Details

analyze375.0ms (3%)

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)

sample1.9s (15.3%)

Results

1.3s	8252×	body	256	valid
409.0ms	2982×	body	256	invalid
190.0ms	1197×	body	256	infinite
1.0ms	1×	body	2048	valid
1.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Bogosity

preprocess62.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1608×	`associate--r+`
1494×	`associate-+l-`
1436×	`associate-+l+`
1090×	`+-commutative`
914×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	752
1	285	688
2	1308	688
3	4227	688
4	7544	688
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 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (+.f64 a -1/2) b))
(fma.f64 (+.f64 a -1/2) b (+.f64 x (-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))))
(+.f64 (-.f64 z (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b (+.f64 x y)))
(+.f64 z (+.f64 x (-.f64 y (fma.f64 z (log.f64 t) (*.f64 b (-.f64 1/2 a))))))
(+.f64 (-.f64 (+.f64 (+.f64 y x) 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))
(fma.f64 (+.f64 a -1/2) b (+.f64 x (-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))))
(+.f64 (-.f64 z (*.f64 z (log.f64 t))) (fma.f64 (+.f64 a -1/2) b (+.f64 x y)))
(+.f64 z (+.f64 x (-.f64 y (fma.f64 z (log.f64 t) (*.f64 b (-.f64 1/2 a))))))
(+.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 (+.f64 x y) z) (.f64 x (log.f64 t))))
(fma.f64 (+.f64 a -1/2) b (-.f64 (+.f64 x (+.f64 y z)) (*.f64 x (log.f64 t))))
(+.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 x y)) (-.f64 z (*.f64 x (log.f64 t))))
(-.f64 (+.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 x y)) z) (*.f64 x (log.f64 t)))
(+.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 z (-.f64 (+.f64 y t) (*.f64 z (log.f64 x)))))
(fma.f64 (+.f64 a -1/2) b (+.f64 (+.f64 y z) (-.f64 t (*.f64 z (log.f64 x)))))
(+.f64 z (+.f64 y (-.f64 t (fma.f64 z (log.f64 x) (*.f64 b (-.f64 1/2 a))))))
(+.f64 (-.f64 (+.f64 (+.f64 a y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 x 1/2) b))
(+.f64 (-.f64 (+.f64 z (+.f64 y a)) (.f64 z (log.f64 t))) (.f64 b (+.f64 x -1/2)))
(fma.f64 b (+.f64 x -1/2) (+.f64 z (-.f64 (+.f64 y 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 (+.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 z (-.f64 (+.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 y (+.f64 b (-.f64 z (fma.f64 z (log.f64 t) (*.f64 x (-.f64 1/2 a))))))
(+.f64 (-.f64 (+.f64 (+.f64 x z) y) (.f64 y (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 y (log.f64 t)) (.f64 (+.f64 a -1/2) b)))
(fma.f64 (+.f64 a -1/2) b (+.f64 (+.f64 x y) (-.f64 z (*.f64 y (log.f64 t)))))
(+.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 y z)) (-.f64 x (*.f64 y (log.f64 t))))
(+.f64 x (-.f64 (+.f64 y 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 (+.f64 a -1/2) b) (+.f64 (+.f64 x t) (-.f64 z (.f64 z (log.f64 y)))))
(fma.f64 (+.f64 a -1/2) b (+.f64 x (-.f64 (+.f64 z t) (*.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 (+.f64 a z)) (.f64 z (log.f64 t))) (.f64 b (-.f64 y 1/2)))
(fma.f64 b (+.f64 y -1/2) (+.f64 x (-.f64 (+.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 (+.f64 x z) (-.f64 a (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 (fma.f64 y (+.f64 a -1/2) (+.f64 x (+.f64 z b))) (*.f64 z (log.f64 t)))
(+.f64 b (+.f64 x (-.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 y) (-.f64 t (.f64 t (log.f64 z)))))
(fma.f64 (+.f64 a -1/2) b (+.f64 (+.f64 x y) (-.f64 t (*.f64 t (log.f64 z)))))
(fma.f64 (+.f64 a -1/2) b (+.f64 (+.f64 x t) (-.f64 y (*.f64 t (log.f64 z)))))
(+.f64 (+.f64 y t) (-.f64 x (fma.f64 t (log.f64 z) (*.f64 b (-.f64 1/2 a)))))
(+.f64 (-.f64 (+.f64 (+.f64 x y) a) (.f64 a (log.f64 t))) (.f64 (-.f64 z 1/2) b))
(-.f64 (+.f64 x (+.f64 y a)) (-.f64 (.f64 (log.f64 t) a) (.f64 b (+.f64 z -1/2))))
(fma.f64 b (-.f64 z 1/2) (+.f64 x (+.f64 y (-.f64 a (*.f64 (log.f64 t) a)))))
(+.f64 (-.f64 a (*.f64 (log.f64 t) a)) (fma.f64 b (-.f64 z 1/2) (+.f64 x y)))
(+.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 (+.f64 y 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 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 a))) (.f64 (-.f64 t 1/2) b))
(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 a)))) (.f64 b (+.f64 t -1/2)))
(fma.f64 b (-.f64 t 1/2) (+.f64 (+.f64 x y) (-.f64 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 (+.f64 y 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 (+.f64 x y) z) (.f64 z (log.f64 b))) (.f64 t (+.f64 a -1/2)))
(fma.f64 t (+.f64 a -1/2) (+.f64 x (-.f64 (+.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 x (-.f64 (+.f64 y z) (fma.f64 z (log.f64 b) (*.f64 t (-.f64 1/2 a)))))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 b 1/2) a))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 a (+.f64 b -1/2)))
(fma.f64 a (+.f64 b -1/2) (+.f64 x (-.f64 (+.f64 y z) (*.f64 z (log.f64 t)))))

Symmetry

(sort x y)

Compiler

Compiled 28 to 21 computations (25% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1548×	`fma-neg`
1130×	`+-commutative`
1056×	`*-commutative`
902×	`distribute-neg-in`
798×	`fma-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	37	43
2	116	43
3	342	41
4	1047	39
5	3023	39
6	4403	39
7	6508	39
8	7526	39

Stop Event

1×	node limit

Counts

1 → 6

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

eval1.0ms (0%)

Compiler: Compiled 97 to 45 computations (53.6% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.0b

Counts

7 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 42 to 29 computations (31% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 55 to 29 computations (47.3% saved)

series246.0ms (1.9%)

Counts

3 → 168

Calls

42 calls:

Time	Variable		Point	Expression
150.0ms	t	@	inf	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b y))
18.0ms	t	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b y))
17.0ms	t	@	-inf	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b y))
8.0ms	z	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b y))
2.0ms	a	@	0	(fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b y))

rewrite132.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`associate-*r/`
1176×	`associate-*l/`
392×	`add-sqr-sqrt`
384×	`pow1`
384×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	87
1	374	87
2	4748	87

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

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

Outputs

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

simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1438×	`associate-/l*`
1012×	`associate--r+`
986×	`+-commutative`
706×	`associate-/r*`
654×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	379	13333
1	1019	13143
2	4334	13143

Stop Event

1×	node limit

Counts

303 → 245

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series23.0ms (0.2%)

Counts

4 → 140

Calls

42 calls:

Time	Variable		Point	Expression
16.0ms	z	@	0	(*.f64 z (log.f64 t))
0.0ms	b	@	inf	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.0ms	z	@	inf	(*.f64 z (log.f64 t))
0.0ms	a	@	-inf	(*.f64 (-.f64 a 1/2) b)
0.0ms	t	@	inf	(*.f64 z (log.f64 t))

rewrite129.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`associate-+l+`
598×	`+-commutative`
498×	`associate-+r+`
448×	`add-sqr-sqrt`
440×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	100
1	412	96
2	6055	96

Stop Event

1×	node limit

Counts

4 → 225

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)
(+.f64 (-.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 (sqrt.f64 (.f64 z (log.f64 t))) 2)))) (#(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 (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 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 log1p.f64 (-.f64 (pow.f64 t z) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b a) (.f64 b -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b -1/2) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a b) (.f64 -1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/2 b) (.f64 a b))))) (#(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 b (fma.f64 a a -1/4)) (+.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (+.f64 (pow.f64 a 3) -1/8)) (fma.f64 a a (+.f64 1/4 (.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 a a -1/4) b) (+.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 3) -1/8) b) (fma.f64 a a (+.f64 1/4 (.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a -1/2) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/2) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/2) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 a -1/2) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 a -1/2) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (+.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a -1/2) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 a -1/2) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 a -1/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/2) b)))))))
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simplify185.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-+r+`
1362×	`associate-+r-`
1198×	`associate-+l-`
898×	`fma-def`
814×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	541	16067
1	1531	14003
2	6911	14003

Stop Event

1×	node limit

Counts

365 → 329

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)))
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(-.f64 (+.f64 z (+.f64 x y)) (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t))))))) 1)
(-.f64 (+.f64 (+.f64 z (+.f64 x y)) (.f64 (+.f64 a -1/2) b)) (.f64 z (log.f64 t)))
(-.f64 (/.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (-.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) (.f64 (+.f64 a -1/2) b))) (/.f64 (pow.f64 (.f64 (+.f64 a -1/2) b) 2) (-.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) (.f64 (+.f64 a -1/2) b))))
(-.f64 (+.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) (exp.f64 (log1p.f64 (.f64 (+.f64 a -1/2) b)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 a -1/2) b) (exp.f64 (log1p.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 a -1/2) b) (/.f64 (pow.f64 (+.f64 z (+.f64 x y)) 2) (+.f64 z (+.f64 (.f64 z (log.f64 t)) (+.f64 x y))))) (/.f64 (pow.f64 (.f64 z (log.f64 t)) 2) (+.f64 z (+.f64 (.f64 z (log.f64 t)) (+.f64 x y)))))
(-.f64 (+.f64 (.f64 (+.f64 a -1/2) b) (/.f64 (pow.f64 (+.f64 z (+.f64 x y)) 3) (+.f64 (pow.f64 (+.f64 z (+.f64 x y)) 2) (.f64 (.f64 z (log.f64 t)) (+.f64 z (+.f64 (.f64 z (log.f64 t)) (+.f64 x y))))))) (/.f64 (pow.f64 (.f64 z (log.f64 t)) 3) (+.f64 (pow.f64 (+.f64 z (+.f64 x y)) 2) (.f64 (.f64 z (log.f64 t)) (+.f64 z (+.f64 (.f64 z (log.f64 t)) (+.f64 x y)))))))
(-.f64 (+.f64 (+.f64 (+.f64 z (+.f64 x y)) (.f64 (+.f64 a -1/2) b)) 0) (.f64 z (log.f64 t)))
(.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))) 1)
(.f64 1 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))))) (sqrt.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))))
(.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))))) 2) (cbrt.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))))
(.f64 (-.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (pow.f64 (.f64 (+.f64 a -1/2) b) 2)) (/.f64 1 (-.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) (*.f64 (+.f64 a -1/2) b))))
(.f64 (+.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 3) (pow.f64 (.f64 (+.f64 a -1/2) b) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) (.f64 (+.f64 a -1/2) b)) (-.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (pow.f64 (.f64 (+.f64 a -1/2) b) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))))) (+.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 3) (pow.f64 (*.f64 (+.f64 a -1/2) b) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (pow.f64 (.f64 (+.f64 a -1/2) b) 2)) (-.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) (.f64 (+.f64 a -1/2) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 3) (pow.f64 (.f64 (+.f64 a -1/2) b) 3)) (+.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 a -1/2) b) 2) (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2)) (-.f64 (.f64 (+.f64 a -1/2) b) (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))))
(/.f64 (-.f64 (pow.f64 (+.f64 z (+.f64 x y)) 2) (.f64 (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b)) (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b)))) (+.f64 z (+.f64 (+.f64 x y) (-.f64 (.f64 z (log.f64 t)) (*.f64 (+.f64 a -1/2) b)))))
(/.f64 (-.f64 (pow.f64 (+.f64 z (+.f64 x y)) 3) (pow.f64 (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b)) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 z (+.f64 x y)) 2) (.f64 (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b)) (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b)))) (.f64 (+.f64 z (+.f64 x y)) (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (pow.f64 (.f64 (+.f64 a -1/2) b) 2))) (neg.f64 (-.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) (.f64 (+.f64 a -1/2) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 3) (pow.f64 (.f64 (+.f64 a -1/2) b) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))))))
(pow.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t))))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t))))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t))))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t))))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))))
(fma.f64 (+.f64 a -1/2) b (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))
(fma.f64 b (+.f64 a -1/2) (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))
(fma.f64 1 (+.f64 z (+.f64 x y)) (neg.f64 (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b))))
(fma.f64 1 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) (.f64 (+.f64 a -1/2) b))
(fma.f64 1 (.f64 (+.f64 a -1/2) b) (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))))
(fma.f64 (sqrt.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))) (sqrt.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))) (*.f64 (+.f64 a -1/2) b))
(fma.f64 (sqrt.f64 (.f64 (+.f64 a -1/2) b)) (sqrt.f64 (.f64 (+.f64 a -1/2) b)) (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))
(fma.f64 (sqrt.f64 (+.f64 z (+.f64 x y))) (sqrt.f64 (+.f64 z (+.f64 x y))) (neg.f64 (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))) 2) (cbrt.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))) (*.f64 (+.f64 a -1/2) b))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/2) b)) 2) (cbrt.f64 (.f64 (+.f64 a -1/2) b)) (+.f64 z (-.f64 (+.f64 x y) (*.f64 z (log.f64 t)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z (+.f64 x y))) 2) (cbrt.f64 (+.f64 z (+.f64 x y))) (neg.f64 (-.f64 (.f64 z (log.f64 t)) (.f64 (+.f64 a -1/2) b))))

