Details

analyze489.0ms (2%)

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%	90.4%	0.3%	9.3%	0%	0%	7
0%	0%	90.4%	0.3%	9.3%	0%	0%	8
0%	0%	89.6%	0.3%	10.1%	0%	0%	9
0%	0%	84.5%	0.3%	15.2%	0%	0%	10
0%	0%	67.2%	0.3%	15.2%	17.3%	0%	11
0%	0%	65.3%	0.3%	17.1%	17.3%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample2.5s (10.6%)

Results

1.7s	8253×	body	256	valid
624.0ms	2856×	body	256	invalid
231.0ms	1205×	body	256	infinite
1.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess71.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

539×	`associate--r+_binary64`
527×	`cancel-sign-sub-inv_binary64`
497×	`associate-+l-_binary64`
457×	`associate-+r+_binary64`
420×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	384
1	297	352
2	1178	352
3	3830	352
4	7126	352
0	6	6
1	6	6

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
0
2
3
4
5

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 28 to 21 computations (25% saved)

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

866×	`fma-neg_binary64`
691×	`sub-neg_binary64`
567×	`unsub-neg_binary64`
503×	`fma-def_binary64`
441×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	35	22
2	106	22
3	327	21
4	1045	20
5	2888	20
6	4345	20
7	6311	20
8	7186	20
9	7518	20
10	7628	20
11	7638	20
12	7753	20

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 36 to 22 computations (38.9% saved)

prune2.0ms (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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
▶	0.1b	(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x)))

Compiler

Compiled 42 to 29 computations (31% saved)

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (+.f64 a -1/2) b x)
✓	0.0b	(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x)))
✓	0.1b	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))

Compiler

Compiled 55 to 29 computations (47.3% saved)

series148.0ms (0.6%)

Counts

3 → 168

Calls

42 calls:

Time	Variable		Point	Expression
47.0ms	z	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))
40.0ms	t	@	-inf	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))
24.0ms	t	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))
9.0ms	t	@	inf	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))
8.0ms	b	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`prod-diff_binary64`
702×	`log-prod_binary64`
377×	`fma-def_binary64`
291×	`expm1-udef_binary64`
290×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	318	45
2	4129	45

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

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

Outputs

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

simplify131.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

833×	`unsub-neg_binary64`
706×	`fma-neg_binary64`
538×	`associate-+l+_binary64`
462×	`sub-neg_binary64`
450×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	2418
1	212	2418
2	439	2418
3	877	2418
4	2411	2418
5	3794	2418
6	6249	2418

Stop Event

1×	node limit

Counts

282 → 155

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 a 1/2) b)
✓	0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
✓	0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
✓	0.2b	(*.f64 z (log.f64 t))

Compiler

Compiled 61 to 21 computations (65.6% saved)

series46.0ms (0.2%)

Counts

4 → 140

Calls

42 calls:

Time	Variable		Point	Expression
29.0ms	z	@	0	(*.f64 z (log.f64 t))
1.0ms	b	@	inf	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
1.0ms	b	@	-inf	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
1.0ms	a	@	-inf	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
1.0ms	z	@	inf	(*.f64 z (log.f64 t))

rewrite116.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`fma-neg_binary64`
354×	`expm1-udef_binary64`
354×	`log1p-udef_binary64`
204×	`add-sqr-sqrt_binary64`
200×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	375	50
2	5789	50

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

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

simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

969×	`fma-def_binary64`
833×	`sub-neg_binary64`
632×	`distribute-neg-in_binary64`
490×	`associate--l+_binary64`
355×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	2171
1	195	2163
2	564	1935
3	1959	1935
4	4766	1935
5	6126	1935

Stop Event

1×	node limit

Counts

281 → 182

Calls

Call 1

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

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

eval126.0ms (0.5%)

Compiler: Compiled 7228 to 3330 computations (53.9% saved)

prune224.0ms (0.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	316	21	337
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	318	21	339

Error

0.0b

Counts

339 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	31.8b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
	35.0b	(+.f64 y x)
	33.1b	(+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))
	34.1b	(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 (log.f64 t))) (+.f64 (fma.f64 (+.f64 a -1/2) b x) y))
▶	55.5b	(*.f64 a b)
▶	30.7b	(+.f64 x (*.f64 (-.f64 a 1/2) b))
	0.4b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (-.f64 1 (log.f64 t))) (+.f64 (fma.f64 (+.f64 a -1/2) b x) y))
	18.3b	(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
	31.6b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (sqrt.f64 (.f64 z (log.f64 t))) 2)) (.f64 (-.f64 a 1/2) b))
▶	29.0b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))
	38.6b	(+.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 z y)) 2) (pow.f64 (.f64 z (log.f64 t)) 2)) (/.f64 1 (+.f64 (.f64 z (log.f64 t)) (+.f64 x (+.f64 z y))))) (.f64 (-.f64 a 1/2) b))
▶	0.4b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (cbrt.f64 (.f64 z (log.f64 t))) 3)) (.f64 (-.f64 a 1/2) b))
	35.6b	(fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 (log.f64 t)))) (sqrt.f64 (-.f64 1 (log.f64 t))) (+.f64 (fma.f64 (+.f64 a -1/2) b x) y))
	33.0b	(+.f64 (pow.f64 (sqrt.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))) 2) (.f64 (-.f64 a 1/2) b))
	16.9b	(+.f64 y (fma.f64 (-.f64 a 1/2) b x))
	16.9b	(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
	49.6b	y
	45.2b	(*.f64 (-.f64 a 1/2) b)
▶	33.1b	(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
	16.9b	(+.f64 x (fma.f64 (+.f64 a -1/2) b y))
	42.4b	(+.f64 y (*.f64 a b))

Compiler

Compiled 731 to 524 computations (28.3% saved)

localize81.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3))
	0.2b	(*.f64 z (log.f64 t))
✓	0.6b	(cbrt.f64 (*.f64 z (log.f64 t)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)

Compiler

Compiled 80 to 30 computations (62.5% saved)

series90.0ms (0.4%)

Counts

3 → 66

Calls

24 calls:

Time	Variable		Point	Expression
56.0ms	z	@	inf	(cbrt.f64 (*.f64 z (log.f64 t)))
5.0ms	t	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)
4.0ms	t	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)
4.0ms	t	@	0	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)
3.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)

rewrite157.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`fma-def_binary64`
667×	`log-prod_binary64`
341×	`fma-neg_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	298	29
2	4106	27

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 3))

Outputs

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

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

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

simplify164.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

681×	`unsub-neg_binary64`
622×	`fma-def_binary64`
418×	`unswap-sqr_binary64`
379×	`fma-neg_binary64`
374×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	833
1	123	701
2	303	701
3	782	637
4	1772	637
5	4301	637
6	6295	637
7	7708	637

Stop Event

1×	node limit

Counts

274 → 229

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))
(.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))
(.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))
(.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z)))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z)))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z)))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z)))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(-.f64 (+.f64 y z) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
x
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
x
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 z x) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
y
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
y
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(+.f64 y x)
(+.f64 y (+.f64 z x))
z
(+.f64 y (+.f64 z x))
z
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z)))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z)))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z)))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z)))

Outputs
(.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z)))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z)))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z)))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 t)) z)))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z))
(.f64 1 (.f64 z (log.f64 t)))
(*.f64 z (log.f64 t))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (neg.f64 z) (log.f64 t))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (log.f64 t) (neg.f64 z))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (neg.f64 z) (log.f64 t))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (log.f64 t) (neg.f64 z))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (neg.f64 z) (log.f64 t))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (log.f64 t) (neg.f64 z))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (neg.f64 z) (log.f64 t))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (log.f64 t) (neg.f64 z))) (cbrt.f64 -1))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(-.f64 (+.f64 y z) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(+.f64 y (-.f64 z (.f64 1 (.f64 z (log.f64 t)))))
(+.f64 z (-.f64 y (*.f64 z (log.f64 t))))
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
(-.f64 (+.f64 z (+.f64 y x)) (*.f64 z (log.f64 t)))
(+.f64 (+.f64 z x) (-.f64 y (*.f64 z (log.f64 t))))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) x))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
(-.f64 (+.f64 z (+.f64 y x)) (*.f64 z (log.f64 t)))
(+.f64 (+.f64 z x) (-.f64 y (*.f64 z (log.f64 t))))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) x))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
(-.f64 (+.f64 z (+.f64 y x)) (*.f64 z (log.f64 t)))
(+.f64 (+.f64 z x) (-.f64 y (*.f64 z (log.f64 t))))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) x))
x
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
(-.f64 (+.f64 z (+.f64 y x)) (*.f64 z (log.f64 t)))
(+.f64 (+.f64 z x) (-.f64 y (*.f64 z (log.f64 t))))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) x))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
(-.f64 (+.f64 z (+.f64 y x)) (*.f64 z (log.f64 t)))
(+.f64 (+.f64 z x) (-.f64 y (*.f64 z (log.f64 t))))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) x))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
(-.f64 (+.f64 z (+.f64 y x)) (*.f64 z (log.f64 t)))
(+.f64 (+.f64 z x) (-.f64 y (*.f64 z (log.f64 t))))
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x
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y
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
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y
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t))))
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z
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z
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(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z)))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
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(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) x))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z)))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
(-.f64 (+.f64 z (+.f64 y x)) (*.f64 z (log.f64 t)))
(+.f64 (+.f64 z x) (-.f64 y (*.f64 z (log.f64 t))))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) x))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z)))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
(-.f64 (+.f64 z (+.f64 y x)) (*.f64 z (log.f64 t)))
(+.f64 (+.f64 z x) (-.f64 y (*.f64 z (log.f64 t))))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) x))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) z)))
(-.f64 (+.f64 y (+.f64 z x)) (.f64 1 (.f64 z (log.f64 t))))
(-.f64 (+.f64 z (+.f64 y x)) (*.f64 z (log.f64 t)))
(+.f64 (+.f64 z x) (-.f64 y (*.f64 z (log.f64 t))))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) x))

localize9.0ms (0%)

