
(*.f64 -2 b)
(+.f64 (.f64 y b) (.f64 -2 b))
(+.f64 (.f64 y b) (.f64 -2 b))
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 -2 b))
(+.f64 (.f64 y b) (.f64 -2 b))
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 -2 b))
(+.f64 (.f64 y b) (.f64 -2 b))
(+.f64 (.f64 y b) (.f64 -2 b))

Outputs
(*.f64 -2 b)
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 b (+.f64 y -2))
(*.f64 b (+.f64 -2 y))
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 b (+.f64 y -2))
(*.f64 b (+.f64 -2 y))
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 b (+.f64 y -2))
(*.f64 b (+.f64 -2 y))
(*.f64 y b)
(*.f64 b y)
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 b (+.f64 y -2))
(*.f64 b (+.f64 -2 y))
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 b (+.f64 y -2))
(*.f64 b (+.f64 -2 y))
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 b (+.f64 y -2))
(*.f64 b (+.f64 -2 y))
(*.f64 y b)
(*.f64 b y)
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 b (+.f64 y -2))
(*.f64 b (+.f64 -2 y))
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 b (+.f64 y -2))
(*.f64 b (+.f64 -2 y))
(+.f64 (.f64 y b) (.f64 -2 b))
(*.f64 b (+.f64 y -2))
(*.f64 b (+.f64 -2 y))

localize18.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
	0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)

Compiler

Compiled 44 to 19 computations (56.8% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
1.0ms	y	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	t	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	b	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0ms	b	@	inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`fma-def_binary64`
630×	`log-prod_binary64`
349×	`pow2_binary64`
336×	`fma-neg_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	278	14
2	4072	14

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

Inputs
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))

Outputs

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

simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1096×	`fma-neg_binary64`
495×	`fma-def_binary64`
200×	`cancel-sign-sub-inv_binary64`
198×	`distribute-rgt-in_binary64`
155×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	705
1	76	666
2	184	594
3	419	592
4	946	592
5	1832	592
6	3309	592
7	3628	592
8	3628	592
9	4084	592
10	4084	592

Stop Event

1×

saturated

Counts

123 → 93

Calls

Call 1

Inputs
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(*.f64 (-.f64 t 2) b)
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 (-.f64 t 2) b))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 (-.f64 t 2) b))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 (-.f64 t 2) b))
(.f64 (+.f64 (.f64 -1 z) b) y)
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 b (-.f64 t 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 b (-.f64 t 2)))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 b (-.f64 t 2)))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (.f64 b (-.f64 t 2)))
(+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (.f64 b (-.f64 t 2)))
(+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (.f64 b (-.f64 t 2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 y 2) b))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))

Outputs
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (+.f64 y (+.f64 t -2)) b)
(*.f64 (+.f64 t (+.f64 y -2)) b)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(*.f64 (-.f64 t 2) b)
(*.f64 b (+.f64 t -2))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 (-.f64 t 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 (-.f64 t 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 (-.f64 t 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(.f64 (+.f64 (.f64 -1 z) b) y)
(*.f64 y (fma.f64 -1 z b))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 b (-.f64 t 2)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 b (-.f64 t 2)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (*.f64 b (-.f64 t 2)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(*.f64 y (fma.f64 -1 z b))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (.f64 b (-.f64 t 2)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (.f64 b (-.f64 t 2)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (.f64 b (-.f64 t 2)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 y 2) b))
(fma.f64 -1 (.f64 y z) (.f64 b (+.f64 y -2)))
(-.f64 (.f64 b (+.f64 y -2)) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b -2))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(*.f64 t b)
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 t b) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (-.f64 y 2) b)))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (+.f64 y (+.f64 t -2)) b)
(*.f64 (+.f64 t (+.f64 y -2)) b)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(*.f64 (+.f64 y (+.f64 t -2)) b)
(*.f64 (+.f64 t (+.f64 y -2)) b)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 -1 (.f64 y z) (.f64 (+.f64 y (+.f64 t -2)) b))
(-.f64 (.f64 (+.f64 t (+.f64 y -2)) b) (.f64 y z))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))

eval250.0ms (0.6%)

Compiler: Compiled 5577 to 3062 computations (45.1% saved)

prune201.0ms (0.5%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	317	11	328
Fresh	6	8	14
Picked	1	0	1
Done	2	3	5
Total	326	22	348

Error

Counts

348 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	37.0b	(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
	26.4b	(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
	44.3b	(+.f64 x (*.f64 y b))
	19.9b	(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
	57.5b	(*.f64 a (neg.f64 t))
	43.4b	(*.f64 (-.f64 (+.f64 y t) 2) b)
	18.1b	(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
	46.6b	(-.f64 z (*.f64 z y))
	49.5b	(+.f64 a (*.f64 y b))
	36.0b	(+.f64 (*.f64 b (-.f64 t 2)) x)
▶	50.8b	(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
▶	8.3b	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x)))
✓	51.2b	(*.f64 t (-.f64 b a))
✓	43.2b	(+.f64 x (*.f64 t b))
	50.8b	(*.f64 y (-.f64 b z))
▶	49.6b	(-.f64 a (*.f64 t a))
▶	57.3b	(*.f64 y b)
	49.7b	x
	56.5b	(*.f64 y (neg.f64 z))
✓	56.2b	(*.f64 t b)
	47.7b	(+.f64 a (*.f64 -2 b))
▶	49.1b	(*.f64 (-.f64 t 2) b)

Compiler

Compiled 512 to 379 computations (26% saved)

localize55.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x))
✓	0.0b	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x)))

Compiler

Compiled 66 to 28 computations (57.6% saved)

series42.0ms (0.1%)

Counts

2 → 132

Calls

33 calls:

Time	Variable		Point	Expression
21.0ms	t	@	inf	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x)))
1.0ms	y	@	0	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x)))
1.0ms	a	@	0	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x)))
1.0ms	t	@	0	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x)))
1.0ms	x	@	0	(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x)))

rewrite181.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`fma-def_binary64`
351×	`fma-neg_binary64`
330×	`expm1-udef_binary64`
329×	`log1p-udef_binary64`
261×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	377	34
2	5264	34

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x)))
(fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x))

Outputs

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

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

simplify164.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

591×	`distribute-neg-in_binary64`
505×	`fma-def_binary64`
446×	`distribute-rgt-in_binary64`
382×	`associate-+l-_binary64`
335×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	2370
1	211	2204
2	608	2201
3	1923	2090
4	4197	2090
5	5365	2090
6	7599	2090

