Details

analyze418.0ms (2.5%)

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)

sample2.2s (13.2%)

Results

1.5s	8254×	body	256	valid
464.0ms	2942×	body	256	invalid
230.0ms	1217×	body	256	infinite
1.0ms	2×	body	512	valid

Bogosity

preprocess73.0ms (0.4%)

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)

simplify116.0ms (0.7%)

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

0.0b

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))
▶	0.0b	(+.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)

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (log.f64 t))
✓	0.0b	(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)

series79.0ms (0.5%)

Counts

3 → 104

Calls

27 calls:

Time	Variable		Point	Expression
21.0ms	t	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))
20.0ms	t	@	-inf	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))
10.0ms	t	@	inf	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))
8.0ms	a	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))
7.0ms	z	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
359×	`pow-prod-down_binary64`
356×	`pow2_binary64`
332×	`prod-diff_binary64`
245×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	269	31
2	3304	31

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

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

Outputs

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

((#(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 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 a -1/2) b x))) 2)) (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)) (+.f64 (pow.f64 (*.f64 (+.f64 a -1/2) b) 2) (-.f64 (*.f64 x x) (*.f64 (*.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) (*.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 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))))))

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

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

833×	`unsub-neg_binary64`
726×	`fma-def_binary64`
494×	`fma-neg_binary64`
489×	`associate-+l+_binary64`
367×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	1239
1	126	1207
2	238	1207
3	477	1207
4	1341	1207
5	3235	1207
6	5546	1207
7	7360	1207

Stop Event

1×	node limit

Counts

209 → 132

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 -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)
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t))))
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 a 1/2) b)
✓	0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
✓	0.3b	(*.f64 z (log.f64 t))

Compiler

Compiled 61 to 21 computations (65.6% saved)

series34.0ms (0.2%)

Counts

3 → 68

Calls

24 calls:

Time	Variable		Point	Expression
19.0ms	z	@	0	(*.f64 z (log.f64 t))
3.0ms	a	@	-inf	(*.f64 (-.f64 a 1/2) b)
2.0ms	y	@	0	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
1.0ms	b	@	inf	(*.f64 (-.f64 a 1/2) b)
1.0ms	b	@	-inf	(*.f64 (-.f64 a 1/2) b)

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`fma-def_binary64`
386×	`fma-neg_binary64`
322×	`expm1-udef_binary64`
322×	`log1p-udef_binary64`
260×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	343	28
2	5043	26

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

Outputs

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

((#(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 (fma.f64 a 1/2 1/4)))))) (#(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 (fma.f64 a 1/2 1/4)))))) (#(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 (pow.f64 (*.f64 (-.f64 a 1/2) b) 3) 1/3)))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 (-.f64 a 1/2) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (-.f64 a 1/2) 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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (*.f64 -1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b a (*.f64 b -1/2))))))

simplify202.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

770×	`unsub-neg_binary64`
718×	`fma-def_binary64`
425×	`sub-neg_binary64`
408×	`fma-neg_binary64`
393×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	790
1	112	782
2	245	676
3	696	676
4	1634	676
5	4071	676
6	5817	676
7	6816	676
8	7421	676
9	7666	676
10	7740	676
11	7758	676
12	7838	676
13	7886	676

Stop Event

1×	node limit

Counts

256 → 212

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

eval331.0ms (2%)

Compiler: Compiled 7432 to 3235 computations (56.5% saved)

prune211.0ms (1.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	327	17	344
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	329	17	346

Error

Counts

346 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(+.f64 y (fma.f64 z (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 1 (+.f64 1 (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)))
	35.3b	(+.f64 (fma.f64 (.f64 (neg.f64 z) (sqrt.f64 (log.f64 t))) (sqrt.f64 (log.f64 t)) (+.f64 y (+.f64 x z))) (.f64 (-.f64 a 1/2) b))
▶	38.5b	(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) (+.f64 x y))) 3) (*.f64 (-.f64 a 1/2) b))
	28.7b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
	38.9b	(+.f64 y (*.f64 a b))
	25.0b	(+.f64 x (*.f64 (-.f64 a 1/2) b))
	38.5b	(+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))
▶	0.0b	(+.f64 y (fma.f64 z (log.f64 (/.f64 (E.f64) t)) (fma.f64 (+.f64 a -1/2) b x)))
▶	36.2b	(+.f64 y x)
	27.9b	(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
▶	32.3b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (sqrt.f64 (.f64 z (log.f64 t))) 2)) (.f64 (-.f64 a 1/2) b))
	33.4b	(+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) (+.f64 x y))) 2) (*.f64 (-.f64 a 1/2) b))
	23.2b	(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
	31.8b	(+.f64 (fma.f64 (sqrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (sqrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (+.f64 y (+.f64 x z))) (*.f64 (-.f64 a 1/2) b))
	28.9b	(+.f64 y (fma.f64 z (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)))
▶	0.1b	(+.f64 y (fma.f64 z (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3)) (fma.f64 (+.f64 a -1/2) b x)))

Compiler

Compiled 664 to 474 computations (28.6% saved)

localize82.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (+.f64 a -1/2) b x)
✓	0.0b	(log.f64 (/.f64 (E.f64) t))
✓	0.1b	(fma.f64 z (log.f64 (/.f64 (E.f64) t)) (fma.f64 (+.f64 a -1/2) b x))
✓	0.4b	(/.f64 (E.f64) t)

Compiler

Compiled 56 to 24 computations (57.1% saved)

series90.0ms (0.5%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Point	Expression
35.0ms	z	@	0	(fma.f64 z (log.f64 (/.f64 (E.f64) t)) (fma.f64 (+.f64 a -1/2) b x))
17.0ms	t	@	-inf	(fma.f64 z (log.f64 (/.f64 (E.f64) t)) (fma.f64 (+.f64 a -1/2) b x))
16.0ms	t	@	0	(fma.f64 z (log.f64 (/.f64 (E.f64) t)) (fma.f64 (+.f64 a -1/2) b x))
9.0ms	t	@	inf	(fma.f64 z (log.f64 (/.f64 (E.f64) t)) (fma.f64 (+.f64 a -1/2) b x))
2.0ms	a	@	0	(fma.f64 z (log.f64 (/.f64 (E.f64) t)) (fma.f64 (+.f64 a -1/2) b x))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
381×	`pow-prod-down_binary64`
364×	`pow2_binary64`
253×	`pow1/3_binary64`
251×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	273	28
2	3416	28

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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

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

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

988×	`fma-def_binary64`
731×	`sub-neg_binary64`
545×	`unsub-neg_binary64`
506×	`distribute-rgt-in_binary64`
372×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	1127
1	119	1062
2	219	1062
3	525	1062
4	1524	1046
5	2756	1046
6	4275	1046
7	5798	1046
8	7535	1046

Stop Event

1×	node limit

Counts

221 → 174

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

series5.0ms (0%)

Counts

2 → 44

Calls

15 calls:

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

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`prod-diff_binary64`
444×	`log-prod_binary64`
298×	`pow-prod-down_binary64`
288×	`fma-def_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	188	19
2	2521	19

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

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

simplify243.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

988×	`distribute-rgt-in_binary64`
788×	`unsub-neg_binary64`
426×	`sub-neg_binary64`
395×	`distribute-neg-in_binary64`
378×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	446
1	54	402
2	101	402
3	243	402
4	706	402
5	1895	402
6	4600	402
7	6186	402
8	7026	402
9	7432	402
10	7617	402
11	7655	402
12	7661	402
13	7661	402
14	7661	402
15	7684	402
16	7684	402

Stop Event

1×	node limit

Counts

141 → 107

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

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

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 z (log.f64 t)))
✓	0.1b	(-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2)
	0.3b	(*.f64 z (log.f64 t))