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

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`prod-diff_binary64`
572×	`unpow-prod-down_binary64`
416×	`log-prod_binary64`
279×	`fma-def_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	181	8
2	2485	8

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 a 1/2) b))

Outputs

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	253
1	34	253
2	46	253

Stop Event

1×

saturated

Counts

102 → 75

Calls

Call 1

Inputs
(*.f64 (-.f64 a 1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
x
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
x
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 -1/2 b) x)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) x))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) x))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) x))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
x
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(*.f64 (-.f64 a 1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(*.f64 (-.f64 a 1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)

Outputs
(*.f64 (-.f64 a 1/2) b)
(*.f64 (+.f64 a -1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
x
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
x
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 -1/2 b) x)
(fma.f64 -1/2 b x)
(fma.f64 b -1/2 x)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) x))
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) x))
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) x))
(fma.f64 (+.f64 a -1/2) b x)
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 (+.f64 a -1/2) b x)
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 (+.f64 a -1/2) b x)
x
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(*.f64 (-.f64 a 1/2) b)
(*.f64 (+.f64 a -1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(*.f64 (-.f64 a 1/2) b)
(*.f64 (+.f64 a -1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 (+.f64 a -1/2) b x)

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (-.f64 1 (log.f64 t)) z)

Compiler

Compiled 30 to 17 computations (43.3% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(*.f64 (-.f64 1 (log.f64 t)) z)
0.0ms	z	@	-inf	(*.f64 (-.f64 1 (log.f64 t)) z)
0.0ms	z	@	0	(*.f64 (-.f64 1 (log.f64 t)) z)
0.0ms	t	@	0	(*.f64 (-.f64 1 (log.f64 t)) z)
0.0ms	t	@	inf	(*.f64 (-.f64 1 (log.f64 t)) z)

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
633×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
621×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	139	9
2	1689	9

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 (-.f64 1 (log.f64 t)) z)

Outputs

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

simplify147.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3030×	`fma-neg_binary64`
722×	`fma-def_binary64`
542×	`unsub-neg_binary64`
310×	`sub-neg_binary64`
292×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	104
1	40	72
2	84	72
3	214	72
4	616	72
5	1660	72
6	4582	72
7	5968	72
8	6528	72
9	6694	72
10	6755	72
11	6764	72
12	6764	72
13	6772	72

Stop Event

1×	node limit

Counts

27 → 22

Calls

Call 1

Inputs
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)

Outputs
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))
	0.0b	(*.f64 (-.f64 a 1/2) b)
	0.3b	(*.f64 (-.f64 1 (log.f64 t)) z)

Compiler

Compiled 44 to 26 computations (40.9% saved)

series4.0ms (0%)

Counts

1 → 32

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))
0.0ms	t	@	-inf	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))
0.0ms	t	@	inf	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))
0.0ms	b	@	inf	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))
0.0ms	z	@	inf	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`log-prod_binary64`
454×	`fma-def_binary64`
370×	`pow2_binary64`
253×	`pow1/3_binary64`
252×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	281	16
2	3718	16

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))

Outputs

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

simplify161.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1027×	`unsub-neg_binary64`
446×	`fma-def_binary64`
418×	`distribute-neg-in_binary64`
418×	`fma-neg_binary64`
304×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	529
1	82	437
2	147	437
3	313	437
4	888	437
5	2344	437
6	4473	437
7	6043	437
8	7017	437
9	7621	437
10	7871	437
11	7943	437
12	7963	437

Stop Event

1×	node limit

Counts

100 → 82

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(*.f64 (-.f64 a 1/2) b)
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 -1/2 b))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) (*.f64 (-.f64 1 (log.f64 t)) z)))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) (*.f64 (-.f64 1 (log.f64 t)) z)))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) (*.f64 (-.f64 1 (log.f64 t)) z)))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(*.f64 z (-.f64 1 (log.f64 t)))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(*.f64 (-.f64 a 1/2) b)
(*.f64 (-.f64 a 1/2) b)
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))

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

eval243.0ms (1%)

Compiler: Compiled 9546 to 4620 computations (51.6% saved)

prune126.0ms (0.5%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	472	18	490
Fresh	9	7	16
Picked	1	0	1
Done	0	4	4
Total	482	29	511

Error

Counts

511 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	48.4b	x
▶	35.0b	(+.f64 y x)
	28.6b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 (.f64 z (sqrt.f64 (log.f64 t))) (sqrt.f64 (log.f64 t)))) (*.f64 (-.f64 a 1/2) b))
	49.6b	y
▶	30.7b	(fma.f64 (+.f64 a -1/2) b x)
▶	49.3b	(+.f64 y (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2))
✓	55.5b	(*.f64 a b)
✓	30.7b	(+.f64 x (*.f64 (-.f64 a 1/2) b))
	18.3b	(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
	46.4b	(-.f64 z (*.f64 z (log.f64 t)))
	29.2b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (-.f64 1 (log.f64 t))) (.f64 (+.f64 a -1/2) b))
	46.4b	(*.f64 (-.f64 1 (log.f64 t)) z)
▶	44.3b	(+.f64 z (*.f64 (-.f64 a 1/2) b))
	48.9b	(fma.f64 (.f64 (-.f64 1 (log.f64 t)) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (+.f64 a -1/2) b))
	31.6b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (sqrt.f64 (.f64 z (log.f64 t))) 2)) (.f64 (-.f64 a 1/2) b))
	35.8b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b -1/2))
▶	0.4b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (log.f64 t)))) (*.f64 (-.f64 a 1/2) b))
	16.9b	(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
✓	0.4b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (cbrt.f64 (.f64 z (log.f64 t))) 3)) (.f64 (-.f64 a 1/2) b))
	33.5b	(+.f64 y (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t))))
	31.8b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
	37.9b	(+.f64 (*.f64 -1/2 b) x)
	50.5b	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 t)) z) 3)))
	45.2b	(*.f64 (-.f64 a 1/2) b)
✓	33.1b	(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
	16.2b	(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
	16.9b	(+.f64 x (fma.f64 (+.f64 a -1/2) b y))
	42.4b	(+.f64 y (*.f64 a b))
	34.1b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 (.f64 (log.f64 t) (sqrt.f64 z)) (sqrt.f64 z))) (*.f64 (-.f64 a 1/2) b))

Compiler

Compiled 849 to 630 computations (25.8% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (log.f64 t)))
✓	0.4b	(*.f64 (cbrt.f64 z) (log.f64 t))
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.5b	(cbrt.f64 z)

Compiler

Compiled 91 to 35 computations (61.5% saved)

series17.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (log.f64 t)))
2.0ms	t	@	0	(*.f64 (cbrt.f64 z) (log.f64 t))
1.0ms	z	@	-inf	(pow.f64 (cbrt.f64 z) 2)
1.0ms	z	@	-inf	(*.f64 (cbrt.f64 z) (log.f64 t))
1.0ms	z	@	0	(*.f64 (cbrt.f64 z) (log.f64 t))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
667×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	179	23
2	1969	23

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (log.f64 t)))

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

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
537×	`unsub-neg_binary64`
527×	`fma-def_binary64`
347×	`distribute-rgt-out--_binary64`
323×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	240
1	62	240
2	164	240
3	439	240
4	1274	240
5	3216	240
6	5887	240
7	7627	240

Stop Event

1×	node limit

Counts

99 → 70

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 z) 1/3) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (log.f64 t))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 z) 1/3) (log.f64 (/.f64 1 t))))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 z) 1/3) (log.f64 (/.f64 1 t))))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 z) 1/3) (log.f64 (/.f64 1 t))))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 z) 1/3) (log.f64 (/.f64 1 t))))
(.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z)
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z)

Outputs
(.f64 (pow.f64 (.f64 1 z) 1/3) (log.f64 t))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (log.f64 t))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (log.f64 t))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (log.f64 t))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 z) 1/3) (log.f64 (/.f64 1 t))))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 z) 1/3) (log.f64 (/.f64 1 t))))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 z) 1/3) (log.f64 (/.f64 1 t))))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 z) 1/3) (log.f64 (/.f64 1 t))))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(*.f64 (cbrt.f64 z) (log.f64 t))
(.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(*.f64 (cbrt.f64 z) (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(*.f64 z (log.f64 t))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z)
(*.f64 z (log.f64 t))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z)
(*.f64 z (log.f64 t))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z)
(*.f64 z (log.f64 t))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z)
(*.f64 z (log.f64 t))

localize5.0ms (0%)