Stop Event

1×	node limit

Counts

187 → 99

Calls

Call 1

Inputs
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x))))
(.f64 (+.f64 (.f64 -1 z) b) y)
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 (*.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 z) b) y) (+.f64 (*.f64 b (-.f64 t 2)) x))))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 -1 (.f64 y (+.f64 z (.f64 -1 b)))) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))))
(+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(.f64 t (+.f64 b (.f64 -1 a)))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 t (+.f64 b (.f64 -1 a))) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(.f64 -1 (.f64 (+.f64 a (*.f64 -1 b)) t))
(+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (+.f64 (*.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (+.f64 (*.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 b)) t)) (+.f64 (*.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(.f64 -1 (.f64 a t))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(.f64 -1 (.f64 a t))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 z (-.f64 1 y)) (.f64 (-.f64 (+.f64 y t) 2) b)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
x
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
x
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (.f64 (-.f64 (+.f64 y t) 2) b) (+.f64 (.f64 z (-.f64 1 y)) x)))
(+.f64 (.f64 -1 (.f64 a t)) x)
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(*.f64 z (-.f64 1 y))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1 (.f64 a t)) (+.f64 z x)))
(+.f64 (*.f64 z (-.f64 1 y)) x)
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(.f64 -1 (.f64 a t))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(.f64 -1 (.f64 a t))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (*.f64 z (-.f64 1 y)) x)
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(.f64 -1 (.f64 a t))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(.f64 -1 (.f64 a t))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (*.f64 z (-.f64 1 y)))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
x
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
x
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 -1 (.f64 a t)) (+.f64 (*.f64 z (-.f64 1 y)) x))

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

localize5.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 a (*.f64 t a))

Compiler

Compiled 16 to 8 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(-.f64 a (*.f64 t a))
0.0ms	a	@	inf	(-.f64 a (*.f64 t a))
0.0ms	a	@	-inf	(-.f64 a (*.f64 t a))
0.0ms	t	@	inf	(-.f64 a (*.f64 t a))
0.0ms	t	@	-inf	(-.f64 a (*.f64 t a))

rewrite93.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1654	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(-.f64 a (*.f64 t a))

Outputs

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

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

122×	`fma-def_binary64`
71×	`fma-neg_binary64`
19×	`cancel-sign-sub-inv_binary64`
18×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	34	160
2	50	160
3	87	160
4	121	160
5	200	160
6	339	160
7	417	160
8	485	160
9	491	160

Stop Event

1×

saturated

Counts

64 → 46

Calls

Call 1

Inputs
(*.f64 a (-.f64 1 t))
(*.f64 a (-.f64 1 t))
(*.f64 a (-.f64 1 t))
(*.f64 a (-.f64 1 t))
(*.f64 a (-.f64 1 t))
(*.f64 a (-.f64 1 t))
(*.f64 a (-.f64 1 t))
(*.f64 a (-.f64 1 t))
(.f64 a (+.f64 (.f64 -1 t) 1))
(.f64 a (+.f64 (.f64 -1 t) 1))
(.f64 a (+.f64 (.f64 -1 t) 1))
(.f64 a (+.f64 (.f64 -1 t) 1))
a
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(.f64 -1 (.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(.f64 -1 (.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))
(+.f64 a (.f64 -1 (.f64 a t)))

Outputs
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(.f64 a (+.f64 (.f64 -1 t) 1))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(.f64 a (+.f64 (.f64 -1 t) 1))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(.f64 a (+.f64 (.f64 -1 t) 1))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(.f64 a (+.f64 (.f64 -1 t) 1))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
a
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(.f64 -1 (.f64 a t))
(neg.f64 (*.f64 a t))
(*.f64 a (neg.f64 t))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(.f64 -1 (.f64 a t))
(neg.f64 (*.f64 a t))
(*.f64 a (neg.f64 t))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))
(+.f64 a (.f64 -1 (.f64 a t)))
(*.f64 a (-.f64 1 t))
(-.f64 a (*.f64 a t))

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series14.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	y	@	-inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
1.0ms	y	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
1.0ms	y	@	inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
0.0ms	z	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
0.0ms	b	@	-inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
754×	`add-log-exp_binary64`
753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
737×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	174	8
2	2513	8

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))

Outputs

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

simplify70.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

160×	`fma-def_binary64`
110×	`fma-neg_binary64`
31×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
25×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	41	240
2	96	240
3	186	240
4	324	240
5	505	240
6	620	240
7	661	240

Stop Event

1×

saturated

Counts

82 → 53

Calls

Call 1

Inputs
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(.f64 (+.f64 (.f64 -1 z) b) y)
(.f64 (+.f64 (.f64 -1 z) b) y)
(.f64 (+.f64 (.f64 -1 z) b) y)
(.f64 (+.f64 (.f64 -1 z) b) y)
(.f64 (+.f64 (.f64 -1 z) b) y)
(.f64 (+.f64 (.f64 -1 z) b) y)
(.f64 (+.f64 (.f64 -1 z) b) y)
(.f64 (+.f64 (.f64 -1 z) b) y)
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))

Outputs
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 (+.f64 (.f64 -1 z) b) y)
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 (+.f64 (.f64 -1 z) b) y)
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 (+.f64 (.f64 -1 z) b) y)
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 (+.f64 (.f64 -1 z) b) y)
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 (+.f64 (.f64 -1 z) b) y)
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 (+.f64 (.f64 -1 z) b) y)
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 (+.f64 (.f64 -1 z) b) y)
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 (+.f64 (.f64 -1 z) b) y)
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 -1 (.f64 y (+.f64 z (*.f64 -1 b))))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(*.f64 y b)
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))
(+.f64 (.f64 y b) (.f64 -1 (*.f64 y z)))
(fma.f64 y b (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 b z))

eval91.0ms (0.2%)

Compiler: Compiled 3019 to 1268 computations (58% saved)

prune55.0ms (0.1%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	190	8	198
Fresh	5	9	14
Picked	1	0	1
Done	1	6	7
Total	197	23	220

Error

Counts

220 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	37.0b	(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
	26.4b	(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
	44.3b	(+.f64 x (*.f64 y b))
	19.9b	(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
	43.4b	(*.f64 (-.f64 (+.f64 y t) 2) b)
	18.1b	(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
	50.8b	(*.f64 (-.f64 b z) y)
	49.5b	(+.f64 a (*.f64 y b))
	36.0b	(+.f64 (*.f64 b (-.f64 t 2)) x)
	50.8b	(-.f64 (.f64 y b) (.f64 z y))
	28.0b	(fma.f64 z (-.f64 1 y) (fma.f64 a (neg.f64 t) x))
✓	51.2b	(*.f64 t (-.f64 b a))
✓	43.2b	(+.f64 x (*.f64 t b))
✓	49.6b	(-.f64 a (*.f64 t a))
	57.5b	(*.f64 a (neg.f64 t))
✓	57.3b	(*.f64 y b)
	56.5b	(*.f64 z (neg.f64 y))
	54.8b	a
	47.7b	(+.f64 a (*.f64 -2 b))
	49.7b	x
✓	49.1b	(*.f64 (-.f64 t 2) b)
✓	56.2b	(*.f64 t b)
	46.6b	(-.f64 z (*.f64 z y))