Compiler

Compiled 80 to 30 computations (62.5% saved)

series17.0ms (0.1%)

Counts

3 → 60

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(-.f64 (+.f64 (+.f64 x y) z) (pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2))
2.0ms	z	@	0	(pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2)
1.0ms	t	@	-inf	(pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2)
1.0ms	t	@	inf	(pow.f64 (sqrt.f64 (*.f64 z (log.f64 t))) 2)

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`fma-def_binary64`
651×	`log-prod_binary64`
338×	`fma-neg_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	296	29
2	4029	27

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

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

simplify150.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
460×	`sub-neg_binary64`
382×	`unsub-neg_binary64`
320×	`distribute-rgt-neg-in_binary64`
293×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	695
1	87	687
2	240	687
3	708	623
4	2434	591
5	5059	591
6	6460	591
7	7742	591

Stop Event

1×	node limit

Counts

275 → 235

Calls

Call 1

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

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

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (+.f64 a -1/2) b x)
✓	0.1b	(fma.f64 z (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3)) (fma.f64 (+.f64 a -1/2) b x))
✓	0.5b	(cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3))
✓	0.7b	(pow.f64 (-.f64 1 (log.f64 t)) 3)

Compiler

Compiled 75 to 45 computations (40% saved)

series9.0ms (0.1%)

Counts

3 → 80

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(fma.f64 z (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3)) (fma.f64 (+.f64 a -1/2) b x))
1.0ms	t	@	0	(pow.f64 (-.f64 1 (log.f64 t)) 3)
1.0ms	t	@	-inf	(pow.f64 (-.f64 1 (log.f64 t)) 3)
1.0ms	t	@	inf	(pow.f64 (-.f64 1 (log.f64 t)) 3)
0.0ms	z	@	-inf	(fma.f64 z (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3)) (fma.f64 (+.f64 a -1/2) b x))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
397×	`pow2_binary64`
332×	`prod-diff_binary64`
272×	`expm1-udef_binary64`
271×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	338	32
2	3798	32

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1080×	`unsub-neg_binary64`
663×	`sub-neg_binary64`
333×	`fma-def_binary64`
270×	`associate-+l-_binary64`
247×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	1082
1	133	1050
2	286	1050
3	718	1050
4	3012	1050
5	5948	1050

Stop Event

1×	node limit

Counts

196 → 141

Calls

Call 1

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

Outputs
(pow.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) 3)
(pow.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) 3)
(pow.f64 (-.f64 1 (log.f64 t)) 3)
(pow.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) 3)
(pow.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) 3)
(pow.f64 (-.f64 1 (log.f64 t)) 3)
(pow.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) 3)
(pow.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) 3)
(pow.f64 (-.f64 1 (log.f64 t)) 3)
(pow.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) 3)
(pow.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) 3)
(pow.f64 (-.f64 1 (log.f64 t)) 3)
(pow.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) 3)
(pow.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) 3)
(pow.f64 (-.f64 1 (log.f64 t)) 3)
(pow.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) 3)
(pow.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) 3)
(pow.f64 (-.f64 1 (log.f64 t)) 3)
(pow.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) 3)
(pow.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) 3)
(pow.f64 (-.f64 1 (log.f64 t)) 3)
(pow.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) 3)
(pow.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) 3)
(pow.f64 (-.f64 1 (log.f64 t)) 3)
(-.f64 1 (log.f64 t))
(-.f64 1 (log.f64 t))
(-.f64 1 (log.f64 t))
(-.f64 1 (log.f64 t))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t))))
(-.f64 1 (log.f64 t))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t))))
(-.f64 1 (log.f64 t))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t))))
(-.f64 1 (log.f64 t))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t))))
(-.f64 1 (log.f64 t))
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(-.f64 1 (log.f64 t))
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(-.f64 1 (log.f64 t))
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(-.f64 1 (log.f64 t))
(-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t)))))
(-.f64 1 (log.f64 t))
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.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 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 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 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))
(fma.f64 (neg.f64 (log.f64 t)) z 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 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 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 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))
(fma.f64 (neg.f64 (log.f64 t)) z 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 (-.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 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 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 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 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 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 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 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 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 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) x)
(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 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 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 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 1/2) b)
(*.f64 (+.f64 a -1/2) b)
(+.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 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 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 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 1/2) b)
(*.f64 (+.f64 a -1/2) b)
(+.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 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 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 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 a 1/2) b))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (-.f64 a 1/2) b))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b))
(fma.f64 (+.f64 a -1/2) b (-.f64 z (*.f64 (log.f64 t) z)))
(-.f64 (fma.f64 (+.f64 a -1/2) b 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 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 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 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))
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 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 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 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))
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 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 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 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))

eval317.0ms (1.9%)

Compiler: Compiled 15871 to 7888 computations (50.3% saved)

prune195.0ms (1.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	774	14	788
Fresh	8	4	12
Picked	1	0	1
Done	2	2	4
Total	785	20	805

Error

Counts

805 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(+.f64 z (*.f64 (-.f64 a 1/2) b))
✓	36.2b	(+.f64 y x)
	38.5b	(+.f64 y (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3)) z))
	25.0b	(+.f64 x (*.f64 (-.f64 a 1/2) b))
	38.8b	(+.f64 y (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t))))
	27.9b	(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
▶	12.8b	(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
	50.0b	(+.f64 y (*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z))
	28.7b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
▶	50.0b	(*.f64 (-.f64 1 (log.f64 t)) z)
	23.2b	(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
	38.7b	(+.f64 y (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3))
	38.5b	(+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))
	51.3b	y
✓	38.5b	(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
▶	52.1b	(+.f64 y (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2))
▶	38.9b	(+.f64 y (*.f64 a b))
	57.5b	(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2)) (/.f64 1 (-.f64 y (.f64 (-.f64 1 (log.f64 t)) z))))
▶	38.5b	(+.f64 y (*.f64 (log.f64 (/.f64 (E.f64) t)) z))
	35.3b	(+.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))

Compiler

Compiled 600 to 454 computations (24.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
	0.0b	(*.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
1.0ms	b	@	inf	(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
0.0ms	y	@	0	(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
0.0ms	z	@	0	(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
0.0ms	b	@	-inf	(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
0.0ms	a	@	inf	(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))

rewrite77.0ms (0.5%)

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))))))) 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(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 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simplify28.0ms (0.2%)

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)))

localize7.0ms (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)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (0.4%)

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))))))

simplify10.0ms (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)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (*.f64 (log.f64 (/.f64 (E.f64) t)) z))
	0.0b	(log.f64 (/.f64 (E.f64) t))
✓	0.3b	(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
	0.4b	(/.f64 (E.f64) t)

Compiler

Compiled 31 to 11 computations (64.5% saved)

series47.0ms (0.3%)

Counts

2 → 49

Calls

15 calls:

Time	Variable		Point	Expression
25.0ms	t	@	0	(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
15.0ms	z	@	0	(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
2.0ms	y	@	0	(+.f64 y (*.f64 (log.f64 (/.f64 (E.f64) t)) z))
1.0ms	z	@	inf	(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
1.0ms	z	@	-inf	(*.f64 (log.f64 (/.f64 (E.f64) t)) z)

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`prod-diff_binary64`
489×	`log-prod_binary64`
318×	`pow-prod-down_binary64`
260×	`pow2_binary64`
224×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	192	19
2	2629	19

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
(+.f64 y (*.f64 (log.f64 (/.f64 (E.f64) t)) z))

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

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

simplify268.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1898×	`fma-neg_binary64`
572×	`fma-def_binary64`
261×	`distribute-rgt-in_binary64`
239×	`unsub-neg_binary64`
216×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	569
1	73	508
2	128	508
3	290	500
4	639	492
5	1215	492
6	2157	492
7	3364	492
8	3994	492
9	4196	492
10	4212	492
11	4212	492
12	4245	492
13	4245	492
14	5721	492
15	5721	492
16	5721	492