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`prod-diff_binary64`
572×	`unpow-prod-down_binary64`
416×	`log-prod_binary64`
279×	`fma-def_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	181	8
2	2485	8

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(+.f64 z (*.f64 (-.f64 a 1/2) b))

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	253
1	34	253
2	46	253

Stop Event

1×

saturated

Counts

102 → 75

Calls

Call 1

Inputs
(*.f64 (-.f64 a 1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
z
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
z
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 -1/2 b) z)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) z))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) z))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) z))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
z
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(*.f64 (-.f64 a 1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(*.f64 (-.f64 a 1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)

Outputs
(*.f64 (-.f64 a 1/2) b)
(*.f64 (+.f64 a -1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
z
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
z
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 -1/2 b) z)
(fma.f64 -1/2 b z)
(fma.f64 b -1/2 z)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) z))
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) z))
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) z))
(fma.f64 (+.f64 a -1/2) b z)
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(fma.f64 (+.f64 a -1/2) b z)
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) z))
(fma.f64 (+.f64 a -1/2) b z)
z
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(*.f64 (-.f64 a 1/2) b)
(*.f64 (+.f64 a -1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(*.f64 (-.f64 a 1/2) b)
(*.f64 (+.f64 a -1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)
(+.f64 (*.f64 (-.f64 a 1/2) b) z)
(fma.f64 (+.f64 a -1/2) b z)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (+.f64 a -1/2) b x)

Compiler

Compiled 19 to 12 computations (36.8% saved)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
	0.3b	(*.f64 (-.f64 1 (log.f64 t)) z)

Compiler

Compiled 50 to 31 computations (38% saved)

series9.0ms (0%)

Counts

2 → 20

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
1.0ms	z	@	0	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
1.0ms	t	@	0	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
1.0ms	t	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
1.0ms	t	@	inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`pow1_binary64`
766×	`add-log-exp_binary64`
765×	`log1p-expm1-u_binary64`
765×	`expm1-log1p-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	205	20
2	2134	20

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))

Outputs

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

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

simplify164.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

3030×	`fma-neg_binary64`
724×	`fma-def_binary64`
542×	`unsub-neg_binary64`
311×	`sub-neg_binary64`
292×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	228
1	46	196
2	89	196
3	218	196
4	619	196
5	1655	196
6	4557	196
7	5927	196
8	6477	196
9	6643	196
10	6704	196
11	6713	196
12	6713	196
13	6721	196

Stop Event

1×	node limit

Counts

78 → 64

Calls

Call 1

Inputs
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(sqrt.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z))
(sqrt.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z))
(sqrt.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z))
(sqrt.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z))
(sqrt.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(sqrt.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(sqrt.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(sqrt.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z))

Outputs
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(-.f64 z (*.f64 (log.f64 t) z))
(sqrt.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z))
(sqrt.f64 (*.f64 z (-.f64 1 (neg.f64 (neg.f64 (log.f64 t))))))
(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
(sqrt.f64 (-.f64 z (*.f64 (log.f64 t) z)))
(sqrt.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z))
(sqrt.f64 (*.f64 z (-.f64 1 (neg.f64 (neg.f64 (log.f64 t))))))
(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
(sqrt.f64 (-.f64 z (*.f64 (log.f64 t) z)))
(sqrt.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z))
(sqrt.f64 (*.f64 z (-.f64 1 (neg.f64 (neg.f64 (log.f64 t))))))
(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
(sqrt.f64 (-.f64 z (*.f64 (log.f64 t) z)))
(sqrt.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z))
(sqrt.f64 (*.f64 z (-.f64 1 (neg.f64 (neg.f64 (log.f64 t))))))
(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
(sqrt.f64 (-.f64 z (*.f64 (log.f64 t) z)))
(sqrt.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(sqrt.f64 (*.f64 z (-.f64 1 (neg.f64 (neg.f64 (log.f64 t))))))
(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
(sqrt.f64 (-.f64 z (*.f64 (log.f64 t) z)))
(sqrt.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(sqrt.f64 (*.f64 z (-.f64 1 (neg.f64 (neg.f64 (log.f64 t))))))
(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
(sqrt.f64 (-.f64 z (*.f64 (log.f64 t) z)))
(sqrt.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(sqrt.f64 (*.f64 z (-.f64 1 (neg.f64 (neg.f64 (log.f64 t))))))
(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
(sqrt.f64 (-.f64 z (*.f64 (log.f64 t) z)))
(sqrt.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(sqrt.f64 (*.f64 z (-.f64 1 (neg.f64 (neg.f64 (log.f64 t))))))
(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
(sqrt.f64 (-.f64 z (*.f64 (log.f64 t) z)))

eval96.0ms (0.4%)

Compiler: Compiled 5131 to 2834 computations (44.8% saved)

prune83.0ms (0.3%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	300	6	306
Fresh	5	15	20
Picked	0	1	1
Done	2	6	8
Total	307	28	335

Error

Counts

335 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	48.4b	x
✓	35.0b	(+.f64 y x)
	28.6b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 (.f64 z (sqrt.f64 (log.f64 t))) (sqrt.f64 (log.f64 t)))) (*.f64 (-.f64 a 1/2) b))
	49.6b	y
✓	30.7b	(fma.f64 (+.f64 a -1/2) b x)
	61.4b	z
	50.4b	(+.f64 y (.f64 (.f64 (-.f64 1 (log.f64 t)) (sqrt.f64 z)) (sqrt.f64 z)))
✓	49.3b	(+.f64 y (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2))
✓	55.5b	(*.f64 a b)
✓	30.7b	(+.f64 x (*.f64 (-.f64 a 1/2) b))
▶	18.3b	(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
	50.5b	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 t)) z) 3)))
▶	16.2b	(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
	31.6b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (sqrt.f64 (.f64 z (log.f64 t))) 2)) (.f64 (-.f64 a 1/2) b))
	35.8b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b -1/2))
▶	16.9b	(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
✓	0.4b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (cbrt.f64 (.f64 z (log.f64 t))) 3)) (.f64 (-.f64 a 1/2) b))
	31.8b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
▶	33.5b	(+.f64 y (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t))))
	33.4b	(+.f64 y (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (-.f64 1 (log.f64 t)))))
	34.1b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 (.f64 (log.f64 t) (sqrt.f64 z)) (sqrt.f64 z))) (*.f64 (-.f64 a 1/2) b))
	37.9b	(+.f64 (*.f64 -1/2 b) x)
	51.1b	(+.f64 (*.f64 -1/2 b) z)
✓	33.1b	(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
	46.4b	(-.f64 z (*.f64 z (log.f64 t)))
	46.4b	(*.f64 (-.f64 1 (log.f64 t)) z)
	16.9b	(+.f64 x (fma.f64 (+.f64 a -1/2) b y))
▶	42.4b	(+.f64 y (*.f64 a b))

Compiler

Compiled 724 to 540 computations (25.4% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 18 computations (53.8% saved)

series5.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`fma-def_binary64`
670×	`log-prod_binary64`
392×	`fma-neg_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	283	14
2	4285	14

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

139×	`associate-+l+_binary64`
74×	`fma-def_binary64`
71×	`associate-+r+_binary64`
48×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	709
1	64	709
2	156	709
3	289	709
4	390	709

Stop Event

1×

saturated

Counts

149 → 109

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (*.f64 a b))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.2%)

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 y (*.f64 a b))

Outputs

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

simplify12.0ms (0.1%)

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 a b)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
y
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
y
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
y
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(*.f64 a b)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(*.f64 a b)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
y
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(*.f64 a b)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(*.f64 a b)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)
(+.f64 (*.f64 a b) y)

Outputs
(*.f64 a b)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
y
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
y
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
y
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(*.f64 a b)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(*.f64 a b)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
y
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(*.f64 a b)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(*.f64 a b)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 17 computations (45.2% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`fma-def_binary64`
543×	`log-prod_binary64`
421×	`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	3379	11

Stop Event

1×	node limit

Counts

1 → 87

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`fma-def_binary64`
25×	`associate-+l+_binary64`
18×	`+-commutative_binary64`
18×	`associate-+r+_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	450
1	48	450
2	93	450
3	123	450
4	127	450

Stop Event

1×

saturated

Counts

135 → 104

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
	0.3b	(*.f64 (-.f64 1 (log.f64 t)) z)

Compiler

Compiled 41 to 22 computations (46.3% saved)

series3.0ms (0%)

Counts

1 → 23

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
0.0ms	t	@	inf	(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
0.0ms	t	@	-inf	(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
0.0ms	z	@	inf	(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

943×	`prod-diff_binary64`
444×	`log-prod_binary64`
308×	`fma-def_binary64`
298×	`pow-prod-down_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	189	10
2	2517	10

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify237.0ms (1%)