Compiler

Compiled 273 to 204 computations (25.3% saved)

regimes355.0ms (0.9%)

Counts

50 → 1

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (-.f64 z (.f64 z y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (-.f64 1 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))
(+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (*.f64 y b))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 y b))
(+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(fma.f64 y (-.f64 b z) (*.f64 b (+.f64 t -2)))
(fma.f64 z (-.f64 1 y) (fma.f64 a (neg.f64 t) x))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 (+.f64 t (-.f64 y 2)) b)) 2))
(+.f64 x (fma.f64 y (-.f64 b z) (fma.f64 b (-.f64 t 2) z)))
(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 t (neg.f64 a)) x)))
(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (+.f64 (*.f64 a (-.f64 1 t)) x)))
(fma.f64 (+.f64 y (+.f64 t -2)) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

Outputs
(+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))

Calls

7 calls:

69.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
66.0ms	z
61.0ms	b
52.0ms	x
30.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))`

Compiler

Compiled 520 to 260 computations (50% saved)

regimes770.0ms (2%)

Counts

41 → 3

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (-.f64 z (.f64 z y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (-.f64 1 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))
(+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (*.f64 y b))
(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 y b))

Outputs

(+.f64 (-.f64 (-.f64 x (-.f64 (*.f64 z y) z)) (*.f64 (-.f64 t 1) a)) (*.f64 y b))

(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))

(+.f64 (-.f64 (-.f64 x (-.f64 (*.f64 z y) z)) (*.f64 (-.f64 t 1) a)) (*.f64 y b))

Calls

6 calls:

196.0ms	a
136.0ms	z
131.0ms	x
113.0ms	t
110.0ms	b

Results

Error	Segments	Branch
7.4b	6	`x`
1.6b	3	`y`
8.3b	5	`z`
3.9b	3	`t`
8.2b	5	`a`
5.0b	3	`b`

Compiler

Compiled 351 to 169 computations (51.9% saved)

bsearch83.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	44236139474599610.0	3.267897928669003e+21
53.0ms	-104622.06158715278	-268.8963711616595

Compiler

Compiled 36 to 27 computations (25% saved)

regimes1.1s (2.7%)

Counts

39 → 5

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (-.f64 z (.f64 z y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (-.f64 1 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))

Outputs
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))

Calls

6 calls:

249.0ms	a
223.0ms	t
194.0ms	x
160.0ms	y
145.0ms	z

Results

Error	Segments	Branch
7.4b	6	`x`
4.1b	3	`y`
8.3b	5	`z`
2.9b	5	`t`
9.1b	6	`a`
6.0b	4	`b`

Compiler

Compiled 317 to 153 computations (51.7% saved)

bsearch510.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
79.0ms	4.051925524390884e+126	2.285784658096941e+134
233.0ms	8.987364769451748e+53	3.2154317568554883e+63
32.0ms	6.637049550533277e-11	7.541960589116403e-10
166.0ms	-3.113894024755996e+52	-5.8106640566414503e+48

Compiler

Compiled 1180 to 859 computations (27.2% saved)

regimes570.0ms (1.5%)

Counts

38 → 6

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (-.f64 z (.f64 z y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (-.f64 1 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))

Outputs
(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x)))
(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))

Calls

6 calls:

150.0ms	a
130.0ms	t
80.0ms	x
73.0ms	z
71.0ms	b

Results

Error	Segments	Branch
10.3b	3	`x`
7.0b	3	`y`
10.5b	3	`z`
4.8b	6	`t`
8.7b	7	`a`
6.6b	4	`b`

Compiler

Compiled 302 to 144 computations (52.3% saved)

bsearch896.0ms (2.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
50.0ms	1.2751579406562642e+169	2.11732726481952e+172
738.0ms	8.987364769451748e+53	3.2154317568554883e+63
31.0ms	3.308617157617542e+24	7.512354098916856e+29
33.0ms	-388841046447759740.0	-37.12775545951887
43.0ms	-6.956172614556302e+259	-1.2521491682476988e+244

Compiler

Compiled 1123 to 827 computations (26.4% saved)

regimes1.6s (4.1%)

Counts

37 → 6

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (-.f64 z (.f64 z y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (-.f64 1 y)) (.f64 (-.f64 (+.f64 y t) 2) b))

Outputs
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (-.f64 1 t)) (+.f64 (.f64 z (-.f64 1 y)) x))

Calls

6 calls:

631.0ms	t
327.0ms	z
261.0ms	x
174.0ms	y
126.0ms	a

Results

Error	Segments	Branch
13.4b	5	`x`
7.5b	6	`y`
11.7b	6	`z`
10.6b	10	`t`
10.9b	7	`a`
8.4b	4	`b`

Compiler

Compiled 287 to 135 computations (53% saved)

bsearch407.0ms (1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
90.0ms	1.9672768252229615e+183	9.090952977038116e+196
147.0ms	4.5938144379919276e+111	1.4214854678749477e+120
28.0ms	44236139474599610.0	3.267897928669003e+21
27.0ms	-19.248932196871955	-1.1892834325334607e-9
114.0ms	-2.4766370384721124e+119	-8.877277196985514e+93

Compiler

Compiled 1206 to 897 computations (25.6% saved)

regimes674.0ms (1.7%)

Counts

33 → 4

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (.f64 a (neg.f64 t)) (.f64 (-.f64 (+.f64 y t) 2) b))

Outputs
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(+.f64 (.f64 z (neg.f64 y)) (.f64 (-.f64 (+.f64 y t) 2) b))

Calls

6 calls:

166.0ms	z
152.0ms	t
116.0ms	b
109.0ms	y
102.0ms	a

Results

Error	Segments	Branch
18.1b	1	`x`
9.9b	4	`y`
14.2b	7	`z`
14.0b	7	`t`
16.5b	2	`a`
14.1b	4	`b`

Compiler

Compiled 235 to 109 computations (53.6% saved)

bsearch372.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
202.0ms	4.5938144379919276e+111	1.4214854678749477e+120
35.0ms	-19.248932196871955	-1.1892834325334607e-9
135.0ms	-8.877277196985514e+93	-4.026295946819422e+87

Compiler

Compiled 684 to 504 computations (26.3% saved)

regimes343.0ms (0.9%)

Counts

30 → 4

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))

Outputs
(*.f64 (-.f64 b z) y)
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 a (+.f64 z (+.f64 (*.f64 b (-.f64 t 2)) x)))
(-.f64 (.f64 y b) (.f64 z y))