Stop Event

1×

saturated

Counts

124 → 88

Calls

Call 1

Inputs
(.f64 z (+.f64 1 (.f64 -1 (log.f64 t))))
(.f64 z (+.f64 1 (.f64 -1 (log.f64 t))))
(.f64 z (+.f64 1 (.f64 -1 (log.f64 t))))
(.f64 z (+.f64 1 (.f64 -1 (log.f64 t))))
(*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z)
(*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z)
(*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z)
(*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z)
(.f64 (+.f64 (log.f64 (.f64 -1 (E.f64))) (log.f64 (/.f64 -1 t))) z)
(.f64 (+.f64 (log.f64 (.f64 -1 (E.f64))) (log.f64 (/.f64 -1 t))) z)
(.f64 (+.f64 (log.f64 (.f64 -1 (E.f64))) (log.f64 (/.f64 -1 t))) z)
(.f64 (+.f64 (log.f64 (.f64 -1 (E.f64))) (log.f64 (/.f64 -1 t))) z)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
y
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
y
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 y (.f64 z (+.f64 1 (.f64 -1 (log.f64 t)))))
(+.f64 y (.f64 z (+.f64 1 (.f64 -1 (log.f64 t)))))
(+.f64 y (.f64 z (+.f64 1 (.f64 -1 (log.f64 t)))))
(+.f64 y (.f64 z (+.f64 1 (.f64 -1 (log.f64 t)))))
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z) y)
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z) y)
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z) y)
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z) y)
(+.f64 y (.f64 (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (log.f64 (/.f64 -1 t))) z))
(+.f64 y (.f64 (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (log.f64 (/.f64 -1 t))) z))
(+.f64 y (.f64 (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (log.f64 (/.f64 -1 t))) z))
(+.f64 y (.f64 (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (log.f64 (/.f64 -1 t))) z))
y
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(*.f64 (log.f64 (/.f64 (E.f64) t)) z)

Outputs
(.f64 z (+.f64 1 (.f64 -1 (log.f64 t))))
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(.f64 z (+.f64 1 (.f64 -1 (log.f64 t))))
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(.f64 z (+.f64 1 (.f64 -1 (log.f64 t))))
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(.f64 z (+.f64 1 (.f64 -1 (log.f64 t))))
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(.f64 (+.f64 (log.f64 (.f64 -1 (E.f64))) (log.f64 (/.f64 -1 t))) z)
(*.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t))))
(fma.f64 z (+.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1)) z)
(*.f64 z (fma.f64 (log.f64 -1) 2 (-.f64 1 (log.f64 t))))
(-.f64 z (*.f64 z (fma.f64 (log.f64 -1) -2 (log.f64 t))))
(.f64 (+.f64 (log.f64 (.f64 -1 (E.f64))) (log.f64 (/.f64 -1 t))) z)
(*.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t))))
(fma.f64 z (+.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1)) z)
(*.f64 z (fma.f64 (log.f64 -1) 2 (-.f64 1 (log.f64 t))))
(-.f64 z (*.f64 z (fma.f64 (log.f64 -1) -2 (log.f64 t))))
(.f64 (+.f64 (log.f64 (.f64 -1 (E.f64))) (log.f64 (/.f64 -1 t))) z)
(*.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t))))
(fma.f64 z (+.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1)) z)
(*.f64 z (fma.f64 (log.f64 -1) 2 (-.f64 1 (log.f64 t))))
(-.f64 z (*.f64 z (fma.f64 (log.f64 -1) -2 (log.f64 t))))
(.f64 (+.f64 (log.f64 (.f64 -1 (E.f64))) (log.f64 (/.f64 -1 t))) z)
(*.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t))))
(fma.f64 z (+.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1)) z)
(*.f64 z (fma.f64 (log.f64 -1) 2 (-.f64 1 (log.f64 t))))
(-.f64 z (*.f64 z (fma.f64 (log.f64 -1) -2 (log.f64 t))))
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
y
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
y
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (.f64 z (+.f64 1 (.f64 -1 (log.f64 t)))))
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (.f64 z (+.f64 1 (.f64 -1 (log.f64 t)))))
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (.f64 z (+.f64 1 (.f64 -1 (log.f64 t)))))
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (.f64 z (+.f64 1 (.f64 -1 (log.f64 t)))))
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 t))) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 y (.f64 (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (log.f64 (/.f64 -1 t))) z))
(+.f64 y (*.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t)))))
(fma.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t))) y)
(fma.f64 z (+.f64 1 (+.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1))) y)
(fma.f64 z (-.f64 (fma.f64 2 (log.f64 -1) 1) (log.f64 t)) y)
(fma.f64 z (fma.f64 (log.f64 -1) 2 (-.f64 1 (log.f64 t))) y)
(fma.f64 z (-.f64 1 (fma.f64 (log.f64 -1) -2 (log.f64 t))) y)
(+.f64 y (.f64 (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (log.f64 (/.f64 -1 t))) z))
(+.f64 y (*.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t)))))
(fma.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t))) y)
(fma.f64 z (+.f64 1 (+.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1))) y)
(fma.f64 z (-.f64 (fma.f64 2 (log.f64 -1) 1) (log.f64 t)) y)
(fma.f64 z (fma.f64 (log.f64 -1) 2 (-.f64 1 (log.f64 t))) y)
(fma.f64 z (-.f64 1 (fma.f64 (log.f64 -1) -2 (log.f64 t))) y)
(+.f64 y (.f64 (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (log.f64 (/.f64 -1 t))) z))
(+.f64 y (*.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t)))))
(fma.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t))) y)
(fma.f64 z (+.f64 1 (+.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1))) y)
(fma.f64 z (-.f64 (fma.f64 2 (log.f64 -1) 1) (log.f64 t)) y)
(fma.f64 z (fma.f64 (log.f64 -1) 2 (-.f64 1 (log.f64 t))) y)
(fma.f64 z (-.f64 1 (fma.f64 (log.f64 -1) -2 (log.f64 t))) y)
(+.f64 y (.f64 (+.f64 (log.f64 (.f64 -1 (exp.f64 1))) (log.f64 (/.f64 -1 t))) z))
(+.f64 y (*.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t)))))
(fma.f64 z (+.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (/.f64 -1 t))) y)
(fma.f64 z (+.f64 1 (+.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1))) y)
(fma.f64 z (-.f64 (fma.f64 2 (log.f64 -1) 1) (log.f64 t)) y)
(fma.f64 z (fma.f64 (log.f64 -1) 2 (-.f64 1 (log.f64 t))) y)
(fma.f64 z (-.f64 1 (fma.f64 (log.f64 -1) -2 (log.f64 t))) y)
y
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(+.f64 (*.f64 (log.f64 (/.f64 (exp.f64 1) t)) z) y)
(fma.f64 (log.f64 (/.f64 (E.f64) t)) z y)
(fma.f64 z (-.f64 1 (log.f64 t)) y)
(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
(*.f64 z (+.f64 1 (neg.f64 (log.f64 t))))
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(fma.f64 (log.f64 t) (neg.f64 z) z)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (log.f64 t))
✓	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)

series11.0ms (0.1%)

Counts

2 → 20

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
1.0ms	t	@	0	(sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z))
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	@	inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)

rewrite63.0ms (0.4%)

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))))))))

simplify158.0ms (0.9%)

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)))

eval220.0ms (1.3%)

Compiler: Compiled 8796 to 4797 computations (45.5% saved)

prune185.0ms (1.1%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	604	15	619
Fresh	7	6	13
Picked	1	0	1
Done	2	4	6
Total	614	25	639