Algorithm

1×	egg-herbie

Rules

988×	`distribute-rgt-in_binary64`
788×	`unsub-neg_binary64`
437×	`sub-neg_binary64`
399×	`distribute-neg-in_binary64`
374×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	268
1	54	200
2	100	200
3	242	200
4	700	200
5	1886	200
6	4551	200
7	6149	200
8	6988	200
9	7394	200
10	7579	200
11	7617	200
12	7623	200
13	7623	200
14	7623	200
15	7646	200
16	7646	200

Stop Event

1×	node limit

Counts

81 → 65

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z) x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z) x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z) x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
x
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 z (-.f64 1 (log.f64 t)))
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
x
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
x
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)

Outputs
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
x
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
x
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
x
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (pow.f64 (log.f64 t) 2))
✓	0.2b	(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z)
✓	0.5b	(pow.f64 (log.f64 t) 2)
✓	0.8b	(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t)))

Compiler

Compiled 63 to 39 computations (38.1% saved)

series23.0ms (0.1%)

Counts

4 → 32

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(-.f64 1 (pow.f64 (log.f64 t) 2))
3.0ms	t	@	-inf	(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t)))
2.0ms	t	@	0	(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t)))
2.0ms	t	@	inf	(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t)))
2.0ms	z	@	0	(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t)))

rewrite131.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
380×	`prod-diff_binary64`
353×	`pow-prod-down_binary64`
293×	`pow2_binary64`
248×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	238	36
2	3195	36

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t)))
(pow.f64 (log.f64 t) 2)
(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z)
(-.f64 1 (pow.f64 (log.f64 t) 2))

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
696×	`times-frac_binary64`
585×	`distribute-rgt-in_binary64`
502×	`distribute-lft-in_binary64`
422×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	472
1	57	440
2	136	440
3	449	376
4	2196	376

Stop Event

1×	node limit

Counts

184 → 164

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))))
(pow.f64 (log.f64 (/.f64 1 t)) 2)
(pow.f64 (log.f64 (/.f64 1 t)) 2)
(pow.f64 (log.f64 (/.f64 1 t)) 2)
(pow.f64 (log.f64 (/.f64 1 t)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2)
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z)
(.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z)
(.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z)
(.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z)
(.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z)
(-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2))
(-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2))
(-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2))
(-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2))
(-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2))
(-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2))
(-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2))
(-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2))

Outputs
(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) (/.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) (+.f64 1 (log.f64 t))) z)
(.f64 (/.f64 z (+.f64 1 (log.f64 t))) (-.f64 1 (.f64 (log.f64 t) (log.f64 t))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) (/.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) (+.f64 1 (log.f64 t))) z)
(.f64 (/.f64 z (+.f64 1 (log.f64 t))) (-.f64 1 (.f64 (log.f64 t) (log.f64 t))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) (/.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) (+.f64 1 (log.f64 t))) z)
(.f64 (/.f64 z (+.f64 1 (log.f64 t))) (-.f64 1 (.f64 (log.f64 t) (log.f64 t))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z) (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) (/.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) (+.f64 1 (log.f64 t))) z)
(.f64 (/.f64 z (+.f64 1 (log.f64 t))) (-.f64 1 (.f64 (log.f64 t) (log.f64 t))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) (/.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) (+.f64 1 (log.f64 t))) z)
(.f64 (/.f64 z (+.f64 1 (log.f64 t))) (-.f64 1 (.f64 (log.f64 t) (log.f64 t))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) (/.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) (+.f64 1 (log.f64 t))) z)
(.f64 (/.f64 z (+.f64 1 (log.f64 t))) (-.f64 1 (.f64 (log.f64 t) (log.f64 t))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) (/.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) (+.f64 1 (log.f64 t))) z)
(.f64 (/.f64 z (+.f64 1 (log.f64 t))) (-.f64 1 (.f64 (log.f64 t) (log.f64 t))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) (/.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) (+.f64 1 (log.f64 t))) z)
(.f64 (/.f64 z (+.f64 1 (log.f64 t))) (-.f64 1 (.f64 (log.f64 t) (log.f64 t))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t))))
(pow.f64 (log.f64 (/.f64 1 t)) 2)
(pow.f64 (neg.f64 (log.f64 t)) 2)
(*.f64 (log.f64 t) (log.f64 t))
(pow.f64 (log.f64 t) 2)
(pow.f64 (log.f64 (/.f64 1 t)) 2)
(pow.f64 (neg.f64 (log.f64 t)) 2)
(*.f64 (log.f64 t) (log.f64 t))
(pow.f64 (log.f64 t) 2)
(pow.f64 (log.f64 (/.f64 1 t)) 2)
(pow.f64 (neg.f64 (log.f64 t)) 2)
(*.f64 (log.f64 t) (log.f64 t))
(pow.f64 (log.f64 t) 2)
(pow.f64 (log.f64 (/.f64 1 t)) 2)
(pow.f64 (neg.f64 (log.f64 t)) 2)
(*.f64 (log.f64 t) (log.f64 t))
(pow.f64 (log.f64 t) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2)
(pow.f64 (neg.f64 (log.f64 t)) 2)
(*.f64 (log.f64 t) (log.f64 t))
(pow.f64 (log.f64 t) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2)
(pow.f64 (neg.f64 (log.f64 t)) 2)
(*.f64 (log.f64 t) (log.f64 t))
(pow.f64 (log.f64 t) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2)
(pow.f64 (neg.f64 (log.f64 t)) 2)
(*.f64 (log.f64 t) (log.f64 t))
(pow.f64 (log.f64 t) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2)
(pow.f64 (neg.f64 (log.f64 t)) 2)
(*.f64 (log.f64 t) (log.f64 t))
(pow.f64 (log.f64 t) 2)
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) z)
(.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) z)
(-.f64 z (*.f64 (pow.f64 (log.f64 t) 2) z))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) z)
(.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) z)
(-.f64 z (*.f64 (pow.f64 (log.f64 t) 2) z))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) z)
(.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) z)
(-.f64 z (*.f64 (pow.f64 (log.f64 t) 2) z))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) z)
(.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) z)
(-.f64 z (*.f64 (pow.f64 (log.f64 t) 2) z))
(.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) z)
(.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) z)
(-.f64 z (*.f64 (pow.f64 (log.f64 t) 2) z))
(.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) z)
(.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) z)
(-.f64 z (*.f64 (pow.f64 (log.f64 t) 2) z))
(.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) z)
(.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) z)
(-.f64 z (*.f64 (pow.f64 (log.f64 t) 2) z))
(.f64 (-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2)) z)
(*.f64 (-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2)) z)
(.f64 (-.f64 1 (.f64 (log.f64 t) (log.f64 t))) z)
(-.f64 z (*.f64 (pow.f64 (log.f64 t) 2) z))
(-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2))
(-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2))
(-.f64 1 (*.f64 (log.f64 t) (log.f64 t)))
(-.f64 1 (pow.f64 (log.f64 t) 2))
(-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2))
(-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2))
(-.f64 1 (*.f64 (log.f64 t) (log.f64 t)))
(-.f64 1 (pow.f64 (log.f64 t) 2))
(-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2))
(-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2))
(-.f64 1 (*.f64 (log.f64 t) (log.f64 t)))
(-.f64 1 (pow.f64 (log.f64 t) 2))
(-.f64 1 (pow.f64 (log.f64 (/.f64 1 t)) 2))
(-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2))
(-.f64 1 (*.f64 (log.f64 t) (log.f64 t)))
(-.f64 1 (pow.f64 (log.f64 t) 2))
(-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2))
(-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2))
(-.f64 1 (*.f64 (log.f64 t) (log.f64 t)))
(-.f64 1 (pow.f64 (log.f64 t) 2))
(-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2))
(-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2))
(-.f64 1 (*.f64 (log.f64 t) (log.f64 t)))
(-.f64 1 (pow.f64 (log.f64 t) 2))
(-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2))
(-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2))
(-.f64 1 (*.f64 (log.f64 t) (log.f64 t)))
(-.f64 1 (pow.f64 (log.f64 t) 2))
(-.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))) 2))
(-.f64 1 (pow.f64 (neg.f64 (log.f64 t)) 2))
(-.f64 1 (*.f64 (log.f64 t) (log.f64 t)))
(-.f64 1 (pow.f64 (log.f64 t) 2))

eval293.0ms (1.2%)

Compiler: Compiled 8891 to 4901 computations (44.9% saved)

prune240.0ms (1%)

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	534	12	546
Fresh	7	9	16
Picked	0	1	1
Done	3	8	11
Total	544	30	574