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

eval513.0ms (4.1%)

Compiler: Compiled 15615 to 6718 computations (57% saved)

prune202.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	560	14	574
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	562	14	576

Error

Counts

576 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	44.3b	(/.f64 1 (/.f64 (-.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) (.f64 (+.f64 a -1/2) b)) (-.f64 (pow.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t)))) 2) (pow.f64 (.f64 (+.f64 a -1/2) b) 2))))
	31.5b	(+.f64 (pow.f64 (sqrt.f64 (+.f64 z (-.f64 (+.f64 x y) (.f64 z (log.f64 t))))) 2) (.f64 (-.f64 a 1/2) b))
▶	0.2b	(+.f64 (+.f64 (.f64 z (neg.f64 (log.f64 t))) (+.f64 (+.f64 z (+.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))))) (*.f64 (-.f64 a 1/2) b))
	10.6b	(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
▶	34.3b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (-.f64 a 1/2) b))
	18.7b	(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) (+.f64 y x))
	27.1b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
	36.1b	(+.f64 x (-.f64 z (*.f64 (log.f64 t) z)))
▶	28.6b	(+.f64 x (*.f64 (-.f64 a 1/2) b))
▶	36.1b	(+.f64 x (*.f64 (-.f64 1 (log.f64 t)) z))
	37.7b	(+.f64 x (*.f64 a b))
▶	29.2b	(+.f64 x y)
	44.8b	(*.f64 (-.f64 a 1/2) b)
	46.7b	x

Compiler

Compiled 499 to 344 computations (31.1% saved)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 z (log.f64 t))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 z (log.f64 t))) 2)
✓	0.6b	(cbrt.f64 (*.f64 z (log.f64 t)))
✓	60.1b	(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)))

Compiler

Compiled 170 to 44 computations (74.1% saved)

series25.0ms (0.2%)

Counts

3 → 39

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	t	@	-inf	(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)))
2.0ms	t	@	0	(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)))
2.0ms	t	@	inf	(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)))
1.0ms	z	@	inf	(cbrt.f64 (*.f64 z (log.f64 t)))
1.0ms	z	@	0	(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)))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`*-commutative`
834×	`sqrt-prod`
722×	`unswap-sqr`
558×	`swap-sqr`
410×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	171
1	257	69
2	3016	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

980×	`distribute-lft-out`
934×	`+-commutative`
914×	`unswap-sqr`
802×	`associate-+r+`
792×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	1168
1	157	912
2	481	672
3	1355	672
4	3710	672
5	7147	672

Stop Event

1×	node limit

Counts

42 → 21

Calls

Call 1

Inputs
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))) (.f64 z (log.f64 t)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))) (.f64 z (log.f64 t)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))) (.f64 z (log.f64 t)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))) (.f64 z (log.f64 t)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 t)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 t)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 t)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 t)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z)))
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z))))
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z))))
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z))))
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z))))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 t)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 t)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 t)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 t)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2) (pow.f64 z 2)) 1/3)
(pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2) (pow.f64 z 2)) 1/3)
0
0
0

Outputs
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(*.f64 z (log.f64 t))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))) (.f64 z (log.f64 t)))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))) (.f64 z (log.f64 t)))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))) (.f64 z (log.f64 t)))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 z (log.f64 t)))) (.f64 z (log.f64 t)))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 t)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z)))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 t)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z)))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 t)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z)))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 t)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z)))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z))))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z))))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z))))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z))))
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 z (log.f64 t)) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (neg.f64 z) (log.f64 t))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (neg.f64 z) (log.f64 t))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (neg.f64 z) (log.f64 t))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 t)) z)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 z (neg.f64 (log.f64 t)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (neg.f64 z) (log.f64 t))) (cbrt.f64 -1))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) z) 1/3)
(cbrt.f64 (*.f64 z (log.f64 t)))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (*.f64 (pow.f64 z 2) (pow.f64 (log.f64 t) 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 t)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (neg.f64 (log.f64 t)) 2))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (log.f64 t) 2))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (log.f64 t) 2)))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 t)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (neg.f64 (log.f64 t)) 2))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (log.f64 t) 2))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (log.f64 t) 2)))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 t)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (neg.f64 (log.f64 t)) 2))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (log.f64 t) 2))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (log.f64 t) 2)))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 t)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (neg.f64 (log.f64 t)) 2))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 (*.f64 z z) (pow.f64 (log.f64 t) 2))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 z (*.f64 z (pow.f64 (log.f64 t) 2)))) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
(pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t)))) 2) (pow.f64 z 2)) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (pow.f64 (log.f64 t) 2)))
(cbrt.f64 (.f64 z (.f64 z (pow.f64 (log.f64 t) 2))))
0
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))
0
(+.f64 (.f64 z (log.f64 t)) (.f64 -1 (*.f64 z (log.f64 t))))
(.f64 0 (.f64 z (log.f64 t)))

localize5.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`*-commutative`
922×	`associate-*r/`
768×	`unswap-sqr`
656×	`associate-*l/`
598×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	201	15
2	2695	15

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1708×	`associate-/r*`
1662×	`associate-*r/`
1366×	`associate-*l/`
538×	`associate-/r/`
456×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	5278
1	701	4986
2	2998	4982

Stop Event

1×	node limit

Counts

118 → 149

Calls

Call 1

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

Outputs
(*.f64 (-.f64 a 1/2) b)
(*.f64 b (+.f64 a -1/2))
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
x
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
x
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) 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 b (+.f64 a -1/2) x)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) x))
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) x))
(fma.f64 b (+.f64 a -1/2) x)
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 b (+.f64 a -1/2) x)
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 a b) x))
(fma.f64 b (+.f64 a -1/2) x)
x
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(*.f64 (-.f64 a 1/2) b)
(*.f64 b (+.f64 a -1/2))
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(*.f64 (-.f64 a 1/2) b)
(*.f64 b (+.f64 a -1/2))
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(+.f64 (*.f64 (-.f64 a 1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/2) b))) (-.f64 1 x))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 b (+.f64 a -1/2)))) 1) x)
(+.f64 x (expm1.f64 (log1p.f64 (*.f64 b (+.f64 a -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 a -1/2) b x))) 1)
(fma.f64 b (+.f64 a -1/2) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (+.f64 a -1/2) b)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 b (+.f64 a -1/2))))
(fma.f64 b (+.f64 a -1/2) (expm1.f64 (log1p.f64 x)))
(-.f64 (/.f64 x (/.f64 (-.f64 x (.f64 (+.f64 a -1/2) b)) x)) (/.f64 (pow.f64 (.f64 (+.f64 a -1/2) b) 2) (-.f64 x (*.f64 (+.f64 a -1/2) b))))
(fma.f64 b (+.f64 a -1/2) x)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/2) b)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 b (+.f64 a -1/2)))) 1) x)
(+.f64 x (expm1.f64 (log1p.f64 (*.f64 b (+.f64 a -1/2)))))
(-.f64 (+.f64 (*.f64 (+.f64 a -1/2) b) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 b (+.f64 a -1/2))))
(fma.f64 b (+.f64 a -1/2) (expm1.f64 (log1p.f64 x)))
(*.f64 (fma.f64 (+.f64 a -1/2) b x) 1)
(fma.f64 b (+.f64 a -1/2) x)
(*.f64 1 (fma.f64 (+.f64 a -1/2) b x))
(fma.f64 b (+.f64 a -1/2) x)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/2) b x)) (sqrt.f64 (fma.f64 (+.f64 a -1/2) b x)))
(fma.f64 b (+.f64 a -1/2) 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))
(fma.f64 b (+.f64 a -1/2) 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)))
(fma.f64 b (+.f64 a -1/2) x)
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 a -1/2) b) 2)) (/.f64 1 (-.f64 x (.f64 (+.f64 a -1/2) b))))
(fma.f64 b (+.f64 a -1/2) x)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (+.f64 a -1/2) b) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (*.f64 (+.f64 a -1/2) b) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (*.f64 b (+.f64 a -1/2)) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (.f64 b (+.f64 a -1/2)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (*.f64 b (fma.f64 b (+.f64 a -1/2) (neg.f64 x))))))
(.f64 (/.f64 1 (-.f64 x (.f64 (+.f64 a -1/2) b))) (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 a -1/2) b) 2)))
(fma.f64 b (+.f64 a -1/2) x)
(.f64 (/.f64 1 (fma.f64 x x (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 a -1/2) b) 3)))
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(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 b (+.f64 a -1/2)) 2)) (+.f64 (sqrt.f64 (.f64 b (+.f64 a -1/2))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 b (+.f64 a -1/2)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 b (+.f64 a -1/2)) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 b (+.f64 a -1/2))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 b (+.f64 a -1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (+.f64 a -1/2) b) 3)) 1) (fma.f64 x x (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (*.f64 b (+.f64 a -1/2)) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (.f64 b (+.f64 a -1/2)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (*.f64 b (fma.f64 b (+.f64 a -1/2) (neg.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (+.f64 a -1/2) b) 3)) (sqrt.f64 (fma.f64 x x (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) x))))) (sqrt.f64 (fma.f64 x x (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (*.f64 (+.f64 a -1/2) b) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (*.f64 b (+.f64 a -1/2)) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (.f64 b (+.f64 a -1/2)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (*.f64 b (fma.f64 b (+.f64 a -1/2) (neg.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (+.f64 a -1/2) b) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) x)))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) x)))))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (*.f64 (+.f64 a -1/2) b) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (*.f64 b (+.f64 a -1/2)) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (.f64 b (+.f64 a -1/2)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (*.f64 b (fma.f64 b (+.f64 a -1/2) (neg.f64 x))))))
(pow.f64 (fma.f64 (+.f64 a -1/2) b x) 1)
(fma.f64 b (+.f64 a -1/2) x)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/2) b x)) 2)
(fma.f64 b (+.f64 a -1/2) x)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/2) b x)) 3)
(fma.f64 b (+.f64 a -1/2) x)
(pow.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b x) 3) 1/3)
(fma.f64 b (+.f64 a -1/2) x)
(neg.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (+.f64 a -1/2) b) 2)) (neg.f64 (-.f64 x (*.f64 (+.f64 a -1/2) b)))))
(fma.f64 b (+.f64 a -1/2) x)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (+.f64 a -1/2) b) 3)) (neg.f64 (fma.f64 x x (.f64 (.f64 (+.f64 a -1/2) b) (-.f64 (.f64 (+.f64 a -1/2) b) x))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (*.f64 b (+.f64 a -1/2)) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (.f64 b (-.f64 (.f64 b (+.f64 a -1/2)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)) (fma.f64 x x (.f64 (+.f64 a -1/2) (*.f64 b (fma.f64 b (+.f64 a -1/2) (neg.f64 x))))))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b x) 2))
(sqrt.f64 (pow.f64 (fma.f64 b (+.f64 a -1/2) x) 2))
(fabs.f64 (fma.f64 b (+.f64 a -1/2) x))
(log.f64 (exp.f64 (fma.f64 (+.f64 a -1/2) b x)))
(fma.f64 b (+.f64 a -1/2) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 a -1/2) b x))))
(fma.f64 b (+.f64 a -1/2) x)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 a -1/2) b x) 3))
(fma.f64 b (+.f64 a -1/2) x)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 a -1/2) b x)))
(fma.f64 b (+.f64 a -1/2) x)
(exp.f64 (log.f64 (fma.f64 (+.f64 a -1/2) b x)))
(fma.f64 b (+.f64 a -1/2) x)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 a -1/2) b x)))
(fma.f64 b (+.f64 a -1/2) x)
(fma.f64 (+.f64 a -1/2) b x)
(fma.f64 b (+.f64 a -1/2) x)
(fma.f64 b (+.f64 a -1/2) x)
(fma.f64 1 x (*.f64 (+.f64 a -1/2) b))
(fma.f64 b (+.f64 a -1/2) x)
(fma.f64 1 (*.f64 (+.f64 a -1/2) b) x)
(fma.f64 b (+.f64 a -1/2) x)
(fma.f64 (sqrt.f64 (.f64 (+.f64 a -1/2) b)) (sqrt.f64 (.f64 (+.f64 a -1/2) b)) x)
(fma.f64 b (+.f64 a -1/2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (+.f64 a -1/2) b))
(fma.f64 b (+.f64 a -1/2) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 a -1/2) b)) 2) (cbrt.f64 (.f64 (+.f64 a -1/2) b)) x)
(fma.f64 b (+.f64 a -1/2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (+.f64 a -1/2) b))
(fma.f64 b (+.f64 a -1/2) x)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series2.0ms (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	@	-inf	(*.f64 (-.f64 1 (log.f64 t)) z)
0.0ms	z	@	0	(*.f64 (-.f64 1 (log.f64 t)) z)
0.0ms	t	@	0	(*.f64 (-.f64 1 (log.f64 t)) z)
0.0ms	t	@	-inf	(+.f64 x (*.f64 (-.f64 1 (log.f64 t)) z))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`*-commutative`
936×	`associate-*r/`
678×	`associate-*l/`
674×	`distribute-lft-in`
658×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	225	36
2	2928	36