Error

Counts

639 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	38.8b	(+.f64 y (/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 t) 3)) z) (+.f64 1 (.f64 (log.f64 t) (+.f64 1 (log.f64 t))))))
✓	38.5b	(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
	38.5b	(+.f64 y (.f64 (.f64 3 (-.f64 1/3 (log.f64 (cbrt.f64 t)))) z))
	39.6b	(+.f64 z (*.f64 (-.f64 a 1/2) b))
✓	36.2b	(+.f64 y x)
	38.5b	(+.f64 y (*.f64 (-.f64 2/3 (log.f64 (/.f64 t (exp.f64 1/3)))) z))
	25.0b	(+.f64 x (*.f64 (-.f64 a 1/2) b))
	61.6b	z
	38.5b	(+.f64 y (.f64 (.f64 1/3 (*.f64 3 (-.f64 1 (log.f64 t)))) z))
▶	27.9b	(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
	35.7b	(+.f64 y (+.f64 z x))
▶	28.7b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
✓	50.0b	(*.f64 (-.f64 1 (log.f64 t)) z)
	51.3b	y
	50.3b	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3)
▶	50.2b	(*.f64 a b)
✓	38.9b	(+.f64 y (*.f64 a b))
	57.7b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
	50.0b	(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
	50.1b	(-.f64 z (*.f64 z (log.f64 t)))
	40.4b	(*.f64 (-.f64 a 1/2) b)
▶	23.2b	(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
	57.5b	(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2)) (/.f64 1 (-.f64 y (.f64 (-.f64 1 (log.f64 t)) z))))
	47.5b	x
▶	56.8b	(*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z)

Compiler

Compiled 625 to 492 computations (21.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0%)

Counts

2 → 71

Calls

21 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`log-prod_binary64`
538×	`fma-def_binary64`
328×	`pow2_binary64`
270×	`fma-neg_binary64`
223×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	240	23
2	3415	23

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1197×	`unsub-neg_binary64`
456×	`fma-def_binary64`
418×	`fma-neg_binary64`
410×	`distribute-neg-in_binary64`
316×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	825
1	78	753
2	137	753
3	309	753
4	917	753
5	2433	753
6	4522	753
7	6070	753
8	7048	753
9	7663	753
10	7899	753
11	7955	753
12	7967	753
13	7967	753

Stop Event

1×	node limit

Counts

212 → 158

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

localize7.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (*.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	y	@	0	(+.f64 y (*.f64 (-.f64 a 1/2) b))
0.0ms	a	@	-inf	(+.f64 y (*.f64 (-.f64 a 1/2) b))
0.0ms	b	@	inf	(+.f64 y (*.f64 (-.f64 a 1/2) b))
0.0ms	a	@	inf	(+.f64 y (*.f64 (-.f64 a 1/2) b))
0.0ms	a	@	0	(+.f64 y (*.f64 (-.f64 a 1/2) b))

rewrite72.0ms (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 y (*.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 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (+.f64 a -1/2) b))) (/.f64 (pow.f64 (*.f64 (+.f64 a -1/2) b) 2) (-.f64 y (*.f64 (+.f64 a -1/2) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 a -1/2) b y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 a -1/2) b y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y)) 2) (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/2) b y)) (sqrt.f64 (fma.f64 (+.f64 a -1/2) b y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 a -1/2) b) 3)) (/.f64 1 (fma.f64 y y (*.f64 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(fma.f64 (+.f64 a -1/2) b y)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b y) 2) (sqrt.f64 (fma.f64 (+.f64 a -1/2) b y))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/2) b y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y))) 2) 3) (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 (+.f64 a -1/2) b) (-.f64 (*.f64 (+.f64 a -1/2) b) y))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 a -1/2) b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (*.f64 (+.f64 a -1/2) b)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 a -1/2) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 a -1/2) b) 3)) (fma.f64 y y (*.f64 (*.f64 (+.f64 a -1/2) b) (-.f64 (*.f64 (+.f64 a -1/2) b) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 a -1/2) b) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 a -1/2) b) 2) (-.f64 (*.f64 y y) (*.f64 y (*.f64 (+.f64 a -1/2) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 a -1/2) b) 2)) (-.f64 y (*.f64 (+.f64 a -1/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 a -1/2) b) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (+.f64 a -1/2) b) (-.f64 (*.f64 (+.f64 a -1/2) b) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 a -1/2) b) 2))) (neg.f64 (-.f64 y (*.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 y y)) (-.f64 (*.f64 (+.f64 a -1/2) b) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 a -1/2) b y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/2) b y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y y (*.f64 (*.f64 (+.f64 a -1/2) b) (-.f64 (*.f64 (+.f64 a -1/2) b) y))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 a -1/2) b) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y (*.f64 (+.f64 a -1/2) b)) (-.f64 (*.f64 y y) (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 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 a -1/2) b y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 a -1/2) b y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (pow.f64 (exp.f64 (+.f64 a -1/2)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/2) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (+.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 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 a -1/2)) b) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/2) b))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 a -1/2) b y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 a -1/2) b y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 a -1/2) b y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 a -1/2) b y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (+.f64 a -1/2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/2) b y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (+.f64 a -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/2) b) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (+.f64 a -1/2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 a -1/2) b) y)))) (#(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) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (+.f64 a -1/2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.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)) y)))) (#(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) y)))) (#(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)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/2)) (*.f64 (sqrt.f64 (+.f64 a -1/2)) b) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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)) y)))) (#(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)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/2) (sqrt.f64 b)) (sqrt.f64 b) y)))) (#(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)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (+.f64 a -1/2))) (sqrt.f64 (+.f64 a -1/2)) y)))))

simplify16.0ms (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) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
y
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
y
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 -1/2 b) y)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) y))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) y))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) y))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) y))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) y))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) y))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) y))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) y))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) y))
y
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(*.f64 (-.f64 a 1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(*.f64 (-.f64 a 1/2) b)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)
(+.f64 (*.f64 (-.f64 a 1/2) b) y)

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

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 19 computations (55.8% saved)

series9.0ms (0.1%)

Counts

2 → 68

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(-.f64 z (*.f64 z (log.f64 t)))
0.0ms	a	@	0	(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.0ms	z	@	0	(-.f64 z (*.f64 z (log.f64 t)))
0.0ms	z	@	inf	(-.f64 z (*.f64 z (log.f64 t)))
0.0ms	t	@	-inf	(-.f64 z (*.f64 z (log.f64 t)))

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`fma-def_binary64`
677×	`log-prod_binary64`
330×	`fma-neg_binary64`
254×	`pow1/3_binary64`
254×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	273	25
2	3956	25

Stop Event

1×	node limit

Counts

2 → 180

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (log.f64 t) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (*.f64 (log.f64 t) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 1 (log.f64 t))) (fma.f64 (*.f64 (log.f64 t) (neg.f64 z)) 1 (*.f64 z (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (-.f64 1 (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 (-.f64 1 (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 (log.f64 t) (neg.f64 z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (-.f64 1 (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 z) (pow.f64 t z))) (cbrt.f64 (/.f64 (exp.f64 z) (pow.f64 t z))))) (log.f64 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simplify333.0ms (2%)

Algorithm

1×	egg-herbie

Rules

919×	`fma-def_binary64`
667×	`distribute-rgt-in_binary64`
568×	`unsub-neg_binary64`
499×	`sub-neg_binary64`
489×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	873
1	124	873
2	265	873
3	710	873
4	1789	873
5	4438	873
6	5566	873
7	6438	873
8	6777	873
9	6888	873
10	6892	873
11	6892	873
12	6896	873
13	6916	873
14	6916	873
15	7392	873