Error

Counts

574 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	16.9b	(+.f64 x (fma.f64 (+.f64 a -1/2) b y))
	37.9b	(+.f64 (*.f64 -1/2 b) x)
	28.6b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 (.f64 z (sqrt.f64 (log.f64 t))) (sqrt.f64 (log.f64 t)))) (*.f64 (-.f64 a 1/2) b))
✓	35.0b	(+.f64 y x)
	31.1b	(+.f64 (*.f64 (-.f64 a 1/2) b) (+.f64 y z))
	50.4b	(+.f64 y (.f64 (.f64 (-.f64 1 (log.f64 t)) (sqrt.f64 z)) (sqrt.f64 z)))
✓	33.1b	(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
	49.6b	y
✓	49.3b	(+.f64 y (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2))
✓	55.5b	(*.f64 a b)
	24.4b	(+.f64 (+.f64 y x) (*.f64 b -1/2))
✓	30.7b	(+.f64 x (*.f64 (-.f64 a 1/2) b))
✓	18.3b	(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
	61.4b	z
	46.4b	(*.f64 (-.f64 1 (log.f64 t)) z)
	50.5b	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 t)) z) 3)))
	42.4b	(fma.f64 b a y)
	33.1b	(+.f64 y (pow.f64 (/.f64 1 (*.f64 (-.f64 1 (log.f64 t)) z)) -1))
	33.1b	(+.f64 y (.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (.f64 z (/.f64 1 (+.f64 1 (log.f64 t))))))
	48.4b	x
	35.8b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b -1/2))
	33.1b	(+.f64 y (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) z))))
	34.2b	(+.f64 y (+.f64 z x))
	33.1b	(+.f64 y (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t)))))
✓	33.5b	(+.f64 y (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t))))
	33.4b	(+.f64 y (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (-.f64 1 (log.f64 t)))))
✓	30.7b	(fma.f64 (+.f64 a -1/2) b x)
	51.1b	(+.f64 (*.f64 -1/2 b) z)
	46.4b	(-.f64 z (*.f64 z (log.f64 t)))
✓	42.4b	(+.f64 y (*.f64 a b))

Compiler

Compiled 435 to 334 computations (23.2% saved)

regimes1.0s (4.2%)

Counts

59 → 1

Calls

Call 1

Inputs
y
z
x
z
x
y
(+.f64 y x)
(*.f64 a b)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 b) z)
(+.f64 (*.f64 -1/2 b) x)
(*.f64 (-.f64 a 1/2) b)
(+.f64 y (*.f64 a b))
(+.f64 (+.f64 y x) (*.f64 b -1/2))
(+.f64 z (*.f64 (-.f64 a 1/2) b))
(+.f64 y (*.f64 (-.f64 a 1/2) b))
(+.f64 y (*.f64 (-.f64 a 1/2) b))
(+.f64 x (*.f64 (-.f64 a 1/2) b))
(+.f64 (*.f64 (-.f64 a 1/2) b) (+.f64 y z))
(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
(fma.f64 b a y)
(fma.f64 (+.f64 a -1/2) b x)
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(+.f64 x (fma.f64 (+.f64 a -1/2) b y))
(+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))
(+.f64 y (fma.f64 (-.f64 a 1/2) b x))
(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 x (fma.f64 (+.f64 a -1/2) b y))
(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b -1/2))
(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 y (pow.f64 (/.f64 1 (*.f64 (-.f64 1 (log.f64 t)) z)) -1))
(+.f64 y (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 t)) z) 3)))
(+.f64 y (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2))
(+.f64 y (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 t)) z) 3)))
(+.f64 y (.f64 (.f64 (-.f64 1 (log.f64 t)) (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x)))
(+.f64 y (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 z (+.f64 1 (log.f64 t)))))
(+.f64 y (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t))))
(+.f64 y (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t))))
(+.f64 y (.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (.f64 z (/.f64 1 (+.f64 1 (log.f64 t))))))
(+.f64 y (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 1 (/.f64 (+.f64 1 (log.f64 t)) z))))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (sqrt.f64 (.f64 z (log.f64 t))) 2)) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (cbrt.f64 (.f64 z (log.f64 t))) 3)) (.f64 (-.f64 a 1/2) b))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))) 2) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 (.f64 (log.f64 t) (sqrt.f64 z)) (sqrt.f64 z))) (*.f64 (-.f64 a 1/2) b))
(+.f64 y (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (-.f64 1 (log.f64 t)))))
(fma.f64 (.f64 (-.f64 1 (log.f64 t)) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (+.f64 a -1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 (.f64 z (sqrt.f64 (log.f64 t))) (sqrt.f64 (log.f64 t)))) (*.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (log.f64 t)))) (*.f64 (-.f64 a 1/2) b))
(+.f64 (.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 z y)) 2) (pow.f64 (.f64 z (log.f64 t)) 2)) (/.f64 1 (+.f64 (.f64 z (log.f64 t)) (+.f64 x (+.f64 z y))))) (.f64 (-.f64 a 1/2) b))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (-.f64 1 (log.f64 t))) (.f64 (+.f64 a -1/2) b))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 (log.f64 t))) (+.f64 (fma.f64 (+.f64 a -1/2) b x) y))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (-.f64 1 (log.f64 t))) (+.f64 (fma.f64 (+.f64 a -1/2) b x) y))
(fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 (log.f64 t)))) (sqrt.f64 (-.f64 1 (log.f64 t))) (+.f64 (fma.f64 (+.f64 a -1/2) b x) y))

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

Calls

16 calls:

73.0ms	(+.f64 x y)
73.0ms	(*.f64 (-.f64 a 1/2) b)
73.0ms	(log.f64 t)
72.0ms	t
71.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`t`
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))`
0.1b	1	`(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))`
0.1b	1	`(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))`
0.1b	1	`(+.f64 x y)`
0.1b	1	`(+.f64 x y)`
0.1b	1	`(log.f64 t)`
0.1b	1	`(*.f64 (-.f64 a 1/2) b)`
0.1b	1	`(*.f64 (-.f64 a 1/2) b)`
0.1b	1	`(-.f64 a 1/2)`
0.1b	1	`(-.f64 a 1/2)`

Compiler

Compiled 796 to 448 computations (43.7% saved)

regimes564.0ms (2.3%)

Counts

40 → 1

Calls

Call 1

Inputs
y
z
x
z
x
y
(+.f64 y x)
(*.f64 a b)
(+.f64 y (+.f64 z x))
(+.f64 (*.f64 -1/2 b) z)
(+.f64 (*.f64 -1/2 b) x)
(*.f64 (-.f64 a 1/2) b)
(+.f64 y (*.f64 a b))
(+.f64 (+.f64 y x) (*.f64 b -1/2))
(+.f64 z (*.f64 (-.f64 a 1/2) b))
(+.f64 y (*.f64 (-.f64 a 1/2) b))
(+.f64 y (*.f64 (-.f64 a 1/2) b))
(+.f64 x (*.f64 (-.f64 a 1/2) b))
(+.f64 (*.f64 (-.f64 a 1/2) b) (+.f64 y z))
(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
(fma.f64 b a y)
(fma.f64 (+.f64 a -1/2) b x)
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(+.f64 x (fma.f64 (+.f64 a -1/2) b y))
(+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))
(+.f64 y (fma.f64 (-.f64 a 1/2) b x))
(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 x (fma.f64 (+.f64 a -1/2) b y))
(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b -1/2))
(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 y (pow.f64 (/.f64 1 (*.f64 (-.f64 1 (log.f64 t)) z)) -1))
(+.f64 y (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 t)) z) 3)))
(+.f64 y (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2))
(+.f64 y (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 t)) z) 3)))
(+.f64 y (.f64 (.f64 (-.f64 1 (log.f64 t)) (sqrt.f64 z)) (sqrt.f64 z)))

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

Calls

12 calls:

49.0ms	a
49.0ms	y
48.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
47.0ms	b
47.0ms	t

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`t`
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))`
0.1b	1	`(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))`
0.1b	1	`(+.f64 x y)`
0.1b	1	`(log.f64 t)`
0.1b	1	`(*.f64 (-.f64 a 1/2) b)`
0.1b	1	`(-.f64 a 1/2)`

Compiler

Compiled 400 to 239 computations (40.3% saved)

regimes1.9s (8%)

Counts

34 → 4

Calls

Call 1

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

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

Calls

9 calls:

403.0ms	a
383.0ms	(log.f64 t)
299.0ms	(*.f64 (-.f64 a 1/2) b)
269.0ms	t
178.0ms	b

Results

Error	Segments	Branch
10.0b	7	`x`
8.8b	10	`y`
3.9b	4	`z`
8.6b	9	`t`
11.6b	7	`a`
6.8b	3	`b`
8.6b	9	`(log.f64 t)`
6.3b	3	`(*.f64 (-.f64 a 1/2) b)`
16.2b	1	`(-.f64 a 1/2)`

Compiler

Compiled 280 to 164 computations (41.4% saved)

bsearch95.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
32.0ms	1.838058303350359e+191	7.088712021427915e+191
31.0ms	1.1985802653249373e+162	1.881199116718915e+162
32.0ms	-1.079000798125049e+115	-1.4647571849075647e+110

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes1.6s (6.5%)

Counts

33 → 5

Calls

Call 1

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

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

Calls

9 calls:

352.0ms	a
300.0ms	x
210.0ms	(log.f64 t)
185.0ms	t
164.0ms	y

Results

Error	Segments	Branch
9.8b	13	`x`
11.9b	6	`y`
4.4b	5	`z`
8.6b	9	`t`
11.6b	7	`a`
6.8b	3	`b`
8.6b	9	`(log.f64 t)`
6.3b	3	`(*.f64 (-.f64 a 1/2) b)`
16.2b	1	`(-.f64 a 1/2)`