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-/l/`
1042×	`associate-/r/`
600×	`+-commutative`
572×	`associate-/l*`
546×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	355	7986
1	1009	7592
2	4543	7592

Stop Event

1×	node limit

Counts

166 → 211

Calls

Call 1

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

Outputs
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 t)))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(-.f64 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 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 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 z (log.f64 t)))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 z (-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 t)))))
(*.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))))
(*.f64 z (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 t))))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 z (-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 t)))))
(*.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))))
(*.f64 z (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 t))))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 z (-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 t)))))
(*.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))))
(*.f64 z (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 t))))
(.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z)
(*.f64 z (-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 t)))))
(*.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))))
(*.f64 z (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 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))) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
x
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
x
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (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 z (-.f64 1 (log.f64 t)) x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 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 z (-.f64 1 (log.f64 t)) x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 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 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 t)))) z x)
(fma.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) x)
(fma.f64 z (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 t))) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
(fma.f64 (-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 t)))) z x)
(fma.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) x)
(fma.f64 z (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 t))) x)
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(fma.f64 (-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 t)))) z x)
(fma.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) x)
(fma.f64 z (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 t))) x)
(+.f64 (.f64 (-.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 t))))) z) x)
(fma.f64 (-.f64 (-.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 t)))) z x)
(fma.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) x)
(fma.f64 z (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 t))) x)
x
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(-.f64 z (*.f64 z (log.f64 t)))
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(-.f64 z (*.f64 z (log.f64 t)))
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(+.f64 z (*.f64 z (neg.f64 (log.f64 t))))
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(-.f64 z (*.f64 z (log.f64 t)))
(+.f64 z (.f64 1 (.f64 z (neg.f64 (log.f64 t)))))
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(-.f64 z (*.f64 z (log.f64 t)))
(+.f64 z (.f64 (.f64 z (neg.f64 (log.f64 t))) 1))
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(-.f64 z (*.f64 z (log.f64 t)))
(+.f64 (*.f64 z (neg.f64 (log.f64 t))) z)
(*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z)
(-.f64 z (*.f64 z (log.f64 t)))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 (-.f64 1 (log.f64 t)) (.f64 z (-.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 z (*.f64 (-.f64 1 (log.f64 t)) (fma.f64 z (-.f64 1 (log.f64 t)) (neg.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 (-.f64 1 (log.f64 t)) z) (-.f64 (.f64 (-.f64 1 (log.f64 t)) z) x)))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 (-.f64 1 (log.f64 t)) z) (-.f64 (.f64 (-.f64 1 (log.f64 t)) z) x)))))) (cbrt.f64 (fma.f64 x x (.f64 (.f64 (-.f64 1 (log.f64 t)) z) (-.f64 (*.f64 (-.f64 1 (log.f64 t)) z) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 (-.f64 1 (log.f64 t)) (.f64 z (-.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 z (*.f64 (-.f64 1 (log.f64 t)) (fma.f64 z (-.f64 1 (log.f64 t)) (neg.f64 x))))))
(pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x) 1)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x)) 2)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x)) 3)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x) 3) 1/3)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x) 2))
(fabs.f64 (fma.f64 z (-.f64 1 (log.f64 t)) x))
(log.f64 (exp.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x)))
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x))))
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x) 3))
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x)))
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(exp.f64 (log.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x)))
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x)))
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(fma.f64 1 (*.f64 (-.f64 1 (log.f64 t)) z) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(fma.f64 1 x (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(fma.f64 (sqrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) (sqrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) 2) (cbrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) x)
(fma.f64 z (-.f64 1 (log.f64 t)) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 z (-.f64 1 (log.f64 t))))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (-.f64 z (.f64 z (log.f64 t))))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 26 computations (40.9% saved)

series2.0ms (0%)

Counts

1 → 32

Calls

12 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`associate-*r/`
1460×	`associate-*l/`
332×	`add-sqr-sqrt`
322×	`pow1`
322×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	319	31
2	4138	31

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

988×	`fma-def`
928×	`distribute-lft-in`
858×	`distribute-rgt-in`
788×	`associate-/l*`
698×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	6322
1	504	5710
2	1942	5682

Stop Event

1×	node limit

Counts

94 → 110

Calls

Call 1

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

Outputs
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 z (-.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 t)))))))
(fma.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) (*.f64 b (+.f64 a -1/2)))
(fma.f64 z (+.f64 1 (-.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1))) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 z (-.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 t)))))))
(fma.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) (*.f64 b (+.f64 a -1/2)))
(fma.f64 z (+.f64 1 (-.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1))) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 z (-.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 t)))))))
(fma.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) (*.f64 b (+.f64 a -1/2)))
(fma.f64 z (+.f64 1 (-.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1))) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 (-.f64 a 1/2) b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 z (-.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 t)))))))
(fma.f64 z (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t)))) (*.f64 b (+.f64 a -1/2)))
(fma.f64 z (+.f64 1 (-.f64 (log.f64 (/.f64 -1 t)) (log.f64 -1))) (*.f64 b (+.f64 a -1/2)))
(*.f64 (-.f64 a 1/2) b)
(*.f64 b (+.f64 a -1/2))
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 z (-.f64 1 (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 z (-.f64 1 (log.f64 t)))
(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 -1/2 b))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 b -1/2))
(fma.f64 b -1/2 (*.f64 z (-.f64 1 (log.f64 t))))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) (*.f64 (-.f64 1 (log.f64 t)) z)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) (*.f64 (-.f64 1 (log.f64 t)) z)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 a b) (+.f64 (.f64 -1/2 b) (*.f64 (-.f64 1 (log.f64 t)) z)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(*.f64 a b)
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 -1/2 b) (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (*.f64 a b)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(*.f64 z (-.f64 1 (log.f64 t)))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(*.f64 (-.f64 a 1/2) b)
(*.f64 b (+.f64 a -1/2))
(*.f64 (-.f64 a 1/2) b)
(*.f64 b (+.f64 a -1/2))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 a -1/2) b))) (-.f64 1 (.f64 (-.f64 1 (log.f64 t)) z)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b)))) 1)
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 (log.f64 t)) z))) (-.f64 1 (.f64 (+.f64 a -1/2) b)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (-.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (+.f64 a -1/2) b))) (/.f64 (pow.f64 (.f64 (+.f64 a -1/2) b) 2) (-.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (+.f64 a -1/2) b))))
(/.f64 (-.f64 (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 2) (pow.f64 (.f64 b (+.f64 a -1/2)) 2)) (-.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 b (+.f64 a -1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 b (+.f64 a -1/2)) 2) (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 2)) (fma.f64 b (+.f64 a -1/2) (*.f64 z (+.f64 -1 (log.f64 t)))))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (exp.f64 (log1p.f64 (.f64 (+.f64 a -1/2) b)))) 1)
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 3) 3) (pow.f64 (pow.f64 (.f64 b (+.f64 a -1/2)) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 6) (-.f64 (pow.f64 (.f64 b (+.f64 a -1/2)) 6) (.f64 (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 3) (pow.f64 (.f64 b (+.f64 a -1/2)) 3)))) (fma.f64 (+.f64 a -1/2) (.f64 b (fma.f64 b (+.f64 a -1/2) (.f64 z (+.f64 -1 (log.f64 t))))) (pow.f64 (*.f64 z (-.f64 1 (log.f64 t))) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 3) 3) (pow.f64 (pow.f64 (.f64 b (+.f64 a -1/2)) 3) 3)) (fma.f64 (pow.f64 (.f64 b (+.f64 a -1/2)) 3) (-.f64 (pow.f64 (.f64 b (+.f64 a -1/2)) 3) (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 3)) (pow.f64 (.f64 z (-.f64 1 (log.f64 t))) 6))) (fma.f64 b (.f64 (+.f64 a -1/2) (fma.f64 b (+.f64 a -1/2) (.f64 z (+.f64 -1 (log.f64 t))))) (pow.f64 (*.f64 z (-.f64 1 (log.f64 t))) 2)))
(pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b)) 1)
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b))) 2)
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b))) 3)
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b)) 3) 1/3)
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b)) 2))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(log.f64 (exp.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b))))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b)))))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b)) 3))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b))))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(exp.f64 (log.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b))))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (.f64 (+.f64 a -1/2) b))) 1))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b))))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 1 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 (+.f64 a -1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 1 (.f64 (+.f64 a -1/2) b) (.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 (+.f64 a -1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 (+.f64 a -1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 b (+.f64 a -1/2) (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 (sqrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) (sqrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) (*.f64 (+.f64 a -1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 a -1/2) b)) (sqrt.f64 (.f64 (+.f64 a -1/2) b)) (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) 2) (cbrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) (*.f64 (+.f64 a -1/2) b))
(fma.f64 (+.f64 a -1/2) b (*.f64 (-.f64 1 (neg.f64 (neg.f64 (log.f64 t)))) z))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 b (+.f64 a -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 a -1/2) b) 2)) (cbrt.f64 (.f64 (+.f64 a -1/2) b)) (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 b (+.f64 a -1/2)) 2)) (cbrt.f64 (.f64 b (+.f64 a -1/2))) (*.f64 z (-.f64 1 (log.f64 t))))

eval399.0ms (3.2%)

Compiler: Compiled 19771 to 11147 computations (43.6% saved)

prune221.0ms (1.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	689	9	698
Fresh	3	6	9
Picked	1	0	1
Done	3	1	4
Total	696	16	712