Calls

6 calls:

89.0ms	y
73.0ms	z
61.0ms	b
49.0ms	a
48.0ms	t

Results

Error	Segments	Branch
18.1b	1	`x`
10.9b	4	`y`
15.7b	5	`z`
16.3b	3	`t`
16.5b	2	`a`
14.1b	4	`b`

Compiler

Compiled 199 to 97 computations (51.3% saved)

bsearch246.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
97.0ms	4.5938144379919276e+111	1.4214854678749477e+120
29.0ms	-19.248932196871955	-1.1892834325334607e-9
119.0ms	-8.877277196985514e+93	-4.026295946819422e+87

Compiler

Compiled 576 to 423 computations (26.6% saved)

regimes957.0ms (2.5%)

Counts

29 → 3

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))

Outputs
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(+.f64 x (*.f64 (-.f64 (+.f64 y t) 2) b))

Calls

6 calls:

313.0ms	z
307.0ms	t
132.0ms	x
87.0ms	a
62.0ms	b

Results

Error	Segments	Branch
21.5b	7	`x`
20.9b	3	`y`
19.6b	5	`z`
21.1b	5	`t`
18.2b	5	`a`
15.8b	3	`b`

Compiler

Compiled 188 to 91 computations (51.6% saved)

bsearch120.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	1.528278190328492e-50	1.0420488997715843e-45
54.0ms	-1783607710.8450565	-1120357260.5259132

Compiler

Compiled 36 to 27 computations (25% saved)

regimes606.0ms (1.6%)

Counts

28 → 4

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))

Outputs
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (*.f64 a (-.f64 1 t)) (+.f64 z x))
(*.f64 (-.f64 b z) y)
(+.f64 (*.f64 b (-.f64 t 2)) x)

Calls

6 calls:

151.0ms	z
146.0ms	a
95.0ms	b
87.0ms	x
78.0ms	t

Results

Error	Segments	Branch
21.6b	7	`x`
20.9b	3	`y`
20.2b	11	`z`
22.1b	5	`t`
20.6b	5	`a`
17.8b	4	`b`

Compiler

Compiled 179 to 87 computations (51.4% saved)

bsearch90.0ms (0.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
29.0ms	5.2376907913986906e-11	0.3463331654197701
30.0ms	1.0420488997715843e-45	4.737583212945758e-33
29.0ms	-2.2415838685451047e+27	-6.825655211147003e+25

Compiler

Compiled 36 to 27 computations (25% saved)

regimes736.0ms (1.9%)

Counts

27 → 11

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(*.f64 (-.f64 (+.f64 y t) 2) b)
(+.f64 (.f64 z (neg.f64 y)) (.f64 y b))

Outputs
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(*.f64 t (-.f64 b a))
(+.f64 x (*.f64 y b))
(*.f64 t (-.f64 b a))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(-.f64 a (*.f64 t a))
(+.f64 (*.f64 b (-.f64 t 2)) x)
(-.f64 z (*.f64 z y))

Calls

6 calls:

252.0ms	x
141.0ms	z
128.0ms	y
95.0ms	b
61.0ms	a

Results

Error	Segments	Branch
26.2b	10	`x`
28.6b	3	`y`
22.5b	11	`z`
28.7b	4	`t`
27.0b	5	`a`
27.8b	8	`b`

Compiler

Compiled 170 to 82 computations (51.8% saved)

bsearch647.0ms (1.7%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
162.0ms	4.8428729921112305e+103	9.484901899840507e+111
36.0ms	2.6730538370504447e-254	2.0691270939647357e-252
65.0ms	2.5302966632305277e-278	8.08387753418962e-278
51.0ms	-3.115648540232889e-243	-1.0395667799411524e-255
57.0ms	-8.92171005850182e-239	-1.1327246965286166e-241
49.0ms	-3.029592954209206e-168	-4.514965688963394e-169
30.0ms	-1.364212156236258e-85	-9.404839324004866e-87
30.0ms	-1.766689149787325e+32	-1.3196241737215485e+29
30.0ms	-3.1041203074840385e+71	-2.9669487012607702e+56
136.0ms	-1.4969133924148053e+149	-8.957629581070779e+129

Compiler

Compiled 530 to 407 computations (23.2% saved)

regimes1.1s (2.8%)

Counts

24 → 13

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))

Outputs
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 (-.f64 y 2) b))
(*.f64 t (-.f64 b a))
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 x (*.f64 t b))
(+.f64 a (*.f64 (-.f64 y 2) b))
(+.f64 x (*.f64 t b))
(+.f64 a (*.f64 -2 b))
(*.f64 z (neg.f64 y))
(+.f64 x (*.f64 t b))
(-.f64 z (*.f64 z y))

Calls

6 calls:

447.0ms	z
190.0ms	y
174.0ms	x
130.0ms	b
82.0ms	t

Results

Error	Segments	Branch
29.5b	7	`x`
30.8b	7	`y`
24.5b	13	`z`
29.0b	4	`t`
32.1b	5	`a`
28.6b	8	`b`

Compiler

Compiled 148 to 73 computations (50.7% saved)

bsearch462.0ms (1.2%)

Algorithm

12×	binary-search

Steps

Time	Left	Right
139.0ms	1.1675642614252433e+92	3.987216376450436e+93
28.0ms	4.625139362445383e-36	4.5706976680129716e-26
28.0ms	2.348121168058336e-45	2.0264870706649778e-41
28.0ms	2.7402279736919165e-73	6.3244885922042105e-68
28.0ms	1.3748720601180662e-139	1.5994679111939148e-124
28.0ms	2.6722928056084846e-217	3.474613892810351e-210
30.0ms	2.0691270939647357e-252	4.3744390503499493e-231
35.0ms	-1.0900332678387627e-263	-3.996656544851041e-279
29.0ms	-8.92171005850182e-239	-1.1327246965286166e-241
30.0ms	-3.029592954209206e-168	-4.514965688963394e-169
29.0ms	-1.364212156236258e-85	-9.404839324004866e-87
30.0ms	-1.766689149787325e+32	-1.3196241737215485e+29

Compiler

Compiled 204 to 153 computations (25% saved)

regimes743.0ms (1.9%)

Counts

23 → 13

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))
(*.f64 t (-.f64 b a))
(*.f64 y (-.f64 b z))
(-.f64 (.f64 y b) (.f64 z y))

Outputs
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 t (-.f64 b a))
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(+.f64 a (*.f64 -2 b))
(+.f64 x (*.f64 y b))
(-.f64 a (*.f64 t a))
(+.f64 x (*.f64 t b))
(+.f64 x (*.f64 y b))
(+.f64 a (*.f64 -2 b))
(+.f64 x (*.f64 t b))
(-.f64 z (*.f64 z y))