Compiler

Compiled 268 to 157 computations (41.4% saved)

bsearch141.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	1.838058303350359e+191	7.088712021427915e+191
32.0ms	5.780535559917467e+171	1.1272917548880851e+173
32.0ms	7.231178101157275e+110	3.4832077831954146e+113
46.0ms	-1.079000798125049e+115	-1.4647571849075647e+110

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes1.4s (5.9%)

Counts

32 → 5

Calls

Call 1

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

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

Calls

10 calls:

284.0ms	y
276.0ms	z
200.0ms	(*.f64 (-.f64 a 1/2) b)
193.0ms	x
117.0ms	a

Results

Error	Segments	Branch
12.1b	7	`x`
11.9b	7	`y`
4.9b	5	`z`
13.1b	5	`t`
11.8b	8	`a`
12.2b	5	`b`
13.1b	5	`(log.f64 t)`
12.5b	6	`(*.f64 (-.f64 a 1/2) b)`
12.5b	6	`(*.f64 (-.f64 a 1/2) b)`
16.2b	1	`(-.f64 a 1/2)`

Compiler

Compiled 269 to 161 computations (40.1% saved)

bsearch128.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	1.838058303350359e+191	7.088712021427915e+191
32.0ms	5.780535559917467e+171	1.1272917548880851e+173
31.0ms	1.1985802653249373e+162	1.881199116718915e+162
32.0ms	-1.079000798125049e+115	-1.4647571849075647e+110

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes1.5s (6.3%)

Counts

31 → 5

Calls

Call 1

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

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

Calls

9 calls:

417.0ms	y
344.0ms	z
190.0ms	b
163.0ms	(log.f64 t)
155.0ms	x

Results

Error	Segments	Branch
14.0b	5	`x`
12.6b	7	`y`
5.9b	5	`z`
13.1b	5	`t`
14.9b	3	`a`
12.2b	5	`b`
13.1b	5	`(log.f64 t)`
13.5b	3	`(*.f64 (-.f64 a 1/2) b)`
16.2b	1	`(-.f64 a 1/2)`

Compiler

Compiled 248 to 146 computations (41.1% saved)

bsearch239.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
66.0ms	1.838058303350359e+191	7.088712021427915e+191
57.0ms	5.780535559917467e+171	1.1272917548880851e+173
57.0ms	1.1985802653249373e+162	1.881199116718915e+162
59.0ms	-3.176579558185877e+74	-9.89780971452777e+67

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes854.0ms (3.6%)

Counts

29 → 5

Calls

Call 1

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

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

Calls

9 calls:

159.0ms	b
149.0ms	(log.f64 t)
103.0ms	(*.f64 (-.f64 a 1/2) b)
99.0ms	y
89.0ms	a

Results

Error	Segments	Branch
14.0b	5	`x`
12.6b	7	`y`
5.9b	5	`z`
13.1b	5	`t`
14.9b	3	`a`
12.2b	5	`b`
13.1b	5	`(log.f64 t)`
13.5b	3	`(*.f64 (-.f64 a 1/2) b)`
16.2b	1	`(-.f64 a 1/2)`

Compiler

Compiled 232 to 138 computations (40.5% saved)

bsearch145.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
51.0ms	1.838058303350359e+191	7.088712021427915e+191
31.0ms	5.780535559917467e+171	1.1272917548880851e+173
32.0ms	1.1985802653249373e+162	1.881199116718915e+162
31.0ms	-3.176579558185877e+74	-9.89780971452777e+67

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes343.0ms (1.4%)

Counts

27 → 5

Calls

Call 1

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

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

Calls

9 calls:

74.0ms	z
62.0ms	(log.f64 t)
61.0ms	t
60.0ms	y
16.0ms	(*.f64 (-.f64 a 1/2) b)

Results

Error	Segments	Branch
16.2b	1	`x`
13.9b	5	`y`
7.3b	5	`z`
13.3b	5	`t`
16.2b	1	`a`
16.2b	1	`b`
13.3b	5	`(log.f64 t)`
16.2b	1	`(*.f64 (-.f64 a 1/2) b)`
16.2b	1	`(-.f64 a 1/2)`

Compiler

Compiled 216 to 131 computations (39.4% saved)

bsearch124.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	1.838058303350359e+191	7.088712021427915e+191
31.0ms	5.780535559917467e+171	1.1272917548880851e+173
31.0ms	1.1985802653249373e+162	1.881199116718915e+162
31.0ms	-1.079000798125049e+115	-1.4647571849075647e+110

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes667.0ms (2.8%)

Counts

25 → 5

Calls

Call 1

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

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

Calls

9 calls:

155.0ms	z
135.0ms	(log.f64 t)
131.0ms	y
126.0ms	t
31.0ms	x

Results

Error	Segments	Branch
16.2b	1	`x`
13.9b	5	`y`
7.3b	5	`z`
13.3b	5	`t`
16.2b	1	`a`
16.2b	1	`b`
13.3b	5	`(log.f64 t)`
16.2b	1	`(*.f64 (-.f64 a 1/2) b)`
16.2b	1	`(-.f64 a 1/2)`

Compiler

Compiled 202 to 124 computations (38.6% saved)

bsearch220.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
55.0ms	1.838058303350359e+191	7.088712021427915e+191
55.0ms	5.780535559917467e+171	1.1272917548880851e+173
55.0ms	1.1985802653249373e+162	1.881199116718915e+162
55.0ms	-1.079000798125049e+115	-1.4647571849075647e+110

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes120.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

8 calls:

17.0ms	(-.f64 a 1/2)
14.0ms	y
14.0ms	z
14.0ms	t
14.0ms	(*.f64 (-.f64 a 1/2) b)

Results

Error	Segments	Branch
16.2b	1	`x`
16.2b	1	`y`
16.2b	1	`z`
16.2b	1	`t`
16.2b	1	`a`
16.2b	1	`b`
16.2b	1	`(*.f64 (-.f64 a 1/2) b)`
16.2b	1	`(-.f64 a 1/2)`

Compiler

Compiled 188 to 114 computations (39.4% saved)

regimes96.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	t
12.0ms	x
12.0ms	y
12.0ms	(*.f64 (-.f64 a 1/2) b)
12.0ms	z

Results

Error	Segments	Branch
16.9b	1	`x`
16.9b	1	`y`
16.9b	1	`z`
16.9b	1	`t`
16.9b	1	`a`
16.9b	1	`b`
16.9b	1	`(*.f64 (-.f64 a 1/2) b)`
16.9b	1	`(-.f64 a 1/2)`

Compiler

Compiled 167 to 105 computations (37.1% saved)

regimes468.0ms (1.9%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

9 calls:

81.0ms	z
64.0ms	y
63.0ms	t
63.0ms	a
62.0ms	(*.f64 (-.f64 a 1/2) b)

Results

Error	Segments	Branch
18.4b	2	`x`
19.1b	3	`y`
22.2b	4	`z`
23.0b	3	`t`
22.9b	2	`a`
22.9b	2	`b`
20.2b	3	`(*.f64 (-.f64 a 1/2) b)`
20.2b	3	`(*.f64 (-.f64 a 1/2) b)`
22.9b	2	`(-.f64 a 1/2)`

Compiler

Compiled 160 to 106 computations (33.8% saved)

bsearch60.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	-6.771902468724151e+96	-2.103577861337687e+94

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes292.0ms (1.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

9 calls:

62.0ms	(*.f64 (-.f64 a 1/2) b)
59.0ms	(*.f64 (-.f64 a 1/2) b)
32.0ms	(-.f64 a 1/2)
29.0ms	b
27.0ms	t

Results

Error	Segments	Branch
19.0b	2	`x`
20.2b	2	`y`
24.4b	1	`z`
23.1b	3	`t`
22.9b	2	`a`
22.9b	2	`b`
20.2b	3	`(*.f64 (-.f64 a 1/2) b)`
20.2b	3	`(*.f64 (-.f64 a 1/2) b)`
22.9b	2	`(-.f64 a 1/2)`

Compiler

Compiled 151 to 101 computations (33.1% saved)

bsearch32.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	-496662091710.70233	-102122859803.84135

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes272.0ms (1.1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

10 calls:

70.0ms	a
68.0ms	t
26.0ms	(*.f64 (-.f64 a 1/2) b)
24.0ms	(*.f64 (-.f64 a 1/2) b)
24.0ms	x

Results

Error	Segments	Branch
23.2b	3	`x`
24.4b	1	`y`
24.4b	1	`z`
24.4b	1	`t`
23.1b	2	`a`
24.4b	1	`b`
21.1b	3	`(*.f64 (-.f64 a 1/2) b)`
21.1b	3	`(*.f64 (-.f64 a 1/2) b)`
23.1b	2	`(-.f64 a 1/2)`
23.1b	2	`(-.f64 a 1/2)`

Compiler

Compiled 139 to 97 computations (30.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7280395002479615e+241	1.3877897431619241e+249
0.0ms	-2.5925289642981144e+246	-8.04237237090524e+231

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes230.0ms (1%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

10 calls:

87.0ms	(*.f64 (-.f64 a 1/2) b)
23.0ms	(*.f64 (-.f64 a 1/2) b)
22.0ms	a
22.0ms	x
14.0ms	(-.f64 a 1/2)

Results

Error	Segments	Branch
23.2b	3	`x`
24.4b	1	`y`
24.4b	1	`z`
24.4b	1	`t`
23.1b	2	`a`
24.4b	1	`b`
21.1b	3	`(*.f64 (-.f64 a 1/2) b)`
21.1b	3	`(*.f64 (-.f64 a 1/2) b)`
23.1b	2	`(-.f64 a 1/2)`
23.1b	2	`(-.f64 a 1/2)`

Compiler

Compiled 132 to 93 computations (29.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7280395002479615e+241	1.3877897431619241e+249
0.0ms	-2.5925289642981144e+246	-8.04237237090524e+231

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes700.0ms (2.9%)

Counts

13 → 4

Calls

Call 1

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

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

Calls

10 calls:

176.0ms	x
146.0ms	y
113.0ms	z
72.0ms	t
53.0ms	(-.f64 a 1/2)

Results

Error	Segments	Branch
25.8b	6	`x`
24.8b	6	`y`
30.3b	7	`z`
29.8b	7	`t`
29.2b	4	`a`
26.8b	3	`b`
24.6b	4	`(*.f64 (-.f64 a 1/2) b)`
24.6b	4	`(*.f64 (-.f64 a 1/2) b)`
29.7b	4	`(-.f64 a 1/2)`
29.7b	4	`(-.f64 a 1/2)`

Compiler

Compiled 125 to 90 computations (28% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.7280395002479615e+241	1.3877897431619241e+249
0.0ms	1.2044740116895477e+69	2.649064612093275e+74
0.0ms	-2.282022058320515e+164	-6.398451248098266e+158

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes407.0ms (1.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

6 calls:

118.0ms	x
82.0ms	t
73.0ms	y
65.0ms	a
47.0ms	b

Results

Error	Segments	Branch
31.4b	4	`x`
27.1b	2	`y`
34.2b	1	`z`
31.4b	5	`t`
30.4b	3	`a`
27.0b	3	`b`

Compiler

Compiled 75 to 52 computations (30.7% saved)

bsearch710.0ms (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
193.0ms	3.581614273813202e+144	1.7462687195984802e+150
517.0ms	-1.1316012917006066e+90	-5.793230486286126e+77

Compiler

Compiled 487 to 384 computations (21.1% saved)

regimes93.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

6 calls:

25.0ms	b
18.0ms	x
17.0ms	y
16.0ms	a
7.0ms	t

Results

Error	Segments	Branch
32.4b	3	`x`
32.7b	3	`y`
34.2b	1	`z`
34.2b	1	`t`
32.8b	3	`a`
28.6b	3	`b`

Compiler

Compiled 70 to 49 computations (30% saved)

bsearch160.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	5.077802167764567e+162	2.5934996166631358e+165
76.0ms	-5.278529116794112e+171	-1.4176031336328746e+170

Compiler

Compiled 391 to 308 computations (21.2% saved)

regimes42.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(+.f64 y (+.f64 z x))

Calls

6 calls:

7.0ms	z
7.0ms	b
7.0ms	x
6.0ms	a
6.0ms	t

Results

Error	Segments	Branch
34.2b	1	`x`
34.2b	1	`y`
34.2b	1	`z`
34.2b	1	`t`
34.2b	1	`a`
34.2b	1	`b`

Compiler

Compiled 65 to 46 computations (29.2% saved)

regimes38.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(+.f64 y x)

Calls

6 calls:

6.0ms	y
6.0ms	a
6.0ms	t
6.0ms	z
6.0ms	b

Results

Error	Segments	Branch
35.0b	1	`x`
35.0b	1	`y`
35.0b	1	`z`
35.0b	1	`t`
35.0b	1	`a`
35.0b	1	`b`

Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes302.0ms (1.3%)

Counts

6 → 2

Calls

Call 1

Inputs
y
z
x
z
x
y

Outputs
x
y

Calls

6 calls:

68.0ms	z
67.0ms	x
63.0ms	b
50.0ms	t
30.0ms	a

Results

Error	Segments	Branch
37.4b	2	`x`
38.7b	2	`y`
45.5b	3	`z`
44.4b	4	`t`
47.2b	3	`a`
45.0b	5	`b`

Compiler

Compiled 54 to 42 computations (22.2% saved)

bsearch96.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
96.0ms	-1.2991976777127133e+73	-1.0762463610299997e+73

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes47.0ms (0.2%)

Accuracy

Total -13.2b remaining (-26.5%)

Threshold costs -13.2b (-26.5%)

Counts

2 → 1

Calls

Call 1

Inputs
y
z

Outputs
y

Calls

6 calls:

10.0ms	t
7.0ms	x
7.0ms	z
7.0ms	y
7.0ms	b

Results

Error	Segments	Branch
49.6b	1	`x`
49.6b	1	`y`
49.6b	1	`z`
49.6b	1	`t`
49.6b	1	`a`
49.6b	1	`b`

Compiler

Compiled 50 to 42 computations (16% saved)

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

29×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`*-commutative_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	981
1	168	981
2	181	981
3	187	981
4	190	981

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x)))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b)) (+.f64 y (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x)))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b -1/2)) (if (<=.f64 z 723117810115727499197671420626820220963495212797038697375978509471344843742730419530005490658811397767337869312) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (+.f64 y (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x)) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (+.f64 y (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x))))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b -1/2)) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (+.f64 y (.f64 (-.f64 1 (log.f64 t)) z))))))
(if (<=.f64 z -317657955818587720162925721755210544793329523928047581412085175214617395200) (+.f64 y (.f64 (-.f64 1 (log.f64 t)) z)) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))))))
(if (<=.f64 z -317657955818587720162925721755210544793329523928047581412085175214617395200) (+.f64 y (-.f64 z (.f64 (log.f64 t) z))) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (.f64 (-.f64 1 (log.f64 t)) z) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (*.f64 (-.f64 1 (log.f64 t)) z)))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (-.f64 z (*.f64 z (log.f64 t)))))))
(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
(if (<=.f64 x -6771902468724151256238240034288805063216847876138379316274509648228895316468914181899727132426240) (+.f64 (+.f64 y x) (.f64 b -1/2)) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)))
(if (<=.f64 x -8137311710588147/16384) (+.f64 (+.f64 y x) (.f64 b -1/2)) (+.f64 y (.f64 (-.f64 a 1/2) b)))
(if (<=.f64 (.f64 (-.f64 a 1/2) b) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 (-.f64 a 1/2) b) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208) (+.f64 (+.f64 y x) (.f64 b -1/2)) (+.f64 z (*.f64 (-.f64 a 1/2) b))))
(if (<=.f64 (.f64 (-.f64 a 1/2) b) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 (-.f64 a 1/2) b) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208) (+.f64 (+.f64 y x) (.f64 b -1/2)) (*.f64 (-.f64 a 1/2) b)))
(if (<=.f64 (.f64 (-.f64 a 1/2) b) -200000000000000000356669989717583673029127285120602785421403055540259005695579907124093741598568592199753794072441956471287615292063257246907506366505126894812266496) (.f64 (-.f64 a 1/2) b) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 2000000000000000145062872763058470252316748819293043911036420310958080) (+.f64 y (+.f64 z x)) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208) (+.f64 (.f64 -1/2 b) x) (.f64 (-.f64 a 1/2) b))))
(if (<=.f64 b -580000000000000033722630184661133463878305251020914994416977128155269814026240) (+.f64 (.f64 -1/2 b) x) (if (<=.f64 b 1699999999999999912907609170973020012775018432251201871731878125713115669634488652511760448142731708872264698920231792191774834493090941696901612830720) (+.f64 y (+.f64 z x)) (+.f64 (.f64 -1/2 b) x)))
(if (<=.f64 b -145000000000000002979591685358916092394581217200378814710600916039985385387281382394879180920347953091539764948428249073358077267780170530419786619483449974318231768268800) (+.f64 (.f64 -1/2 b) z) (if (<=.f64 b 2550000000000000183561091238219450347467684430547014150970500851118407997486140508589512196262389270725694048496518539198032633199747913214639423526047800512760250368) (+.f64 y (+.f64 z x)) (+.f64 (.f64 -1/2 b) z)))
(+.f64 y (+.f64 z x))
(+.f64 y x)
(if (<=.f64 x -12991976777127133120421183434535556424217825177998009833089197980426174464) x y)
y