Error

Counts

712 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	36.2b	(/.f64 1 (/.f64 1 (fma.f64 (-.f64 1 (log.f64 t)) z x)))
▶	10.6b	(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
	43.3b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b a))
▶	43.0b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 -1/2 b))
	18.7b	(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) (+.f64 y x))
▶	37.6b	(+.f64 (*.f64 -1/2 b) x)
	27.1b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
	36.2b	(+.f64 x (/.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 (+.f64 1 (log.f64 t)) z)))
	36.2b	(+.f64 x (/.f64 z (/.f64 1 (-.f64 1 (log.f64 t)))))
▶	36.1b	(+.f64 x (-.f64 z (*.f64 (log.f64 t) z)))
	37.7b	(+.f64 x (*.f64 b a))
✓	29.2b	(+.f64 x y)
	44.8b	(*.f64 (-.f64 a 1/2) b)
	52.1b	(*.f64 (-.f64 1 (log.f64 t)) z)
▶	53.8b	(*.f64 a b)
	46.7b	x

Compiler

Compiled 412 to 321 computations (22.1% saved)

localize43.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 17 computations (45.2% saved)

localize4.0ms (0%)

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

localize7.0ms (0.1%)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (-.f64 z (*.f64 (log.f64 t) z)))
✓	0.2b	(-.f64 z (*.f64 (log.f64 t) z))
✓	0.3b	(*.f64 (log.f64 t) z)

Compiler

Compiled 29 to 10 computations (65.5% saved)

series2.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite177.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`*-commutative`
1014×	`associate-*r/`
938×	`distribute-lft-in`
922×	`distribute-rgt-in`
666×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	218	51
2	3093	51

Stop Event

1×	node limit

Counts

3 → 244

Calls

Call 1

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

Outputs

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

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

simplify169.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-r`
752×	`associate-l`
602×	`+-commutative`
598×	`associate-+l+`
598×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	644	17036
1	1895	15992

Stop Event

1×	node limit

Counts

328 → 399

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

Outputs
(*.f64 z (log.f64 t))
(log.f64 (pow.f64 t z))
(*.f64 z (log.f64 t))
(log.f64 (pow.f64 t z))
(*.f64 z (log.f64 t))
(log.f64 (pow.f64 t z))
(*.f64 z (log.f64 t))
(log.f64 (pow.f64 t z))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(log.f64 (pow.f64 t z))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(log.f64 (pow.f64 t z))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(log.f64 (pow.f64 t z))
(*.f64 z (log.f64 t))
(.f64 -1 (.f64 (log.f64 (/.f64 1 t)) z))
(log.f64 (pow.f64 t z))
(*.f64 z (log.f64 t))
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(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
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(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
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(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 t))))
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(*.f64 z (log.f64 t))
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(*.f64 z (log.f64 t))
(log.f64 (pow.f64 t z))
(*.f64 z (log.f64 t))
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(*.f64 z (log.f64 t))
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(*.f64 z (log.f64 t))
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(*.f64 z (log.f64 t))
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(*.f64 z (log.f64 t))
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(*.f64 z (log.f64 t))
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(*.f64 z (log.f64 t))
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(*.f64 (-.f64 1 (log.f64 t)) z)
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(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
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(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
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(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 (-.f64 1 (log.f64 t)) z)
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(-.f64 z (*.f64 z (log.f64 t)))
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(.f64 (+.f64 1 (.f64 -1 (log.f64 t))) z)
(*.f64 z (-.f64 1 (log.f64 t)))
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(.f64 (+.f64 1 (.f64 -1 (log.f64 t))) z)
(*.f64 z (-.f64 1 (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(-.f64 z (*.f64 z (log.f64 t)))
(*.f64 z (-.f64 1 (log.f64 t)))
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(*.f64 z (-.f64 1 (log.f64 t)))
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(*.f64 z (-.f64 1 (log.f64 t)))
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(*.f64 z (-.f64 1 (log.f64 t)))
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(-.f64 (+.f64 z x) (*.f64 z (log.f64 t)))
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
(-.f64 (+.f64 z x) (*.f64 z (log.f64 t)))
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
(-.f64 (+.f64 z x) (*.f64 z (log.f64 t)))
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
x
(-.f64 (+.f64 z x) (*.f64 z (log.f64 t)))
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
x
(-.f64 (+.f64 z x) (*.f64 z (log.f64 t)))
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
(-.f64 (+.f64 z x) (*.f64 z (log.f64 t)))
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
x
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(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z 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) x)
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
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(fma.f64 (-.f64 1 (log.f64 t)) z 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) x)
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
(-.f64 (+.f64 z x) (*.f64 z (log.f64 t)))
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
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(fma.f64 (-.f64 1 (log.f64 t)) z x)
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(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 z (log.f64 (pow.f64 t z))) 3) 3)) (.f64 (fma.f64 x x (.f64 (-.f64 z (log.f64 (pow.f64 t z))) (-.f64 z (fma.f64 (log.f64 t) z x)))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (-.f64 z (log.f64 (pow.f64 t z))) 6) (*.f64 (pow.f64 (-.f64 z (log.f64 (pow.f64 t z))) 3) (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 3) 3)) (.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 z (log.f64 t))) (-.f64 z (fma.f64 (log.f64 t) z x)))) (-.f64 (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 6) (-.f64 (.f64 (pow.f64 (-.f64 z (*.f64 z (log.f64 t))) 3) (pow.f64 x 3)) (pow.f64 x 6)))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (.f64 (log.f64 t) z)) 2)) 1) (+.f64 (*.f64 (log.f64 t) z) (-.f64 x z)))
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (.f64 (log.f64 t) z)) 2)) (sqrt.f64 (+.f64 (.f64 (log.f64 t) z) (-.f64 x z)))) (sqrt.f64 (+.f64 (.f64 (log.f64 t) z) (-.f64 x z))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (log.f64 (pow.f64 t z))) 2)) (.f64 (sqrt.f64 (fma.f64 (log.f64 t) z (-.f64 x z))) (sqrt.f64 (fma.f64 (log.f64 t) z (-.f64 x z)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 2)) (*.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 t) z x) z)) (sqrt.f64 (-.f64 (fma.f64 (log.f64 t) z x) z))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (.f64 (log.f64 t) z)) 2)) (.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 t) z) (-.f64 x z))) (cbrt.f64 (+.f64 (.f64 (log.f64 t) z) (-.f64 x z))))) (cbrt.f64 (+.f64 (.f64 (log.f64 t) z) (-.f64 x z))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (log.f64 (pow.f64 t z))) 2)) (.f64 (cbrt.f64 (fma.f64 (log.f64 t) z (-.f64 x z))) (*.f64 (cbrt.f64 (fma.f64 (log.f64 t) z (-.f64 x z))) (cbrt.f64 (fma.f64 (log.f64 t) z (-.f64 x z))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 2)) (.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 t) z x) z)) (.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 t) z x) z)) (cbrt.f64 (-.f64 (fma.f64 (log.f64 t) z x) z)))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (.f64 (log.f64 t) z)) 2)) (+.f64 (sqrt.f64 (-.f64 z (.f64 (log.f64 t) z))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 z (.f64 (log.f64 t) z)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (log.f64 (pow.f64 t z))) 2)) (.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 z (log.f64 (pow.f64 t z))))) (+.f64 (sqrt.f64 (-.f64 z (log.f64 (pow.f64 t z)))) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 2)) (.f64 (+.f64 (sqrt.f64 (-.f64 z (.f64 z (log.f64 t)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 z (*.f64 z (log.f64 t)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 z (.f64 (log.f64 t) z)) 3)) 1) (fma.f64 x x (.f64 (-.f64 z (.f64 (log.f64 t) z)) (-.f64 z (+.f64 (.f64 (log.f64 t) z) x)))))
(.f64 (+.f64 (pow.f64 (-.f64 z (log.f64 (pow.f64 t z))) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (-.f64 z (log.f64 (pow.f64 t z))) (-.f64 z (fma.f64 (log.f64 t) z x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (-.f64 z (*.f64 z (log.f64 t))) (-.f64 z (fma.f64 (log.f64 t) z x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 z (.f64 (log.f64 t) z)) 3)) (sqrt.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 (log.f64 t) z)) (-.f64 z (+.f64 (.f64 (log.f64 t) z) x)))))) (sqrt.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 (log.f64 t) z)) (-.f64 z (+.f64 (*.f64 (log.f64 t) z) x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 z (log.f64 (pow.f64 t z))) 3) (pow.f64 x 3)) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (-.f64 z (log.f64 (pow.f64 t z))) (-.f64 z (fma.f64 (log.f64 t) z x))))) (sqrt.f64 (fma.f64 x x (*.f64 (-.f64 z (log.f64 (pow.f64 t z))) (-.f64 z (fma.f64 (log.f64 t) z x)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 3) (pow.f64 x 3)) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 z (log.f64 t))) (-.f64 z (fma.f64 (log.f64 t) z x))))) (sqrt.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 z (log.f64 t))) (-.f64 z (fma.f64 (log.f64 t) z x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 z (.f64 (log.f64 t) z)) 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 (log.f64 t) z)) (-.f64 z (+.f64 (.f64 (log.f64 t) z) x))))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 (log.f64 t) z)) (-.f64 z (+.f64 (.f64 (log.f64 t) z) x))))))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 (log.f64 t) z)) (-.f64 z (+.f64 (*.f64 (log.f64 t) z) x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 z (log.f64 (pow.f64 t z))) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (-.f64 z (log.f64 (pow.f64 t z))) (-.f64 z (fma.f64 (log.f64 t) z x))))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (-.f64 z (log.f64 (pow.f64 t z))) (-.f64 z (fma.f64 (log.f64 t) z x))))) (cbrt.f64 (fma.f64 x x (*.f64 (-.f64 z (log.f64 (pow.f64 t z))) (-.f64 z (fma.f64 (log.f64 t) z x))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 z (.f64 z (log.f64 t))) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 z (log.f64 t))) (-.f64 z (fma.f64 (log.f64 t) z x))))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (-.f64 z (.f64 z (log.f64 t))) (-.f64 z (fma.f64 (log.f64 t) z x))))) (cbrt.f64 (fma.f64 x x (.f64 (-.f64 z (*.f64 z (log.f64 t))) (-.f64 z (fma.f64 (log.f64 t) z x))))))))
(pow.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z))) 1)
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(pow.f64 (sqrt.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z)))) 2)
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(pow.f64 (cbrt.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z)))) 3)
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(pow.f64 (pow.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z))) 3) 1/3)
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(sqrt.f64 (pow.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z))) 2))
(sqrt.f64 (pow.f64 (+.f64 z (-.f64 x (log.f64 (pow.f64 t z)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z x) 2))
(log.f64 (/.f64 (exp.f64 (+.f64 z x)) (pow.f64 t z)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z))))))
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(cbrt.f64 (pow.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z))) 3))
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(expm1.f64 (log1p.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z)))))
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(exp.f64 (log.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z)))))
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(log1p.f64 (expm1.f64 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z)))))
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(fma.f64 1 (-.f64 z (*.f64 (log.f64 t) z)) x)
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(fma.f64 1 x (-.f64 z (*.f64 (log.f64 t) z)))
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(fma.f64 (sqrt.f64 (-.f64 z (.f64 (log.f64 t) z))) (sqrt.f64 (-.f64 z (.f64 (log.f64 t) z))) x)
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 z (*.f64 (log.f64 t) z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 z (log.f64 (pow.f64 t z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 z (*.f64 z (log.f64 t))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 z (.f64 (log.f64 t) z))) 2) (cbrt.f64 (-.f64 z (.f64 (log.f64 t) z))) x)
(+.f64 z (-.f64 x (log.f64 (pow.f64 t z))))
(fma.f64 (-.f64 1 (log.f64 t)) z x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 z (*.f64 (log.f64 t) z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 z (log.f64 (pow.f64 t z))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 z (*.f64 z (log.f64 t))))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 22 computations (38.9% saved)

series1.0ms (0%)

Counts

1 → 33

Calls

9 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`associate-*r/`
922×	`associate-*l/`
818×	`distribute-rgt-in`
778×	`distribute-lft-in`
282×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	268	25
2	3384	25

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

Outputs

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

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1680×	`associate-*r/`
1592×	`associate-/r*`
1344×	`associate-*l/`
776×	`associate-/r/`
406×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	256	8333
1	741	7479
2	3497	7479