Calls

6 calls:

175.0ms	x
174.0ms	z
135.0ms	t
104.0ms	b
77.0ms	y

Results

Error	Segments	Branch
29.8b	10	`x`
30.8b	7	`y`
26.2b	13	`z`
30.7b	8	`t`
32.1b	7	`a`
29.5b	10	`b`

Compiler

Compiled 141 to 69 computations (51.1% saved)

bsearch1.1s (2.8%)

Algorithm

12×	binary-search

Steps

Time	Left	Right
228.0ms	1.1675642614252433e+92	3.987216376450436e+93
90.0ms	1.3748720601180662e-139	1.5994679111939148e-124
86.0ms	5.577806173788769e-160	9.253790176238824e-157
53.0ms	3.484687566958311e-193	5.41977661806072e-191
54.0ms	2.6730538370504447e-254	2.0691270939647357e-252
54.0ms	1.8691273032221093e-283	2.5302966632305277e-278
93.0ms	9.103955224836737e-306	5.1099296062475454e-300
95.0ms	-1.0900332678387627e-263	-3.996656544851041e-279
56.0ms	-8.92171005850182e-239	-1.1327246965286166e-241
59.0ms	-1.9023989638617242e-198	-1.1858574883436628e-200
55.0ms	-1.364212156236258e-85	-9.404839324004866e-87
146.0ms	-1.766689149787325e+32	-1.3196241737215485e+29

Compiler

Compiled 204 to 153 computations (25% saved)

regimes597.0ms (1.5%)

Counts

20 → 13

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 a (*.f64 t a))

Outputs
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(+.f64 x (*.f64 t b))
(+.f64 x (*.f64 y b))
(-.f64 a (*.f64 t a))
(+.f64 x (*.f64 t b))
(+.f64 a (*.f64 -2 b))
(+.f64 x (*.f64 y b))
(-.f64 a (*.f64 t a))
(+.f64 x (*.f64 t b))
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(-.f64 z (*.f64 z y))

Calls

6 calls:

161.0ms	z
111.0ms	b
88.0ms	x
86.0ms	y
76.0ms	a

Results

Error	Segments	Branch
31.3b	8	`x`
30.8b	7	`y`
26.6b	13	`z`
32.3b	7	`t`
32.1b	7	`a`
29.5b	10	`b`

Compiler

Compiled 124 to 66 computations (46.8% saved)

bsearch963.0ms (2.5%)

Algorithm

12×	binary-search

Steps

Time	Left	Right
425.0ms	1.1675642614252433e+92	3.987216376450436e+93
56.0ms	1.4659853771850996e-117	2.208239912863072e-110
50.0ms	2.6722928056084846e-217	3.474613892810351e-210
45.0ms	2.6730538370504447e-254	2.0691270939647357e-252
30.0ms	1.8691273032221093e-283	2.5302966632305277e-278
84.0ms	9.103955224836737e-306	5.1099296062475454e-300
57.0ms	-1.0900332678387627e-263	-3.996656544851041e-279
57.0ms	-9.563117201602501e-259	-3.8811858958240077e-261
56.0ms	-8.92171005850182e-239	-1.1327246965286166e-241
42.0ms	-3.029592954209206e-168	-4.514965688963394e-169
30.0ms	-1.1092983985635226e-88	-2.7245437532420057e-90
29.0ms	-1.766689149787325e+32	-1.3196241737215485e+29

Compiler

Compiled 204 to 153 computations (25% saved)

regimes688.0ms (1.8%)

Counts

19 → 9

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))

Outputs
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(+.f64 x (*.f64 t b))
(+.f64 a (*.f64 -2 b))
(+.f64 x (*.f64 y b))
(+.f64 x (*.f64 t b))
(+.f64 a (*.f64 -2 b))
(+.f64 x (*.f64 t b))
(-.f64 z (*.f64 z y))

Calls

6 calls:

200.0ms	b
127.0ms	z
120.0ms	a
86.0ms	y
84.0ms	x

Results

Error	Segments	Branch
31.3b	8	`x`
30.8b	7	`y`
28.8b	9	`z`
32.3b	7	`t`
33.0b	6	`a`
30.6b	9	`b`

Compiler

Compiled 119 to 64 computations (46.2% saved)

bsearch553.0ms (1.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
312.0ms	1.1675642614252433e+92	3.987216376450436e+93
55.0ms	2.0691270939647357e-252	4.3744390503499493e-231
29.0ms	-1.0900332678387627e-263	-3.996656544851041e-279
29.0ms	-9.563117201602501e-259	-3.8811858958240077e-261
38.0ms	-6.104108917545296e-180	-3.0740069338385006e-180
29.0ms	-3.029592954209206e-168	-4.514965688963394e-169
29.0ms	-1.1092983985635226e-88	-2.7245437532420057e-90
30.0ms	-1.766689149787325e+32	-1.3196241737215485e+29

Compiler

Compiled 204 to 153 computations (25% saved)

regimes802.0ms (2.1%)

Counts

18 → 6

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)
(+.f64 x (*.f64 y b))

Outputs
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(+.f64 x (*.f64 y b))
(+.f64 a (*.f64 -2 b))
(+.f64 x (*.f64 y b))
(-.f64 z (*.f64 z y))

Calls

6 calls:

178.0ms	x
157.0ms	t
141.0ms	b
139.0ms	z
91.0ms	a

Results

Error	Segments	Branch
31.3b	8	`x`
34.2b	7	`y`
30.2b	6	`z`
32.9b	10	`t`
32.1b	10	`a`
31.1b	9	`b`

Compiler

Compiled 114 to 63 computations (44.7% saved)

bsearch485.0ms (1.2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
269.0ms	3.8922780694872483e+83	1.1675642614252433e+92
29.0ms	9.103955224836737e-306	5.1099296062475454e-300
33.0ms	-1.0900332678387627e-263	-3.996656544851041e-279
53.0ms	-1.1092983985635226e-88	-2.7245437532420057e-90
100.0ms	-1.766689149787325e+32	-1.3196241737215485e+29

Compiler

Compiled 252 to 189 computations (25% saved)

regimes807.0ms (2.1%)

Counts

17 → 8

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))
(*.f64 (-.f64 t 2) b)

Outputs
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(+.f64 a (*.f64 -2 b))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 t 2) b)
(+.f64 a (*.f64 y b))
x
(-.f64 z (*.f64 z y))

Calls

6 calls:

243.0ms	a
158.0ms	t
112.0ms	z
99.0ms	b
98.0ms	x

Results

Error	Segments	Branch
32.0b	8	`x`
35.4b	5	`y`
31.5b	8	`z`
34.1b	10	`t`
34.0b	10	`a`
32.7b	9	`b`