Outputs
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x)))
(+.f64 y (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (-.f64 a 1/2) b x)))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 z (+.f64 y x)) (.f64 z (log.f64 t))) (.f64 b (-.f64 a 1/2)))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b)) (+.f64 y (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x)))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (+.f64 (.f64 b (-.f64 a 1/2)) (.f64 z (-.f64 1 (log.f64 t)))) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (-.f64 a 1/2))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 b (-.f64 a 1/2)) (.f64 z (-.f64 1 (log.f64 t)))) (+.f64 y (+.f64 x (.f64 z (-.f64 1 (log.f64 t))))))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b -1/2)) (if (<=.f64 z 723117810115727499197671420626820220963495212797038697375978509471344843742730419530005490658811397767337869312) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (+.f64 y (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x)) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (+.f64 y (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x))))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 -1/2 b)) (if (<=.f64 z 723117810115727499197671420626820220963495212797038697375978509471344843742730419530005490658811397767337869312) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (-.f64 a 1/2))) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (+.f64 y (+.f64 x (.f64 z (-.f64 1 (log.f64 t))))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 b (-.f64 a 1/2)) (+.f64 y z)) (+.f64 y (+.f64 x (.f64 z (-.f64 1 (log.f64 t)))))))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b -1/2)) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (+.f64 y (.f64 (-.f64 1 (log.f64 t)) z))))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 -1/2 b)) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (-.f64 a 1/2))) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 b (-.f64 a 1/2)) (+.f64 y z)) (+.f64 y (.f64 z (-.f64 1 (log.f64 t))))))))
(if (<=.f64 z -317657955818587720162925721755210544793329523928047581412085175214617395200) (+.f64 y (.f64 (-.f64 1 (log.f64 t)) z)) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))))))
(if (<=.f64 z -317657955818587720162925721755210544793329523928047581412085175214617395200) (+.f64 y (.f64 z (-.f64 1 (log.f64 t)))) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (-.f64 a 1/2))) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 b (-.f64 a 1/2)) (+.f64 y z)) (+.f64 y (*.f64 z (-.f64 1 (log.f64 t))))))))
(if (<=.f64 z -317657955818587720162925721755210544793329523928047581412085175214617395200) (+.f64 y (-.f64 z (.f64 (log.f64 t) z))) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))))))
(if (<=.f64 z -317657955818587720162925721755210544793329523928047581412085175214617395200) (+.f64 y (-.f64 z (.f64 z (log.f64 t)))) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (-.f64 a 1/2))) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 b (-.f64 a 1/2)) (+.f64 y z)) (+.f64 y (-.f64 z (*.f64 z (log.f64 t))))))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (.f64 (-.f64 1 (log.f64 t)) z) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (*.f64 (-.f64 1 (log.f64 t)) z)))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (.f64 z (-.f64 1 (log.f64 t))) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (-.f64 a 1/2))) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 b (-.f64 a 1/2)) (+.f64 y z)) (*.f64 z (-.f64 1 (log.f64 t)))))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)) (-.f64 z (*.f64 z (log.f64 t)))))))
(if (<=.f64 z -10790007981250491055490878194108592340900921280169132870909287111190904451335558456620267138778469843306065407508480) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 1198580265324937297578024082678472723460206730899314950808838543748397152151517333087475446648416674386923270454935457428226611959052753586432088813597934797979648) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (-.f64 a 1/2))) (if (<=.f64 z 5780535559917466715301680856846663369147939779611937956604936368383872258084658731178148718162732587634577453763166779983035498853379401106057226277616863137969462461857792) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 183805830335035910361272958135539457878645677282637473950283054529897773224695442798926305282930068796347684369938098605153154462273273421626679267295265690794977220774741349765027997220339712) (+.f64 (.f64 b (-.f64 a 1/2)) (+.f64 y z)) (-.f64 z (*.f64 z (log.f64 t)))))))
(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
(+.f64 (+.f64 z (+.f64 y x)) (*.f64 b (-.f64 a 1/2)))
(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
(+.f64 (*.f64 b (-.f64 a 1/2)) (+.f64 y x))
(if (<=.f64 x -6771902468724151256238240034288805063216847876138379316274509648228895316468914181899727132426240) (+.f64 (+.f64 y x) (.f64 b -1/2)) (+.f64 (.f64 (-.f64 a 1/2) b) (+.f64 y z)))
(if (<=.f64 x -6771902468724151256238240034288805063216847876138379316274509648228895316468914181899727132426240) (+.f64 (+.f64 y x) (.f64 -1/2 b)) (+.f64 (.f64 b (-.f64 a 1/2)) (+.f64 y z)))
(if (<=.f64 x -8137311710588147/16384) (+.f64 (+.f64 y x) (.f64 b -1/2)) (+.f64 y (.f64 (-.f64 a 1/2) b)))
(if (<=.f64 x -8137311710588147/16384) (+.f64 (+.f64 y x) (.f64 -1/2 b)) (+.f64 y (.f64 b (-.f64 a 1/2))))
(if (<=.f64 (.f64 (-.f64 a 1/2) b) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 (-.f64 a 1/2) b) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208) (+.f64 (+.f64 y x) (.f64 b -1/2)) (+.f64 z (*.f64 (-.f64 a 1/2) b))))
(if (<=.f64 (.f64 b (-.f64 a 1/2)) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 b (-.f64 a 1/2)) (if (<=.f64 (.f64 b (-.f64 a 1/2)) 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208) (+.f64 (+.f64 y x) (.f64 -1/2 b)) (+.f64 z (*.f64 b (-.f64 a 1/2)))))
(if (<=.f64 (.f64 (-.f64 a 1/2) b) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 (-.f64 a 1/2) b) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208) (+.f64 (+.f64 y x) (.f64 b -1/2)) (*.f64 (-.f64 a 1/2) b)))
(if (<=.f64 (.f64 b (-.f64 a 1/2)) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 b (-.f64 a 1/2)) (if (<=.f64 (.f64 b (-.f64 a 1/2)) 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208) (+.f64 (+.f64 y x) (.f64 -1/2 b)) (*.f64 b (-.f64 a 1/2))))
(if (<=.f64 (.f64 (-.f64 a 1/2) b) -200000000000000000356669989717583673029127285120602785421403055540259005695579907124093741598568592199753794072441956471287615292063257246907506366505126894812266496) (.f64 (-.f64 a 1/2) b) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 2000000000000000145062872763058470252316748819293043911036420310958080) (+.f64 y (+.f64 z x)) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208) (+.f64 (.f64 -1/2 b) x) (.f64 (-.f64 a 1/2) b))))
(if (<=.f64 (.f64 b (-.f64 a 1/2)) -200000000000000000356669989717583673029127285120602785421403055540259005695579907124093741598568592199753794072441956471287615292063257246907506366505126894812266496) (.f64 b (-.f64 a 1/2)) (if (<=.f64 (.f64 b (-.f64 a 1/2)) 2000000000000000145062872763058470252316748819293043911036420310958080) (+.f64 y (+.f64 z x)) (if (<=.f64 (.f64 b (-.f64 a 1/2)) 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208) (+.f64 x (.f64 -1/2 b)) (.f64 b (-.f64 a 1/2)))))
(if (<=.f64 b -580000000000000033722630184661133463878305251020914994416977128155269814026240) (+.f64 (.f64 -1/2 b) x) (if (<=.f64 b 1699999999999999912907609170973020012775018432251201871731878125713115669634488652511760448142731708872264698920231792191774834493090941696901612830720) (+.f64 y (+.f64 z x)) (+.f64 (.f64 -1/2 b) x)))
(if (<=.f64 b -580000000000000033722630184661133463878305251020914994416977128155269814026240) (+.f64 x (.f64 -1/2 b)) (if (<=.f64 b 1699999999999999912907609170973020012775018432251201871731878125713115669634488652511760448142731708872264698920231792191774834493090941696901612830720) (+.f64 y (+.f64 z x)) (+.f64 x (.f64 -1/2 b))))
(if (<=.f64 b -145000000000000002979591685358916092394581217200378814710600916039985385387281382394879180920347953091539764948428249073358077267780170530419786619483449974318231768268800) (+.f64 (.f64 -1/2 b) z) (if (<=.f64 b 2550000000000000183561091238219450347467684430547014150970500851118407997486140508589512196262389270725694048496518539198032633199747913214639423526047800512760250368) (+.f64 y (+.f64 z x)) (+.f64 (.f64 -1/2 b) z)))
(if (<=.f64 b -145000000000000002979591685358916092394581217200378814710600916039985385387281382394879180920347953091539764948428249073358077267780170530419786619483449974318231768268800) (+.f64 z (.f64 -1/2 b)) (if (<=.f64 b 2550000000000000183561091238219450347467684430547014150970500851118407997486140508589512196262389270725694048496518539198032633199747913214639423526047800512760250368) (+.f64 y (+.f64 z x)) (+.f64 z (.f64 -1/2 b))))
(+.f64 y (+.f64 z x))
(+.f64 y x)
(if (<=.f64 x -12991976777127133120421183434535556424217825177998009833089197980426174464) x y)
y

Compiler

Compiled 800 to 521 computations (34.9% saved)

soundness292.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

866×	`fma-neg_binary64`
691×	`sub-neg_binary64`
567×	`unsub-neg_binary64`
503×	`fma-def_binary64`
441×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	35	22
2	106	22
3	327	21
4	1045	20
5	2888	20
6	4345	20
7	6311	20
8	7186	20
9	7518	20
10	7628	20
11	7638	20
12	7753	20

Stop Event

1×	node limit

Compiler

Compiled 553 to 386 computations (30.2% saved)

end516.0ms (2.1%)

Remove: (sort x y)
Compiler: Compiled 714 to 372 computations (47.9% saved)