Stop Event

1×	node limit

Counts

117 → 149

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
(*.f64 -1/2 b)
(*.f64 (-.f64 1 (log.f64 t)) z)
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(*.f64 (-.f64 1 (log.f64 t)) z)
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(*.f64 z (-.f64 1 (log.f64 t)))
(+.f64 (.f64 -1/2 b) (.f64 z (-.f64 1 (log.f64 t))))
(+.f64 (.f64 -1/2 b) (.f64 z (-.f64 1 (log.f64 t))))
(+.f64 (.f64 -1/2 b) (.f64 z (-.f64 1 (log.f64 t))))
(*.f64 -1/2 b)
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 -1/2 b))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 -1/2 b))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 -1/2 b))
(*.f64 -1/2 b)
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 -1/2 b))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 -1/2 b))
(+.f64 (.f64 z (-.f64 1 (log.f64 t))) (.f64 -1/2 b))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 b))) (-.f64 1 (.f64 (-.f64 1 (log.f64 t)) z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 (log.f64 t)) z))) (-.f64 1 (.f64 -1/2 b)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (fma.f64 (-.f64 1 (log.f64 t)) z (neg.f64 (.f64 -1/2 b)))) (/.f64 (.f64 b b) (/.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (neg.f64 (.f64 -1/2 b))) 1/4)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (exp.f64 (log1p.f64 (.f64 -1/2 b)))) 1)
(-.f64 (+.f64 (.f64 -1/2 b) (exp.f64 (log1p.f64 (.f64 (-.f64 1 (log.f64 t)) z)))) 1)
(.f64 1 (fma.f64 (-.f64 1 (log.f64 t)) z (.f64 -1/2 b)))
(.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (.f64 -1/2 b)) 1)
(.f64 (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (.f64 -1/2 b))) (sqrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))))
(.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (.f64 -1/2 b))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (.f64 -1/2 b))) 2) (cbrt.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 b b) 1/4)) (/.f64 1 (fma.f64 (-.f64 1 (log.f64 t)) z (neg.f64 (*.f64 -1/2 b)))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 3) (.f64 (pow.f64 b 3) -1/8)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))))))
(.f64 (/.f64 1 (fma.f64 (-.f64 1 (log.f64 t)) z (neg.f64 (.f64 -1/2 b)))) (-.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (*.f64 b b) 1/4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))))) (+.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 3) (.f64 (pow.f64 b 3) -1/8)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 b b) 1/4)) (-.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 b b) 1/4))) (fma.f64 (-.f64 1 (log.f64 t)) z (.f64 -1/2 b)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 b b) 1/4)) (-.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 3) (.f64 (pow.f64 b 3) -1/8))) (+.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 -1/2 b) (fma.f64 (-.f64 1 (log.f64 t)) z (.f64 -1/2 b)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 3) (.f64 (pow.f64 b 3) -1/8)) (-.f64 (.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2)) (.f64 (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))) (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z)))))) (-.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 3) (.f64 (pow.f64 b 3) -1/8)) (+.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) 3) (pow.f64 (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))) 3))) (+.f64 (.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2)) (-.f64 (.f64 (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))) (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z)))) (.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z)))))))
(/.f64 1 (/.f64 1 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))))
(/.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (.f64 -1/2 b)) (/.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (neg.f64 (.f64 -1/2 b))) (fma.f64 (-.f64 1 (log.f64 t)) z (neg.f64 (*.f64 -1/2 b)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 b b) 1/4)) (fma.f64 (-.f64 1 (log.f64 t)) z (neg.f64 (.f64 -1/2 b))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 3) (.f64 (pow.f64 b 3) -1/8)) (+.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 -1/2 b) (-.f64 (.f64 -1/2 b) (*.f64 (-.f64 1 (log.f64 t)) z)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1 (log.f64 t)) z) 2) (.f64 (.f64 b b) 1/4)) 1) (fma.f64 (-.f64 1 (log.f64 t)) z (neg.f64 (.f64 -1/2 b))))
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(pow.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b)) 2))
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(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))))
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(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))))
(fma.f64 1 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 -1/2 b))
(fma.f64 1 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 z (-.f64 1 (log.f64 t)) (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 b -1/2 (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (sqrt.f64 (.f64 -1/2 b)) (sqrt.f64 (.f64 -1/2 b)) (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (sqrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) (sqrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) (*.f64 -1/2 b))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 b)) 2) (cbrt.f64 (.f64 -1/2 b)) (*.f64 (-.f64 1 (log.f64 t)) z))
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Outputs
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 t)))) z))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
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(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
(+.f64 (.f64 -1/2 b) (.f64 (-.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 t))))) z))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 b)) 2) (cbrt.f64 (.f64 -1/2 b)) (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) 2) (cbrt.f64 (.f64 (-.f64 1 (log.f64 t)) z)) (*.f64 -1/2 b))
(fma.f64 (-.f64 1 (log.f64 t)) z (*.f64 -1/2 b))
(fma.f64 -1/2 b (*.f64 (-.f64 1 (log.f64 t)) z))

eval223.0ms (1.8%)

Compiler: Compiled 19026 to 8031 computations (57.8% saved)

prune304.0ms (2.4%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	652	3	655
Fresh	1	9	10
Picked	0	1	1
Done	1	4	5
Total	654	17	671

Error

Counts

671 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	36.2b	(/.f64 1 (/.f64 1 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z)))))
▶	20.2b	(+.f64 (+.f64 y x) (*.f64 b a))
	43.3b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b a))
✓	43.0b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 -1/2 b))
▶	18.7b	(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) (+.f64 y x))
✓	37.6b	(+.f64 (*.f64 -1/2 b) x)
	27.1b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
	36.2b	(+.f64 x (/.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 (+.f64 1 (log.f64 t)) z)))
▶	36.2b	(+.f64 x (/.f64 z (/.f64 1 (-.f64 1 (log.f64 t)))))
✓	36.1b	(+.f64 x (-.f64 z (*.f64 (log.f64 t) z)))
▶	37.7b	(+.f64 x (*.f64 b a))
✓	29.2b	(+.f64 x y)
	44.8b	(*.f64 (-.f64 a 1/2) b)
	52.1b	(*.f64 (-.f64 1 (log.f64 t)) z)
✓	53.8b	(*.f64 a b)
▶	53.4b	(*.f64 -1/2 b)
	46.7b	x

Compiler

Compiled 378 to 294 computations (22.2% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 18 computations (50% saved)

series3.0ms (0%)

Counts

2 → 55

Calls

18 calls:

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

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`associate-*r/`
1436×	`associate-*l/`
346×	`associate-/r*`
320×	`associate-+l+`
296×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	278	42
2	3807	42

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 y)) (-.f64 1 (+.f64 (*.f64 z (-.f64 1 (log.f64 t))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y x))) (-.f64 1 (*.f64 z (-.f64 1 (log.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 1 (log.f64 t))))) (-.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 z (-.f64 1 (log.f64 t)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 (log.f64 t)) (+.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 z (-.f64 1 (log.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 1 (log.f64 t))) 2) (-.f64 (*.f64 z (-.f64 1 (log.f64 t))) (+.f64 y x))) (/.f64 (pow.f64 (+.f64 y x) 2) (-.f64 (*.f64 z (-.f64 1 (log.f64 t))) (+.f64 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simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1458×	`associate-/r*`
830×	`associate-+l+`
778×	`associate-*r/`
750×	`associate-+r+`
680×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	402	9532
1	1054	9302
2	4290	9302

Stop Event

1×	node limit

Counts

194 → 227

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

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

localize5.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`add-sqr-sqrt`
1622×	`*-un-lft-identity`
1512×	`add-cube-cbrt`
1496×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	9
2	1990	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-r`
1208×	`associate-l`
852×	`distribute-lft-neg-in`
746×	`associate-+r+`
536×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	1139
1	224	1109
2	838	1109
3	4919	1109

Stop Event

1×	node limit

Counts

73 → 48

Calls

Call 1

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

Outputs
(*.f64 a b)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
x
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
x
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
x
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(*.f64 a b)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(*.f64 a b)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
x
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(*.f64 a b)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(*.f64 a b)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b a x))) 1)
(fma.f64 a b x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 b a))) (/.f64 (pow.f64 (.f64 b a) 2) (-.f64 x (.f64 b a))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (-.f64 x (*.f64 a b)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (fma.f64 b (neg.f64 a) x))
(*.f64 (fma.f64 b a x) 1)
(fma.f64 a b x)
(*.f64 1 (fma.f64 b a x))
(fma.f64 a b x)
(*.f64 (sqrt.f64 (fma.f64 b a x)) (sqrt.f64 (fma.f64 b a x)))
(fma.f64 a b x)
(*.f64 (cbrt.f64 (fma.f64 b a x)) (pow.f64 (cbrt.f64 (fma.f64 b a x)) 2))
(fma.f64 a b x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b a x)) 2) (cbrt.f64 (fma.f64 b a x)))
(fma.f64 a b x)
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 b a) 2)) (/.f64 1 (-.f64 x (.f64 b a))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (-.f64 x (*.f64 a b)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (fma.f64 b (neg.f64 a) x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b a) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 b a) (-.f64 (*.f64 b a) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 a b) (fma.f64 b a (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 x x (.f64 (.f64 a b) (-.f64 (.f64 a b) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 a (.f64 b (-.f64 (.f64 a b) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 b (.f64 a (fma.f64 a b (neg.f64 x))) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (.f64 b a)) (-.f64 (.f64 x x) (pow.f64 (*.f64 b a) 2))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (-.f64 x (*.f64 a b)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (fma.f64 b (neg.f64 a) x))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 b a) (-.f64 (.f64 b a) x))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b a) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 a b) (fma.f64 b a (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 x x (.f64 (.f64 a b) (-.f64 (.f64 a b) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 a (.f64 b (-.f64 (.f64 a b) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 b (.f64 a (fma.f64 a b (neg.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 b a) 2)) (-.f64 x (*.f64 b a)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (-.f64 x (*.f64 a b)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (fma.f64 b (neg.f64 a) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b a) 3)) (fma.f64 x x (.f64 (.f64 b a) (-.f64 (.f64 b a) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 a b) (fma.f64 b a (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 x x (.f64 (.f64 a b) (-.f64 (.f64 a b) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 a (.f64 b (-.f64 (.f64 a b) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 b (.f64 a (fma.f64 a b (neg.f64 x))) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b a) 3)) (+.f64 (pow.f64 (.f64 b a) 2) (-.f64 (.f64 x x) (.f64 (*.f64 x a) b))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 a b) (fma.f64 b a (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 x x (.f64 (.f64 a b) (-.f64 (.f64 a b) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 a (.f64 b (-.f64 (.f64 a b) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 b (.f64 a (fma.f64 a b (neg.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 b a) 2) (.f64 x x)) (-.f64 (*.f64 b a) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (-.f64 x (*.f64 a b)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (fma.f64 b (neg.f64 a) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 b a) 2))) (neg.f64 (-.f64 x (*.f64 b a))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (-.f64 x (*.f64 a b)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 a b) 2)) (fma.f64 b (neg.f64 a) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 b a) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 b a) (-.f64 (.f64 b a) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 a b) (fma.f64 b a (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 x x (.f64 (.f64 a b) (-.f64 (.f64 a b) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 a (.f64 b (-.f64 (.f64 a b) x)) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 a b) 3)) (fma.f64 b (.f64 a (fma.f64 a b (neg.f64 x))) (*.f64 x x)))
(pow.f64 (fma.f64 b a x) 1)
(fma.f64 a b x)
(pow.f64 (sqrt.f64 (fma.f64 b a x)) 2)
(fma.f64 a b x)
(pow.f64 (cbrt.f64 (fma.f64 b a x)) 3)
(fma.f64 a b x)
(pow.f64 (pow.f64 (fma.f64 b a x) 3) 1/3)
(fma.f64 a b x)
(sqrt.f64 (pow.f64 (fma.f64 b a x) 2))
(fma.f64 a b x)
(log.f64 (exp.f64 (fma.f64 b a x)))
(fma.f64 a b x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b a x))))
(fma.f64 a b x)
(cbrt.f64 (pow.f64 (fma.f64 b a x) 3))
(fma.f64 a b x)
(expm1.f64 (log1p.f64 (fma.f64 b a x)))
(fma.f64 a b x)
(exp.f64 (log.f64 (fma.f64 b a x)))
(fma.f64 a b x)
(exp.f64 (*.f64 (log.f64 (fma.f64 b a x)) 1))
(fma.f64 a b x)
(log1p.f64 (expm1.f64 (fma.f64 b a x)))
(fma.f64 a b x)
(fma.f64 b a x)
(fma.f64 a b x)
(fma.f64 a b x)
(fma.f64 1 x (*.f64 b a))
(fma.f64 a b x)
(fma.f64 1 (*.f64 b a) x)
(fma.f64 a b x)
(fma.f64 (sqrt.f64 (.f64 b a)) (sqrt.f64 (.f64 b a)) x)
(fma.f64 a b x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 b a))
(fma.f64 a b x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2) (cbrt.f64 (.f64 b a)) x)
(fma.f64 a b x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 b a))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 a b))
(fma.f64 a b (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`*-commutative`
892×	`associate-*r/`
838×	`distribute-lft-in`
820×	`distribute-rgt-in`
790×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	199	15
2	2853	15