Compiler

Compiled 109 to 62 computations (43.1% saved)

bsearch1.0s (2.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
485.0ms	3.8922780694872483e+83	1.1675642614252433e+92
60.0ms	1.3748720601180662e-139	1.5994679111939148e-124
64.0ms	2.6722928056084846e-217	3.474613892810351e-210
144.0ms	2.6730538370504447e-254	2.0691270939647357e-252
59.0ms	2.5302966632305277e-278	8.08387753418962e-278
145.0ms	-8.92171005850182e-239	-1.1327246965286166e-241
32.0ms	-1.766689149787325e+32	-1.3196241737215485e+29

Compiler

Compiled 216 to 171 computations (20.8% saved)

regimes1.6s (4.1%)

Counts

16 → 8

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))
(+.f64 a (*.f64 -2 b))

Outputs
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(+.f64 a (*.f64 -2 b))
(*.f64 a (neg.f64 t))
(*.f64 t b)
(+.f64 a (*.f64 y b))
x
(-.f64 z (*.f64 z y))

Calls

6 calls:

319.0ms	y
318.0ms	a
293.0ms	t
244.0ms	b
242.0ms	z

Results

Error	Segments	Branch
33.6b	7	`x`
34.7b	7	`y`
31.7b	8	`z`
34.1b	10	`t`
35.0b	11	`a`
33.0b	11	`b`

Compiler

Compiled 104 to 59 computations (43.3% saved)

bsearch596.0ms (1.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
363.0ms	3.8922780694872483e+83	1.1675642614252433e+92
30.0ms	1.3748720601180662e-139	1.5994679111939148e-124
30.0ms	2.6722928056084846e-217	3.474613892810351e-210
66.0ms	2.6730538370504447e-254	2.0691270939647357e-252
41.0ms	2.5302966632305277e-278	8.08387753418962e-278
38.0ms	-8.92171005850182e-239	-1.1327246965286166e-241
28.0ms	-1.766689149787325e+32	-1.3196241737215485e+29

Compiler

Compiled 216 to 171 computations (20.8% saved)

regimes525.0ms (1.3%)

Counts

15 → 4

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
(*.f64 y (-.f64 b z))

Outputs
(-.f64 z (*.f64 z y))
(+.f64 a (*.f64 y b))
x
(-.f64 z (*.f64 z y))

Calls

6 calls:

162.0ms	t
142.0ms	b
73.0ms	x
60.0ms	a
45.0ms	y

Results

Error	Segments	Branch
34.8b	7	`x`
38.8b	6	`y`
34.0b	4	`z`
35.5b	11	`t`
37.0b	7	`a`
36.8b	10	`b`

Compiler

Compiled 99 to 56 computations (43.4% saved)

bsearch620.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
481.0ms	3.8922780694872483e+83	1.1675642614252433e+92
61.0ms	1.3748720601180662e-139	1.5994679111939148e-124
77.0ms	-1.766689149787325e+32	-1.3196241737215485e+29

Compiler

Compiled 216 to 171 computations (20.8% saved)

regimes374.0ms (1%)

Counts

13 → 4

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)
(-.f64 z (*.f64 z y))
(-.f64 z (*.f64 z y))

Outputs
(-.f64 z (*.f64 z y))
(*.f64 (-.f64 b z) y)
x
(-.f64 z (*.f64 z y))

Calls

6 calls:

81.0ms	t
75.0ms	x
70.0ms	b
66.0ms	a
50.0ms	y

Results

Error	Segments	Branch
37.7b	3	`x`
38.8b	6	`y`
35.9b	4	`z`
37.0b	11	`t`
37.2b	9	`a`
38.4b	9	`b`

Compiler

Compiled 89 to 54 computations (39.3% saved)

bsearch385.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
272.0ms	3.8922780694872483e+83	1.1675642614252433e+92
31.0ms	-1.1858574883436628e-200	-2.301682324858441e-204
81.0ms	-4.637105753254294e+21	-8761301622609672.0

Compiler

Compiled 216 to 171 computations (20.8% saved)

regimes338.0ms (0.9%)

Counts

11 → 11

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))
(*.f64 (-.f64 b z) y)

Outputs
a
(*.f64 a (neg.f64 t))
a
(*.f64 (-.f64 b z) y)
x
(*.f64 (-.f64 b z) y)
x
(*.f64 t b)
(*.f64 (-.f64 b z) y)
x
a

Calls

6 calls:

79.0ms	a
65.0ms	x
55.0ms	t
52.0ms	b
47.0ms	z

Results

Error	Segments	Branch
39.6b	5	`x`
40.1b	5	`y`
45.4b	3	`z`
40.9b	7	`t`
39.3b	11	`a`
42.0b	8	`b`

Compiler

Compiled 79 to 52 computations (34.2% saved)

bsearch1.0s (2.7%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
281.0ms	8.762903901743452e+86	1.3472901231740558e+93
30.0ms	7.305065706096023e-140	7.330098353571246e-134
68.0ms	4.84235620809421e-176	3.476336909420162e-169
52.0ms	1.172028119056141e-205	1.8961368726708246e-196
31.0ms	9.172155637806271e-223	1.2011595296347528e-219
189.0ms	-2.8352003543640426e-260	-1.264721026958211e-260
29.0ms	-3.023738673622491e-23	-5.290759745236733e-33
58.0ms	-1.364919046851093e+33	-5.970193973148513e+25
30.0ms	-2.902085107648384e+37	-6.484354332926773e+36
267.0ms	-4.5608642360242526e+117	-8.013619360805723e+110

Compiler

Compiled 351 to 297 computations (15.4% saved)

regimes195.0ms (0.5%)

Counts

10 → 7

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)
(*.f64 a (neg.f64 t))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 a (neg.f64 t))

Outputs
(*.f64 t b)
(*.f64 a (neg.f64 t))
x
a
(*.f64 y b)
x
(*.f64 t b)

Calls

6 calls:

44.0ms	t
37.0ms	a
30.0ms	x
29.0ms	y
29.0ms	b

Results

Error	Segments	Branch
42.2b	5	`x`
44.3b	5	`y`
47.3b	3	`z`
41.8b	7	`t`
42.1b	5	`a`
45.3b	5	`b`

Compiler

Compiled 74 to 50 computations (32.4% saved)

bsearch549.0ms (1.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
87.0ms	2.11732726481952e+172	5.13446691374177e+179
81.0ms	1.0721243611731997e-185	1.787172811479528e-182
92.0ms	8.436975614515932e-215	3.415082950634077e-209
83.0ms	-2.1197831786369752e-52	-6.389426568745391e-55
174.0ms	-5.8106640566414503e+48	-2.8513877475673087e+44
31.0ms	-3.7687842389674456e+240	-3.8246445625317264e+238