Stop Event

1×	node limit

Counts

248 → 199

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

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

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (log.f64 t))
✓	0.0b	(log1p.f64 (-.f64 1 (log.f64 t)))
✓	0.2b	(*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z)
✓	0.6b	(expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t))))

Compiler

Compiled 34 to 22 computations (35.3% saved)

series140.0ms (0.8%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
89.0ms	t	@	inf	(log1p.f64 (-.f64 1 (log.f64 t)))
28.0ms	t	@	0	(log1p.f64 (-.f64 1 (log.f64 t)))
18.0ms	t	@	-inf	(log1p.f64 (-.f64 1 (log.f64 t)))
1.0ms	t	@	inf	(*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z)
1.0ms	t	@	0	(expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t))))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
707×	`add-log-exp_binary64`
707×	`expm1-log1p-u_binary64`
706×	`log1p-expm1-u_binary64`
693×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	159	23
2	1896	23

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t))))
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z)
(log1p.f64 (-.f64 1 (log.f64 t)))

Outputs

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

((#(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) (+.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 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)))))))

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

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-neg_binary64`
742×	`unsub-neg_binary64`
594×	`sub-neg_binary64`
589×	`associate--l-_binary64`
526×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	384
1	57	384
2	110	384
3	263	384
4	745	384
5	2123	384
6	3779	384
7	5202	384
8	5625	384
9	5758	384
10	5783	384
11	6589	384

Stop Event

1×	node limit

Counts

116 → 76

Calls

Call 1

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

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

eval256.0ms (1.5%)

Compiler: Compiled 11583 to 6178 computations (46.7% saved)

prune160.0ms (1%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	704	9	713
Fresh	5	11	16
Picked	0	1	1
Done	2	6	8
Total	711	27	738

Error

Counts

738 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	41.3b	(+.f64 (*.f64 -1/2 b) y)
✓	38.5b	(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
	38.5b	(+.f64 y (.f64 (.f64 3 (-.f64 1/3 (log.f64 (cbrt.f64 t)))) z))
	50.1b	(-.f64 z (*.f64 z (log.f64 t)))
	39.6b	(+.f64 z (*.f64 (-.f64 a 1/2) b))
✓	36.2b	(+.f64 y x)
	38.5b	(+.f64 y (*.f64 (-.f64 2/3 (log.f64 (/.f64 t (exp.f64 1/3)))) z))
	50.0b	(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
	25.0b	(+.f64 x (*.f64 (-.f64 a 1/2) b))
	61.6b	z
	38.5b	(+.f64 y (.f64 (.f64 1/3 (*.f64 3 (-.f64 1 (log.f64 t)))) z))
	40.4b	(*.f64 (-.f64 a 1/2) b)
	57.7b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
	40.3b	(-.f64 (+.f64 (.f64 -1/2 b) z) (.f64 z (log.f64 t)))
	35.7b	(+.f64 y (+.f64 z x))
✓	28.7b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
✓	50.0b	(*.f64 (-.f64 1 (log.f64 t)) z)
	51.3b	y
✓	50.2b	(*.f64 a b)
	34.8b	(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
✓	38.9b	(+.f64 y (*.f64 a b))
	57.5b	(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2)) (/.f64 1 (-.f64 y (.f64 (-.f64 1 (log.f64 t)) z))))
	50.3b	(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 t) 3)) z) (+.f64 1 (.f64 (log.f64 t) (+.f64 1 (log.f64 t)))))
	50.3b	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3)
	47.5b	x
✓	56.8b	(*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z)
	37.8b	(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.f64 b a))

Compiler

Compiled 367 to 290 computations (21% saved)

regimes596.0ms (3.6%)

Counts

57 → 1

Calls

Call 1

Inputs
z
y
x
y
(*.f64 a b)
(+.f64 y x)
(+.f64 (*.f64 -1/2 b) y)
(+.f64 y (+.f64 z x))
(*.f64 (-.f64 a 1/2) b)
(+.f64 y (*.f64 a b))
(+.f64 z (*.f64 (-.f64 a 1/2) b))
(+.f64 x (*.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 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
(-.f64 z (*.f64 z (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))
(-.f64 (+.f64 (.f64 -1/2 b) z) (.f64 z (log.f64 t)))
(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.f64 b a))
(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
(+.f64 y (.f64 (.f64 1/3 (*.f64 3 (-.f64 1 (log.f64 t)))) z))
(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.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 (log.f64 (/.f64 (E.f64) t)) z)
(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
(+.f64 y (*.f64 (log.f64 (/.f64 (E.f64) t)) z))
(+.f64 y (.f64 (.f64 3 (-.f64 1/3 (log.f64 (cbrt.f64 t)))) z))
(+.f64 y (*.f64 (-.f64 2/3 (log.f64 (/.f64 t (exp.f64 1/3)))) z))
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
(+.f64 y (*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z))
(+.f64 y (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3)) z))
(+.f64 y (pow.f64 (cbrt.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 (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x)))
(+.f64 y (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t))))
(+.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 y y) (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2)) (/.f64 1 (-.f64 y (.f64 (-.f64 1 (log.f64 t)) z))))
(+.f64 y (fma.f64 z (log.f64 (/.f64 (E.f64) t)) (fma.f64 (+.f64 a -1/2) b x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 t) 3)) z) (+.f64 1 (.f64 (log.f64 t) (+.f64 1 (log.f64 t)))))
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) (+.f64 x y))) 3) (*.f64 (-.f64 a 1/2) b))
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 (log.f64 t)) (+.f64 x y))) 2) (*.f64 (-.f64 a 1/2) b))
(+.f64 y (/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 t) 3)) z) (+.f64 1 (.f64 (log.f64 t) (+.f64 1 (log.f64 t))))))
(+.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 y (fma.f64 z (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)))
(+.f64 y (fma.f64 z (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3)) (fma.f64 (+.f64 a -1/2) b x)))
(+.f64 (fma.f64 (.f64 (neg.f64 z) (sqrt.f64 (log.f64 t))) (sqrt.f64 (log.f64 t)) (+.f64 y (+.f64 x z))) (.f64 (-.f64 a 1/2) b))
(+.f64 y (fma.f64 z (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 1 (+.f64 1 (log.f64 t)))) (fma.f64 (+.f64 a -1/2) b x)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (sqrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (+.f64 y (+.f64 x z))) (*.f64 (-.f64 a 1/2) b))

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

Calls

17 calls:

51.0ms	b
50.0ms	a
43.0ms	t
37.0ms	y
36.0ms	z

Results

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

Compiler

Compiled 774 to 445 computations (42.5% saved)

regimes483.0ms (2.9%)

Counts

46 → 1

Calls

Call 1

Inputs
z
y
x
y
(*.f64 a b)
(+.f64 y x)
(+.f64 (*.f64 -1/2 b) y)
(+.f64 y (+.f64 z x))
(*.f64 (-.f64 a 1/2) b)
(+.f64 y (*.f64 a b))
(+.f64 z (*.f64 (-.f64 a 1/2) b))
(+.f64 x (*.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 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
(-.f64 z (*.f64 z (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))
(-.f64 (+.f64 (.f64 -1/2 b) z) (.f64 z (log.f64 t)))
(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.f64 b a))
(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
(+.f64 y (.f64 (.f64 1/3 (*.f64 3 (-.f64 1 (log.f64 t)))) z))
(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.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 (log.f64 (/.f64 (E.f64) t)) z)
(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
(+.f64 y (*.f64 (log.f64 (/.f64 (E.f64) t)) z))
(+.f64 y (.f64 (.f64 3 (-.f64 1/3 (log.f64 (cbrt.f64 t)))) z))
(+.f64 y (*.f64 (-.f64 2/3 (log.f64 (/.f64 t (exp.f64 1/3)))) z))
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
(+.f64 y (*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z))
(+.f64 y (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3)) z))
(+.f64 y (pow.f64 (cbrt.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 (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b x)))
(+.f64 y (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) z) (+.f64 1 (log.f64 t))))
(+.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 y y) (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2)) (/.f64 1 (-.f64 y (.f64 (-.f64 1 (log.f64 t)) z))))