Stop Event

1×	node limit

Counts

1 → 94

Calls

Call 1

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

Outputs

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

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1798×	`associate-/r*`
664×	`associate-/r/`
618×	`+-commutative`
556×	`associate-/l/`
526×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	274	5840
1	822	5562
2	3718	5562

Stop Event

1×	node limit

Counts

142 → 170

Calls

Call 1

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

Outputs
(+.f64 (*.f64 a b) x)
(fma.f64 a b x)
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
y
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
y
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) y)
(fma.f64 a b y)
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
x
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
x
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(+.f64 (*.f64 a b) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 y x) 2) 3) (pow.f64 (pow.f64 (.f64 b a) 2) 3)) (/.f64 1 (+.f64 y (-.f64 x (.f64 b a))))) (+.f64 (.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (+.f64 y x) 2)) (+.f64 (.f64 (pow.f64 (.f64 b a) 2) (pow.f64 (.f64 b a) 2)) (.f64 (pow.f64 (*.f64 b a) 2) (pow.f64 (+.f64 y x) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x y) 2) 3) (pow.f64 (pow.f64 (.f64 a b) 2) 3)) (.f64 (+.f64 y (-.f64 x (.f64 a b))) (+.f64 (+.f64 (pow.f64 (+.f64 x y) 4) (pow.f64 (.f64 a b) 4)) (.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (.f64 a b) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (.f64 a b) 6)) (+.f64 y (-.f64 x (.f64 a b)))) (+.f64 (pow.f64 (+.f64 x y) 4) (fma.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (.f64 a b) 2) (pow.f64 (.f64 a b) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (.f64 a b) 6)) (-.f64 x (fma.f64 a b (neg.f64 y)))) (+.f64 (pow.f64 (+.f64 x y) 4) (fma.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 a b) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y x) 3)) (.f64 (pow.f64 (.f64 b a) 3) (pow.f64 (.f64 b a) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 b a) (-.f64 (.f64 b a) (+.f64 y x)))))) (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 b a) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (.f64 a b) 6)) (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 b (.f64 a (-.f64 (.f64 a b) (+.f64 x y)))))) (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 a b) 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 6) (pow.f64 (.f64 a b) 6)) (.f64 (fma.f64 b (.f64 a (-.f64 (.f64 a b) (+.f64 x y))) (pow.f64 (+.f64 x y) 2)) (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 a b) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 y x) 3) 3) (pow.f64 (pow.f64 (.f64 b a) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 b a) (-.f64 (.f64 b a) (+.f64 y x)))))) (+.f64 (.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 y x) 3)) (-.f64 (.f64 (pow.f64 (.f64 b a) 3) (pow.f64 (.f64 b a) 3)) (.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 b a) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x y) 3) 3) (pow.f64 (pow.f64 (.f64 a b) 3) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 b (.f64 a (-.f64 (.f64 a b) (+.f64 x y)))))) (+.f64 (pow.f64 (+.f64 x y) 6) (-.f64 (pow.f64 (.f64 a b) 6) (.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 a b) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x y) 3) 3) (pow.f64 (pow.f64 (.f64 a b) 3) 3)) (fma.f64 (pow.f64 (.f64 a b) 3) (-.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (+.f64 x y) 3)) (pow.f64 (+.f64 x y) 6))) (fma.f64 b (.f64 a (-.f64 (*.f64 a b) (+.f64 x y))) (pow.f64 (+.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x y) 3) 3) (pow.f64 (pow.f64 (.f64 a b) 3) 3)) (.f64 (fma.f64 b (.f64 a (-.f64 (.f64 a b) (+.f64 x y))) (pow.f64 (+.f64 x y) 2)) (fma.f64 (pow.f64 (.f64 a b) 3) (-.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (+.f64 x y) 3)) (pow.f64 (+.f64 x y) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (.f64 b a) 2)) 1) (+.f64 y (-.f64 x (.f64 b a))))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (.f64 b a) 2)) (sqrt.f64 (+.f64 y (-.f64 x (.f64 b a))))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 b a)))))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (.f64 b a) 2)) (.f64 (cbrt.f64 (+.f64 y (-.f64 x (.f64 b a)))) (cbrt.f64 (+.f64 y (-.f64 x (.f64 b a)))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 b a)))))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (.f64 b a) 2)) (+.f64 (sqrt.f64 (.f64 b a)) (sqrt.f64 (+.f64 y x)))) (-.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (*.f64 b a))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (.f64 a b) 2)) (.f64 (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (.f64 a b))) (+.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (.f64 a b) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (+.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (.f64 a b)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 b a) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 b a) (-.f64 (.f64 b a) (+.f64 y x)))))
(.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 a b) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 b (.f64 a (-.f64 (*.f64 a b) (+.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 a b) 3)) (fma.f64 b (.f64 a (-.f64 (*.f64 a b) (+.f64 x y))) (pow.f64 (+.f64 x y) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 b a) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 b a) (-.f64 (.f64 b a) (+.f64 y x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 b a) (-.f64 (*.f64 b a) (+.f64 y x))))))
(.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 a b) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 b (.f64 a (-.f64 (*.f64 a b) (+.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 a b) 3)) (fma.f64 b (.f64 a (-.f64 (*.f64 a b) (+.f64 x y))) (pow.f64 (+.f64 x y) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 b a) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 b a) (-.f64 (.f64 b a) (+.f64 y x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 b a) (-.f64 (.f64 b a) (+.f64 y x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 b a) (-.f64 (*.f64 b a) (+.f64 y x))))))
(.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 a b) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 b (.f64 a (-.f64 (*.f64 a b) (+.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 a b) 3)) (fma.f64 b (.f64 a (-.f64 (*.f64 a b) (+.f64 x y))) (pow.f64 (+.f64 x y) 2)))
(pow.f64 (fma.f64 b a (+.f64 y x)) 1)
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(pow.f64 (sqrt.f64 (fma.f64 b a (+.f64 y x))) 2)
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(pow.f64 (cbrt.f64 (fma.f64 b a (+.f64 y x))) 3)
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(pow.f64 (pow.f64 (fma.f64 b a (+.f64 y x)) 3) 1/3)
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(sqrt.f64 (pow.f64 (fma.f64 b a (+.f64 y x)) 2))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 a b y) x) 2))
(fabs.f64 (+.f64 x (fma.f64 a b y)))
(log.f64 (exp.f64 (fma.f64 b a (+.f64 y x))))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b a (+.f64 y x)))))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(cbrt.f64 (pow.f64 (fma.f64 b a (+.f64 y x)) 3))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(expm1.f64 (log1p.f64 (fma.f64 b a (+.f64 y x))))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(exp.f64 (log.f64 (fma.f64 b a (+.f64 y x))))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(log1p.f64 (expm1.f64 (fma.f64 b a (+.f64 y x))))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 b a (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 a b (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 1 y (+.f64 x (*.f64 b a)))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 1 (+.f64 y x) (*.f64 b a))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 1 (*.f64 b a) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 (sqrt.f64 (.f64 b a)) (sqrt.f64 (.f64 b a)) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 b a))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x (*.f64 b a)))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2) (cbrt.f64 (.f64 b a)) (+.f64 y x))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (cbrt.f64 (+.f64 y x)) (*.f64 b a))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (+.f64 x (*.f64 b a)))
(+.f64 (fma.f64 a b y) x)
(+.f64 x (fma.f64 a b y))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 25 computations (37.5% saved)

series3.0ms (0%)

Counts

3 → 68

Calls

18 calls:

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

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`associate-/r*`
900×	`associate-/l*`
866×	`distribute-rgt-in`
834×	`distribute-lft-in`
638×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	259	53
2	3566	53

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 2))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 2))) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 2))) (log.f64 t)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 3))) (+.f64 (log.f64 t) (pow.f64 (log.f64 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 3))) (+.f64 (log.f64 t) (pow.f64 (log.f64 t) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 3))) (+.f64 1 (pow.f64 (log.f64 t) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 3))) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 1 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#<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (log.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (log.f64 t)) -1/2) (pow.f64 (-.f64 1 (log.f64 t)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (log.f64 t)))) (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 t)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (log.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (log.f64 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (-.f64 1 (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 t))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (log.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 t) 2))) (+.f64 1 (log.f64 t)))))) 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simplify241.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

930×	`+-commutative`
832×	`associate-+r+`
816×	`associate-+l+`
798×	`associate-r`
668×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	494	8569
1	1461	8209
2	6333	8209

Stop Event

1×	node limit

Counts

245 → 267

Calls

Call 1

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

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

eval392.0ms (3.1%)

Compiler: Compiled 17357 to 8317 computations (52.1% saved)

prune192.0ms (1.5%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	707	5	712
Fresh	0	7	7
Picked	0	1	1
Done	1	8	9
Total	708	21	729

Error

Counts

729 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	51.1b	(/.f64 (-.f64 (.f64 y y) (.f64 (+.f64 x (.f64 b a)) (+.f64 x (.f64 b a)))) (-.f64 (-.f64 y x) (*.f64 b a)))
	36.2b	(/.f64 1 (/.f64 1 (+.f64 z (-.f64 x (*.f64 (log.f64 t) z)))))
	45.6b	(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (-.f64 (/.f64 (.f64 x x) (-.f64 y x)) (*.f64 b a)))
✓	20.2b	(+.f64 (+.f64 y x) (*.f64 b a))
	43.3b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 b a))
✓	43.0b	(+.f64 (.f64 (-.f64 1 (log.f64 t)) z) (.f64 -1/2 b))
	34.8b	(+.f64 (*.f64 z (-.f64 1 (log.f64 t))) y)
	36.5b	(+.f64 (*.f64 a b) y)
✓	37.6b	(+.f64 (*.f64 -1/2 b) x)
	27.1b	(+.f64 y (*.f64 (-.f64 a 1/2) b))
	36.2b	(+.f64 x (/.f64 (-.f64 1 (pow.f64 (log.f64 t) 2)) (/.f64 (+.f64 1 (log.f64 t)) z)))
✓	36.2b	(+.f64 x (/.f64 z (/.f64 1 (-.f64 1 (log.f64 t)))))
✓	36.1b	(+.f64 x (-.f64 z (*.f64 (log.f64 t) z)))
✓	37.7b	(+.f64 x (*.f64 b a))
✓	29.2b	(+.f64 x y)
	44.8b	(*.f64 (-.f64 a 1/2) b)
	52.1b	(*.f64 (-.f64 1 (log.f64 t)) z)
✓	53.8b	(*.f64 a b)
✓	53.4b	(*.f64 -1/2 b)
	45.1b	y
	46.7b	x

Compiler

Compiled 292 to 214 computations (26.7% saved)

regimes271.0ms (2.1%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

12 calls:

41.0ms	z
19.0ms	(*.f64 (-.f64 a 1/2) b)
17.0ms	(log.f64 t)
17.0ms	a
17.0ms	b

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 x y)`
0.0b	1	`(log.f64 t)`
0.0b	1	`(*.f64 (-.f64 a 1/2) b)`
0.0b	1	`(-.f64 a 1/2)`

Compiler

Compiled 475 to 254 computations (46.5% saved)

regimes244.0ms (1.9%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

12 calls:

47.0ms	a
47.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
19.0ms	(+.f64 x y)
16.0ms	b
15.0ms	y

Results

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

Compiler

Compiled 352 to 200 computations (43.2% saved)

regimes539.0ms (4.3%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

10 calls:

80.0ms	(log.f64 t)
64.0ms	(+.f64 x y)
61.0ms	y
53.0ms	(-.f64 a 1/2)
53.0ms	a

Results

Error	Segments	Branch
10.6b	1	`x`
8.2b	5	`y`
4.7b	3	`z`
9.5b	3	`t`
9.2b	3	`a`
5.3b	3	`b`
7.0b	3	`(+.f64 x y)`
9.5b	3	`(log.f64 t)`
3.3b	3	`(*.f64 (-.f64 a 1/2) b)`
9.2b	3	`(-.f64 a 1/2)`

Compiler

Compiled 287 to 160 computations (44.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0847424178635747e+55	1.0754764080395209e+59
0.0ms	-21063987623.93079	-9900601176.805445

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes196.0ms (1.5%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

10 calls:

43.0ms	z
31.0ms	(*.f64 (-.f64 a 1/2) b)
30.0ms	b
16.0ms	a
13.0ms	(log.f64 t)

Results

Error	Segments	Branch
10.6b	1	`x`
10.6b	1	`y`
5.9b	3	`z`
10.6b	1	`t`
10.6b	1	`a`
9.2b	3	`b`
10.6b	1	`(+.f64 x y)`
10.6b	1	`(log.f64 t)`
9.0b	3	`(*.f64 (-.f64 a 1/2) b)`
10.6b	1	`(-.f64 a 1/2)`

Compiler

Compiled 233 to 133 computations (42.9% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	5.995840975462464e+150	5.066048442860408e+153
20.0ms	-4.532741542347627e+199	-9.078771153704468e+196

Results

37.0ms

256×

body

256

valid

Compiler

Compiled 527 to 407 computations (22.8% saved)

regimes147.0ms (1.2%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

10 calls:

37.0ms	z
27.0ms	(*.f64 (-.f64 a 1/2) b)
13.0ms	b
10.0ms	x
10.0ms	a

Results

Error	Segments	Branch
10.6b	1	`x`
10.6b	1	`y`
6.3b	3	`z`
10.6b	1	`t`
10.6b	1	`a`
10.6b	1	`b`
10.6b	1	`(+.f64 x y)`
10.6b	1	`(log.f64 t)`
9.5b	3	`(*.f64 (-.f64 a 1/2) b)`
10.6b	1	`(-.f64 a 1/2)`

Compiler

Compiled 215 to 123 computations (42.8% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	5.995840975462464e+150	5.066048442860408e+153
21.0ms	-4.532741542347627e+199	-9.078771153704468e+196

Results

37.0ms

256×

body

256

valid

Compiler

Compiled 527 to 407 computations (22.8% saved)

regimes111.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

10 calls:

26.0ms	z
10.0ms	a
10.0ms	(*.f64 (-.f64 a 1/2) b)
9.0ms	t
9.0ms	x

Results

Error	Segments	Branch
10.6b	1	`x`
10.6b	1	`y`
7.2b	3	`z`
10.6b	1	`t`
10.6b	1	`a`
10.6b	1	`b`
10.6b	1	`(+.f64 x y)`
10.6b	1	`(log.f64 t)`
10.6b	1	`(*.f64 (-.f64 a 1/2) b)`
10.6b	1	`(-.f64 a 1/2)`

Compiler

Compiled 199 to 116 computations (41.7% saved)

bsearch81.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	1.5164088949432318e+223	3.776784591331561e+238
21.0ms	-4.532741542347627e+199	-9.078771153704468e+196

Results

77.0ms

288×

body

256

valid

Compiler

Compiled 553 to 437 computations (21% saved)

regimes108.0ms (0.9%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

9 calls:

34.0ms	z
10.0ms	(*.f64 (-.f64 a 1/2) b)
9.0ms	a
9.0ms	y
9.0ms	x

Results

Error	Segments	Branch
10.6b	1	`x`
10.6b	1	`y`
10.6b	1	`z`
10.6b	1	`t`
10.6b	1	`a`
10.6b	1	`b`
10.6b	1	`(+.f64 x y)`
10.6b	1	`(*.f64 (-.f64 a 1/2) b)`
10.6b	1	`(-.f64 a 1/2)`

Compiler

Compiled 185 to 105 computations (43.2% saved)

regimes300.0ms (2.4%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

9 calls:

85.0ms	a
60.0ms	z
36.0ms	t
29.0ms	y
28.0ms	(*.f64 (-.f64 a 1/2) b)

Results

Error	Segments	Branch
13.9b	2	`x`
13.3b	4	`y`
18.8b	3	`z`
17.1b	5	`t`
16.8b	4	`a`
14.1b	3	`b`
11.0b	2	`(+.f64 x y)`
14.9b	3	`(*.f64 (-.f64 a 1/2) b)`
20.2b	1	`(-.f64 a 1/2)`

Compiler

Compiled 134 to 90 computations (32.8% saved)

bsearch48.0ms (0.4%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.661542619297418e-123	-8.330043553032536e-194

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes409.0ms (3.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

9 calls:

154.0ms	t
96.0ms	a
43.0ms	z
25.0ms	(*.f64 (-.f64 a 1/2) b)
20.0ms	(-.f64 a 1/2)

Results

Error	Segments	Branch
19.4b	2	`x`
16.1b	2	`y`
24.6b	6	`z`
23.0b	8	`t`
21.6b	7	`a`
20.1b	3	`b`
15.0b	2	`(+.f64 x y)`
18.0b	3	`(*.f64 (-.f64 a 1/2) b)`
23.7b	5	`(-.f64 a 1/2)`

Compiler

Compiled 120 to 84 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.119422089135961e-120	5.2132939201596624e-120

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes223.0ms (1.8%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

9 calls:

35.0ms	a
30.0ms	y
27.0ms	(*.f64 (-.f64 a 1/2) b)
25.0ms	(+.f64 x y)
25.0ms	t

Results

Error	Segments	Branch
22.3b	3	`x`
20.3b	5	`y`
28.2b	3	`z`
28.2b	3	`t`
23.3b	5	`a`
21.6b	4	`b`
17.9b	3	`(+.f64 x y)`
21.0b	3	`(*.f64 (-.f64 a 1/2) b)`
25.2b	3	`(-.f64 a 1/2)`

Compiler

Compiled 113 to 80 computations (29.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.119422089135961e-120	5.2132939201596624e-120
0.0ms	-1.1915992114823333e-7	-1.373469473055562e-8

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes203.0ms (1.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

9 calls:

33.0ms	a
29.0ms	b
28.0ms	y
23.0ms	(*.f64 (-.f64 a 1/2) b)
23.0ms	x

Results

Error	Segments	Branch
26.0b	3	`x`
20.3b	5	`y`
28.2b	3	`z`
28.2b	3	`t`
23.9b	5	`a`
21.3b	5	`b`
19.0b	3	`(+.f64 x y)`
21.0b	3	`(*.f64 (-.f64 a 1/2) b)`
25.7b	3	`(-.f64 a 1/2)`

Compiler

Compiled 108 to 79 computations (26.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.255694571957842e+115	1.1068449754797166e+117
0.0ms	-1.1915992114823333e-7	-1.373469473055562e-8

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes183.0ms (1.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

9 calls:

33.0ms	x
24.0ms	b
23.0ms	y
22.0ms	a
22.0ms	(*.f64 (-.f64 a 1/2) b)

Results

Error	Segments	Branch
25.0b	5	`x`
22.8b	5	`y`
28.2b	3	`z`
28.2b	3	`t`
26.5b	5	`a`
22.0b	5	`b`
20.9b	3	`(+.f64 x y)`
21.0b	3	`(*.f64 (-.f64 a 1/2) b)`
26.5b	5	`(-.f64 a 1/2)`

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.255694571957842e+115	1.1068449754797166e+117
0.0ms	-1.1994843696548944e+118	-4.32265882142046e+112

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes114.0ms (0.9%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

7 calls:

27.0ms	b
24.0ms	(+.f64 x y)
21.0ms	a
19.0ms	y
12.0ms	x

Results

Error	Segments	Branch
27.6b	3	`x`
26.8b	5	`y`
29.2b	1	`z`
29.2b	1	`t`
26.5b	5	`a`
23.7b	5	`b`
25.4b	5	`(+.f64 x y)`

Compiler

Compiled 68 to 53 computations (22.1% saved)

bsearch89.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
26.0ms	3.2553907255336695e+167	1.3598483859949457e+172
14.0ms	5.9809777441154096e+113	1.541169317118083e+114
26.0ms	1.4483948511389573e+79	3.1986580157716966e+95
23.0ms	-2.435039325166897e+130	-5.701675260391651e+125

Results

70.0ms	496×	body	256	valid
14.0ms	99×	body	256	infinite

Compiler

Compiled 651 to 535 computations (17.8% saved)

regimes149.0ms (1.2%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

6 calls:

44.0ms	b
27.0ms	a
26.0ms	z
20.0ms	t
19.0ms	y

Results

Error	Segments	Branch
31.3b	3	`x`
30.3b	5	`y`
39.7b	8	`z`
39.9b	5	`t`
38.0b	7	`a`
31.7b	12	`b`

Compiler

Compiled 56 to 45 computations (19.6% saved)

bsearch127.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	9.485945106435595e+24	5.163413294246772e+28
22.0ms	9.757110155540321e-144	7.560382516791993e-137
60.0ms	1.7915234029223983e-199	1.2364686651646938e-197
25.0ms	4.903143827097662e-247	9.95125579257925e-231

Results

121.0ms

544×

body

256

valid

Compiler

Compiled 643 to 533 computations (17.1% saved)

regimes177.0ms (1.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

6 calls:

72.0ms	b
46.0ms	z
19.0ms	a
19.0ms	t
10.0ms	y

Results

Error	Segments	Branch
31.3b	3	`x`
31.7b	3	`y`
39.7b	8	`z`
39.9b	5	`t`
40.4b	6	`a`
32.9b	11	`b`

Compiler

Compiled 53 to 44 computations (17% saved)

bsearch60.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	-2.7341288965481535e-111	-4.1204149659095386e-112
45.0ms	-1.1915992114823333e-7	-1.373469473055562e-8

Results

57.0ms

192×

body

256

valid

Compiler

Compiled 247 to 215 computations (13% saved)

regimes192.0ms (1.5%)

Accuracy

Total -29.5b remaining (-89.2%)

Threshold costs -29.5b (-89.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

6 calls:

58.0ms	b
42.0ms	a
41.0ms	x
23.0ms	z
16.0ms	t

Results

Error	Segments	Branch
33.1b	2	`x`
33.0b	2	`y`
39.7b	8	`z`
39.9b	5	`t`
40.4b	6	`a`
37.8b	10	`b`

Compiler

Compiled 50 to 42 computations (16% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	4.4152956071320063e-35	2.782971440399677e-30

Results

18.0ms

128×

body

256

valid

Compiler

Compiled 159 to 135 computations (15.1% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative`
18×	`*-commutative`
10×	`sub-neg`
6×	`neg-mul-1`
6×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	883
1	160	883
2	173	883
3	179	883
4	182	883