Compiler

Compiled 497 to 409 computations (17.7% saved)

regimes153.0ms (0.4%)

Counts

6 → 5

Calls

Call 1

Inputs
a
x
x
x
(*.f64 t b)
(*.f64 y b)

Outputs
a
x
(*.f64 t b)
x
a

Calls

6 calls:

37.0ms	t
27.0ms	a
25.0ms	b
23.0ms	y
23.0ms	x

Results

Error	Segments	Branch
42.6b	5	`x`
45.1b	5	`y`
48.6b	3	`z`
43.1b	6	`t`
42.1b	5	`a`
45.3b	5	`b`

Compiler

Compiled 58 to 44 computations (24.1% saved)

bsearch659.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
428.0ms	8.762903901743452e+86	1.3472901231740558e+93
30.0ms	5.316581539441521e-283	9.179665483978989e-282
48.0ms	-2.4286440598834208e-259	-2.8352003543640426e-260
152.0ms	-1.0274213177893458e+175	-1.221468306208953e+159

Compiler

Compiled 340 to 293 computations (13.8% saved)

regimes195.0ms (0.5%)

Accuracy

Total -19.3b remaining (-44.3%)

Threshold costs -19.3b (-44.3%)

Counts

4 → 3

Calls

Call 1

Inputs
a
x
x
x

Outputs
a
x
a

Calls

6 calls:

135.0ms	a
14.0ms	x
13.0ms	y
13.0ms	t
9.0ms	b

Results

Error	Segments	Branch
44.2b	3	`x`
48.3b	3	`y`
49.7b	1	`z`
47.5b	3	`t`
43.5b	3	`a`
49.7b	1	`b`

Compiler

Compiled 52 to 42 computations (19.2% saved)

bsearch276.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
179.0ms	8.762903901743452e+86	1.3472901231740558e+93
97.0ms	-1.0274213177893458e+175	-1.221468306208953e+159

Compiler

Compiled 340 to 293 computations (13.8% saved)

simplify293.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

165×	`cancel-sign-sub-inv_binary64`
143×	`distribute-rgt-neg-in_binary64`
95×	`unsub-neg_binary64`
93×	`distribute-lft-neg-out_binary64`
92×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	321	2081
1	398	2067
2	445	2067
3	471	2067
4	501	2067
5	544	2067
6	587	2067
7	630	2067
8	677	2067
9	718	2067
10	758	2067
11	824	2067
12	923	2067
13	1013	2067
14	1111	2067
15	1209	2067
16	1276	2067
17	1319	2067
18	1367	2067
19	1420	2067
20	1461	2067
21	1503	2067
22	1519	2067

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(if (<=.f64 y -7189573327310705/68719476736) (+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (.f64 y b)) (if (<=.f64 y 44236139474599608) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))) (+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (.f64 y b))))
(if (<=.f64 t -29999999999999999796628460230848839293851253258321920) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))) (if (<=.f64 t 5135168363328863/77371252455336267181195264) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))) (if (<=.f64 t 900000000000000036434149672042773111737363526720684032) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))) (if (<=.f64 t 219999999999999994830344332807922507028730738984657576230121148196651479930568447624571703757262296568171195307889344934967442470338560) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))))))
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(if (<=.f64 z -176668914978732482412920019353600) (-.f64 z (.f64 z y)) (if (<=.f64 z -3975272409102253/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (+.f64 a (.f64 y b)) (if (<=.f64 z -772904348411337/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (+.f64 x (.f64 y b)) (if (<=.f64 z 7197894732483669/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (+.f64 a (.f64 -2 b)) (if (<=.f64 z 114999999999999999198784690215396627249834481935077628192554752491625231509434127362595749888) (+.f64 x (.f64 y b)) (-.f64 z (.f64 z y)))))))
(if (<=.f64 z -176668914978732482412920019353600) (-.f64 z (.f64 z y)) (if (<=.f64 z -5232803781712389/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (+.f64 a (.f64 y b)) (if (<=.f64 z 1010013615111337/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (+.f64 a (.f64 -2 b)) (if (<=.f64 z 3530399308862389/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584) (.f64 a (neg.f64 t)) (if (<=.f64 z 3319026342905755/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848) (.f64 (-.f64 t 2) b) (if (<=.f64 z 7373608204123009/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (+.f64 a (.f64 y b)) (if (<=.f64 z 114999999999999999198784690215396627249834481935077628192554752491625231509434127362595749888) x (-.f64 z (*.f64 z y)))))))))
(if (<=.f64 z -176668914978732482412920019353600) (-.f64 z (.f64 z y)) (if (<=.f64 z -5232803781712389/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (+.f64 a (.f64 y b)) (if (<=.f64 z 1010013615111337/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (+.f64 a (.f64 -2 b)) (if (<=.f64 z 3530399308862389/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584) (.f64 a (neg.f64 t)) (if (<=.f64 z 3319026342905755/12420144738405671481191835907700020442055088136933572889112416304208407621491015090647027270629171823603901845577048585649372640352918515131554298200329449113635639808166799244402122285052787558602103993549731750007142774830528462848) (.f64 t b) (if (<=.f64 z 7373608204123009/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (+.f64 a (.f64 y b)) (if (<=.f64 z 114999999999999999198784690215396627249834481935077628192554752491625231509434127362595749888) x (-.f64 z (*.f64 z y)))))))))
(if (<=.f64 z -176668914978732482412920019353600) (-.f64 z (.f64 z y)) (if (<=.f64 z 7373608204123009/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (+.f64 a (.f64 y b)) (if (<=.f64 z 114999999999999999198784690215396627249834481935077628192554752491625231509434127362595749888) x (-.f64 z (*.f64 z y)))))
(if (<=.f64 z -4637105753254294192128) (-.f64 z (.f64 z y)) (if (<=.f64 z -8175971924123953/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (.f64 (-.f64 b z) y) (if (<=.f64 z 114999999999999999198784690215396627249834481935077628192554752491625231509434127362595749888) x (-.f64 z (*.f64 z y)))))
(if (<=.f64 a -819999999999999972602164950849701730873517069487690620832366855648211625550717449619557175054296566662801915904) a (if (<=.f64 a -29020851076483838038001215956855029760) (.f64 a (neg.f64 t)) (if (<=.f64 a -1364919046851093020308548257579008) a (if (<=.f64 a -5144624764053201/170141183460469231731687303715884105728) (.f64 (-.f64 b z) y) (if (<=.f64 a -30675370841793/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) x (if (<=.f64 a 1493165678064271/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056) (.f64 (-.f64 b z) y) (if (<=.f64 a 2647859014570463/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) x (if (<=.f64 a 863006353468907/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (.f64 t b) (if (<=.f64 a 3917796716117839/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (*.f64 (-.f64 b z) y) (if (<=.f64 a 880000000000000012875011802993888267253637829320896452165177492709420800541010430001152) x a))))))))))
(if (<=.f64 t -38999999999999999294645031474840295390609088114102076258359945387518892648471945850029787660842965237820376299762480147092007085726956617232035827580842882654598525478448502974550673647682386958348349422943406181946582302051222758927368192) (.f64 t b) (if (<=.f64 t -5799999999999999767528059173801854482143445516288) (.f64 a (neg.f64 t)) (if (<=.f64 t -5714924144197591/26959946667150639794667015087019630673637144422540572481103610249216) x (if (<=.f64 t 8186598303647423/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) a (if (<=.f64 t 6565265174875691/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) (.f64 y b) (if (<=.f64 t 21500000000000001262914176917979022280695435543972814677894401253242337793184657529235634323038469968749991131815929606652976289332895158519723390958480797049467490977972224) x (.f64 t b)))))))
(if (<=.f64 a -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776) a (if (<=.f64 a -8408526847420205/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096) x (if (<=.f64 a 1390811250077931/2615987810513347951534240842431645045315929716077962908798218721607302370910488580305660104530507466131822931927619987366179553920147251083004047259447894239241837835650447017925067042251555454560047407752208612056538559879736027236124400377460220438127733515060190958901472126868316500692677165056) (*.f64 t b) (if (<=.f64 a 880000000000000012875011802993888267253637829320896452165177492709420800541010430001152) x a))))
(if (<=.f64 a -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776) a (if (<=.f64 a 880000000000000012875011802993888267253637829320896452165177492709420800541010430001152) x a))
a