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

Calls

16 calls:

88.0ms	y
29.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
29.0ms	a
28.0ms	(log.f64 t)
28.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))

Results

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

Compiler

Compiled 556 to 332 computations (40.3% saved)

regimes462.0ms (2.8%)

Counts

42 → 1

Calls

Call 1

Inputs
z
y
x
y
(*.f64 a b)
(+.f64 y x)
(+.f64 (*.f64 -1/2 b) y)
(+.f64 y (+.f64 z x))
(*.f64 (-.f64 a 1/2) b)
(+.f64 y (*.f64 a b))
(+.f64 z (*.f64 (-.f64 a 1/2) b))
(+.f64 x (*.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 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
(-.f64 z (*.f64 z (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(+.f64 y (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 y (-.f64 z (*.f64 (log.f64 t) z)))
(-.f64 (+.f64 (.f64 -1/2 b) z) (.f64 z (log.f64 t)))
(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.f64 b a))
(+.f64 y (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x))
(+.f64 y (.f64 (.f64 1/3 (*.f64 3 (-.f64 1 (log.f64 t)))) z))
(+.f64 (-.f64 z (.f64 z (log.f64 t))) (.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 (log.f64 (/.f64 (E.f64) t)) z)
(*.f64 (log.f64 (/.f64 (E.f64) t)) z)
(+.f64 y (*.f64 (log.f64 (/.f64 (E.f64) t)) z))
(+.f64 y (.f64 (.f64 3 (-.f64 1/3 (log.f64 (cbrt.f64 t)))) z))
(+.f64 y (*.f64 (-.f64 2/3 (log.f64 (/.f64 t (exp.f64 1/3)))) z))
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2)
(+.f64 y (*.f64 (expm1.f64 (log1p.f64 (-.f64 1 (log.f64 t)))) z))
(+.f64 y (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) 3)) z))
(+.f64 y (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 3))
(+.f64 y (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 t)) z)) 2))

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

Calls

12 calls:

83.0ms	(+.f64 x y)
77.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
39.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
39.0ms	(*.f64 (-.f64 a 1/2) b)
39.0ms	b

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 440 to 259 computations (41.1% saved)

regimes485.0ms (2.9%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

10 calls:

79.0ms	x
73.0ms	a
54.0ms	z
53.0ms	b
45.0ms	t

Results

Error	Segments	Branch
7.7b	6	`x`
11.5b	3	`y`
5.0b	3	`z`
11.5b	3	`t`
10.3b	5	`a`
6.7b	3	`b`
11.5b	3	`(log.f64 t)`
5.3b	3	`(*.f64 (-.f64 a 1/2) b)`
11.6b	3	`(-.f64 a 1/2)`
11.6b	3	`(-.f64 a 1/2)`

Compiler

Compiled 257 to 150 computations (41.6% saved)

bsearch70.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	7.734564894876411e+164	3.2484372387023194e+168
36.0ms	-7.368873225820934e+104	-7.697335997843754e+102

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes439.0ms (2.6%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

10 calls:

71.0ms	a
64.0ms	b
59.0ms	x
54.0ms	(*.f64 (-.f64 a 1/2) b)
49.0ms	z

Results

Error	Segments	Branch
10.6b	5	`x`
12.8b	1	`y`
6.0b	3	`z`
11.5b	3	`t`
10.4b	5	`a`
10.9b	3	`b`
11.5b	3	`(log.f64 t)`
10.1b	5	`(*.f64 (-.f64 a 1/2) b)`
11.6b	3	`(-.f64 a 1/2)`
11.6b	3	`(-.f64 a 1/2)`

Compiler

Compiled 223 to 133 computations (40.4% saved)

bsearch81.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	7.734564894876411e+164	3.2484372387023194e+168
33.0ms	-7.368873225820934e+104	-7.697335997843754e+102

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes326.0ms (1.9%)

Counts

19 → 5

Calls

Call 1

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

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

Calls

9 calls:

95.0ms	z
57.0ms	a
34.0ms	(-.f64 a 1/2)
23.0ms	(*.f64 (-.f64 a 1/2) b)
22.0ms	(log.f64 t)

Results

Error	Segments	Branch
12.8b	1	`x`
12.8b	1	`y`
6.9b	5	`z`
12.8b	1	`t`
11.7b	3	`a`
12.8b	1	`b`
12.8b	1	`(log.f64 t)`
12.8b	1	`(*.f64 (-.f64 a 1/2) b)`
11.7b	3	`(-.f64 a 1/2)`

Compiler

Compiled 170 to 108 computations (36.5% saved)

bsearch220.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	7.734564894876411e+164	3.2484372387023194e+168
62.0ms	-7.368873225820934e+104	-7.697335997843754e+102
64.0ms	-3.309809269377338e+130	-8.712113688225638e+127
61.0ms	-7.957361945696984e+229	-1.0990081117768975e+228

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes171.0ms (1%)

Counts

18 → 5

Calls

Call 1

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

Calls

9 calls:

43.0ms	z
26.0ms	a
20.0ms	(log.f64 t)
16.0ms	(-.f64 a 1/2)
14.0ms	b

Results

Error	Segments	Branch
12.8b	1	`x`
12.8b	1	`y`
6.9b	5	`z`
12.8b	1	`t`
11.7b	3	`a`
12.8b	1	`b`
12.8b	1	`(log.f64 t)`
12.8b	1	`(*.f64 (-.f64 a 1/2) b)`
11.7b	3	`(-.f64 a 1/2)`

Compiler

Compiled 164 to 105 computations (36% saved)

bsearch127.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	7.734564894876411e+164	3.2484372387023194e+168
31.0ms	-7.368873225820934e+104	-7.697335997843754e+102
31.0ms	-3.309809269377338e+130	-8.712113688225638e+127
32.0ms	-7.957361945696984e+229	-1.0990081117768975e+228

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes74.0ms (0.4%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	(*.f64 (-.f64 a 1/2) b)
9.0ms	b
9.0ms	t
9.0ms	y
9.0ms	z

Results

Error	Segments	Branch
12.8b	1	`x`
12.8b	1	`y`
12.8b	1	`z`
12.8b	1	`t`
12.8b	1	`a`
12.8b	1	`b`
12.8b	1	`(*.f64 (-.f64 a 1/2) b)`
12.8b	1	`(-.f64 a 1/2)`

Compiler

Compiled 144 to 95 computations (34% saved)

regimes263.0ms (1.6%)

Counts

15 → 2

Calls

Call 1

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

Calls

9 calls:

59.0ms	z
50.0ms	a
31.0ms	(*.f64 (-.f64 a 1/2) b)
31.0ms	b
22.0ms	t

Results

Error	Segments	Branch
16.4b	2	`x`
15.5b	2	`y`
20.9b	7	`z`
23.4b	3	`t`
21.2b	7	`a`
20.0b	3	`b`
17.4b	3	`(*.f64 (-.f64 a 1/2) b)`
23.6b	3	`(-.f64 a 1/2)`
23.6b	3	`(-.f64 a 1/2)`

Compiler

Compiled 142 to 98 computations (31% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	4.937679217572032e+32	5.9717612001782496e+32

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes203.0ms (1.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

9 calls:

44.0ms	z
44.0ms	a
26.0ms	b
26.0ms	(*.f64 (-.f64 a 1/2) b)
14.0ms	y

Results

Error	Segments	Branch
20.9b	2	`x`
16.6b	2	`y`
21.4b	7	`z`
25.0b	1	`t`
21.2b	7	`a`
20.0b	3	`b`
18.2b	3	`(*.f64 (-.f64 a 1/2) b)`
23.6b	3	`(-.f64 a 1/2)`
23.6b	3	`(-.f64 a 1/2)`

Compiler

Compiled 121 to 86 computations (28.9% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	1.8520332402366603e+133	5.502364381307492e+134

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes294.0ms (1.8%)

Counts

11 → 7

Calls

Call 1

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

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

Calls

9 calls:

56.0ms	t
49.0ms	a
43.0ms	b
42.0ms	x
30.0ms	z

Results

Error	Segments	Branch
21.8b	7	`x`
25.5b	3	`y`
31.9b	4	`z`
28.9b	9	`t`
24.6b	7	`a`
23.2b	7	`b`
22.8b	3	`(*.f64 (-.f64 a 1/2) b)`
29.0b	3	`(-.f64 a 1/2)`
29.0b	3	`(-.f64 a 1/2)`

Compiler

Compiled 114 to 82 computations (28.1% saved)

bsearch185.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
30.0ms	8.260166438081532e-172	4.510025834651792e-170
31.0ms	-5.937989269784567e-30	-2.982268514792094e-31
31.0ms	-1.3922257745236152e+20	-11597718527.690525
31.0ms	-5.102154439782116e+90	-5.564711191350851e+87
30.0ms	-1.9456712574625998e+141	-2.660466911657934e+140
31.0ms	-1.519209433235064e+169	-6.851022244064351e+168

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes483.0ms (2.9%)

Counts

10 → 3

Calls

Call 1

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

Calls

9 calls:

241.0ms	t
52.0ms	y
45.0ms	a
39.0ms	b
28.0ms	x

Results

Error	Segments	Branch
23.2b	5	`x`
26.1b	3	`y`
32.2b	4	`z`
29.1b	9	`t`
24.6b	7	`a`
23.3b	7	`b`
22.8b	3	`(*.f64 (-.f64 a 1/2) b)`
29.0b	3	`(-.f64 a 1/2)`
29.0b	3	`(-.f64 a 1/2)`

Compiler

Compiled 107 to 78 computations (27.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.212582237817373e+177	3.602151161772815e+181
0.0ms	-6.853029499879438e+63	-1.0119354842118525e+62

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes269.0ms (1.6%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

6 calls:

59.0ms	a
54.0ms	y
48.0ms	x
43.0ms	b
35.0ms	t

Results

Error	Segments	Branch
25.7b	7	`x`
31.5b	5	`y`
33.9b	3	`z`
34.4b	3	`t`
26.0b	9	`a`
27.3b	5	`b`

Compiler

Compiled 68 to 49 computations (27.9% saved)

bsearch275.0ms (1.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
52.0ms	4.175954560451962e-266	1.2798920604969156e-258
49.0ms	-9.191135023346093e-288	-5.116177616685742e-288
33.0ms	-4.372040017977281e-78	-1.4994422896073765e-79
32.0ms	-3.0979979443249815e-34	-2.2349869102272185e-34
47.0ms	-1.9456712574625998e+141	-2.660466911657934e+140
62.0ms	-1.519209433235064e+169	-6.851022244064351e+168

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes228.0ms (1.4%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

6 calls:

71.0ms	a
48.0ms	y
34.0ms	x
31.0ms	b
26.0ms	t

Results

Error	Segments	Branch
25.7b	7	`x`
31.7b	5	`y`
35.1b	2	`z`
33.7b	5	`t`
27.1b	7	`a`
27.6b	6	`b`

Compiler

Compiled 63 to 47 computations (25.4% saved)

bsearch307.0ms (1.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
33.0ms	4.175954560451962e-266	1.2798920604969156e-258
34.0ms	-9.191135023346093e-288	-5.116177616685742e-288
42.0ms	-4.372040017977281e-78	-1.4994422896073765e-79
73.0ms	-3.0979979443249815e-34	-2.2349869102272185e-34
84.0ms	-1.9456712574625998e+141	-2.660466911657934e+140
40.0ms	-1.519209433235064e+169	-6.851022244064351e+168

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes236.0ms (1.4%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

6 calls:

78.0ms	x
48.0ms	y
37.0ms	b
30.0ms	a
29.0ms	t

Results

Error	Segments	Branch
30.9b	7	`x`
33.7b	5	`y`
36.2b	1	`z`
35.0b	3	`t`
31.7b	3	`a`
33.8b	5	`b`

Compiler

Compiled 58 to 44 computations (24.1% saved)

bsearch369.0ms (2.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
40.0ms	1.1180995783023715e-246	5.639306418052146e-244
56.0ms	-5.239469094375334e-115	-1.5663563533518691e-124
36.0ms	-1.4994422896073765e-79	-3.6581276939056976e-84
119.0ms	-3.0979979443249815e-34	-2.2349869102272185e-34
60.0ms	-1.9456712574625998e+141	-2.660466911657934e+140
57.0ms	-1.519209433235064e+169	-6.851022244064351e+168

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes214.0ms (1.3%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

6 calls:

68.0ms	z
55.0ms	a
29.0ms	x
25.0ms	b
21.0ms	t

Results

Error	Segments	Branch
34.8b	5	`x`
35.9b	3	`y`
43.0b	7	`z`
44.8b	4	`t`
39.7b	5	`a`
41.4b	5	`b`

Compiler

Compiled 55 to 43 computations (21.8% saved)

bsearch133.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
33.0ms	1.1180995783023715e-246	5.639306418052146e-244
33.0ms	-3.0979979443249815e-34	-2.2349869102272185e-34
31.0ms	-1.9456712574625998e+141	-2.660466911657934e+140
35.0ms	-1.519209433235064e+169	-6.851022244064351e+168

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes132.0ms (0.8%)

Counts

4 → 2

Calls

Call 1

Inputs
z
y
x
y

Outputs
x
y

Calls

6 calls:

59.0ms	t
19.0ms	a
18.0ms	b
15.0ms	z
11.0ms	x

Results

Error	Segments	Branch
39.4b	2	`x`
38.5b	2	`y`
45.8b	3	`z`
46.0b	3	`t`
45.2b	5	`a`
46.3b	3	`b`

Compiler

Compiled 52 to 42 computations (19.2% saved)

bsearch61.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
60.0ms	8.016134672785661e+35	6.472923499933098e+38

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes24.0ms (0.1%)

Accuracy

Total -11.5b remaining (-22.5%)

Threshold costs -11.5b (-22.5%)

Counts

2 → 1

Calls

Call 1

Inputs
z
y

Outputs
y

Calls

6 calls:

5.0ms	a
4.0ms	x
3.0ms	y
3.0ms	b
3.0ms	z

Results

Error	Segments	Branch
51.3b	1	`x`
51.3b	1	`y`
51.3b	1	`z`
51.3b	1	`t`
51.3b	1	`a`
51.3b	1	`b`

Compiler

Compiled 50 to 42 computations (16% saved)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	785
1	166	785
2	181	785
3	187	785
4	190	785