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b y)))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(if (<=.f64 (.f64 (-.f64 a 1/2) b) -20000000000) (+.f64 (+.f64 y x) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 20000000000000000204701340408171022992608776270649491456) (+.f64 (.f64 z (-.f64 1 (log.f64 t))) (+.f64 y x)) (+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))))
(if (<=.f64 z -129999999999999993648628020310056716694059085995420817093065590577455652408749469382619042559240422965246380833972797337190327292257182410204264567041593901919014764998854525010104074996978120916992) (+.f64 (.f64 z (-.f64 1 (log.f64 t))) y) (if (<=.f64 z 11500000000000000415593239741685837022249212063352633679984585918175454036646227987286807188309726157988243067604143928233727277291802337247460220469248) (+.f64 (+.f64 y x) (.f64 (-.f64 a 1/2) b)) (+.f64 x (*.f64 (-.f64 1 (log.f64 t)) z))))
(if (<=.f64 z -107999999999999998043088041208533792986529223933740061164196091812143446613025422931928838333387791583201094004368128602993350424146598271316586808333205949442219825905603939657339597334081750171648) (+.f64 x (.f64 (-.f64 1 (log.f64 t)) z)) (if (<=.f64 z 20499999999999998971145837776310149876090628385617567698932688006755749553871486667954737407409350704818222860913488245864417757306866589096007732035584) (+.f64 (+.f64 y x) (.f64 (-.f64 a 1/2) b)) (+.f64 x (*.f64 (-.f64 1 (log.f64 t)) z))))
(if (<=.f64 z -105000000000000003169076846473954803585401912224777577369291595335895673090689230805728695662125865194420790106262540271818729881732379542262977378049453382708338516880848336630524590454424452726784) (.f64 (-.f64 1 (log.f64 t)) z) (if (<=.f64 z 26000000000000002495859853134296512569789526683715210884821420332112182855972729889656646625254836106691252599891240711835887684219064534218011001239838969476712336302732069902986196437364355676874612769787792208705057980416) (+.f64 (+.f64 y x) (.f64 (-.f64 a 1/2) b)) (*.f64 (-.f64 1 (log.f64 t)) z)))
(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
(if (<=.f64 (+.f64 x y) -7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 x (.f64 (-.f64 a 1/2) b)) (+.f64 y (.f64 (-.f64 a 1/2) b)))
(if (<=.f64 (+.f64 x y) 5814709794364855/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (+.f64 x (.f64 (-.f64 a 1/2) b)) (+.f64 (.f64 a b) y))
(if (<=.f64 (+.f64 x y) -944473296573929/9444732965739290427392) (+.f64 x (.f64 a b)) (if (<=.f64 (+.f64 x y) 5814709794364855/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 (-.f64 a 1/2) b) (+.f64 (*.f64 a b) y)))
(if (<=.f64 (+.f64 x y) -944473296573929/9444732965739290427392) (+.f64 x (.f64 a b)) (if (<=.f64 (+.f64 x y) 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000) (.f64 (-.f64 a 1/2) b) y))
(if (<=.f64 (+.f64 x y) -9999999999999999665649998943273759183241515094863428494587753284228752052274941196820382078490267674695111155514343424) (+.f64 x y) (if (<=.f64 (+.f64 x y) 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000) (*.f64 (-.f64 a 1/2) b) y))
(if (<=.f64 b -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728) (.f64 -1/2 b) (if (<=.f64 b 16499999999999999551231836627079026267530123072064263232986180771262984493891523182592) (+.f64 x y) (if (<=.f64 b 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408) (.f64 a b) (if (<=.f64 b 1600000000000000061774390859871223044470432823861607023270781273097238256263883882723158268072690725496892014445810480486261236632587336141170668757978090118411628576768) (+.f64 x y) (*.f64 -1/2 b)))))
(if (<=.f64 y 3988368315302497/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) x (if (<=.f64 y 6679110162350063/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (.f64 a b) (if (<=.f64 y 3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) x (if (<=.f64 y 2300000000000000058049167360) (.f64 a b) y))))
(if (<=.f64 x -1662273001970115/18889465931478580854784) x (if (<=.f64 x -8772900204054141/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (*.f64 -1/2 b) y))
(if (<=.f64 y 7707137540612183/2854495385411919762116571938898990272765493248) x y)
x

Outputs
(+.f64 x (fma.f64 z (-.f64 1 (log.f64 t)) (fma.f64 (+.f64 a -1/2) b y)))
(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
(+.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 t))) (.f64 b (+.f64 a -1/2)))
(if (<=.f64 (.f64 (-.f64 a 1/2) b) -20000000000) (+.f64 (+.f64 y x) (.f64 (-.f64 a 1/2) b)) (if (<=.f64 (.f64 (-.f64 a 1/2) b) 20000000000000000204701340408171022992608776270649491456) (+.f64 (.f64 z (-.f64 1 (log.f64 t))) (+.f64 y x)) (+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))))
(if (or (<=.f64 (.f64 b (+.f64 a -1/2)) -20000000000) (not (<=.f64 (.f64 b (+.f64 a -1/2)) 20000000000000000204701340408171022992608776270649491456))) (+.f64 (+.f64 x y) (.f64 b (+.f64 a -1/2))) (+.f64 (+.f64 x y) (.f64 z (-.f64 1 (log.f64 t)))))
(if (<=.f64 z -129999999999999993648628020310056716694059085995420817093065590577455652408749469382619042559240422965246380833972797337190327292257182410204264567041593901919014764998854525010104074996978120916992) (+.f64 (.f64 z (-.f64 1 (log.f64 t))) y) (if (<=.f64 z 11500000000000000415593239741685837022249212063352633679984585918175454036646227987286807188309726157988243067604143928233727277291802337247460220469248) (+.f64 (+.f64 y x) (.f64 (-.f64 a 1/2) b)) (+.f64 x (*.f64 (-.f64 1 (log.f64 t)) z))))
(if (<=.f64 z -129999999999999993648628020310056716694059085995420817093065590577455652408749469382619042559240422965246380833972797337190327292257182410204264567041593901919014764998854525010104074996978120916992) (+.f64 y (.f64 z (-.f64 1 (log.f64 t)))) (if (<=.f64 z 11500000000000000415593239741685837022249212063352633679984585918175454036646227987286807188309726157988243067604143928233727277291802337247460220469248) (+.f64 (+.f64 x y) (.f64 b (+.f64 a -1/2))) (+.f64 x (*.f64 z (-.f64 1 (log.f64 t))))))
(if (<=.f64 z -107999999999999998043088041208533792986529223933740061164196091812143446613025422931928838333387791583201094004368128602993350424146598271316586808333205949442219825905603939657339597334081750171648) (+.f64 x (.f64 (-.f64 1 (log.f64 t)) z)) (if (<=.f64 z 20499999999999998971145837776310149876090628385617567698932688006755749553871486667954737407409350704818222860913488245864417757306866589096007732035584) (+.f64 (+.f64 y x) (.f64 (-.f64 a 1/2) b)) (+.f64 x (*.f64 (-.f64 1 (log.f64 t)) z))))
(if (or (<=.f64 z -107999999999999998043088041208533792986529223933740061164196091812143446613025422931928838333387791583201094004368128602993350424146598271316586808333205949442219825905603939657339597334081750171648) (not (<=.f64 z 20499999999999998971145837776310149876090628385617567698932688006755749553871486667954737407409350704818222860913488245864417757306866589096007732035584))) (+.f64 x (.f64 z (-.f64 1 (log.f64 t)))) (+.f64 (+.f64 x y) (.f64 b (+.f64 a -1/2))))
(if (<=.f64 z -105000000000000003169076846473954803585401912224777577369291595335895673090689230805728695662125865194420790106262540271818729881732379542262977378049453382708338516880848336630524590454424452726784) (.f64 (-.f64 1 (log.f64 t)) z) (if (<=.f64 z 26000000000000002495859853134296512569789526683715210884821420332112182855972729889656646625254836106691252599891240711835887684219064534218011001239838969476712336302732069902986196437364355676874612769787792208705057980416) (+.f64 (+.f64 y x) (.f64 (-.f64 a 1/2) b)) (*.f64 (-.f64 1 (log.f64 t)) z)))
(if (or (<=.f64 z -105000000000000003169076846473954803585401912224777577369291595335895673090689230805728695662125865194420790106262540271818729881732379542262977378049453382708338516880848336630524590454424452726784) (not (<=.f64 z 26000000000000002495859853134296512569789526683715210884821420332112182855972729889656646625254836106691252599891240711835887684219064534218011001239838969476712336302732069902986196437364355676874612769787792208705057980416))) (.f64 z (-.f64 1 (log.f64 t))) (+.f64 (+.f64 x y) (.f64 b (+.f64 a -1/2))))
(+.f64 (+.f64 y x) (*.f64 (-.f64 a 1/2) b))
(+.f64 (+.f64 x y) (*.f64 b (+.f64 a -1/2)))
(if (<=.f64 (+.f64 x y) -7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 x (.f64 (-.f64 a 1/2) b)) (+.f64 y (.f64 (-.f64 a 1/2) b)))
(if (<=.f64 (+.f64 x y) -7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 x (.f64 b (+.f64 a -1/2))) (+.f64 y (.f64 b (+.f64 a -1/2))))
(if (<=.f64 (+.f64 x y) 5814709794364855/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (+.f64 x (.f64 (-.f64 a 1/2) b)) (+.f64 (.f64 a b) y))
(if (<=.f64 (+.f64 x y) 5814709794364855/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (+.f64 x (.f64 b (+.f64 a -1/2))) (+.f64 y (.f64 a b)))
(if (<=.f64 (+.f64 x y) -944473296573929/9444732965739290427392) (+.f64 x (.f64 a b)) (if (<=.f64 (+.f64 x y) 5814709794364855/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 (-.f64 a 1/2) b) (+.f64 (*.f64 a b) y)))
(if (<=.f64 (+.f64 x y) -944473296573929/9444732965739290427392) (+.f64 x (.f64 a b)) (if (<=.f64 (+.f64 x y) 5814709794364855/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 b (+.f64 a -1/2)) (+.f64 y (*.f64 a b))))
(if (<=.f64 (+.f64 x y) -944473296573929/9444732965739290427392) (+.f64 x (.f64 a b)) (if (<=.f64 (+.f64 x y) 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000) (.f64 (-.f64 a 1/2) b) y))
(if (<=.f64 (+.f64 x y) -944473296573929/9444732965739290427392) (+.f64 x (.f64 a b)) (if (<=.f64 (+.f64 x y) 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000) (.f64 b (+.f64 a -1/2)) y))
(if (<=.f64 (+.f64 x y) -9999999999999999665649998943273759183241515094863428494587753284228752052274941196820382078490267674695111155514343424) (+.f64 x y) (if (<=.f64 (+.f64 x y) 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000) (*.f64 (-.f64 a 1/2) b) y))
(if (<=.f64 (+.f64 x y) -9999999999999999665649998943273759183241515094863428494587753284228752052274941196820382078490267674695111155514343424) (+.f64 x y) (if (<=.f64 (+.f64 x y) 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000) (*.f64 b (+.f64 a -1/2)) y))
(if (<=.f64 b -20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728) (.f64 -1/2 b) (if (<=.f64 b 16499999999999999551231836627079026267530123072064263232986180771262984493891523182592) (+.f64 x y) (if (<=.f64 b 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408) (.f64 a b) (if (<=.f64 b 1600000000000000061774390859871223044470432823861607023270781273097238256263883882723158268072690725496892014445810480486261236632587336141170668757978090118411628576768) (+.f64 x y) (*.f64 -1/2 b)))))
(if (<=.f64 y 3988368315302497/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) x (if (<=.f64 y 6679110162350063/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (.f64 a b) (if (<=.f64 y 3432398830065305/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152) x (if (<=.f64 y 2300000000000000058049167360) (.f64 a b) y))))
(if (<=.f64 x -1662273001970115/18889465931478580854784) x (if (<=.f64 x -8772900204054141/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (*.f64 -1/2 b) y))
(if (<=.f64 y 7707137540612183/2854495385411919762116571938898990272765493248) x y)
x

Compiler

Compiled 445 to 299 computations (32.8% saved)

soundness168.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1548×	`fma-neg`
1130×	`+-commutative`
1056×	`*-commutative`
902×	`distribute-neg-in`
798×	`fma-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	37	43
2	116	43
3	342	41
4	1047	39
5	3023	39
6	4403	39
7	6508	39
8	7526	39

Stop Event

1×	node limit

Compiler

Compiled 275 to 117 computations (57.5% saved)

end158.0ms (1.2%)

Compiler: Compiled 389 to 209 computations (46.3% saved)