Outputs
(+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
(+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (*.f64 (+.f64 (+.f64 y t) -2) b))
(+.f64 (+.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 a (-.f64 1 t))) (*.f64 (+.f64 (+.f64 y t) -2) b))
(if (<=.f64 y -7189573327310705/68719476736) (+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (.f64 y b)) (if (<=.f64 y 44236139474599608) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))) (+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (.f64 y b))))
(if (<=.f64 y -7189573327310705/68719476736) (+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (.f64 y b)) (if (<=.f64 y 44236139474599608) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 x (.f64 b (-.f64 t 2))))) (+.f64 (-.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 (-.f64 t 1) a)) (.f64 y b))))
(if (<=.f64 y -7189573327310705/68719476736) (+.f64 (+.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 a (-.f64 1 t))) (.f64 y b)) (if (<=.f64 y 44236139474599608) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 x (.f64 b (-.f64 t 2))))) (+.f64 (+.f64 (-.f64 x (-.f64 (.f64 z y) z)) (.f64 a (-.f64 1 t))) (.f64 y b))))
(if (<=.f64 t -29999999999999999796628460230848839293851253258321920) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))) (if (<=.f64 t 5135168363328863/77371252455336267181195264) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))) (if (<=.f64 t 900000000000000036434149672042773111737363526720684032) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x))) (if (<=.f64 t 219999999999999994830344332807922507028730738984657576230121148196651479930568447624571703757262296568171195307889344934967442470338560) (+.f64 a (+.f64 (.f64 z (-.f64 1 y)) (+.f64 (.f64 (-.f64 y 2) b) x))) (+.f64 (.f64 a (-.f64 1 t)) (+.f64 z (+.f64 (.f64 b (-.f64 t 2)) x)))))))
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(if (<=.f64 a -819999999999999972602164950849701730873517069487690620832366855648211625550717449619557175054296566662801915904) a (if (<=.f64 a -29020851076483838038001215956855029760) (.f64 t (neg.f64 a)) (if (<=.f64 a -1364919046851093020308548257579008) a (if (<=.f64 a -5144624764053201/170141183460469231731687303715884105728) (.f64 y (-.f64 b z)) (if (<=.f64 a -30675370841793/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) x (if (<=.f64 a 1493165678064271/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056) (.f64 y (-.f64 b z)) (if (<=.f64 a 2647859014570463/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) x (if (<=.f64 a 863006353468907/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (.f64 t b) (if (<=.f64 a 3917796716117839/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (*.f64 y (-.f64 b z)) (if (<=.f64 a 880000000000000012875011802993888267253637829320896452165177492709420800541010430001152) x a))))))))))
(if (<=.f64 t -38999999999999999294645031474840295390609088114102076258359945387518892648471945850029787660842965237820376299762480147092007085726956617232035827580842882654598525478448502974550673647682386958348349422943406181946582302051222758927368192) (.f64 t b) (if (<=.f64 t -5799999999999999767528059173801854482143445516288) (.f64 a (neg.f64 t)) (if (<=.f64 t -5714924144197591/26959946667150639794667015087019630673637144422540572481103610249216) x (if (<=.f64 t 8186598303647423/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616) a (if (<=.f64 t 6565265174875691/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) (.f64 y b) (if (<=.f64 t 21500000000000001262914176917979022280695435543972814677894401253242337793184657529235634323038469968749991131815929606652976289332895158519723390958480797049467490977972224) x (.f64 t b)))))))
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(if (<=.f64 a -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776) a (if (<=.f64 a 880000000000000012875011802993888267253637829320896452165177492709420800541010430001152) x a))
a

Compiler

Compiled 1571 to 893 computations (43.2% saved)

soundness605.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2214×	`fma-neg_binary64`
529×	`fma-def_binary64`
467×	`sub-neg_binary64`
422×	`unsub-neg_binary64`
345×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	1369
1	179	1321
2	445	1223
3	1215	1223
4	3233	1223
5	3811	1223
6	4414	1223
7	4842	1223
8	4986	1223
9	5019	1223
10	5432	1223
11	5561	1223
12	5701	1223
13	5757	1223
14	5757	1223
15	7826	1223
16	7826	1223
17	7826	1223

Stop Event

1×

saturated

Compiler

Compiled 47 to 35 computations (25.5% saved)

end700.0ms (1.8%)

Compiler: Compiled 1433 to 669 computations (53.3% saved)

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	575	156
9	729	156
10	743	156

Iter	Nodes	Cost
0	13	160
1	34	160
2	50	160
3	87	160
4	121	160
5	200	160
6	339	160
7	417	160
8	485	160
9	491	160

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	575	156
9	729	156
10	743	156

Iter	Nodes	Cost
0	13	160
1	34	160
2	50	160
3	87	160
4	121	160
5	200	160
6	339	160
7	417	160
8	485	160
9	491	160

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	575	156
9	729	156
10	743	156

Iter	Nodes	Cost
0	13	160
1	34	160
2	50	160
3	87	160
4	121	160
5	200	160
6	339	160
7	417	160
8	485	160
9	491	160