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 y (fma.f64 z (log.f64 (/.f64 (E.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))
(if (<=.f64 z -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (+.f64 y (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x)) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)))
(if (<=.f64 z -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)))
(if (<=.f64 z -79573619456969835383839292492583933340042145595273437773818629418616942619173094341040244404746184453615863012881384256624584517405205996720110299008364533347106804134229154633709469524085385745580305339585527532593232532884946944) (.f64 (-.f64 1 (log.f64 t)) z) (if (<=.f64 z -33098092693773378916625962794920041477175239822769551844555529174989030748204552406089875100151436364743459720997347406585654149120) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (.f64 (-.f64 1 (log.f64 t)) z) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (*.f64 (-.f64 1 (log.f64 t)) z)))))
(if (<=.f64 z -79573619456969835383839292492583933340042145595273437773818629418616942619173094341040244404746184453615863012881384256624584517405205996720110299008364533347106804134229154633709469524085385745580305339585527532593232532884946944) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z -33098092693773378916625962794920041477175239822769551844555529174989030748204552406089875100151436364743459720997347406585654149120) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (-.f64 z (.f64 z (log.f64 t))) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (-.f64 z (*.f64 z (log.f64 t)))))))
(+.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 a 1/2) b))
(if (<=.f64 y 493767921757203185386380897288192) (+.f64 x (.f64 (-.f64 a 1/2) b)) (+.f64 y (.f64 (-.f64 a 1/2) b)))
(if (<=.f64 y 18520332402366602959473666044577720927267314901377209884851865488578034503945098662750044295506733228693274358252131551646920139079680) (+.f64 x (.f64 (-.f64 a 1/2) b)) (+.f64 y (.f64 a b)))
(if (<=.f64 x -15192094332350641472718061855577531117892873937598202316122269118933031709668984062898324343739400574942944491128816546674672993892140498437251999917656440206808722702336) (+.f64 y x) (if (<=.f64 x -1945671257462599756112639287921006786197215884038674964539514458051976439418017893761077886306512514137409437169913038760348113805054029332480) (.f64 (-.f64 a 1/2) b) (if (<=.f64 x -5102154439782115768092655774070953462706289636713357908110950140886803257356012433572888576) (+.f64 y x) (if (<=.f64 x -139222577452361515008) (+.f64 z (.f64 (-.f64 a 1/2) b)) (if (<=.f64 x -8474981484612771/1427247692705959881058285969449495136382746624) (+.f64 y (+.f64 z x)) (if (<=.f64 x 7188133023342673/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152) (+.f64 z (.f64 (-.f64 a 1/2) b)) (+.f64 y (.f64 a b))))))))
(if (<=.f64 (.f64 (-.f64 a 1/2) b) -5000000000000000106602095047271984361506289356339824733871669248) (.f64 (-.f64 a 1/2) b) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 4000000000000000029795922008297279565767979754332615489438570165250559409871264641054879505495628233633862410411138585134901735331239092732362276964464955348386155589441756856320) (+.f64 y (+.f64 z x)) (.f64 (-.f64 a 1/2) b)))
(if (<=.f64 x -15192094332350641472718061855577531117892873937598202316122269118933031709668984062898324343739400574942944491128816546674672993892140498437251999917656440206808722702336) (+.f64 y x) (if (<=.f64 x -1945671257462599756112639287921006786197215884038674964539514458051976439418017893761077886306512514137409437169913038760348113805054029332480) (.f64 a b) (if (<=.f64 x -7244366508925971/23384026197294446691258957323460528314494920687616) (+.f64 y (+.f64 z x)) (if (<=.f64 x -4559873436976023/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (.f64 a b) (if (<=.f64 x -6302963383888955/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (+.f64 (.f64 -1/2 b) y) (if (<=.f64 x 6064174844166969/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (.f64 a b) (+.f64 (*.f64 -1/2 b) y)))))))
(if (<=.f64 x -15192094332350641472718061855577531117892873937598202316122269118933031709668984062898324343739400574942944491128816546674672993892140498437251999917656440206808722702336) (+.f64 y x) (if (<=.f64 x -1945671257462599756112639287921006786197215884038674964539514458051976439418017893761077886306512514137409437169913038760348113805054029332480) (.f64 a b) (if (<=.f64 x -7244366508925971/23384026197294446691258957323460528314494920687616) (+.f64 y x) (if (<=.f64 x -4559873436976023/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (.f64 a b) (if (<=.f64 x -6302963383888955/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (+.f64 (.f64 -1/2 b) y) (if (<=.f64 x 6064174844166969/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (.f64 a b) (+.f64 (*.f64 -1/2 b) y)))))))
(if (<=.f64 x -15192094332350641472718061855577531117892873937598202316122269118933031709668984062898324343739400574942944491128816546674672993892140498437251999917656440206808722702336) (+.f64 y x) (if (<=.f64 x -1945671257462599756112639287921006786197215884038674964539514458051976439418017893761077886306512514137409437169913038760348113805054029332480) (.f64 a b) (if (<=.f64 x -7244366508925971/23384026197294446691258957323460528314494920687616) (+.f64 y x) (if (<=.f64 x -2502179134150721/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (.f64 a b) (if (<=.f64 x -90795732320357/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (+.f64 y x) (if (<=.f64 x 4400952849404785/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (*.f64 a b) (+.f64 y x)))))))
(if (<=.f64 x -15192094332350641472718061855577531117892873937598202316122269118933031709668984062898324343739400574942944491128816546674672993892140498437251999917656440206808722702336) x (if (<=.f64 x -1945671257462599756112639287921006786197215884038674964539514458051976439418017893761077886306512514137409437169913038760348113805054029332480) (.f64 a b) (if (<=.f64 x -7244366508925971/23384026197294446691258957323460528314494920687616) x (if (<=.f64 x 4400952849404785/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712) (.f64 a b) y))))
(if (<=.f64 y 801613467278566111631224415306383360) x y)
y
z

Outputs
(+.f64 y (fma.f64 z (log.f64 (/.f64 (E.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 -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (+.f64 y (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x)) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)))
(if (<=.f64 z -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (+.f64 y (+.f64 x (.f64 z (-.f64 1 (log.f64 t))))) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (+.f64 a -1/2))) (+.f64 x (*.f64 z (-.f64 1 (log.f64 t))))))
(if (<=.f64 z -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) x) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)))
(if (<=.f64 z -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (+.f64 x (.f64 z (-.f64 1 (log.f64 t)))) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (+.f64 a -1/2))) (+.f64 x (*.f64 z (-.f64 1 (log.f64 t))))))
(if (<=.f64 z -79573619456969835383839292492583933340042145595273437773818629418616942619173094341040244404746184453615863012881384256624584517405205996720110299008364533347106804134229154633709469524085385745580305339585527532593232532884946944) (.f64 (-.f64 1 (log.f64 t)) z) (if (<=.f64 z -33098092693773378916625962794920041477175239822769551844555529174989030748204552406089875100151436364743459720997347406585654149120) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 z -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (.f64 (-.f64 1 (log.f64 t)) z) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 a 1/2) b)) (*.f64 (-.f64 1 (log.f64 t)) z)))))
(if (<=.f64 z -79573619456969835383839292492583933340042145595273437773818629418616942619173094341040244404746184453615863012881384256624584517405205996720110299008364533347106804134229154633709469524085385745580305339585527532593232532884946944) (.f64 z (-.f64 1 (log.f64 t))) (if (<=.f64 z -33098092693773378916625962794920041477175239822769551844555529174989030748204552406089875100151436364743459720997347406585654149120) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (+.f64 a -1/2))) (if (<=.f64 z -736887322582093388076827161520646566658340537018630656249728225555039944211332387118132098133676489965568) (.f64 z (-.f64 1 (log.f64 t))) (if (<=.f64 z 773456489487641052864866812236311243973035611481905580301408553461749458082951719009586420618752968216231914338625220752815545831074199835801787076936880413428678656) (+.f64 (+.f64 z (+.f64 y x)) (.f64 b (+.f64 a -1/2))) (*.f64 z (-.f64 1 (log.f64 t)))))))
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(if (<=.f64 y 801613467278566111631224415306383360) x y)
y
z

Compiler

Compiled 655 to 409 computations (37.6% saved)

soundness224.0ms (1.3%)

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)

end332.0ms (2%)

Remove: (sort x y)
Compiler: Compiled 587 to 299 computations (49.1% saved)